From 71d37afa222f9ea5ca5bc7e25715efde4284a959 Mon Sep 17 00:00:00 2001 From: euwbah Date: Mon, 18 Dec 2023 04:54:45 +0800 Subject: [PATCH 1/4] Optimizing config for ondine --- configs.js | 163 +- drawn-objects.js | 296 +- harmonic-context.js | 265 +- index.html | 3 +- just-intonation.js | 501 +- main.js | 83 +- note-tracking.js | 35 +- recording.json | 56224 +++++++++++++++++++++++++++++++++++++++++- sculpture.js | 36 +- 9 files changed, 57142 insertions(+), 464 deletions(-) diff --git a/configs.js b/configs.js index 5a27e11..a49f8c5 100644 --- a/configs.js +++ b/configs.js @@ -7,16 +7,70 @@ export const SHOW_DEBUG_BALLS = true; export const USE_OCTAVE_REDUCED_PRIMES = true; /** - * Now supports 22 and 31 edo. + * For 22, 31 edo, `convertStepsToPossibleCoord` converts edostep information to possible ratios. + * + * For 12 edo, specify explicit `HarmonicCoordinates` over websocket to override arbitrary JI visualizations. + * Specify {@linkcode HARMONIC_CONTEXT_METHOD} `= '12ji'` + * + * The 12 edo steps can be arbitrary and is merely for the visualizer to remember which notes correspond to which + * MIDI key, and need not match up with the actual 12 edo key press. + * + * @type {12 | 22 | 31} */ -export const EDO = 22; -document.title = `${EDO} EDO 11-limit lattice`; +export const EDO = 12; +document.title = `${EDO} EDO ${EDO == 12 ? 'N' : 11}-limit lattice`; + +/** + * Hardcoded list of primes. Each prime number corresponds to one axis of the lattice. + */ +export const LIST_OF_PRIMES = [ + 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, + 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, + 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, + 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, + 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, + 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, + 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, + 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, + 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, + 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, + 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, + 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, + 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, + 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, + 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, + 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, + 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, + 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, + 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, + 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, + 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, + 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, + 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, + 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, + 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, + 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, + 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, + 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, + 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897 +]; export const SCAFFOLDING_SPACE_RATIO = 0.05; -// Set range of hues of the color wheel (in degrees) to assign +// Set range of hues of the color wheel (from 0 to 1) to assign // to the notes according to the circle of fifths. + +/** + * Starting hue of the color wheel 0-1 (0 is red). The tuning note A will correspond to this hue. + * + * {@linkcode MIN_FIFTH_HUE} can be greater than {@linkcode MAX_FIFTH_HUE} to reverse the direction of the color wheel. + */ export const MIN_FIFTH_HUE = 0.75; +/** + * Ending hue of the color wheel 0-1 (0 is red). The last fifth before A will correspond to this hue. + * + * {@linkcode MIN_FIFTH_HUE} can be greater than {@linkcode MAX_FIFTH_HUE} to reverse the direction of the color wheel. + */ export const MAX_FIFTH_HUE = 0.28; export const OCTAVES_COLOR = new Color('hsl(210, 7%, 60%)'); @@ -26,14 +80,43 @@ export const SEPTIMAL_COLOR = new Color('hsl(210, 60%, 50%)'); export const UNDECIMAL_COLOR = new Color('hsl(25, 100%, 60%)'); /** - * cb: critical band roughness 'least discordant' short term memory simulation method - * l2: least L2 norm distance from true centroid/origin method - * l2eo: least L2 norm distance from effective origin method - * @type {'cb' | 'l2'} + * Contains mapping of colors for each unit JI axis. + * + * @type {Object} + */ +export const JI_COLORS = (() => { + let colors = { + 2: OCTAVES_COLOR, + 3: FIFTHS_COLOR, + 5: THIRDS_COLOR, + 7: SEPTIMAL_COLOR, + 11: UNDECIMAL_COLOR + }; + + for (let i = 5; i < LIST_OF_PRIMES.length; i++) { + let prime = LIST_OF_PRIMES[i]; + let hue = 67 * i % 360; // 67 yields a spread distribution of colors + let sat = 100 - 17 * i % 50; + let val = 40 + 13 * i % 20; + colors[LIST_OF_PRIMES[i]] = new Color(`hsl(${hue}, ${sat}%, ${val}%)`); + } + + return colors; +})(); + +/** + * - cb: critical band roughness 'least discordant' short term memory simulation method + * - l2: least L2 norm distance from true centroid/origin method + * - l2eo: least L2 norm distance from effective origin method + * - 12ji: Just intonation with midi key on/off information sent as 12 edo, and explicit `HarmonicCoordinates` are + * sent in the websocket messages, no harmonic context detempering/'upscaling' required. Must set {@linkcode EDO} + * to 12. + * + * @type {'cb' | 'l2' | 'l2eo' | '12ji'} */ -export const HARMONIC_CONTEXT_METHOD = 'l2'; +export const HARMONIC_CONTEXT_METHOD = '12ji'; -export const MAX_SHORT_TERM_MEMORY = 7; +export const MAX_SHORT_TERM_MEMORY = 9; export const MAX_DISSONANCE = 23; /** @@ -52,23 +135,23 @@ export const MAX_NEW_NOTES_BEFORE_FORGET = 6; /** * The maximum time a note in the HarmonicContext can go without being * played (nor sustained by pedal) and still be remembered. - * + * * Notes that are still held down (not by sustain ped.) will not be forgotten * by virtue of time delay. * * In the same spirit as `MAX_NEW_NOTES_BEFORE_FORGET` - * + * * @type {number} */ export const MAX_DURATION_BEFORE_FORGET_SECS = 8; /** - * The maximum time a note in the HarmonicContext can exist in STM + * The maximum time a note in the HarmonicContext can exist in STM * without being played, but sustained by pedal. - * + * * Notes that are still held down (not by sustain ped.) will not be forgotten * by virtue of time delay. - * + * * @type {number} */ export const MAX_DURATION_BEFORE_FORGET_SECS_SUSTAINED = 15; @@ -90,7 +173,7 @@ export const MAX_FATIGUE_SECS = 0.6; /** * Prevents harmonic context from going out of hand See HarmonicCoordinates.harmonicDistance() for heuristic implementation.*/ -export const MAX_HARMONIC_DISTANCE = 30; +export const MAX_HARMONIC_DISTANCE = 70; /** * How much does being a non-chord-tone affect the saturation of a ball. the closer the value to zero, the higher the effect. */ @@ -145,12 +228,14 @@ export const TEXT_SIZE = 8; export const PROJECTION_TYPE = '3d'; /** - * Set to true to run in sculpture mode. - * + * Set to `true` to run in sculpture mode. + * * In sculpture mode, the ./recording.json file is read and rendered into an * animated sculpture of the entire playback of the song. + * + * NOTE: */ -export const SCULPTURE_MODE = true; +export const SCULPTURE_MODE = false; export const SCULPTURE_PX_DENSITY = 2; export const SCULPTURE_BALL_SIZE = 10; /** @@ -170,7 +255,7 @@ export const SCULPTURE_CYCLE_DELAY = 1.6; /** * Camera config for 3D - * + * * In 3D, zoom settings are based on standard deviation of ball positions * affecting distance of camera from the centroid. */ @@ -179,18 +264,18 @@ export const CAM_SPEED_HAPPENINGNESS = 3.8; export const CAM_ROT_SPEED = 1.5; export const MAX_CAM_ROT_SPEED = 1.57; export const CAM_ROT_ACCEL = 0.01; -export const MIN_CAM_DIST = 70; -export const MAX_CAM_DIST = 400; +export const MIN_CAM_DIST = 30; +export const MAX_CAM_DIST = 420; export const CAM_DIST_HAPPENINGNESS = 110; -export const DIST_STD_DEV_RATIO = 2.5; // Each unit std dev will yield add this much cam distance +export const DIST_STD_DEV_RATIO = 7.0; // Each unit std dev will yield add this much cam distance export const DIST_CHANGE_SPEED = 0.4; -/** +/**== * How much jitter (in vector magnitude) to add when happeningness is maximum. */ export const JITTER_HAPPENINGNESS = 0.9; -/** +/** * Speed of particle system */ export const HARMONIC_CENTER_SPEED = 0.4; @@ -220,4 +305,30 @@ export const SUSTAINED_NOTE_HAPPENINGNESS = 0.01; export function addHappeningness(amt) { HAPPENINGNESS = Math.max(0, Math.min(1, HAPPENINGNESS + amt)); -} \ No newline at end of file +} + +/** + * Lookup index of a prime number in the list of primes. + * + * @type {Object} + */ +export const PRIME_LOOKUP = (() => { + let x = {}; + for (let i = 0; i < LIST_OF_PRIMES.length; i++) { + x[LIST_OF_PRIMES[i]] = i; + } + return x; +})(); +/** + * Lookup of the octave offset of a prime number. (E.g. 3 => 1, 5 => 2, 7 => 2, 11 => 3). + * Makes octave reduction calculation faster. + */ +export const PRIME_OCTAVE_LOOKUP = (() => { + let x = {}; + for (let i = 0; i < LIST_OF_PRIMES.length; i++) { + x[LIST_OF_PRIMES[i]] = Math.floor(Math.log2(LIST_OF_PRIMES[i])); + } + x[2] = 0; // 2 is the only prime that should not be octave reduced. + return x; +})(); + diff --git a/drawn-objects.js b/drawn-objects.js index ff8735f..ffda543 100644 --- a/drawn-objects.js +++ b/drawn-objects.js @@ -1,12 +1,12 @@ import { Text } from "troika-three-text"; -import { BALL_SIZE, BALL_SUSTAIN_SCALE_FACTOR, CAM_ROT_ACCEL, CAM_ROT_SPEED, CAM_SPEED, CAM_SPEED_HAPPENINGNESS, DIST_CHANGE_SPEED, DIST_STD_DEV_RATIO, EDO, FIFTHS_COLOR, HARMONIC_CENTER_SPEED, HARMONIC_CENTER_SPEED_HAPPENINGNESS, HARMONIC_CENTROID_SIZE, JITTER_HAPPENINGNESS, LINE_THICKNESS, MAX_BALLS, MAX_CAM_DIST, MAX_CAM_ROT_SPEED, MAX_FIFTH_HUE, MIN_CAM_DIST, MIN_FIFTH_HUE, NON_CHORD_TONE_SAT_EFFECT, OCTAVES_COLOR, ORIGIN_SIZE, SCULPTURE_CAM_DIST, SCULPTURE_CAM_PHI_CYCLES, SCULPTURE_CAM_THETA_CYCLES, SCULPTURE_CYCLE_DURATION, SCULPTURE_MODE, SEPTIMAL_COLOR, SHOW_DEBUG_BALLS, TEXT_SIZE, TEXT_TYPE, THIRDS_COLOR, UNDECIMAL_COLOR } from "./configs.js"; +import { BALL_SIZE, BALL_SUSTAIN_SCALE_FACTOR, CAM_ROT_ACCEL, CAM_ROT_SPEED, CAM_SPEED, CAM_SPEED_HAPPENINGNESS, DIST_CHANGE_SPEED, DIST_STD_DEV_RATIO, EDO, FIFTHS_COLOR, HARMONIC_CENTER_SPEED, HARMONIC_CENTER_SPEED_HAPPENINGNESS, HARMONIC_CENTROID_SIZE, JITTER_HAPPENINGNESS, JI_COLORS, LINE_THICKNESS, MAX_BALLS, MAX_CAM_DIST, MAX_CAM_ROT_SPEED, MAX_FIFTH_HUE, MIN_CAM_DIST, MIN_FIFTH_HUE, NON_CHORD_TONE_SAT_EFFECT, OCTAVES_COLOR, ORIGIN_SIZE, SCULPTURE_CAM_DIST, SCULPTURE_CAM_PHI_CYCLES, SCULPTURE_CAM_THETA_CYCLES, SCULPTURE_CYCLE_DURATION, SCULPTURE_MODE, SEPTIMAL_COLOR, SHOW_DEBUG_BALLS, TEXT_SIZE, TEXT_TYPE, THIRDS_COLOR, UNDECIMAL_COLOR } from "./configs.js"; import { HarmonicContext } from "./harmonic-context.js"; import { EDOSTEPS_TO_FIFTHS_MAP, HarmonicCoordinates } from "./just-intonation.js"; import * as THREE from "three"; /** - * Adds jitter to a vector based on {@link HAPPENINGNESS} - * + * Adds jitter to a vector based on {@linkcode HAPPENINGNESS} + * * @param {THREE.Vector3} vec Input vector. * @returns {THREE.Vector3} A new vector with jitter applied. */ @@ -17,21 +17,21 @@ function addJitter(vec) { /** * Wrapper around THREE's camera. - * + * * In 3D, camera always points at centerX/Y/Z and is located in terms of * spherical coordinates (radius, theta, phi) about the center point. */ export class Camera { /** * Three JS camera instance - * + * * @type {THREE.Camera} */ camera; - /** + /** * center represents 3D coords of tonal center - * + * * @type {THREE.Vector3} */ targetCenter = new THREE.Vector3(); @@ -42,15 +42,15 @@ export class Camera { /** * @type {number} - * + * * The rotation of the camera about the center point along the X-Z plane. (circling the Y axis) * For 3D. - * + * * 0: right of center * PI/2: in front of center * PI: left of center * 3PI/2: behind center - * + * * x = radius * sin(phi) * cos(theta) * z = radius * sin(phi) * sin(theta) */ @@ -58,21 +58,21 @@ export class Camera { /** * Stores current yaw rotation speed - * + * * @type {number} */ dTheta = 0; /** * @type {number} - * + * * The Y rotation of the camera about the center point after applying theta rotation. * For 3D. - * + * * 0: directly above center * PI/2: center * PI: directly below center - * + * * y = radius * cos(phi) */ phi = Math.PI * 0.65; // start under center point @@ -94,9 +94,9 @@ export class Camera { constructor(harmonicContext) { this.#harmonicContext = harmonicContext; this.camera = new THREE.PerspectiveCamera( - SCULPTURE_MODE ? 75 : 50, - window.innerWidth / window.innerHeight, - 1, + SCULPTURE_MODE ? 75 : 50, + window.innerWidth / window.innerHeight, + 1, SCULPTURE_MODE ? 10000 : 1000); this.pointLight = new THREE.PointLight(0xffffff, 0, 0, 1.4); scene.add(this.pointLight); @@ -112,8 +112,8 @@ export class Camera { /** * Update the camera's position. - * - * @param {number} stdDeviation The stdDeviation of the {@link BallsManager} + * + * @param {number} stdDeviation The stdDeviation of the {@linkcode BallsManager} */ tick(stdDeviation) { let dt = deltaTime > 1000 ? 1000 : deltaTime; @@ -122,7 +122,7 @@ export class Camera { this.center.x += (this.targetCenter.x - this.center.x) * dt / 1000 * (1 + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS) * CAM_SPEED; this.center.y += (this.targetCenter.y - this.center.y) * dt / 1000 * (1 + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS) * CAM_SPEED; this.center.z += (this.targetCenter.z - this.center.z) * dt / 1000 * (1 + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS) * CAM_SPEED; - + this.distTarget = MIN_CAM_DIST + stdDeviation * DIST_STD_DEV_RATIO + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS; this.distTarget = Math.max(MIN_CAM_DIST, Math.min(MAX_CAM_DIST, this.distTarget)); this.dist += (this.distTarget - this.dist) * dt / 1000 * DIST_CHANGE_SPEED; @@ -149,12 +149,12 @@ export class Camera { targetRotSpd = Math.min(MAX_CAM_ROT_SPEED, Math.abs(targetRotSpd)) * Math.sign(targetRotSpd); this.dTheta = CAM_ROT_ACCEL * targetRotSpd + (1 - CAM_ROT_ACCEL) * this.dTheta; - + this.theta += dt / 1000 * this.dTheta; if (this.theta > 2 * Math.PI) this.theta -= 2 * Math.PI; - + this.phi = 0.97 * this.phi + 0.03 * Math.PI * (0.65 - Math.pow(HAPPENINGNESS, 0.7) * 0.25); - + this.pointLight.position.set(camX, camY + 50, camZ); this.pointLight.intensity = 30 + 90 * (HAPPENINGNESS); } else { @@ -172,19 +172,21 @@ export class Camera { export class Ball { /** * Absolute harmonic coordinates - * + * * @type {HarmonicCoordinates} */ harmCoords; /** * Harmonic coordinates relative to the effective origin. + * + * @type {HarmonicCoordinates} */ relativeHarmCoords; #presence; // Number from 0-1 stepsFromA; /** * Position of the center of the ball - * + * * @type {THREE.Vector3} */ pos = new THREE.Vector3(); @@ -200,46 +202,46 @@ export class Ball { /** * The sphere geometry - * + * * @type {THREE.SphereGeometry} */ #geometry; /** * The material for the sphere - * + * * @type {THREE.MeshStandardMaterial} */ #material; /** * The mesh representing the ball object - * + * * @type {THREE.Mesh} */ #sphereMesh; /** * The troika text object - * + * * @type {Text} */ #textDisplay; /** * Text object for the fraction bar - * + * * @type {Text} */ #fractionBar; /** * Common setup between constructor and realive functions. - * - * @param {HarmonicCoordinates} harmCoords - * @param {number} stepsFromA - * @param {number} presence - * @param {boolean} isDebug + * + * @param {HarmonicCoordinates} harmCoords + * @param {number} stepsFromA + * @param {number} presence + * @param {boolean} isDebug */ setup(harmCoords, stepsFromA, presence, isDebug) { this.isDebug = isDebug; @@ -258,7 +260,7 @@ export class Ball { this.setup(harmCoords, stepsFromA, presence, isDebug); this.ballColor = new THREE.Color(); this.ballColor.setHSL(this.hue, this.saturation, this.lightness); - + this.#geometry = new THREE.SphereGeometry(BALL_SIZE, 24, 24); this.#material = new THREE.MeshStandardMaterial({ color: this.ballColor, @@ -273,7 +275,7 @@ export class Ball { scene.add(this.#sphereMesh); - if (!this.isDebug) { + if (!this.isDebug) { if (TEXT_TYPE !== 'none') { this.#textDisplay = new Text(); this.#textDisplay.position.set(0, TEXT_TYPE === 'relfraction' ? -20 : -15, 0); @@ -284,7 +286,7 @@ export class Ball { this.#textDisplay.anchorY = 'middle'; this.#sphereMesh.add(this.#textDisplay); } - + if (TEXT_TYPE === 'relfraction') { this.#fractionBar = new Text(); this.#fractionBar.text = '_'; @@ -303,9 +305,9 @@ export class Ball { /** * Reactivate a dead ball and put in into the scene. - * - * @param {HarmonicCoordinates} harmCoords - * @param {number} stepsFromA + * + * @param {HarmonicCoordinates} harmCoords + * @param {number} stepsFromA * @param {number} presence * @returns {Ball} this instance */ @@ -338,7 +340,7 @@ export class Ball { /** * Call this whenever ball is to be set inactive. - * + * * Removes ball from scene and stops it from updating. */ kill() { @@ -385,8 +387,8 @@ export class Ball { let nonChordToneMult = this.isChordTone ? 1 : NON_CHORD_TONE_SAT_EFFECT; this.ballColor.setHSL( - this.hue, - this.saturation * nonChordToneMult, + this.hue, + this.saturation * nonChordToneMult, this.lightness, ); @@ -426,14 +428,14 @@ export class Ball { export class BallsManager { /** * Represents active balls indexed by their harmonic coordinates - * + * * @type {Object.} */ balls = {}; /** * Contains list of inactive ball objects - * + * * @type {[Ball]} */ #listOfDeadBalls = []; @@ -445,24 +447,24 @@ export class BallsManager { /** * Ball for showing where the origin is. - * + * * @type {Ball} */ originBall; /** * Ball for showing where the harmonic center is. - * + * * @type {Ball} */ harmonicCenterBall; constructor() { - this.originBall = new Ball(new HarmonicCoordinates(0,0,0,0,0), 0, ORIGIN_SIZE, true); + this.originBall = new Ball(new HarmonicCoordinates([0]), 0, ORIGIN_SIZE, true); this.originBall.ballColor = new THREE.Color(0xEEEEEE); this.originBall.updateDrawing(); - this.harmonicCenterBall = new Ball(new HarmonicCoordinates(0,0,0,0,0), 0, HARMONIC_CENTROID_SIZE, true); + this.harmonicCenterBall = new Ball(new HarmonicCoordinates([0]), 0, HARMONIC_CENTROID_SIZE, true); } /** @@ -517,10 +519,10 @@ export class BallsManager { /** * Deletes an active ball at given harmonic coordinate. - * + * * Doesn't actually delete it, just moves the ball object into the reserve - * - * @param {HarmonicCoordinates} harmCoords + * + * @param {HarmonicCoordinates} harmCoords */ deleteBall(harmCoords) { if (this.balls[harmCoords]) { @@ -531,23 +533,23 @@ export class BallsManager { } /** - * + * * @param {Object.} keyState - * @param {HarmonicContext} harmonicContext + * @param {HarmonicContext} harmonicContext */ tick(keyState, harmonicContext) { let xValues = [], yValues = [], zValues = []; Object.entries(this.balls).forEach( - ([key, ball]) => { + ([hcKey, ball]) => { ball.tick(keyState, harmonicContext); - + if (ball.isDead) { this.deleteBall(ball.harmCoords); return; } - if (ball.harmCoords != key) { - console.warn('ball key mismatch: ', ball.harmCoords, key); + if (ball.harmCoords != hcKey) { + console.warn('ball key mismatch: ', ball.harmCoords, hcKey); } xValues.push(ball.pos.x); @@ -590,16 +592,16 @@ export class BallsManager { } export class KeyCenterParticleFountain { - + /** * Position of the particle emitter - * + * * @type {THREE.Vector3} */ pos = new THREE.Vector3(); /** - * A number from {@link MIN_FIFTH_HUE} to {@link MAX_FIFTH_HUE} representing the hue of the fountain. + * A number from {@linkcode MIN_FIFTH_HUE} to {@linkcode MAX_FIFTH_HUE} representing the hue of the fountain. */ hue; @@ -658,12 +660,12 @@ export class KeyCenterParticleFountain { x: 0, y: 0, z: 0 }) .emit(); - + this.system .addEmitter(this.emitter) .addRenderer(this.particleRenderer) .emit({}); - + this.pointLight = new THREE.PointLight(0xffffff, 0, 0, 1); scene.add(this.pointLight); } @@ -692,8 +694,8 @@ export class KeyCenterParticleFountain { new Nebula.Repulsion(this.pos, 0.1 + 0.3 * HAPPENINGNESS * HAPPENINGNESS, BALL_SIZE*2, Infinity, Nebula.ease.easeInQuad), new Nebula.Scale(new Nebula.Span(2 + HAPPENINGNESS, 1), 0), new Nebula.Color( - color, - new THREE.Color().setHSL(this.hue, 0.3 + 0.3 * HAPPENINGNESS, 0.5 + 0.2 * HAPPENINGNESS), + color, + new THREE.Color().setHSL(this.hue, 0.3 + 0.3 * HAPPENINGNESS, 0.5 + 0.2 * HAPPENINGNESS), Infinity, Nebula.ease.easeOutSine) ]).setInitializers([ new Nebula.Body(this.sprite), @@ -717,9 +719,9 @@ export class KeyCenterParticleFountain { export class Scaffolding { - /** - * Contains the most recent Ball object which requires the existence of this line. - * + /** + * Contains the most recent Ball object which requires the existence of this line. + * * @type {Ball} */ reasonForExisting; @@ -728,7 +730,7 @@ export class Scaffolding { * @type {THREE.Vector3} */ from = new THREE.Vector3(); - + /** * @type {THREE.Vector3} */ @@ -744,42 +746,50 @@ export class Scaffolding { toHarmCoords; thickness = LINE_THICKNESS; color; + + /** + * A prime number that represents the unit direction that this scaffolding points towards. + * + * Is negative if the direction is negative. + * + * @type {number} + */ adjacency; presence; /** * Contains the geometry of the cylinder - * + * * @type {THREE.CylinderGeometry} */ #geometry; /** * Contains the line material - * + * * @type {THREE.MeshStandardMaterial} */ #material; /** * Contains cylinder mesh - * + * * @type {THREE.Mesh} */ #mesh; /** * Common setup between scaffolding constructor and realive methods - * - * @param {HarmonicCoordinates} from - * @param {HarmonicCoordinates} to - * @param {Ball} reasonForExisting + * + * @param {HarmonicCoordinates} from + * @param {HarmonicCoordinates} to + * @param {Ball} reasonForExisting */ setup(from, to, reasonForExisting) { this.adjacency = from.checkAdjacent(to); - if(this.adjacency === 0) { + if (this.adjacency === 0) { console.log(from, to); - throw 'Attempted to construct scaffolding between non-adjacent coordinates' + throw new Error('Attempted to construct scaffolding between non-adjacent coordinates'); } this.reasonForExisting = reasonForExisting; @@ -789,33 +799,7 @@ export class Scaffolding { [this.from.x, this.from.y, this.from.z] = from.toUnscaledCoords(); [this.to.x, this.to.y, this.to.z] = to.toUnscaledCoords(); - switch (this.adjacency) { - case 2: - case -2: - // Octaves are very plain, nearly white with light blue tint - this.color = OCTAVES_COLOR; - break; - case 3: - case -3: - // fifths are peach - this.color = FIFTHS_COLOR; - break; - case 5: - case -5: - // thirds are mint green - this.color = THIRDS_COLOR; - break; - case 7: - case -7: - // blue notes are blue - this.color = SEPTIMAL_COLOR; - break; - case 11: - case -11: - // 11-limit notes are rusty - this.color = UNDECIMAL_COLOR; - break; - } + this.color = JI_COLORS[Math.abs(this.adjacency)]; // this.color.setAlpha(Math.pow(this.presence, 0.8)); this.thickness = Math.pow(this.presence, 0.9) * (LINE_THICKNESS + 0.2 * HAPPENINGNESS); @@ -831,9 +815,9 @@ export class Scaffolding { this.setup(from, to, reasonForExisting); this.#geometry = new THREE.CylinderGeometry( - 1, - 1, - 1, // default height to 1, scale later + 1, + 1, + 1, // default height to 1, scale later 8, // no. radial segments ); @@ -851,10 +835,10 @@ export class Scaffolding { /** * Re-activates this scaffolding. - * - * @param {HarmonicCoordinates} from - * @param {HarmonicCoordinates} to - * @param {Ball} reasonForExisting + * + * @param {HarmonicCoordinates} from + * @param {HarmonicCoordinates} to + * @param {Ball} reasonForExisting * @returns {Scaffolding} This instance */ realive(from, to, reasonForExisting) { @@ -865,9 +849,9 @@ export class Scaffolding { /** * Call this to remove line from scene and stop updating. - * - * If this is called even when the {@link reasonForExisting} is still alive, - * the scaffolding will still be removed and will stop updating until {@link realive} is called. + * + * If this is called even when the {@linkcode reasonForExisting} is still alive, + * the scaffolding will still be removed and will stop updating until {@linkcode realive} is called. */ kill() { this.presence = 0; @@ -902,18 +886,20 @@ export class Scaffolding { } export class ScaffoldingManager { - /** + /** * Mapping of [from, to] coordinates to scaffolding lines. - * + * * Only contains active lines. * + * TODO: Check whether "hashing" the new {@linkcode HarmonicCoordinates} implementation as a key works. + * * @type {Object.} */ #lines = {}; /** * Stores unused lines for reuse - * + * * @type {Scaffolding[]} */ #deadLines = []; @@ -930,11 +916,11 @@ export class ScaffoldingManager { /** * Inactivates a scaffolding line that connects the points from/toCoord. - * + * * The order of the two coordinates do not matter. - * - * @param {HarmonicCoordinates} fromCoord - * @param {HarmonicCoordinates} toCoord + * + * @param {HarmonicCoordinates} fromCoord + * @param {HarmonicCoordinates} toCoord */ #deleteLine(fromCoord, toCoord) { if (this.#lines[[fromCoord, toCoord]]) { @@ -949,6 +935,12 @@ export class ScaffoldingManager { } } + /** + * + * @param {HarmonicCoordinates} fromCoord + * @param {HarmonicCoordinates} toCoord + * @param {Ball} reasonForExisting + */ #createLine(fromCoord, toCoord, reasonForExisting) { this.#deleteLine(fromCoord, toCoord); let newScaffolding = this.#deadLines.pop(); @@ -975,40 +967,47 @@ export class ScaffoldingManager { /** * Create the necessary scaffolding between two places - * + * * @param {HarmonicCoordinates} fromHarmonicCoords * @param {Ball} toBall */ create(fromHarmonicCoords, toBall) { let path = []; let cursor = fromHarmonicCoords; + path.push(cursor); // start the path + let destination = toBall.harmCoords; + let maxIdx = Math.max(cursor.coords.length, destination.coords.length); + + // console.log('maxIdx:', maxIdx); + + let primeIdx = 0; + // populate path with adjacent coordinates to construct the scaffolding with - while (true) { + while (primeIdx < maxIdx) { + + let destPow = destination.coords[primeIdx] ?? 0; + let curPow = cursor.coords[primeIdx] ?? 0; + + if (curPow == destPow) { + // no more difference for this prime, go next. + primeIdx ++; + continue; + } + + let coordAdd = []; + coordAdd.length = primeIdx + 1; + coordAdd.fill(0); + if (curPow < destPow) { + coordAdd[primeIdx] = 1; + } else { + coordAdd[primeIdx] = -1; + } + + cursor = cursor.add(new HarmonicCoordinates(coordAdd)); + path.push(cursor); - if (destination.p2 < cursor.p2) - cursor = cursor.add(new HarmonicCoordinates(-1,0,0,0,0)); - else if (destination.p2 > cursor.p2) - cursor = cursor.add(new HarmonicCoordinates(1,0,0,0,0)); - else if (destination.p3 < cursor.p3) - cursor = cursor.add(new HarmonicCoordinates(0,-1,0,0,0)); - else if (destination.p3 > cursor.p3) - cursor = cursor.add(new HarmonicCoordinates(0,1,0,0,0)); - else if (destination.p5 < cursor.p5) - cursor = cursor.add(new HarmonicCoordinates(0,0,-1,0,0)); - else if (destination.p5 > cursor.p5) - cursor = cursor.add(new HarmonicCoordinates(0,0,1,0,0)); - else if (destination.p7 < cursor.p7) - cursor = cursor.add(new HarmonicCoordinates(0,0,0,-1,0)); - else if (destination.p7 > cursor.p7) - cursor = cursor.add(new HarmonicCoordinates(0,0,0,1,0)); - else if (destination.p11 < cursor.p11) - cursor = cursor.add(new HarmonicCoordinates(0,0,0,0,-1)); - else if (destination.p11 > cursor.p11) - cursor = cursor.add(new HarmonicCoordinates(0,0,0,0,1)); - else - break; } for (let i = 0; i < path.length - 1; i++) { @@ -1016,6 +1015,7 @@ export class ScaffoldingManager { let to = path[i+1]; this.#createLine(from, to, toBall); + // console.log('creating line between: ', from.toMonzoString(), to.toMonzoString()); } } -} \ No newline at end of file +} diff --git a/harmonic-context.js b/harmonic-context.js index dd7ea4f..73638c0 100644 --- a/harmonic-context.js +++ b/harmonic-context.js @@ -4,26 +4,41 @@ import { KEYS_STATE } from "./note-tracking.js"; export class Pitch { /** + * This value corresponds to edosteps of the pitch from A4 as per {@linkcode EDO} config. + * + * If running in `12ji` mode, this value is treated as 12 EDO, but is just an arbitrary step to keep track of which + * note information was sent by which midi key. + * * @type {number} */ stepsFromA; /** * Absolute harmonic coordinates from 1/1 - * + * * @type {HarmonicCoordinates} */ absoluteRatio; /** + * Exact frequency of the original pitch (tempered if {@linkcode EDO} = 22/31 or JI if in `12ji` {@linkcode HARMONIC_CONTEXT_METHOD} mode) * @type {number} */ frequency; /** - * @type {Pitch} + * The 'parent node' {@linkcode Pitch}. The each pitch coordinate is a node in a tree data structure, and the parent + * pitch is where scaffolding is drawn from. + * + * For detemperaments (non-`12ji` {@linkcode HARMONIC_CONTEXT_METHOD}), this denotes which existing pitch in pitch memory + * this new pitch is best heard relative to, i.e. `bestFitRelativeNote` in code below. + * + * Otherwise, when no detempering is done, this should just be the nearest node (in terms of L2-norm) to the + * this new pitch, so that minimal scaffolding can be drawn. + * + * @type {Pitch} */ origin; /** - * Harmonic coordinates relative to {@link origin} - * + * Harmonic coordinates relative to {@linkcode origin} + * * @type {HarmonicCoordinates} */ relativeRatio; @@ -58,7 +73,16 @@ export class Pitch { // and each addition of a new note will cause the harmonic centroid // (i.e. the 'key center') to update. export class HarmonicContext { - #avgHc = new HarmonicCoordinates(0,0,0,0,0); + /** + * This is a pseudo harmonic coordinate with invalid non-integer coordinate values. + * + * Used to determine where the projected 'centroid' is for the camera to point towards. + * + * Used to calculate harmonic distance for {@linkcode HARMONIC_CONTEXT_METHOD} = `l2` mode. + * + * @type {HarmonicCoordinates} + */ + #avgHc = new HarmonicCoordinates([0]); /** * In 2D proj, the third value is not used. */ @@ -77,18 +101,10 @@ export class HarmonicContext { #maxHarmDist = 0; #meanHarmDist = 0; /** - * A false origin chosen such that the ratios (w.r.t. effectiveOrigin) of the notes on screen - * is as simple as possible (minimal monzo numbers). - * - * NOTE: The centroid (this.#tonalCenterUnscaledCoords) of the Harmonic Context structure - * is not determined with this method, instead it is determined using the standard centroid - * algorithm: the mean of each axis of each pitch in the harmonic context. - * - * The difference between the effectiveOrigin and the centroid HarmonicCoordinates is that - * the effectiveOrigin has it's harmonic coordinates rounded to the nearest whole number. + * See {@linkcode effectiveOrigin} * @type {HarmonicCoordinates} */ - #effectiveOrigin = new HarmonicCoordinates(0,0,0,0,0); + #effectiveOrigin = new HarmonicCoordinates([0]); /** * stores the last time the effective origin was changed so that @@ -107,6 +123,11 @@ export class HarmonicContext { } + /** + * Dissonance score as per WASM dissonance calculations, evaluated every time {@linkcode updateStatistics} is called. + * + * Calculates the dissonance of all the notes in the {@linkcode shortTermMemory}. + */ get dissonance() { return this.#dissonance; } @@ -115,6 +136,10 @@ export class HarmonicContext { return this.#effectiveMaxDiss; } + /** + * A number ranging 0 to 1 representing the amount of dissonance fatigue. + * @type {number} + */ get fatigue() { return this.#fatigue; } @@ -130,6 +155,10 @@ export class HarmonicContext { /** * a 3D vector representing coords of the tonal center. * NOTE: tonal center is calculated using `#avcHc` not `#effectiveOrigin`. + * + * `[x, y, z]` + * + * @type {number[]} */ get tonalCenterUnscaledCoords() { return this.#tonalCenterUnscaledCoords; @@ -139,6 +168,20 @@ export class HarmonicContext { return this.shortTermMemory.map(x => x.frequency); } + + /** + * A false origin chosen such that the ratios (w.r.t. effectiveOrigin) of the notes on screen + * is as simple as possible (minimal monzo numbers). Also used to calculate harmonic distance for + * {@linkcode HARMONIC_CONTEXT_METHOD} `l2eo` mode. + * + * NOTE: The 3D centroid (this.#tonalCenterUnscaledCoords) of the Harmonic Context structure + * is not determined with this method, instead it is determined using the standard centroid + * algorithm: the mean of each axis of each pitch in the harmonic context. + * + * The difference between this `effectiveOrigin` and the centroid HarmonicCoordinates is that + * the effectiveOrigin has it's harmonic coordinates rounded to the nearest whole number. + * @type {HarmonicCoordinates} + */ get effectiveOrigin() { return this.#effectiveOrigin; } @@ -161,30 +204,60 @@ export class HarmonicContext { this.#tonalCenterUnscaledCoords = this.#avgHc.toUnscaledCoords(); let now = new Date(); + + // forget notes that are very old. + for (let i = 0; i < this.shortTermMemory.length; i++) { let p = this.shortTermMemory[i]; let keystate = KEYS_STATE[p.stepsFromA]; // use this to determine whether/when forgetting should occur. - if ((!keystate - && now - p.noteOnTime > MAX_DURATION_BEFORE_FORGET_SECS * 1000) - || (keystate && keystate.fromSustainPedal + if ((!keystate + && now - p.noteOnTime > MAX_DURATION_BEFORE_FORGET_SECS * 1000) + || (keystate && keystate.fromSustainPedal && now - p.noteOnTime > MAX_DURATION_BEFORE_FORGET_SECS_SUSTAINED * 1000)) { this.shortTermMemory.splice(i, 1); i --; } } } + + /** + * Removes the oldest note from {@linkcode shortTermMemory} (in terms of {@linkcode Pitch.noteOnTime}) + */ + removeOldest() { + let oldestIdx = -1; + for (let i = 0; i < this.shortTermMemory.length; i++) { + if (oldestIdx == -1) { + oldestIdx = i; + continue; + } + + if (this.shortTermMemory[i].noteOnTime < this.shortTermMemory[oldestIdx].noteOnTime) { + oldestIdx = i; + } + } + + if (oldestIdx != -1) { + this.shortTermMemory.splice(oldestIdx, 1); + } + } + /** - * Register a new note from noteOn event. + * Register a new note from noteOn event, performing detempering calculations. + * + * @param stepsFromA The edosteps from A of the note to add. If `12ji` mode, this should be used to distinguish + * between distinct MIDI notes. + * + * @param coords {number[]?} absolute harmonic coordinate vector (Monzo) of this note to add, specify if and only if + * {@linkcode HARMONIC_CONTEXT_METHOD} is `12ji`. * - * @param stepsFromA * @returns {[?Pitch, HarmonicCoordinates]} a tuple pair containing the pitch referenced in short term memory - * and the relative interval between the reference pitch and the new pitch. - * If the HarmonicContext is completely empty, the first item will be null. + * and the relative interval between the reference pitch and the new pitch. If the HarmonicContext is completely + * empty, the first item will be null, and the 'relative interval' is absolute with respect to the origin. */ - registerNote(stepsFromA) { + registerNote(stepsFromA, coords = null) { if (this.shortTermMemory.length === 0) { // 1. SIMPLE. - let harmonicCoordinates = new HarmonicCoordinates(0, 0, 0, 0, 0); + let harmonicCoordinates = new HarmonicCoordinates(coords ?? [0]); this.shortTermMemory.push(new Pitch(stepsFromA, null, harmonicCoordinates)); return [null, harmonicCoordinates]; } @@ -200,10 +273,10 @@ export class HarmonicContext { let stmFreqs = this.stmFrequencies; /** - * The preferred note that the ratio is relative to + * The preferred note that the ratio is relative to/constructed from. * @type {Pitch} */ - let bestFitRelativeNote; + let bestFitRelativeFrom; /** * the preferred perceived relative ratio between the `bestFitRelativeNote` and the new registered note. * @type {HarmonicCoordinates} @@ -215,7 +288,7 @@ export class HarmonicContext { * @type {HarmonicCoordinates} */ let newAbsRatio; - + /** * true if the new pitch is an octave of an existing pitch. * @type {boolean} @@ -223,7 +296,7 @@ export class HarmonicContext { let newPitchIsOctaveOfExistingPitches = this.containsOctavesOfNote(stepsFromA); /** - * if newAbsRatio is equal to some existing pitch in the short term memory, + * if newAbsRatio is equal to some existing pitch in the short term memory, * this will be a reference to that pitch. * @type {Pitch} */ @@ -240,6 +313,7 @@ export class HarmonicContext { let candidateRatios = convertStepsToPossibleCoord(stepsFromA - pitch.stepsFromA); let freqArrays = []; for (let r of candidateRatios) { + // consider just intonated interval relative to tempered/original pitch in STM. let candidateFreq = r.toFrequency(pitch.frequency); let freqs = stmFreqs.concat(candidateFreq); freqArrays.push(freqs); @@ -252,12 +326,12 @@ export class HarmonicContext { let freqMatrix = candidates_pitches.map(x => x[2]); let [p_idx, r_idx] = dissonanceMatrix(freqMatrix); - bestFitRelativeNote = candidates_pitches[p_idx][0]; + bestFitRelativeFrom = candidates_pitches[p_idx][0]; bestFitRatio = candidates_pitches[p_idx][1][r_idx]; // console.log(`using dissonanceMatrix: ${(new Date()) - t} ms`); // console.log(`Choosing`, bestFitRelativeNote, bestFitRatio); - newAbsRatio = bestFitRatio.add(bestFitRelativeNote.absoluteRatio); + newAbsRatio = bestFitRatio.add(bestFitRelativeFrom.absoluteRatio); existingPitch = this.getPitchByHarmCoords(newAbsRatio); let removeOffender = () => { @@ -267,8 +341,8 @@ export class HarmonicContext { this.shortTermMemory.splice(idxOfHighestDissonance, 1); } - if (!existingPitch) { - this.shortTermMemory.push(new Pitch(stepsFromA, bestFitRelativeNote, bestFitRatio)); + if (existingPitch == null) { + this.shortTermMemory.push(new Pitch(stepsFromA, bestFitRelativeFrom, bestFitRatio)); } else { // If this note is existing already, refresh its countdown timer. existingPitch.noteOnTime = new Date(); @@ -294,15 +368,15 @@ export class HarmonicContext { * where pitch: the relative pitch in short term memory this note is relative to * rel: the relative interval * abs: the aboslute interval from 1/1. - * + * * @type {[Pitch, HarmonicCoordinates, HarmonicCoordinates][]} */ - let candidates = []; + let candidates = []; for (let pitch of this.shortTermMemory) { // relative candidate ratios to note in shortTermMem let candidateRel = convertStepsToPossibleCoord(stepsFromA - pitch.stepsFromA); - let cds = + let cds = candidateRel .map(x => [pitch, x, x.add(pitch.absoluteRatio)]); candidates = candidates.concat(cds); @@ -311,7 +385,7 @@ export class HarmonicContext { let minDist = Infinity; /** * Stores the absolute harmonic coordinate of the best fit note. - * + * * @type {HarmonicCoordinates} */ newAbsRatio = null; @@ -323,7 +397,7 @@ export class HarmonicContext { dist = this.effectiveOrigin.harmonicDistance(abs); else if (HARMONIC_CONTEXT_METHOD == 'l2') dist = this.#avgHc.harmonicDistance(abs); - + if (dist < minDist) { minDist = dist; newAbsRatio = abs; @@ -337,21 +411,21 @@ export class HarmonicContext { existingPitch = this.getPitchByHarmCoords(newAbsRatio); - if (!existingPitch) { + if (existingPitch == null) { // prepare to add new pitch by assigning bestFitRelativeNote and bestFitRatio minDist = Infinity; // (not related to previous use) - + for (let pitch of this.shortTermMemory) { let dist = pitch.absoluteRatio.harmonicDistance(newAbsRatio); if (dist < minDist) { minDist = dist; - bestFitRelativeNote = pitch; - bestFitRatio = newAbsRatio.subtract(pitch.absoluteRatio); + bestFitRelativeFrom = pitch; } } + bestFitRatio = newAbsRatio.subtract(bestFitRelativeFrom.absoluteRatio); // so let's do it - this.shortTermMemory.push(new Pitch(stepsFromA, bestFitRelativeNote, bestFitRatio)); + this.shortTermMemory.push(new Pitch(stepsFromA, bestFitRelativeFrom, bestFitRatio)); } else { // If this note is existing already, refresh its countdown timer. existingPitch.noteOnTime = new Date(); @@ -361,22 +435,50 @@ export class HarmonicContext { // If max STM notes exceeded, remove the oldest note. if (this.shortTermMemory.length > MAX_SHORT_TERM_MEMORY) { - let oldest = this.shortTermMemory[0]; - for (let pitch of this.shortTermMemory) { - if (pitch.noteOnTime < oldest.noteOnTime) - oldest = pitch; - } - this.shortTermMemory.splice(this.shortTermMemory.indexOf(oldest), 1); + this.removeOldest(); + } + } else if (HARMONIC_CONTEXT_METHOD == '12ji') { + if (coords == null) throw new Error('12ji harmonic context method requires coordinates to be explicitly stated.'); + newAbsRatio = new HarmonicCoordinates(coords); + + existingPitch = this.getPitchByHarmCoords(newAbsRatio); + + if (existingPitch == null) { + // find the closest note in STM + bestFitRelativeFrom = this.shortTermMemory[0]; + let closestDist = bestFitRelativeFrom.absoluteRatio.harmonicDistance(newAbsRatio); + + this.shortTermMemory.forEach((pitch, idx) => { + if (idx == 0) return; + + let d = pitch.absoluteRatio.harmonicDistance(newAbsRatio); + if (d < closestDist) { + closestDist = d; + bestFitRelativeFrom = pitch; + } + }); + + bestFitRatio = newAbsRatio.subtract(bestFitRelativeFrom.absoluteRatio); + + this.shortTermMemory.push(new Pitch(stepsFromA, bestFitRelativeFrom, bestFitRatio)); + } else { + existingPitch.noteOnTime = new Date(); + } + + if (this.shortTermMemory.length > MAX_SHORT_TERM_MEMORY) { + this.removeOldest(); } } - - // 3. If the new pitch clashes with any pitch by 1 edostep, remove the old pitch from STM. - for (let i = 0; i < this.shortTermMemory.length - 1; i++) { - if (Math.abs(this.shortTermMemory[i].stepsFromA - stepsFromA) === 1) { - this.shortTermMemory.splice(i, 1); - i --; + // 3. If the new pitch clashes with any pitch by 1 edostep, remove the old pitch from STM. + // Don't use this for 12ji mode. + if (HARMONIC_CONTEXT_METHOD != '12ji') { + for (let i = 0; i < this.shortTermMemory.length - 1; i++) { + if (Math.abs(this.shortTermMemory[i].stepsFromA - stepsFromA) === 1) { + this.shortTermMemory.splice(i, 1); + i --; + } } } @@ -420,16 +522,17 @@ export class HarmonicContext { if (existingPitch) return [existingPitch.origin, existingPitch.relativeRatio]; else - return [bestFitRelativeNote, bestFitRatio]; + return [bestFitRelativeFrom, bestFitRatio]; } - // Only put things that don't require constant updating inside this function. - // this function is called after a noteOn event is received. + /** + * Only put things that don't require constant updating inside this function. + * this function is called after noteOn event, {@linkcode registerNote}, is received. + */ updateStatistics() { this.#dissonance = calculateDissonance(this.stmFrequencies); - let avg2, avg3, avg5, avg7, avg11; - avg2 = avg3 = avg5 = avg7 = avg11 = 0; + let sumHc = new HarmonicCoordinates([0]); // The fifths are in a circle. That means the arithmetic mean can't be used // to calculate the mean fifth as how the average of 30 degrees and 330 degrees @@ -447,11 +550,8 @@ export class HarmonicContext { if (this.shortTermMemory.length !== 0) { for (let pitch of this.shortTermMemory) { - avg2 += pitch.absoluteRatio.p2; - avg3 += pitch.absoluteRatio.p3; - avg5 += pitch.absoluteRatio.p5; - avg7 += pitch.absoluteRatio.p7; - avg11 += pitch.absoluteRatio.p11; + sumHc = sumHc.add(pitch.absoluteRatio); + let fifths = EDOSTEPS_TO_FIFTHS_MAP[mod(pitch.stepsFromA, EDO)]; let radians = fifths / EDO * Math.PI * 2; avgFifthX += Math.cos(radians); @@ -463,25 +563,18 @@ export class HarmonicContext { lowestp3 = pitch.absoluteRatio.p3; } - avg2 /= this.shortTermMemory.length; - avg3 /= this.shortTermMemory.length; - avg5 /= this.shortTermMemory.length; - avg7 /= this.shortTermMemory.length; - avg11 /= this.shortTermMemory.length; avgFifthX /= this.shortTermMemory.length; avgFifthY /= this.shortTermMemory.length; } - this.#avgHc = new HarmonicCoordinates(avg2, avg3, avg5, avg7, avg11); + this.#avgHc = new HarmonicCoordinates(sumHc.coords.map(x => x / this.shortTermMemory.length)); let now = new Date(); // 'change key' if (this.dissonance < CONSONANCE_THRESHOLD && now - this.#lastKeyChangeTime > FASTEST_KEY_CHANGE_SECS) { this.#lastKeyChangeTime = now; - let hc = new HarmonicCoordinates( - Math.round(avg2), Math.round(avg3), Math.round(avg5), Math.round(avg7), Math.round(avg11) - ); + let hc = this.#avgHc.round(); let p2 = hc.p2; let p3 = hc.p3; @@ -492,16 +585,19 @@ export class HarmonicContext { if (hc.p3 - lowestp3 > HIGHEST_REL_P3_DENOM) p3 -= hc.p3 - lowestp3 - HIGHEST_REL_P3_DENOM; - hc = new HarmonicCoordinates(p2, p3, hc.p5, hc.p7, hc.p11); + hc = new HarmonicCoordinates([p2, p3, ...hc.coords.slice(2)]); this.#effectiveOrigin = hc; } - if (avgFifthX === 0 && avgFifthY === 0) { - // In the very impossible case that the notes in the harmonic context are - // perfectly evenly distributed around the circle of fifths, just assume the key center to be A. - this.#centralFifth = 0; - } else { + // In the very impossible case that the notes in the harmonic context are + // perfectly evenly distributed around the circle of fifths, don't update the central fifth. + + // if (avgFifthX === 0 && avgFifthY === 0) { + // // this.#centralFifth = 0; + // } + + if (avgFifthX !== 0 || avgFifthY !== 0) { let centralFifthRadians = Math.atan2(avgFifthY, avgFifthX); // mod is necessary as central fifth radians returns negative for angles above 180. this.#centralFifth = mod(Math.round(EDO * centralFifthRadians / (2 * Math.PI)), EDO); @@ -535,11 +631,14 @@ export class HarmonicContext { /** * veh nai. - * + * * @returns a very cool display string */ toVeryNiceDisplayString() { - return this.shortTermMemory.map(x => x.stepsFromA.toString().padStart(4, '\xa0') + ' ' + x.absoluteRatio.toMonzoString()).reverse().join('\n'); + return this.shortTermMemory + .map(x => x.stepsFromA.toString().padStart(4, '\xa0') + ' ' + x.absoluteRatio.toMonzoString()) + .reverse() + .join('\n'); } // in the event the HarmonicCoordinates get out of hand or something... @@ -547,11 +646,11 @@ export class HarmonicContext { // there are no balls or scaffolding rendered. reset() { this.shortTermMemory = []; - this.#avgHc = new HarmonicCoordinates(0,0,0,0,0); + this.#avgHc = new HarmonicCoordinates([0]); this.#tonalCenterUnscaledCoords = [0, 0, 0]; this.#dissonance = 0; // this.#centralFifth = 0; don't reset fifths since it's probable the key will stay the same. - this.#effectiveOrigin = new HarmonicCoordinates(0,0,0,0,0); + this.#effectiveOrigin = new HarmonicCoordinates([0]); this.#meanHarmDist = 0; this.#maxHarmDist = 0; } diff --git a/index.html b/index.html index c75725c..9f3e578 100644 --- a/index.html +++ b/index.html @@ -25,7 +25,6 @@ "imports": { "three": "./node_modules/three/build/three.module.js", "three/addons/": "./node_modules/three/examples/jsm/", - // packages for troika three text "troika-three-text": "./node_modules/troika-three-text/dist/troika-three-text.esm.js", "troika-worker-utils": "./node_modules/troika-worker-utils/dist/troika-worker-utils.esm.js", "troika-three-utils": "./node_modules/troika-three-utils/dist/troika-three-utils.esm.js", @@ -68,4 +67,4 @@ - \ No newline at end of file + diff --git a/just-intonation.js b/just-intonation.js index 4c47b49..39dc9bf 100644 --- a/just-intonation.js +++ b/just-intonation.js @@ -1,4 +1,4 @@ -import { EDO, USE_OCTAVE_REDUCED_PRIMES } from './configs.js'; +import { PRIME_LOOKUP, PRIME_OCTAVE_LOOKUP, LIST_OF_PRIMES, EDO, USE_OCTAVE_REDUCED_PRIMES } from './configs.js'; function primeFactors(n) { const factors = {}; @@ -18,95 +18,250 @@ function primeFactors(n) { return factors; } -function toRad(deg) { - return deg/180 * Math.PI; +/** + * Adjusts distance scale globally. + * + * @type {number} + */ +const DIST_SCALE_FACTOR_3D = 20; + +/** + * Each successive prime's unit vector has phi rotated by this amount. + * (phi is the angle between the Y-axis and the XZ plane). + * + * Rotation is taken modulo 1 * pi (backwards rotations are handled by theta). + * + * This should be an irrational number that don't have similar nearby values when multiples of it are taken modulo pi. + * + * See https://www.desmos.com/calculator/ciawfuzaoy for a visualization of the rotations of the first N unit vectors + * for why these constants are chosen. + */ +const PHI_OFFSET = 10 * Math.PI * 2 * Math.SQRT2 / 2 / Math.sqrt(382) / 1.89999; + +/** + * Each successive prime's unit vector has theta rotated by this amount. + * (theta is the angle starting from the X-axis toward the direction of the Z-axis) + * + * Rotation is taken modulo 2 * pi. + * + * This should be an irrational number that don't have similar values when multiples of it are taken modulo 2*pi. + * + * See https://www.desmos.com/calculator/ciawfuzaoy for a visualization of the rotations of the first N unit vectors + * for why these constants are chosen. + */ +const THETA_OFFSET = 10 * Math.PI * 2 * Math.SQRT2 / 1.89999; + +/** + * The unit vector distance of each prime. Uses a squashed logarithmic scale with prime 2 as the unit length 1. + * + * @param {number} prime + * @returns + */ +function primeDistanceFunction(prime) { + return Math.log10(prime) - (Math.log10(2) - 1); } -const DIST_SCALE_FACTOR_3D = 20; -const P2_3d_X = 0; -const P2_3d_Y = Math.log2(2); -const P2_3d_Z = 0; -const P3_3d_X = Math.log2(3); -const P3_3d_Y = 0; -const P3_3d_Z = 0; -const P5_3d_X = Math.log2(5) * Math.sin(toRad(75)) * Math.sin(toRad(22.5)); -const P5_3d_Y = Math.log2(5) * Math.cos(toRad(75)); -const P5_3d_Z = Math.log2(5) * Math.sin(toRad(75)) * Math.cos(toRad(22.5)); -const P7_3d_X = Math.log2(7) * Math.sin(toRad(30)) * Math.sin(toRad(67.5)); -const P7_3d_Y = Math.log2(7) * Math.cos(toRad(30)); -const P7_3d_Z = Math.log2(7) * Math.sin(toRad(30)) * Math.cos(toRad(67.5)); -const P11_3d_X = Math.log2(11) * Math.sin(toRad(45)) * Math.sin(toRad(45)); -const P11_3d_Y = Math.log2(11) * Math.cos(toRad(45)); -const P11_3d_Z = Math.log2(11) * Math.sin(toRad(45)) * Math.cos(toRad(45)); +/** + * Unit vectors of all the primes, in the same order as {@linkcode LIST_OF_PRIMES}. + * + * Each element is a 3-element array `[x, y, z]`. + * + * @type {number[][]} + */ +const PRIME_UNIT_VECTORS = (() => { + let vecs = [ + [0, primeDistanceFunction(2), 0], // Octave should point upwards. + [primeDistanceFunction(3), 0, 0], // Fifths should point rightward + ]; + + for (let idx in PRIME_LOOKUP) { + if (idx == 0 || idx == 1) + continue; + + let prime = LIST_OF_PRIMES[idx]; + let i = idx - 1; // start from one multiple of the offset. + + let r = primeDistanceFunction(prime); + + let phi = (Math.PI - PHI_OFFSET * i) % Math.PI; + let theta = (THETA_OFFSET * i - 0.5 * Math.PI) % (Math.PI * 2); + + // spherical coords () + let x = r * Math.sin(phi) * Math.cos(theta); + let y = r * Math.cos(phi); + let z = r * Math.sin(phi) * Math.sin(theta); + + vecs.push([x, y, z]); + } + + return vecs; +})(); export class HarmonicCoordinates { - #p2; #p3; #p5; #p7; #p11; - - constructor(p2, p3, p5, p7, p11) { - // Note, if USE_OCTAVE_REDUCED_PRIMES is true, - // p3 represents powers of 3/2, - // p5 - 5/4, - // p7 - 7/4 - // p11 - 11/8 - this.#p2 = p2; - this.#p3 = p3; - this.#p5 = p5; - this.#p7 = p7; - this.#p11 = p11; + /** + * N-dimensional coords array. + * Each element is the power of a prime, starting from 2, then 3, etc... + * + * if {@linkcode USE_OCTAVE_REDUCED_PRIMES} is true, all non-octave primes are octave reduced. + * E.g., the second element corresponds to powers of (3/2) + * third element corresponds to powers of (5/4) etc... + * @type {number[]} + */ + #coords; + + /** + * Memoized ratio of this coordinate. Lazily evaluated when {@linkcode toRatio} is called. + * + * `[numerator, denominator]` + */ + #ratio = null; + + /** + * Memoized absolute power of 2. Lazily evaluated when {@linkcode p2absolute} is called, or initialized in + * constructor if {@linkcode USE_OCTAVE_REDUCED_PRIMES} is `false` making it trivial. + * + * @type {number} + */ + #p2absolute = null; + + /** + * @param {number[]} coords List of powers of primes starting from 2, 3, 5. If {@linkcode USE_OCTAVE_REDUCED_PRIMES} + * is `true`, make sure that the first element is the octave reduced power of 2, not the absolute one. + * + * @param {number} octOffset Pass the calculated octave offset induced by {@linkcode USE_OCTAVE_REDUCED_PRIMES}, + * so that we don't have to recalculate {@linkcode p2absolute}. + */ + constructor(coords, p2absolute = null) { + coords = coords.slice() || [0]; // copy to prevent mutation of original array (is this worth the performance hit?) + while (coords.length >= 1 && coords[coords.length - 1] == 0) { + // remove trailing zeroes, so that the array length of any two equal HarmonicCoordinates are equal. + coords.pop(); + } + if (coords.length != 0) { + this.#coords = Object.freeze(coords); + } + else { + this.#coords = Object.freeze([0]); + } + this.#p2absolute = p2absolute; + + if (!USE_OCTAVE_REDUCED_PRIMES) { + this.#p2absolute = this.#coords[0]; + } } /** - * Construct a new {@link HarmonicCoordinates} object from JSON. - * - * @param {{p2: number, p3: number, p5: number, p7: number, p11: number}} json + * Construct a new {@linkcode HarmonicCoordinates} object from JSON. + * + * @param {number[]} json Serialized {@linkcode HarmonicCoordinates} (coords array). */ static fromJSON(json) { - return new HarmonicCoordinates(json.p2, json.p3, json.p5, json.p7, json.p11); + return new HarmonicCoordinates(json); } + /** + * The serialized JSON object of a {@linkcode HarmonicCoordinates} object is just the {@linkcode coords} array. + * @returns {number[]} + */ toJSON() { - return { - p2: this.#p2, - p3: this.#p3, - p5: this.#p5, - p7: this.#p7, - p11: this.#p11 - }; + return this.#coords; + } + + get primeLimit() { + return LIST_OF_PRIMES[this.#coords.length - 1]; + } + + get coords() { + return this.#coords; + } + + /** + * Helper property for getting the power of the first prime (2, octaves). + */ + get p2() { + return this.#coords[0]; } - get p2() { return this.#p2; } + /** + * Helper property for getting power of the second prime (3, or 3/2 if {@linkcode USE_OCTAVE_REDUCED_PRIMES}) + */ + get p3() { + return this.#coords[1] ?? 0; + } /** - * The absolute power of the prime 2 in the interval assuming no octave reduced primes. - * Helpful for performing math calculations. + * Absolute power of 2. Will be equal to first element of {@linkcode coords} if {@linkcode USE_OCTAVE_REDUCED_PRIMES} + * is `false`. + * + * Otherwise, this value contains the absolute unreduced power of 2, as {@linkcode coords} assume octave reduced primes. + * + * E.g. when octave reduction is active, [0, 1] correspond to 3/2, so `p2absolute` will be `-1`. + * + * This value is lazily evaluated if {@linkcode USE_OCTAVE_REDUCED_PRIMES} is `true` and a precomputed `p2absolute` + * value was not passed in the constructor. */ get p2absolute() { - if (USE_OCTAVE_REDUCED_PRIMES) - return this.#p2 - (this.#p3 + 2 * this.#p5 + 2 * this.#p7 + 3 * this.#p11); - else - return this.#p2; + if (this.#p2absolute !== null) + return this.#p2absolute; + + this.#p2absolute = this.coords[0]; + + if (USE_OCTAVE_REDUCED_PRIMES) { + for (let i = 1; i < this.coords.length; i++) { + this.#p2absolute -= PRIME_OCTAVE_LOOKUP[LIST_OF_PRIMES[i]] * this.coords[i]; + } + } + + return this.#p2absolute; } - get p3() { return this.#p3; } - get p5() { return this.#p5; } - get p7() { return this.#p7; } - get p11() { return this.#p11; } + /** + * + * @param {HarmonicCoordinates} hc + * @returns {HarmonicCoordinates} + */ add(hc) { - return new HarmonicCoordinates( - this.p2 + hc.p2, - this.p3 + hc.p3, - this.p5 + hc.p5, - this.p7 + hc.p7, - this.p11 + hc.p11); + let newCoords = []; + let maxLength = Math.max(this.coords.length, hc.coords.length); + for (let i = 0; i < maxLength; i++) { + let x = 0; + if (i < this.coords.length) + x += this.coords[i]; + if (i < hc.coords.length) + x += hc.coords[i]; + newCoords.push(x); + } + return new HarmonicCoordinates(newCoords); } + /** + * + * @param {HarmonicCoordinates} hc + * @returns {HarmonicCoordinates} + */ subtract(hc) { - return new HarmonicCoordinates( - this.p2 - hc.p2, - this.p3 - hc.p3, - this.p5 - hc.p5, - this.p7 - hc.p7, - this.p11 - hc.p11); + let newCoords = []; + let maxLength = Math.max(this.coords.length, hc.coords.length); + for (let i = 0; i < maxLength; i++) { + let x = 0; + if (i < this.coords.length) + x += this.coords[i]; + if (i < hc.coords.length) + x -= hc.coords[i]; + newCoords.push(x); + } + return new HarmonicCoordinates(newCoords); + } + + /** + * Returns a new {@linkcode HarmonicCoordinates} with every coordinate element rounded to the nearest integer. + * + * Useful for quantizing an 'average' harmonic coordinate to a valid point in the lattice. + * + * @return {HarmonicCoordinates} + */ + round() { + return new HarmonicCoordinates(this.coords.map(x => Math.round(x))); } static fromRatio(numerator, denominator) { @@ -121,45 +276,55 @@ export class HarmonicCoordinates { } } - let p2 = 0, - p3 = 0, - p5 = 0, - p7 = 0, - p11 = 0; + let coords = []; + + // when octave reduced primes are used, compensate octave offset of each prime so that prime intervals are + // octave reduced: + // e.g. 3/2: [-1, 1] becomes [0, 1] + // 5/4: [-2, 0, 1] becomes [0, 0, 1] + let octOffset = 0; for (let prime in conjunction) { - if (prime == 2) - p2 = conjunction[prime]; - else if (prime == 3) - p3 = conjunction[prime]; - else if (prime == 5) - p5 = conjunction[prime]; - else if (prime == 7) - p7 = conjunction[prime]; - else if (prime == 11) - p11 = conjunction[prime]; - else - throw 'Intervals above 11-limit are not currently supported'; + let power = conjunction[prime]; + coords[PRIME_LOOKUP[prime]] = power; + + octOffset += PRIME_OCTAVE_LOOKUP[prime] * power; + } + + for (let i = 0; i < coords.length; i++) { + if (coords[i] === undefined) + coords[i] = 0; } - if (USE_OCTAVE_REDUCED_PRIMES) - p2 += p3 + p5 * 2 + p7 * 2 + p11 * 3; - return new HarmonicCoordinates(p2, p3, p5, p7, p11); + let p2abs = coords[0]; + if (USE_OCTAVE_REDUCED_PRIMES) { + coords[0] += octOffset; + } + + return new HarmonicCoordinates(coords, p2abs); } toRatio() { + if (this.#ratio !== null) + return this.#ratio; + let num = 1, den = 1; - let primes = [2, 3, 5, 7, 11]; - let powers = this.toArrayAbsolute(); - for (let i = 0; i <= 5; i++) { - if (powers[i] > 0) - num *= primes[i] ** powers[i]; - else if (powers[i] < 0) - den *= primes[i] ** (-powers[i]); + if (this.p2absolute > 0) { + num *= 2 ** this.p2absolute; + } else if (this.p2absolute < 0) { + den *= 2 ** (-this.p2absolute); } - return [num, den] + for (let i = 1; i < this.coords.length; i++) { + if (this.coords[i] > 0) + num *= LIST_OF_PRIMES[i] ** this.coords[i]; + else if (this.coords[i] < 0) + den *= LIST_OF_PRIMES[i] ** (-this.coords[i]); + } + + this.#ratio = [num, den]; + return this.#ratio; } toRatioString() { @@ -168,15 +333,32 @@ export class HarmonicCoordinates { } toUnscaledCoords() { + let coords = [0, 0, 0]; + for (let i = 0; i < this.coords.length; i++) { + coords = coords.map((x, j) => x + this.coords[i] * PRIME_UNIT_VECTORS[i][j]); + } return [ - DIST_SCALE_FACTOR_3D * (this.p2 * P2_3d_X + this.p3 * P3_3d_X + this.p5 * P5_3d_X + this.p7 * P7_3d_X + this.p11 * P11_3d_X), - DIST_SCALE_FACTOR_3D * (this.p2 * P2_3d_Y + this.p3 * P3_3d_Y + this.p5 * P5_3d_Y + this.p7 * P7_3d_Y + this.p11 * P11_3d_Y), - DIST_SCALE_FACTOR_3D * (this.p2 * P2_3d_Z + this.p3 * P3_3d_Z + this.p5 * P5_3d_Z + this.p7 * P7_3d_Z + this.p11 * P11_3d_Z), - ] + DIST_SCALE_FACTOR_3D * coords[0], + DIST_SCALE_FACTOR_3D * coords[1], + DIST_SCALE_FACTOR_3D * coords[2], + ]; } + /** + * Returns the frequency of this relative ratio, respective to the given `fundamental`. + * + * @param {number} fundamental Fundamental frequency of 1/1 + * @returns + */ toFrequency(fundamental) { - return fundamental * 2**this.p2absolute * 3**this.p3 * 5**this.p5 * 7**this.p7 * 11**this.p11; + this.coords.forEach((pow, idx) => { + if (pow != 0 && idx != 0) + fundamental *= LIST_OF_PRIMES[idx] ** pow + }); + + fundamental *= 2 ** this.p2absolute; + + return fundamental; } /** @@ -188,11 +370,15 @@ export class HarmonicCoordinates { } toString() { - return this.toArray().toString(); + return this.coords.toString(); } + /** + * DEPRECATED. Use {@linkcode coords} instead + * @returns + */ toArray() { - return [this.#p2, this.#p3, this.#p5, this.#p7, this.#p11]; + return this.coords; } /** @@ -200,7 +386,7 @@ export class HarmonicCoordinates { * Helpful for calculations. */ toArrayAbsolute() { - return [this.p2absolute, this.#p3, this.#p5, this.#p7, this.#p11] + return [this.p2absolute, ...this.coords.slice(1)]; } /** @@ -213,33 +399,26 @@ export class HarmonicCoordinates { */ checkAdjacent(hc) { let diff = hc.subtract(this); - let diffArr = diff.toArray(); + let diffArr = diff.coords; if (diffArr.some(x => Math.abs(x) > 1)) return 0; - let numOnes = 0; let prime = 0; for (let i = 0; i < diffArr.length; i++) { let x = diffArr[i]; if (x === 1 || x === -1) { - numOnes++; - if (i === 0) - prime = 2; - else if (i === 1) - prime = 3; - else if (i === 2) - prime = 5; - else if (i === 3) - prime = 7; - else if (i === 4) - prime = 11; + + if (prime !== 0) + return 0; // only allow one prime to be different. + + prime = LIST_OF_PRIMES[i]; prime *= x; // invert number if negative. } } - if (numOnes === 1) + if (prime !== 0) return prime; else return 0; @@ -255,12 +434,17 @@ export class HarmonicCoordinates { } harmonicDistanceFromOrigin() { - return Math.abs(this.p2) * Math.log2(2) + Math.abs(this.p3) * Math.log2(3) + - Math.abs(this.p5) * Math.log2(5) + Math.abs(this.p7) * Math.log2(7) + Math.abs(this.p11) * Math.log2(11); + let hDist = 0; + this.coords.forEach((pow, idx) => hDist += Math.abs(pow) * Math.log2(LIST_OF_PRIMES[idx])); + return hDist; + } equals(hc) { - return this.p2 === hc.p2 && this.p3 === hc.p3 && this.p5 === hc.p5 && this.p7 === hc.p7 && this.p11 === hc.p11; + if (this.coords.length != hc.coords.length) + return false; + + return this.coords.every((x, i) => x == hc.coords[i]); } } @@ -288,99 +472,99 @@ const RATIOS31 = { [36, 35] ]), 2: arrayOfHarmonicCoordinates([ - [25,24], [21,20], [22,21] + [25, 24], [21, 20], [22, 21] ]), 3: arrayOfHarmonicCoordinates([ - [16,15] //, [15,14] + [16, 15] //, [15,14] ]), 4: arrayOfHarmonicCoordinates([ [12, 11], [11, 10]//, [35, 32] ]), // re 5: arrayOfHarmonicCoordinates([ - [9,8], [10,9]//, [28,25] + [9, 8], [10, 9]//, [28,25] ]), 6: arrayOfHarmonicCoordinates([ - [8,7]//, [144,125] + [8, 7]//, [144,125] ]), 7: arrayOfHarmonicCoordinates([ - [7,6]//, [75,64] + [7, 6]//, [75,64] ]), 8: arrayOfHarmonicCoordinates([ - [6,5]//, [25,21] + [6, 5]//, [25,21] ]), 9: arrayOfHarmonicCoordinates([ - [11,9]//, [27,22], [60, 49], [49, 40] + [11, 9]//, [27,22], [60, 49], [49, 40] ]), // mi 10: arrayOfHarmonicCoordinates([ - [5,4] + [5, 4] ]), 11: arrayOfHarmonicCoordinates([ - [9,7], [14,11], [32,25] + [9, 7], [14, 11], [32, 25] ]), 12: arrayOfHarmonicCoordinates([ - [21,16]//, [125,96] + [21, 16]//, [125,96] ]), // fa 13: arrayOfHarmonicCoordinates([ - [4,3] + [4, 3] ]), 14: arrayOfHarmonicCoordinates([ - [11,8], [15,11] + [11, 8], [15, 11] ]), 15: arrayOfHarmonicCoordinates([ - [7,5], [45,32], [25,18] + [7, 5], [45, 32], [25, 18] ]), 16: arrayOfHarmonicCoordinates([ - [10,7], [64,45], [36,25] + [10, 7], [64, 45], [36, 25] ]), 17: arrayOfHarmonicCoordinates([ - [16,11]//, [22,15] + [16, 11]//, [22,15] ]), // so 18: arrayOfHarmonicCoordinates([ - [3,2] + [3, 2] ]), 19: arrayOfHarmonicCoordinates([ - [32,21]//, [192,125] + [32, 21]//, [192,125] ]), 20: arrayOfHarmonicCoordinates([ - [14,9], [11,7], [25,16] + [14, 9], [11, 7], [25, 16] ]), 21: arrayOfHarmonicCoordinates([ - [8,5] + [8, 5] ]), 22: arrayOfHarmonicCoordinates([ [18, 11], [44, 27]//, [49,30], [80,49] ]), // la 23: arrayOfHarmonicCoordinates([ - [5,3]//, [42,25] + [5, 3]//, [42,25] ]), 24: arrayOfHarmonicCoordinates([ - [12,7]//, [128,75] + [12, 7]//, [128,75] ]), 25: arrayOfHarmonicCoordinates([ - [7,4]//, [125,72] + [7, 4]//, [125,72] ]), 26: arrayOfHarmonicCoordinates([ - [16,9], [9,5]//, [25,14] + [16, 9], [9, 5]//, [25,14] ]), 27: arrayOfHarmonicCoordinates([ - [11,6]//, [20,11], [64,35] + [11, 6]//, [20,11], [64,35] ]), // ti 28: arrayOfHarmonicCoordinates([ - [15,8] + [15, 8] ]), 29: arrayOfHarmonicCoordinates([ - [48,25], [40,21], [21,11] + [48, 25], [40, 21], [21, 11] ]), 30: arrayOfHarmonicCoordinates([ - [88,45], [96,49], + [88, 45], [96, 49], //[125,64], - [35,18] + [35, 18] ]) }; @@ -426,7 +610,7 @@ const RATIOS22 = { [7, 5], [10, 7], [45, 32] ]), 12: arrayOfHarmonicCoordinates([ - [16,11], [22,15] + [16, 11], [22, 15] ]), // So 13: arrayOfHarmonicCoordinates([ @@ -462,9 +646,9 @@ const RATIOS22 = { /** * Convert edosteps into a list of plausible HarmonicCoordinates. - * - * @param {Number} edosteps - * @returns An array of `HarmonicCoordinates` representing possible coordinates this edostep maps to. + * + * @param {Number} edosteps + * @returns {HarmonicCoordinates[]} An array of {@linkcode HarmonicCoordinates} representing possible coordinates this edostep maps to. */ export function convertStepsToPossibleCoord(steps) { let octaves = math.floor(steps / EDO); @@ -472,21 +656,20 @@ export function convertStepsToPossibleCoord(steps) { // the .add function causes this function to return an entirely new copy of HarmonicCoordinates // objects so it is now ok to modify the returned coordinates from this function. if (EDO == 31) - return RATIOS31[edosteps].map(x => x.add(new HarmonicCoordinates(octaves, 0, 0, 0, 0))); + return RATIOS31[edosteps].map(x => x.add(new HarmonicCoordinates([octaves]))); else if (EDO == 22) - return RATIOS22[edosteps].map(x => x.add(new HarmonicCoordinates(octaves, 0, 0, 0, 0))); + return RATIOS22[edosteps].map(x => x.add(new HarmonicCoordinates([octaves]))); else alert("EDO not supported"); - } /** * A key-value-pair mapping edosteps to number of fifths spanned. - * + * * This only works for edos where the fifth is a generator for the whole tuning. - * + * * E.g. in 24 it won't work because there are 2 disjoint circles of fifths... - * + * * This should be used for COSMETIC purposes only (like setting color hue based on fifths) */ export const EDOSTEPS_TO_FIFTHS_MAP = (() => { @@ -494,10 +677,10 @@ export const EDOSTEPS_TO_FIFTHS_MAP = (() => { let d = 0; // Number of edosteps for the best P5 approximation. // Assumes patent val/common 'default' 3-limit map. - let fifthsize = Math.round(EDO * Math.log2(3/2)); + let fifthsize = Math.round(EDO * Math.log2(3 / 2)); for (let fifths = 0; fifths < EDO; fifths++) { x[d] = fifths; d = (d + fifthsize) % EDO; } return x; -})(); \ No newline at end of file +})(); diff --git a/main.js b/main.js index a3f2a36..d85107a 100644 --- a/main.js +++ b/main.js @@ -2,7 +2,7 @@ import * as THREE from 'three'; import { HarmonicContext } from './harmonic-context.js'; import * as NoteTracking from './note-tracking.js'; import { BallsManager, Camera, KeyCenterParticleFountain, ScaffoldingManager } from './drawn-objects.js'; -import { HELD_NOTE_HAPPENINGNESS, MAX_SHORT_TERM_MEMORY, SCULPTURE_MODE, SCULPTURE_PX_DENSITY, SUSTAINED_NOTE_HAPPENINGNESS, VERSION, addHappeningness } from './configs.js'; +import { HARMONIC_CONTEXT_METHOD, HELD_NOTE_HAPPENINGNESS, MAX_SHORT_TERM_MEMORY, SCULPTURE_MODE, SCULPTURE_PX_DENSITY, SUSTAINED_NOTE_HAPPENINGNESS, VERSION, addHappeningness } from './configs.js'; import { RoomEnvironment } from 'three/addons/environments/RoomEnvironment.js'; import { DebugEnvironment } from 'three/addons/environments/DebugEnvironment.js'; import { EffectComposer } from 'three/addons/postprocessing/EffectComposer.js'; @@ -32,7 +32,7 @@ window.fountain = particleFountain; window.cam = cameraObject; -const renderer = new THREE.WebGLRenderer({ +const renderer = new THREE.WebGLRenderer({ antialias: true, powerPreference: 'high-performance', }); @@ -55,8 +55,8 @@ const renderPass = new RenderPass(scene, cameraObject.camera); composer.addPass(renderPass); const ssrPass = new SSRPass({ - renderer, - scene, + renderer, + scene, camera: cameraObject.camera, width: window.innerWidth, height: window.innerHeight @@ -78,28 +78,61 @@ const bloomPass = new UnrealBloomPass(new THREE.Vector2(window.innerWidth, windo composer.addPass(bloomPass); socket.onmessage = (e) => { - // only start reading socket messages when window.essentia is defined + // only start reading socket messages when WASM is loaded if (LOADED) { - let [type, data1, data2] = e.data.split(':'); + // rest will contian exact harmonic coordinate data for 12ji harmonic context mode. + /** + * @type {string[]} + */ + let [type, data1, data2, ...rest] = e.data.split(':'); data1 = parseInt(data1); data2 = parseInt(data2); - if (type === 'on') - NoteTracking.noteOn(data1, data2, harmonicContext, ballManager, scaffoldingManager); - else if (type === 'off') + if (type === 'on') { + if (data2 === 0) { + // a note on with 0 velocity should be handled as a note off. + NoteTracking.noteOff(data1, data2); + return; + } + let monData = null; + if (HARMONIC_CONTEXT_METHOD === '12ji') { + // Empty string: 1/1 (no prime decomposition) + if (rest.length === 1 && rest[0].length === 0) { + monData = [0]; + } else { + monData = rest.map(x => { + /** @type {number} */ + let int = parseInt(x); + if (isNaN(int)) throw new Error(`Invalid monzo data: ${rest}`); + return int; + }); + } + } + NoteTracking.noteOn(data1, data2, + harmonicContext, ballManager, scaffoldingManager, monData); + } else if (type === 'off') { NoteTracking.noteOff(data1, data2); - else if (type === 'cc') + } else if (type === 'cc') { NoteTracking.cc(data1, data2); + + if (data1 === 123) { + // all notes off reserved cc message. + offAll(); + } + } } } -function testOn(stepsFromA) { - NoteTracking.noteOn(stepsFromA, 127, harmonicContext, ballManager, scaffoldingManager); +function testOn(stepsFromA, coords = null) { + NoteTracking.noteOn(stepsFromA, 127, harmonicContext, ballManager, scaffoldingManager, coords); } function testOff(stepsFromA) { NoteTracking.noteOff(stepsFromA, 127); } +window.testOn = testOn; +window.testOff = testOff; + socket.onopen = (e) => { console.log('web socket connected'); } @@ -160,13 +193,13 @@ function animate() { let [held, sustained] = NoteTracking.countExistingKeysState(); addHappeningness(deltaTime / 4000 * (held * HELD_NOTE_HAPPENINGNESS + sustained * SUSTAINED_NOTE_HAPPENINGNESS)); HAPPENINGNESS = Math.max(0, HAPPENINGNESS - Math.pow(HAPPENINGNESS, 1.5) * deltaTime / 1500); - + harmonicContext.tick(); ballManager.tick(NoteTracking.KEYS_STATE, harmonicContext); particleFountain.tick(harmonicContext); scaffoldingManager.tick(); cameraObject.tick(ballManager.stdDeviation); - + // Update shader settings renderer.toneMappingExposure = 1.1 + HAPPENINGNESS * 0.3; bloomPass.threshold = 0; @@ -175,7 +208,7 @@ function animate() { blurPass.uniforms['maxblur'].value = 0.2 * Math.pow(HAPPENINGNESS, 4); composer.render(); - document.getElementById('text').innerText = + document.getElementById('text').innerText = ` ${VERSION} ${(1000/deltaTime).toFixed(0)} fps center: ${cameraObject.center.x.toFixed(1)}, ${cameraObject.center.y.toFixed(1)}, ${cameraObject.center.z.toFixed(1)}, rot: ${cameraObject.theta.toFixed(2)}, ${cameraObject.phi.toFixed(2)}, dist: ${cameraObject.dist.toFixed(0)} @@ -184,10 +217,11 @@ function animate() { stm: ${harmonicContext.shortTermMemory.length} / ${MAX_SHORT_TERM_MEMORY}, dis: ${harmonicContext.dissonance.toFixed(1)} ${harmonicContext.effectiveOrigin.toMonzoString()} + harmctx: ${HARMONIC_CONTEXT_METHOD} ${harmonicContext.toVeryNiceDisplayString()} `.trim(); } - + } animate(); @@ -211,4 +245,19 @@ function stopRandom() { } window.startRandom = startRandom; -window.stopRandom = stopRandom; \ No newline at end of file +window.stopRandom = stopRandom; + +/** + * Test the first N axes/prime intervals. + * @param {number} N + */ +function testAxes(N) { + let arr = [1]; + testOn(0, [0]); + for (let i = 1; i < N; i++) { + testOn(i, arr); + arr.unshift(0); + } +} + +window.testAxes = testAxes; diff --git a/note-tracking.js b/note-tracking.js index f3e8ef7..1bc6afa 100644 --- a/note-tracking.js +++ b/note-tracking.js @@ -7,8 +7,8 @@ import { HarmonicCoordinates } from "./just-intonation.js"; import { IS_RECORDING, RECORDED_NOTES, RecNote } from "./recording.js"; /** - * KVP of [stepsFromA, {@link KeyState}] - * + * KVP of [stepsFromA, {@linkcode KeyState}] + * * @type {Object.} */ export let KEYS_STATE = {}; @@ -39,7 +39,7 @@ export function countExistingKeysState() { /** * Stores the epoch time (ms) of the first note of the recording. - * + * * @type {number} */ let recStartTime = 0; @@ -51,8 +51,10 @@ let recStartTime = 0; * @param {HarmonicContext} harmonicContext * @param {BallsManager} ballManager * @param {ScaffoldingManager} scaffoldingManager + * @param {number[]?} explicitCoords When {@linkcode HARMONIC_CONTEXT_METHOD} is `12ji`, this array is used as the + * explicit JI coordinates for the new ball. This should be `null`/unspecified if not in `12ji` mode. */ -export function noteOn(stepsFromA, vel, harmonicContext, ballManager, scaffoldingManager) { +export function noteOn(stepsFromA, vel, harmonicContext, ballManager, scaffoldingManager, explicitCoords = null) { // console.log('received note on: ', stepsFromA, vel); addHappeningness(NOTE_ON_HAPPENINGNESS * Math.pow(vel/127, 1.5) + 0.002); if (clearHarmonicContextTimeoutID !== null) { @@ -61,7 +63,7 @@ export function noteOn(stepsFromA, vel, harmonicContext, ballManager, scaffoldin } KEYS_STATE[stepsFromA] = new KeyState(stepsFromA, vel); - let [fromPitch, relativeRatio] = harmonicContext.registerNote(stepsFromA); + let [fromPitch, relativeRatio] = harmonicContext.registerNote(stepsFromA, explicitCoords); if (fromPitch === null) { // the harmonic context is fresh. ballManager.noteOn(relativeRatio, stepsFromA, vel); @@ -86,7 +88,7 @@ export function noteOn(stepsFromA, vel, harmonicContext, ballManager, scaffoldin } } -export function startKeyCenterResetTimer() { +export function startOriginResetTimer() { if (Object.keys(KEYS_STATE).length === 0 && clearHarmonicContextTimeoutID === null) { clearHarmonicContextTimeoutID = setTimeout(() => { harmonicContext.reset(); @@ -103,13 +105,26 @@ export function noteOff(stepsFromA, vel) { delete KEYS_STATE[stepsFromA]; } - startKeyCenterResetTimer(); + startOriginResetTimer(); +} + +export function offAll() { + if (clearHarmonicContextTimeoutID !== null) { + clearTimeout(clearHarmonicContextTimeoutID); + clearHarmonicContextTimeoutID = null; + } + KEYS_STATE = {}; + harmonicContext.reset(); } +window.offAll = offAll; + export function cc(cc, value) { // console.log('received cc: ', cc, value); if (cc === 64) { - SUSTAIN_STATE = value >= 64; + // for expensive sustain pedals, sustain ranges from 0 to 127 (half pedalling is a thing) + // make sure that the threshold below is appropriate. + SUSTAIN_STATE = value >= 70; if (!SUSTAIN_STATE) { let sustainedNotes = Object.entries(KEYS_STATE).filter( ([_,keyState]) => keyState.fromSustainPedal @@ -118,7 +133,7 @@ export function cc(cc, value) { for (let x of sustainedNotes) { delete KEYS_STATE[x]; } - startKeyCenterResetTimer(); + startOriginResetTimer(); } } -} \ No newline at end of file +} diff --git a/recording.json b/recording.json index 2a9b4ec..24296a5 100644 --- a/recording.json +++ b/recording.json @@ -1 +1,56223 @@ 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+ "timeOn": 436572, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 436736, + "stepsFromA": -36, + "harmCoords": [ + 0, + -1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 436834, + "stepsFromA": 3, + "harmCoords": [ + 2, + 0, + 0, + 0, + 1 + ] + }, + { + "timeOn": 437037, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 437269, + "stepsFromA": 3, + "harmCoords": [ + 2, + 0, + 0, + 0, + 1 + ] + }, + { + "timeOn": 437447, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 437670, + "stepsFromA": 3, + "harmCoords": [ + 2, + 0, + 0, + 0, + 1 + ] + }, + { + "timeOn": 437900, + "stepsFromA": -1, + "harmCoords": [ + 1, + 0, + 0, + 1, + 1 + ] + }, + { + "timeOn": 438070, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 438319, + "stepsFromA": 3, + "harmCoords": [ + 2, + 0, + 0, + 0, + 1 + ] + }, + { + "timeOn": 438515, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 438734, + "stepsFromA": 3, + "harmCoords": [ + 2, + 0, + 0, + 0, + 1 + ] + }, + { + "timeOn": 438943, + "stepsFromA": -36, + "harmCoords": [ + 0, + -1, + 0, + 1, + 1 + ] + }, + { + "timeOn": 438943, + "stepsFromA": 12, + "harmCoords": [ + 1, + 1, + 0, + 1, + 1 + ] + } +] diff --git a/sculpture.js b/sculpture.js index 16de782..de1f129 100644 --- a/sculpture.js +++ b/sculpture.js @@ -20,24 +20,24 @@ export class SculptureBall { #mesh; /** * The time (in ms) when this note was activated. - * + * * @type {number} */ timeOn; /** - * A number from 0 - 1 representing how near the start/end of the sculpture (in time dimension) + * A number from 0 - 1 representing how near the start/end of the sculpture (in time dimension) * this ball is. - * + * * Stores the memoized value of `timeOn / lastBallTimeOn`. - * + * * @type {number} */ timePosition; /** * The color of this ball. - * + * * @type {THREE.Color} */ color; @@ -51,10 +51,10 @@ export class SculptureBall { } /** - * - * @param {number} timeOn - * @param {number} stepsFromA - * @param {HarmonicCoordinates} harmCoords + * + * @param {number} timeOn + * @param {number} stepsFromA + * @param {HarmonicCoordinates} harmCoords */ constructor(timeOn, stepsFromA, harmCoords) { this.timeOn = timeOn; @@ -78,7 +78,7 @@ export class SculptureBall { /** * Update the sculpture ball. - * + * * @param {number} progress a number from 0-1 representing the animation cycle progress. * @param {number} lastBallTimeOn the timeOn (ms) of the last ball in the sculpture. */ @@ -89,7 +89,7 @@ export class SculptureBall { */ let intensity = Math.cos(2 * Math.PI * (progress - this.timePosition)) / 2 + 0.5; this.#material.color.setHSL( - this.hue, + this.hue, 0.6 + 0.4 * Math.pow(intensity, 20), 0.1 + 0.3 * Math.pow(intensity, 20)); this.#material.opacity = 0.03 + 0.4 * Math.pow(intensity, 30); @@ -98,13 +98,13 @@ export class SculptureBall { /** * A Sculpture of the entire recorded lattice. - * + * * An animated fast-forwarded zoomed out 'traversal' of the harmonic space traversed. */ export class Sculpture { /** * List of balls - * + * * @type {SculptureBall[]} */ balls = []; @@ -116,18 +116,18 @@ export class Sculpture { /** * the center of the sculpture. - * + * * @type {THREE.Vector3} */ centroid = new THREE.Vector3(); /** * Create a sculpture from a recording. - * + * * Use `window.beginRecording()` and `window.endRecording()` in the console to record a piece * copy the JSON data from the console and put it into `./recording.json`. - * - * @param {[{timeOn: number, stepsFromA: number, harmCoords: {p2: number, p3: number, p5: number, p7: number, p11: number}}]} recording The JSON data of the recorded piece. + * + * @param {[{timeOn: number, stepsFromA: number, harmCoords: number[]}]} recording The JSON data of the recorded piece. */ constructor(recording) { for (let {timeOn, stepsFromA, harmCoords} of recording) { @@ -151,4 +151,4 @@ export class Sculpture { } avgTimePos /= this.balls.length; } -} \ No newline at end of file +} From 41369c0a38057f051ed2c930156147cc9b9f38e7 Mon Sep 17 00:00:00 2001 From: euwbah Date: Mon, 18 Dec 2023 05:07:07 +0800 Subject: [PATCH 2/4] make cam dist exponential with std dev --- configs.js | 7 ++++--- drawn-objects.js | 4 ++-- 2 files changed, 6 insertions(+), 5 deletions(-) diff --git a/configs.js b/configs.js index a49f8c5..d130b2c 100644 --- a/configs.js +++ b/configs.js @@ -264,10 +264,11 @@ export const CAM_SPEED_HAPPENINGNESS = 3.8; export const CAM_ROT_SPEED = 1.5; export const MAX_CAM_ROT_SPEED = 1.57; export const CAM_ROT_ACCEL = 0.01; -export const MIN_CAM_DIST = 30; -export const MAX_CAM_DIST = 420; +export const MIN_CAM_DIST = 80; +export const MAX_CAM_DIST = 500; export const CAM_DIST_HAPPENINGNESS = 110; -export const DIST_STD_DEV_RATIO = 7.0; // Each unit std dev will yield add this much cam distance +export const DIST_STD_DEV_RATIO = 0.116; // Affects standard deviation exponential multiplier +export const DIST_STD_DEV_CONST = 0.5; // Constant added to std dev inside exponential multiplier export const DIST_CHANGE_SPEED = 0.4; /**== diff --git a/drawn-objects.js b/drawn-objects.js index ffda543..026e0b2 100644 --- a/drawn-objects.js +++ b/drawn-objects.js @@ -1,5 +1,5 @@ import { Text } from "troika-three-text"; -import { BALL_SIZE, BALL_SUSTAIN_SCALE_FACTOR, CAM_ROT_ACCEL, CAM_ROT_SPEED, CAM_SPEED, CAM_SPEED_HAPPENINGNESS, DIST_CHANGE_SPEED, DIST_STD_DEV_RATIO, EDO, FIFTHS_COLOR, HARMONIC_CENTER_SPEED, HARMONIC_CENTER_SPEED_HAPPENINGNESS, HARMONIC_CENTROID_SIZE, JITTER_HAPPENINGNESS, JI_COLORS, LINE_THICKNESS, MAX_BALLS, MAX_CAM_DIST, MAX_CAM_ROT_SPEED, MAX_FIFTH_HUE, MIN_CAM_DIST, MIN_FIFTH_HUE, NON_CHORD_TONE_SAT_EFFECT, OCTAVES_COLOR, ORIGIN_SIZE, SCULPTURE_CAM_DIST, SCULPTURE_CAM_PHI_CYCLES, SCULPTURE_CAM_THETA_CYCLES, SCULPTURE_CYCLE_DURATION, SCULPTURE_MODE, SEPTIMAL_COLOR, SHOW_DEBUG_BALLS, TEXT_SIZE, TEXT_TYPE, THIRDS_COLOR, UNDECIMAL_COLOR } from "./configs.js"; +import { BALL_SIZE, BALL_SUSTAIN_SCALE_FACTOR, CAM_ROT_ACCEL, CAM_ROT_SPEED, CAM_SPEED, CAM_SPEED_HAPPENINGNESS, DIST_CHANGE_SPEED, DIST_STD_DEV_CONST, DIST_STD_DEV_RATIO, EDO, FIFTHS_COLOR, HARMONIC_CENTER_SPEED, HARMONIC_CENTER_SPEED_HAPPENINGNESS, HARMONIC_CENTROID_SIZE, JITTER_HAPPENINGNESS, JI_COLORS, LINE_THICKNESS, MAX_BALLS, MAX_CAM_DIST, MAX_CAM_ROT_SPEED, MAX_FIFTH_HUE, MIN_CAM_DIST, MIN_FIFTH_HUE, NON_CHORD_TONE_SAT_EFFECT, OCTAVES_COLOR, ORIGIN_SIZE, SCULPTURE_CAM_DIST, SCULPTURE_CAM_PHI_CYCLES, SCULPTURE_CAM_THETA_CYCLES, SCULPTURE_CYCLE_DURATION, SCULPTURE_MODE, SEPTIMAL_COLOR, SHOW_DEBUG_BALLS, TEXT_SIZE, TEXT_TYPE, THIRDS_COLOR, UNDECIMAL_COLOR } from "./configs.js"; import { HarmonicContext } from "./harmonic-context.js"; import { EDOSTEPS_TO_FIFTHS_MAP, HarmonicCoordinates } from "./just-intonation.js"; import * as THREE from "three"; @@ -123,7 +123,7 @@ export class Camera { this.center.y += (this.targetCenter.y - this.center.y) * dt / 1000 * (1 + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS) * CAM_SPEED; this.center.z += (this.targetCenter.z - this.center.z) * dt / 1000 * (1 + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS) * CAM_SPEED; - this.distTarget = MIN_CAM_DIST + stdDeviation * DIST_STD_DEV_RATIO + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS; + this.distTarget = MIN_CAM_DIST + Math.exp(stdDeviation * DIST_STD_DEV_RATIO + DIST_STD_DEV_CONST) + HAPPENINGNESS * CAM_SPEED_HAPPENINGNESS; this.distTarget = Math.max(MIN_CAM_DIST, Math.min(MAX_CAM_DIST, this.distTarget)); this.dist += (this.distTarget - this.dist) * dt / 1000 * DIST_CHANGE_SPEED; } From aa6d4b63ae772cca0949ccfba54a1a6dc6d79186 Mon Sep 17 00:00:00 2001 From: euwbah Date: Tue, 19 Dec 2023 16:22:59 +0800 Subject: [PATCH 3/4] preparing to record video --- configs.js | 12 ++++++------ just-intonation.js | 5 +++-- main.js | 2 ++ 3 files changed, 11 insertions(+), 8 deletions(-) diff --git a/configs.js b/configs.js index d130b2c..b000390 100644 --- a/configs.js +++ b/configs.js @@ -116,7 +116,7 @@ export const JI_COLORS = (() => { */ export const HARMONIC_CONTEXT_METHOD = '12ji'; -export const MAX_SHORT_TERM_MEMORY = 9; +export const MAX_SHORT_TERM_MEMORY = 7; export const MAX_DISSONANCE = 23; /** @@ -265,10 +265,10 @@ export const CAM_ROT_SPEED = 1.5; export const MAX_CAM_ROT_SPEED = 1.57; export const CAM_ROT_ACCEL = 0.01; export const MIN_CAM_DIST = 80; -export const MAX_CAM_DIST = 500; +export const MAX_CAM_DIST = 400; export const CAM_DIST_HAPPENINGNESS = 110; -export const DIST_STD_DEV_RATIO = 0.116; // Affects standard deviation exponential multiplier -export const DIST_STD_DEV_CONST = 0.5; // Constant added to std dev inside exponential multiplier +export const DIST_STD_DEV_RATIO = 0.11; // Affects standard deviation exponential multiplier +export const DIST_STD_DEV_CONST = 1.0; // Constant added to std dev inside exponential multiplier export const DIST_CHANGE_SPEED = 0.4; /**== @@ -300,8 +300,8 @@ export const LINE_THICKNESS = 1; Happeningness diminishes with time and increases with notes. */ window.HAPPENINGNESS = 0; -export const NOTE_ON_HAPPENINGNESS = 0.1; -export const HELD_NOTE_HAPPENINGNESS = 0.04; +export const NOTE_ON_HAPPENINGNESS = 0.08; +export const HELD_NOTE_HAPPENINGNESS = 0.03; export const SUSTAINED_NOTE_HAPPENINGNESS = 0.01; export function addHappeningness(amt) { diff --git a/just-intonation.js b/just-intonation.js index 39dc9bf..3c321a9 100644 --- a/just-intonation.js +++ b/just-intonation.js @@ -70,8 +70,9 @@ function primeDistanceFunction(prime) { */ const PRIME_UNIT_VECTORS = (() => { let vecs = [ - [0, primeDistanceFunction(2), 0], // Octave should point upwards. - [primeDistanceFunction(3), 0, 0], // Fifths should point rightward + // Swap these two when playing many octaves so that octaves can fit on the screen. + [0, primeDistanceFunction(2), 0], // Octave should point upward. + [primeDistanceFunction(3), 0, 0], // Fifths should point right. ]; for (let idx in PRIME_LOOKUP) { diff --git a/main.js b/main.js index d85107a..4d9ab1d 100644 --- a/main.js +++ b/main.js @@ -82,6 +82,7 @@ socket.onmessage = (e) => { if (LOADED) { // rest will contian exact harmonic coordinate data for 12ji harmonic context mode. /** + * * @type {string[]} */ let [type, data1, data2, ...rest] = e.data.split(':'); @@ -107,6 +108,7 @@ socket.onmessage = (e) => { }); } } + // console.log(monData); NoteTracking.noteOn(data1, data2, harmonicContext, ballManager, scaffoldingManager, monData); } else if (type === 'off') { From a8a83065ba5de5da170fa88e127c85fcec1b3ab3 Mon Sep 17 00:00:00 2001 From: euwbah Date: Wed, 20 Dec 2023 17:21:32 +0800 Subject: [PATCH 4/4] update readme for compat with ji-performer --- README.md | 111 +++++++++++++++++++++--------------------------------- 1 file changed, 42 insertions(+), 69 deletions(-) diff --git a/README.md b/README.md index d460430..cfed550 100644 --- a/README.md +++ b/README.md @@ -4,27 +4,36 @@ ## How to use -Works right out of the box with https://github.com/euwbah/microtonal-seaboard. -Simply run the microtonal-seaboard application, then open https://euwbah.github.io/n-edo-lattice-visualiser/. +Intended for use with https://github.com/euwbah/microtonal-seaboard and https://github.com/euwbah/ji-performer/. +### Set up & [config file](./configs.js) + +All the config variables start with `export const` in [`configs.js`](./configs.js). + +When running with [microtonal-seaboard](https://github.com/euwbah/microtonal-seaboard) in 22edo/31edo mode: +- `EDO`: set to 22 or 31 +- `HARMONIC_CONTEXT_METHOD`: set to `'cb'`, `'l2'`, or `'l2eo'` +- `SCULPTURE_MODE`: set to `false` + +When running with [ji-performer](https://github.com/euwbah/ji-performer/): +- `EDO`: set to 12 +- `HARMONIC_CONTEXT_METHOD`: set to `'12ji'` +- `SCULPTURE_MODE`: set to `false` + +Remember to run the server first (microtonal-seaboard, ji-performer) before loading the visualizer. If nothing shows up, try refreshing, and check the browser developer console (F12, Ctrl+Shift+J) for errors. + +There's a lot more configuration options pertaining to the harmonic context modelling (coefficients for heuristically simulating short term memory and perception of pitches), graphics (camera angles, zoom, speed, colors, shaders), and text appearance (display absolute ratios/relative ratios/monzos, use octave reduced prime intervals). They're (mostly) documented in JSDoc format. ## What is happening? +> This section is a bit outdated, it was written and still holds true for 31edo in `cb` harmonic context mode. + Each ball represents a note that is currently active or sustained by pedal (MIDI CC64). -The hue of the ball is based on its note's position in the circle of fifths, -with dark orange being the note A, and the remaining notes given a hue by mapping -the color wheel to the circle of 31 fifths. +The hue of the ball is based on its note's position in the circle of fifths, with dark orange being the note A, and the remaining notes given a hue by mapping the color wheel to the circle of 31 fifths. -The notes are positioned using a 5-dimensional coordinate system. The coordinates are a representation of the frequency ratios between notes. This is -of the notion that sound can be fundamentally broken down into frequencies, and -the ratios between frequencies is what we perceive as intervals. [Go to the xenwiki -to explore this in detail](https://en.xen.wiki/w/Just_intonation). +The notes are positioned using a 5-dimensional coordinate system. The coordinates are a representation of the frequency ratios between notes. This is of the notion that sound can be fundamentally broken down into frequencies, and the ratios between frequencies is what we perceive as intervals. [Go to the xenwiki to explore this in detail](https://en.xen.wiki/w/Just_intonation). -The coordinate system is a slightly modified version of [Monzo notation](https://en.xen.wiki/w/Monzo). -In this visualizer, the 5 axes: represent powers of the unit intervals -2/1, 3/2, 5/4, 7/4, and 11/8 respectively. (Note that standard Monzo vectors -represent powers of the numbers 2, 3, 5, 7, 11, etc... instead of the octave-reduced -intervals which were used to make the visualization less cluttered). +The coordinate system is a slightly modified version of [Monzo notation](https://en.xen.wiki/w/Monzo). In this visualizer, the 5 axes: represent powers of the unit intervals 2/1, 3/2, 5/4, 7/4, and 11/8 respectively. (Note that standard Monzo vectors represent powers of the numbers 2, 3, 5, 7, 11, etc... instead of the octave-reduced intervals which were used to make the visualization less cluttered). | Coordinates | Frequency ratio | Interval | Dieses (steps of 31 edo) | | :---: | :--- | :--- | :--- | @@ -34,37 +43,20 @@ intervals which were used to make the visualization less cluttered). | `[0 0 0 1 0>` | 7/4 | Septimal Subminor Seventh | 25 | | `[0 0 0 0 1>` | 11/8 | Undecimal super-fourth | 14 | -Any 11-prime-limit interval (i.e. its frequency ratio doesn't factorize with primes higher than 11) can be deconstructed into repeated multiplications or divisions of -the above primary intervals. Going a positive step in any one axis represents -multiplying the frequency by the associated primary interval, and going a -negative step in any one axis represents division of the associated frequency ratio. - -For example, the frequency interval of a major second is 9/8, which can be broken down into -primary ratios as -3/2 × 3/2 ÷ 2. Referring to the table, that equates to going up two perfect fifths -and down one octave, which is indeed a (Pythagorean) major second. Also referring to the table, -we get the coordinate vectors `[0 1 0 0 0>` representing 3/2 and `[1 0 0 0 0>` -representing 2/1. This means we can represent 9/8 as `2 × [0 1 0 0 0> - [1 0 0 0 0>` -which gives us the final coordinate of `[-1 2 0 0 0>`. Such is the relative -coordinate of the ball that is a major second interval away from the origin note. - -As 31 edo is a tempered tuning (as all equal-temperaments are), the same step size in 31 edo +Any 11-prime-limit interval (i.e. its frequency ratio doesn't factorize with primes higher than 11) can be deconstructed into repeated multiplications or divisions of the above primary intervals. Going a positive step in any one axis represents multiplying the frequency by the associated primary interval, and going a negative step in any one axis represents division of the associated frequency ratio. + +For example, the frequency interval of a major second is 9/8, which can be broken down into primary ratios as 3/2 × 3/2 ÷ 2. Referring to the table, that equates to going up two perfect fifths and down one octave, which is indeed a (Pythagorean) major second. Also referring to the table, we get the coordinate vectors `[0 1 0 0 0>` representing 3/2 and `[1 0 0 0 0>` representing 2/1. This means we can represent 9/8 as `2 × [0 1 0 0 0> - [1 0 0 0 0>` which gives us the final coordinate of `[-1 2 0 0 0>`. Such is the relative coordinate of the ball that is a major second interval away from the origin note. + +As 31 edo is a tempered tuning (as all equal-temperaments are), the same step size in 31 edo may correspond to various interval ratios ([see here](https://en.xen.wiki/w/31edo#Intervals)) depending on the harmonic context. -There is an algorithm implemented in [`harmonic-context.js`](https://github.com/euwbah/31edo-lattice-visualiser/blob/master/harmonic-context.js) that computes the -intended frequency ratios between each note played in 31 edo. This algorithm is a heuristic -modelling of the brain's short term memory recall of pitches as per [Diana Deutsch's](https://deutsch.ucsd.edu/psychology/pages.php?i=209) empirical findings, fused with -the perception of consonance of intervals as per [William Sethares' 'dissonance calculating algorithm'](https://sethares.engr.wisc.edu/comprog.html) which models the [critical bandwidth phenomenon](https://www.mpi.nl/world/materials/publications/levelt/Plomp_Levelt_Tonal_1965.pdf). -[Commas](https://en.xen.wiki/w/Comma) are small discrepancies between two intervals of different frequency ratios, where the two intervals end up being the same interval in a tempered tuning system. -The [numerous commas](https://en.xen.wiki/w/31edo#Commas) that 31 edo tempers out cause the coordinates of the notes to continuously -stray further away from the origin as the song progresses. At times, multiple balls at different coordinates representing the same note would simultaneously be present, especially -if the sustain pedal is held down for a long while, representing how that one note is a -double, or even triple entendre of an interval with respect to the other notes present. +There is an algorithm implemented in [`harmonic-context.js`](https://github.com/euwbah/31edo-lattice-visualiser/blob/master/harmonic-context.js) that computes the intended frequency ratios between each note played in 31 edo. This algorithm is a heuristic modelling of the brain's short term memory recall of pitches as per [Diana Deutsch's](https://deutsch.ucsd.edu/psychology/pages.php?i=209) empirical findings, fused with the perception of consonance of intervals as per [William Sethares' 'dissonance calculating algorithm'](https://sethares.engr.wisc.edu/comprog.html) which models the [critical bandwidth phenomenon](https://www.mpi.nl/world/materials/publications/levelt/Plomp_Levelt_Tonal_1965.pdf). + +[Commas](https://en.xen.wiki/w/Comma) are small discrepancies between two intervals of different frequency ratios, where the two intervals end up being the same interval in a tempered tuning system. The [numerous commas](https://en.xen.wiki/w/31edo#Commas) that 31 edo tempers out cause the coordinates of the notes to continuously stray further away from the origin as the song progresses. At times, multiple balls at different coordinates representing the same note would simultaneously be present, especially if the sustain pedal is held down for a long while, representing how that one note is a double, or even triple entendre of an interval with respect to the other notes present. Now with the coordinates of the notes ascertained, the visualizer maps the 5D coordinates down to 2D in various ways. So far, hyperbolic 2D and exponential/log space projections are implemented. (Hyperbolic 3D coming soon) The down-projection of 5 dimensions leaves much room for artistic expression. -Between the notes, there are scaffolding rods connecting them. Each rod represents one -unit in the direction of its axis, and the axes are colour coded. As of the time of writing, these colours correspond to: +Between the notes, there are scaffolding rods connecting them. Each rod represents one unit in the direction of its axis, and the axes are colour coded. As of the time of writing, these colours correspond to: | Colour | Coordinate | Interval | | :---: | :--- | :--- | @@ -74,47 +66,28 @@ unit in the direction of its axis, and the axes are colour coded. As of the time | Dark Blue/Purple | `[0 0 0 1 0>` | Septimal Subminor Seventh | | Brown/Dark orange | `[0 0 0 0 1>` | Undecimal super-fourth | -When new notes are registered, the rods only extend out from the set of notes which -are deemed to be part of the 'Harmonic Context' which is the culmination of the pitch memory -space, dissonance measure, time, and other heuristics applied to calculate -what can be thought of as the 'tonal center'. As such, each new note is contextualised -with respect to the most prominent sounds that linger on in the listeners short -term memory, with the frequency ratio being the most obvious solution at that -particular point in time. +When new notes are registered, the rods only extend out from the set of notes which are deemed to be part of the 'Harmonic Context' which is the culmination of the pitch memory space, dissonance measure, time, and other heuristics applied to calculate what can be thought of as the 'tonal center'. As such, each new note is contextualised with respect to the most prominent sounds that linger on in the listeners short term memory, with the frequency ratio being the most obvious solution at that particular point in time. -Finally, there is a particle generator/flare in central focus, which is in constant -pursuit of a small, like-coloured ball. The small ball represents the [centroid](https://en.wikipedia.org/wiki/Centroid) (_center-of-mass/average position_) of the notes that are -currently present in the 'Harmonic Context'. These elements were initially for debugging, and may be included for aesthetic reasons. The flare color is the [circular -mean](https://en.wikipedia.org/wiki/Circular_mean) of the hue colors of the pitches -in the Harmonic Context, according to the circle of fifths. +Finally, there is a particle generator/flare in central focus, which is in constant pursuit of a small, like-coloured ball. The small ball represents the [centroid](https://en.wikipedia.org/wiki/Centroid) (_center-of-mass/average position_) of the notes that are currently present in the 'Harmonic Context'. These elements were initially for debugging, and may be included for aesthetic reasons. The flare color is the [circular mean](https://en.wikipedia.org/wiki/Circular_mean) of the hue colors of the pitches in the Harmonic Context, according to the circle of fifths. -The dynamics of the music may also affect the rotation, position, zoom and speed of the geometry/axes/projection camera; post-effects; and vibrational jitter of elements. +The dynamics of the music may also affect the rotation, position, zoom and speed of the geometry/axes projection camera; post-effects; and vibrational jitter of elements. ## For devs Project for Sethares' dissonance calculations in WebAssembly/Rust: https://github.com/euwbah/dissonance-wasm. -If you don't have a Seaboard but have some other 31edo MIDI instrument -(e.g. Lumatone), and don't mind patching some code of your own, here's the -list of WebSocket messages that this visualizer supports. Simply start host a local -WebSocket server using the address: `ws://localhost:8765` +If you don't have a Seaboard but have some other 31edo MIDI instrument (e.g. Lumatone), and don't mind patching some code of your own, here's the list of WebSocket messages that this visualizer supports. Simply start host a local non SSL/TLS WebSocket server using the address: `ws://localhost:8765` + +`on:8:127`: Register a note on event for the note 8 edosteps above A4 (C5), at the MIDI velocity 127. -`on:8:127`: Register a note on event for the note 8 edosteps above A4 (C5), at the MIDI -velocity 127. +`off:8:127`: Register a note off event for the note C5, at the key off velocity of 127. (As of now, Key off velocities don't affect how notes appear in the visualizer) -`off:8:127`: Register a note off event for the note C5, at the key off velocity of 127. (As of -now, Key off velocities don't affect how notes appear in the visualizer) +`cc:64:127`: Register a midi CC message for the CC 64 (sustain pedal) with the max value 127. Sustain pedal information is sent using CC messages and affects sustain of notes in the visualizer. -`cc:64:127`: Register a midi CC message for the CC 64 (sustain pedal) with the max -value 127. Sustain pedal information is sent using CC messages and affects sustain of -notes in the visualizer. +`cc:123:0`: Any value sent to CC 123 will turn off all notes (Off All Notes special CC message). ## Contact -If you wish to find out more about the methodology behind this project, talk about -generalised functional tonal harmony in any tuning system, or -have issues with getting it to work for you, feel free to -send me a DM on my instagram profile: https://www.instagram.com/euwbah/ -or discord: euwbah#1417. +If you wish to find out more about the methodology behind this project, talk about generalised functional tonal harmony in any tuning system, or have issues with getting it to work for you, feel free to send me a DM on my instagram profile: https://www.instagram.com/euwbah/ or discord: euwbah#1417. If there's a bug or feature request, [do submit an issue](https://github.com/euwbah/31edo-lattice-visualiser/issues/new).