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strudel/packages/edo/pitches.mjs
2025-06-29 10:49:04 +02:00

99 lines
3.5 KiB
JavaScript

/*
pitches.mjs - defines Pitches for equal division of the octave (EDO) scale
- Port of pitfalls/lib/Pitches.lua - see <https://github.com/robmckinnon/pitfalls/blob/main/lib/Pitches.lua>
Copyright (C) 2025 Rob McKinnon and Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/edo/pitches.mjs>
This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
function ratio(division, edivisions) {
return division === 0 ? 1 : Math.pow(2, division / edivisions);
}
// This function gets frequency based on index, edo, octave, and base frequency
function get_freq(base_freq, edo, index, oct, base_octave) {
let f = base_freq * ratio(index - 1, edo);
if (oct < base_octave) {
f /= Math.pow(2, base_octave - oct);
} else if (oct > base_octave) {
f *= Math.pow(2, oct - base_octave);
}
return f;
}
// Convert MIDI number to Hz using a given tuning multiplier
function midi_to_hz(n, tuning) {
return tuning * Math.pow(2, (n - 69) / 12.0);
}
const denom = Math.log(2);
function hz_to_midi(freq, tuning) {
return 12.0 * (Math.log(freq / tuning) / denom) + 69;
}
export class Pitches {
constructor(scale, intervals, tuning, midi_start, root_octave) {
this.scale = scale;
this.intervals = intervals;
this.base_freq = midi_to_hz(midi_start, tuning);
this.root_octave = root_octave;
this.freqs = {};
this.midis = {};
this.degrees = {};
this.octdegfreqs = {};
this.octdegmidis = {};
let index = 0;
let f = null;
for (let oct = 0; oct <= 8; oct++) {
this.octdegfreqs[oct] = {};
this.octdegmidis[oct] = {};
f = get_freq(this.base_freq, scale.edivisions, scale.tonic, oct, this.root_octave);
for (let deg = 0; deg < scale.length; deg++) {
index = index + 1;
this.freqs[index] = parseFloat((f * intervals.ratio(deg)).toFixed(3));
this.midis[index] = parseFloat(hz_to_midi(f * intervals.ratio(deg), tuning).toFixed(4));
this.degrees[index] = deg;
this.octdegfreqs[oct][deg + 1] = this.freqs[index];
this.octdegmidis[oct][deg + 1] = this.midis[index];
}
}
this.base_freq = parseFloat(this.base_freq).toFixed(4);
}
base_freq() {
return this.base_freq;
}
degree(index) {
return this.degrees[index];
}
freq(index) {
return this.freqs[index];
}
octdeg(deg) {
const higherOcatve = deg > this.scale.length;
const octave = this.root_octave + (higherOcatve ? Math.floor((deg - 1) / this.scale.length) : 0);
const degree = higherOcatve ? (deg % this.scale.length === 0 ? this.scale.length : deg % this.scale.length) : deg;
// console.log([octave, degree]);
return [octave, degree];
}
octdegfreq(oct, deg) {
if (this.octdegfreqs[oct]) {
return this.octdegfreqs[oct][deg];
} else {
return null;
}
}
octdegmidi(oct, deg) {
if (this.octdegmidis[oct]) {
return this.octdegmidis[oct][deg];
} else {
return null;
}
}
}