/* xen.mjs - Copyright (C) 2022 Strudel contributors - see 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 . */ import { register, _mod, parseNumeral, removeUndefineds } from '@strudel/core'; import Tune from './tunejs.js'; // returns a list of frequency ratios for given edo scale export function edo(name) { if (!/^[1-9]+[0-9]*edo$/.test(name)) { throw new Error('not an edo scale: "' + name + '"'); } const [_, divisions] = name.match(/^([1-9]+[0-9]*)edo$/); return Array.from({ length: divisions }, (_, i) => Math.pow(2, i / divisions)); } const presets = { '12ji': [1 / 1, 16 / 15, 9 / 8, 6 / 5, 5 / 4, 4 / 3, 45 / 32, 3 / 2, 8 / 5, 5 / 3, 16 / 9, 15 / 8], }; // Given a base frequency such as 220 and an edo scale, returns // an array of frequencies representing the given edo scale in that base function withBase(freq, scale) { return scale.map((r) => r * freq); } const defaultBase = 220; const isEdo = (scale) => /^[1-9]+[0-9]*edo$/.test(scale); // Assumes a base of 220. Returns a filtered scale based on 'indices' // NOTE: indices functionality is unused function getXenScale(scale, indices) { let tune = new Tune(); if (typeof scale === 'string') { if (isEdo(scale)) { scale = edo(scale); } else if (presets[scale]) { scale = presets[scale]; } else if (tune.isValidScale(scale)) { tune.loadScale(scale); scale = tune.scale; } else { throw new Error('unknown scale name: "' + scale + '"'); } } scale = withBase(defaultBase, scale); if (!indices) { return scale; } return scale.filter((_, i) => indices.includes(i)); } function xenOffset(xenScale, offset, index = 0) { const i = _mod(index + offset, xenScale.length); const oct = Math.floor(offset / xenScale.length); return xenScale[i] * Math.pow(2, oct); } const trimFreq = (freq) => parseFloat(freq.toPrecision(10)); // accepts a scale name such as 31edo, and a pattern // pattern expected to follow format such that a value can be mapped // to an edostep within the scale. Returns the pattern with // values mapped to the frequencies associated with the given edosteps // scaleNameOrRatios: string || number[], steps?: number /** * Assumes a numerical pattern of scale steps, and a scale. Scales accepted are all preset scale names of `tune`, arbitrary edos such as 31edo, or an array of frequency ratios. Assumes scales repeat at octave (2/1). Returns a new pattern with all values mapped to their associated frequency, assuming a base frequency of 220hz. * * @name xen * @returns Pattern * @memberof Pattern * @param {(string | number[] )} scaleNameOrRatios * @tags tonal * @example * // A minor triad in 31edo: * "0 8 18".xen("31edo").piano() * @example * // You can also use xen with frequency ratios. * // This is equivalent to the above: * "0 1 2".xen([ * Math.pow(2, 0/31), * Math.pow(2, 8/31), * Math.pow(2, 18/31), * ]).piano() * @example * // xen also supports all scale names that * // tune does: * "0 1 2 3 4 5".xen("hexany15") * // equiv to: * // "0 1 2 3 4 5".tune("hexany15").mul("220").freq() * @example * n("0 1 2 3 4 5 6 7").xen("<5edo 10edo 15edo hexany15>") */ // TODO feat: change root frequency // TODO add explanation for what "31edo" etc. are // TODO (maybe): should this return freq ratios like tune does, for parity's sake? export const xen = register('xen', function (scaleNameOrRatios, pat) { return pat.withHaps((haps) => { haps = haps.map((hap) => { let hVal = hap.value; const isObject = typeof hVal === 'object'; // If hVal is a pure value, place it on `n` so that we interpret it as an edoStep hVal = isObject ? hVal : { n: hVal }; const { n, value, ...otherValues } = hVal; const scale = getXenScale(scaleNameOrRatios); let freq = xenOffset(scale, parseNumeral(hVal.n)); // 10 is somewhat arbitrary freq = trimFreq(freq); hap.value = isObject ? { ...otherValues, freq } : { freq }; return isEdo(scaleNameOrRatios) ? hap.setContext({ ...hap.context, edoSize: scaleNameOrRatios.match(/^([1-9]+[0-9]*)edo$/)[1] }) : hap; }); return removeUndefineds(haps); }); }); /** * Frequency transpose. Assumes pattern either has `freq` set, or has values that can be interpreted as frequencies * amt has optional `edoSize` param, defaults to 12. * If haps have edoSize param set, such as from the output of `xen("31edo")`, * `ftrans` will fallback to that instead of 12 as the default. * * Transposes the frequency by `amt` edoSteps * @name ftranspose * @synonyms ftrans, fTrans, ftranspose, fTranspose * @param {number} amt * @param {number} edoSize (optional) * @returns {Pattern} * * @example * "0 1 2".xen("12edo").ftrans("7") * // n("0 1 2").scale("A:chromatic").trans("7") * @example * "0 8 18".xen("31edo").ftrans("<8 -8>") * @example * // to transpose by steps of an edo, use "step:edo" : * "0 7 8 18".xen("31edo").ftrans("<0 1:31 1:12>") * @example * // it can also work with frequency values directly * "200 300 400".ftrans("<0 7:31 7>").freq() */ /* f = frequency (Hz) n = edo (steps per octave) x = number of steps if 0\n = f, then x\n = f * 2^(x/n) example: 5edo, 0\5 = 220 Hz, then 2\5 = 220*2^(2/5) = 290.29 Hz */ export const { ftrans, fTrans, ftranspose, fTranspose } = register( ['ftrans', 'fTrans', 'ftranspose', 'fTranspose'], (amt, pat) => { let edoSize; let numSteps; if (Array.isArray(amt)) { edoSize = amt[1]; numSteps = amt[0]; } else { numSteps = amt; } return pat.withHaps((haps) => { haps = haps.map((hap) => { let hVal = hap.value; const isObject = typeof hVal === 'object'; hVal = isObject ? hVal : { freq: hVal }; let { freq, value, ...otherValues } = hVal; if (edoSize == undefined && hap.context.edoSize != undefined) { edoSize = hap.context.edoSize; } else if (edoSize == undefined) { edoSize = 12; } freq = freq * Math.pow(2, numSteps / edoSize); freq = trimFreq(freq); hap.value = isObject ? { ...otherValues, freq } : freq; return hap.setContext({ ...hap.context, edoSize }); }); return removeUndefineds(haps); }); }, ); // not sure there's a point to having this and the above, seems like a proto version of the above. const tuning = register('tuning', function (ratios, pat) { return pat.withHap((hap) => { const frequency = xenOffset(ratios, parseNumeral(hap.value)); return hap.withValue(() => frequency); }); });