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strudel/packages/xen/xen.mjs

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JavaScript

/*
xen.mjs - <short description TODO>
Copyright (C) 2022 Strudel contributors - see <https://codeberg.org/uzu/strudel/src/branch/main/packages/xen/xen.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/>.
*/
import { register, _mod, parseNumeral, removeUndefineds, Pattern, parray, State } 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));
/**
* 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. See first 4 examples for the different ways you can input a scale into `xen`
*
* @name xen
* @returns Pattern
* @memberof Pattern
* @param {(string | number[] )} scaleNameOrRatios
* @tags tonal
* @example
* // A minor triad in 31edo:
* i("0 8 18").xen("31edo").piano()
* @example
* // You can also use xen with frequency ratios.
* // This is equivalent to the above:
* i("0 1 2").xen([
* Math.pow(2, 0/31),
* Math.pow(2, 8/31),
* Math.pow(2, 18/31),
* ]).piano()
* @example
* // However, with the above you won't get highlighting of the scale indices,
* // instead you could do something like:
* i("[<2 ->, 0 1 <- 2> 3]*2").xen([
* "1:1", // tonic
* "5:4", // Major 3rd
* "[3:2 4:3]", // Perfect 5th, 4th
* "5:3" // Major 6th
* ]).s("tri")
* @example
* // xen also supports all scale names that
* // tune does:
* i("0 1 2 3 4 5").xen("hexany15")
* // equiv to:
* // "0 1 2 3 4 5".tune("hexany15").mul("220").freq()
* @example
* i("0 1 2 3 4 5 6 7").xen("<5edo 10edo 15edo hexany15>")
*/
export const xen = register(
'xen',
function (scaleNameOrRatios, pat) {
const JIsc2 = (input) => {
let k = parray(input);
return new Pattern((state) => {
let res = k.withValue((x) => x.map((y) => eval(y.join('/')))).query(state);
return res;
});
};
const query = (state) => {
let haps = pat.query(state);
let resHaps = [];
haps.forEach((hap) => {
let hVal = hap.value;
const isObject = typeof hVal === 'object';
if (!isObject) {
throw new Error(
`Expected hap to have control 'i' set, but received ${hap.value.i}, try wrapping input in i()`,
);
}
const { i, ...otherValues } = hVal;
let edo = false;
let st = new State(hap.wholeOrPart().intersection(state.span), state.controls);
// Format: An array of values
// Each value is a pattern, representing an index on the scale
let sc = scaleNameOrRatios.query(st);
// Check to see if input is attempting to be a named scale or a raw scale
let isStr = typeof sc[0].value == 'string';
let isRawScale = Array.isArray(sc[0].value) && sc[0].value.every((x) => typeof x == 'number');
if (!isStr && !isRawScale) {
sc = sc[0].value;
} else if (isRawScale) {
sc = getXenScale(sc[0].value);
}
if (!isStr && !isRawScale) {
let scaleByIndices = [];
for (let j = 0; j < sc.length; j++) {
scaleByIndices[j] = sc[j].query(st);
}
/*
Format: An array of 1 or more Haps, each Hap has an array of values of
one or more scale index definitions (contains whole scale)
Assumption: inner value array should be same length between each
*/
let sc2 = JIsc2(sc).query(st);
let index = _mod(i, sc.length);
for (let j = 0; j < scaleByIndices[index].length; j++) {
let scale = getXenScale(sc2[j].value);
let freq = xenOffset(scale, parseNumeral(i));
let newHap = hap;
freq = trimFreq(freq);
newHap.value = { ...otherValues, freq };
newHap = newHap.setContext(newHap.combineContext(scaleByIndices[index][j]));
resHaps.push(newHap);
}
} else if (isRawScale) {
let freq = xenOffset(sc, parseNumeral(i));
let newHap = hap;
freq = trimFreq(freq);
newHap.value = { ...otherValues, freq };
resHaps.push(newHap);
} else if (isStr) {
// scale is named scale(s)
for (let j = 0; j < sc.length; j++) {
let scaleName = sc[j].value;
let scale = getXenScale(scaleName);
let freq = xenOffset(scale, parseNumeral(i));
let newHap = hap;
freq = trimFreq(freq);
newHap.value = { ...otherValues, freq };
newHap = newHap.setContext(newHap.combineContext(sc[j]));
if (isEdo(scaleName)) {
edo = scaleName.match(/^([1-9]+[0-9]*)edo$/)[1];
newHap = newHap.setContext({ ...newHap.context, edoSize: edo });
}
resHaps.push(newHap);
}
} else {
throw new Error('failed to parse scale');
}
});
return resHaps;
};
return new Pattern(query);
},
false,
);
/**
* Assumes pattern of frequencies tuned to some `base` frequency, such as the output of `xen`
* Because `xen` defaults to `220Hz`, so will `withBase`.
* but you can specify a different original base with the standard optional array syntax '`:`'
* @name withBase
* @param {number} base
* @param {number} (optional) originalBase
* @tags tonal
*
* @example
* i("[0 1 2 3] [3 4] [4 3 2 1]").xen("hexany23").withBase("<220 [300 200]>")
* @example
* mini([1 / 1, 16 / 15, 9 / 8, 6 / 5, 5 / 4].join(' ')).withBase("220:1")
* // mini([1 / 1, 16 / 15, 9 / 8, 6 / 5, 5 / 4].join(' ')).mul(220).freq()
*
* @returns Pattern
*/
export const withBase = register('withBase', (b, pat) => {
let base;
let originalBase = 220;
if (Array.isArray(b)) {
base = b[0];
originalBase = b[1];
} else {
base = b;
}
return pat.withHaps((haps) => {
haps = haps.map((hap) => {
let hVal = hap.value;
const isObject = typeof hVal === 'object';
let freq = isObject ? hVal.freq : hVal;
if (!freq) return hap;
freq = (freq * base) / originalBase;
hap.value = isObject ? { ...hap.value, freq } : { freq };
return 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
* @tags tonal
* @param {number} amt
* @param {number} edoSize (optional)
* @returns {Pattern}
*
* @example
* i("0 1 2").xen("12edo").ftrans("7")
* // n("0 1 2").scale("A:chromatic").trans("7")
* @example
* i("0 8 18").xen("31edo").ftrans("<8 -8>")
* @example
* // to transpose by steps of an edo, use "step:edo" :
* i("0 7 8 18").xen("31edo").ftrans("<0 1:31 1:12>")
* @example
* // it can also work with frequency values directly
* freq("200 300 400").ftrans("<0 7:31 7>")
*/
/* 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, ...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);
});
});