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https://codeberg.org/uzu/strudel
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Merge pull request 'improve xen documentation' (#1946) from tyow/localstrudel:xen-docs into main
Reviewed-on: https://codeberg.org/uzu/strudel/pulls/1946
This commit is contained in:
froos
@@ -7,12 +7,42 @@ This program is free software: you can redistribute it and/or modify it under th
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import Tune from './tunejs.js';
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import { register } from '@strudel/core';
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/**
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* Assumes a numerical pattern of EDO steps. Accepts a scale name or list of frequencies (see all available names at the link on the reference). Returns a new pattern with all values mapped to a frequency ratio. Similar to `xen`.
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* @name tune
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* @returns Pattern
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* @memberof Pattern
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* @param {(string | number[] )} scale
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* @example
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* "0 1 2 3 4 5".tune("hexany15").mul("220").freq()
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* @example
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* // You can set your root to be a
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* // particular note with getFreq:
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* "4 8 9 10 - - 5 7 9 11 - -".tune("tranh3")
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* .mul(getFreq('c3'))
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* .freq().clip(.5).room(1)
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* @example
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* // You can also give tune a list of
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* // frequencies to use as the scale:
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* "0 1 2 3 4".tune([
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* 261.6255653006,
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* 302.72962012827,
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* 350.29154279212,
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* 405.32593044476,
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* 469.00678383895,
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* 523.2511306012
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* ]).mul(220).freq();
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* @tags tonal
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*/
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// Tune.scale seems to be in ratio format
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export const tune = register('tune', (scale, pat) => {
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const tune = new Tune();
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if (!tune.isValidScale(scale)) {
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throw new Error('not a valid tune.js scale name: "' + scale + '". See http://abbernie.github.io/tune/scales.html');
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}
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tune.loadScale(scale);
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// if the tonic is a frequency, why are we putting in "1"
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tune.tonicize(1);
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return pat.withHap((hap) => {
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return hap.withValue(() => tune.note(hap.value));
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+14
-4
@@ -78,14 +78,21 @@ Tune.prototype.frequency = function(stepIn, octaveIn) {
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}
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// which scale degree (0 - scale length) is our input
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// 60 % 12 = 0
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var scaleDegree = stepIn % this.scale.length
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// what's this doing
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// 0 scaleDegree = 12
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// seems to simply be for a negative result from above, maybe another way to do it, but ok for now
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while (scaleDegree < 0) {
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scaleDegree += this.scale.length
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}
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// tonic is currently always 1
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// so this is 1*scale[scaledegree]
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var freq = this.tonic*this.scale[scaleDegree]
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// map it to octave
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freq = freq*(Math.pow(2,octave))
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// truncate irrational numbers
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@@ -137,10 +144,13 @@ Tune.prototype.MIDI = function(stepIn,octaveIn) {
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}
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/* Load a new scale */
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// sets .scale to ratios
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Tune.prototype.loadScale = function(scale){
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/* load the scale */
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let name
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if (typeof scale === 'string') name = scale;
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var freqs = isArrayOfNumbers(scale) ? scale : TuningList[scale].frequencies
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this.scale = []
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for (var i=0;i<freqs.length-1;i++) {
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@@ -148,10 +158,10 @@ Tune.prototype.loadScale = function(scale){
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}
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/* visualize in console */
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/* console.log(" ");
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console.log("LOADED "+name);
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console.log(TuningList[name].description);
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console.log(this.scale); */
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// console.log(" ");
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// console.log("LOADED "+name);
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// console.log(TuningList[name].description);
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// console.log(this.scale);
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var vis = [];
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for (var i=0;i<100;i++) {
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vis[i] = " ";
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+49
-1
@@ -5,7 +5,9 @@ This program is free software: you can redistribute it and/or modify it under th
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*/
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import { register, _mod, parseNumeral } from '@strudel/core';
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import Tune from './tunejs.js';
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// returns a list of frequency ratios for given edo scale
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export function edo(name) {
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if (!/^[1-9]+[0-9]*edo$/.test(name)) {
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throw new Error('not an edo scale: "' + name + '"');
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@@ -18,18 +20,26 @@ const presets = {
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'12ji': [1 / 1, 16 / 15, 9 / 8, 6 / 5, 5 / 4, 4 / 3, 45 / 32, 3 / 2, 8 / 5, 5 / 3, 16 / 9, 15 / 8],
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};
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// Given a base frequency such as 220 and an edo scale, returns
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// an array of frequencies representing the given edo scale in that base
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function withBase(freq, scale) {
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return scale.map((r) => r * freq);
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}
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const defaultBase = 220;
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// Assumes a base of 220. Returns a filtered scale based on 'indices'
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// NOTE: indices functionality is unused
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function getXenScale(scale, indices) {
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let tune = new Tune();
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if (typeof scale === 'string') {
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if (/^[1-9]+[0-9]*edo$/.test(scale)) {
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scale = edo(scale);
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} else if (presets[scale]) {
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scale = presets[scale];
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} else if (tune.isValidScale(scale)) {
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tune.loadScale(scale);
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scale = tune.scale;
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} else {
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throw new Error('unknown scale name: "' + scale + '"');
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}
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@@ -47,15 +57,53 @@ function xenOffset(xenScale, offset, index = 0) {
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return xenScale[i] * Math.pow(2, oct);
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}
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// accepts a scale name such as 31edo, and a pattern
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// pattern expected to follow format such that a value can be mapped
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// to an edostep within the scale. Returns the pattern with
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// values mapped to the frequencies associated with the given edosteps
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// scaleNameOrRatios: string || number[], steps?: number
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/**
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* 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.
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*
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* @name xen
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* @returns Pattern
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* @memberof Pattern
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* @param {(string | number[] )} scaleNameOrRatios
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* @tags tonal
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* @example
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* // A major triad in 31edo:
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* "0 8 18".xen("31edo").freq().piano()
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* @example
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* // You can also use xen with frequency ratios.
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* // This is equivalent to the above:
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* "0 1 2".xen([
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* Math.pow(2, 0/31),
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* Math.pow(2, 8/31),
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* Math.pow(2, 18/31),
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* ]).freq().piano()
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* @example
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* // xen also supports all scale names that
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* // tune does:
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* "0 1 2 3 4 5".xen("hexany15").freq()
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* // equiv to:
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* // "0 1 2 3 4 5".tune("hexany15").mul("220").freq()
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*/
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// TODO feat: change root frequency
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// TODO add explanation for what "31edo" etc. are
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// TODO (maybe): should this return freq ratios like tune does, for parity's sake?
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export const xen = register('xen', function (scaleNameOrRatios, pat) {
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return pat.withHap((hap) => {
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const scale = getXenScale(scaleNameOrRatios);
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const frequency = xenOffset(scale, parseNumeral(hap.value));
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let frequency = xenOffset(scale, parseNumeral(hap.value));
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// 10 is somewhat arbitrary
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frequency = parseFloat(frequency.toPrecision(10));
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return hap.withValue(() => frequency);
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});
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});
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// not sure there's a point to having this and the above, seems like a proto version of the above.
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export const tuning = register('tuning', function (ratios, pat) {
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return pat.withHap((hap) => {
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const frequency = xenOffset(ratios, parseNumeral(hap.value));
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@@ -13215,6 +13215,97 @@ exports[`runs examples > example "tri" example index 0 1`] = `
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]
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`;
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exports[`runs examples > example "tune" example index 0 1`] = `
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[
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"[ 0/1 → 1/6 | freq:0 ]",
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"[ 1/6 → 1/3 | freq:220 ]",
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"[ 1/3 → 1/2 | freq:440 ]",
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"[ 1/2 → 2/3 | freq:660 ]",
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"[ 2/3 → 5/6 | freq:880 ]",
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"[ 5/6 → 1/1 | freq:1100 ]",
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"[ 1/1 → 7/6 | freq:0 ]",
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"[ 7/6 → 4/3 | freq:220 ]",
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"[ 4/3 → 3/2 | freq:440 ]",
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"[ 3/2 → 5/3 | freq:660 ]",
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"[ 5/3 → 11/6 | freq:880 ]",
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"[ 11/6 → 2/1 | freq:1100 ]",
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"[ 2/1 → 13/6 | freq:0 ]",
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"[ 13/6 → 7/3 | freq:220 ]",
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"[ 7/3 → 5/2 | freq:440 ]",
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"[ 5/2 → 8/3 | freq:660 ]",
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"[ 8/3 → 17/6 | freq:880 ]",
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"[ 17/6 → 3/1 | freq:1100 ]",
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"[ 3/1 → 19/6 | freq:0 ]",
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"[ 19/6 → 10/3 | freq:220 ]",
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"[ 10/3 → 7/2 | freq:440 ]",
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"[ 7/2 → 11/3 | freq:660 ]",
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"[ 11/3 → 23/6 | freq:880 ]",
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"[ 23/6 → 4/1 | freq:1100 ]",
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]
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`;
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exports[`runs examples > example "tune" example index 1 1`] = `
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[
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"[ 0/1 → 1/12 | freq:523.2511306011972 clip:0.5 room:1 ]",
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"[ 1/12 → 1/6 | freq:1046.5022612023945 clip:0.5 room:1 ]",
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"[ 1/6 → 1/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 1/4 → 1/3 | freq:1308.1278265029932 clip:0.5 room:1 ]",
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"[ 1/2 → 7/12 | freq:654.0639132514966 clip:0.5 room:1 ]",
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"[ 7/12 → 2/3 | freq:915.6894785520951 clip:0.5 room:1 ]",
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"[ 2/3 → 3/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 3/4 → 5/6 | freq:1438.9406091532924 clip:0.5 room:1 ]",
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"[ 1/1 → 13/12 | freq:523.2511306011972 clip:0.5 room:1 ]",
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"[ 13/12 → 7/6 | freq:1046.5022612023945 clip:0.5 room:1 ]",
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"[ 7/6 → 5/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 5/4 → 4/3 | freq:1308.1278265029932 clip:0.5 room:1 ]",
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"[ 3/2 → 19/12 | freq:654.0639132514966 clip:0.5 room:1 ]",
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"[ 19/12 → 5/3 | freq:915.6894785520951 clip:0.5 room:1 ]",
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"[ 5/3 → 7/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 7/4 → 11/6 | freq:1438.9406091532924 clip:0.5 room:1 ]",
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"[ 2/1 → 25/12 | freq:523.2511306011972 clip:0.5 room:1 ]",
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"[ 25/12 → 13/6 | freq:1046.5022612023945 clip:0.5 room:1 ]",
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"[ 13/6 → 9/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 9/4 → 7/3 | freq:1308.1278265029932 clip:0.5 room:1 ]",
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"[ 5/2 → 31/12 | freq:654.0639132514966 clip:0.5 room:1 ]",
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"[ 31/12 → 8/3 | freq:915.6894785520951 clip:0.5 room:1 ]",
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"[ 8/3 → 11/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 11/4 → 17/6 | freq:1438.9406091532924 clip:0.5 room:1 ]",
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"[ 3/1 → 37/12 | freq:523.2511306011972 clip:0.5 room:1 ]",
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"[ 37/12 → 19/6 | freq:1046.5022612023945 clip:0.5 room:1 ]",
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"[ 19/6 → 13/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 13/4 → 10/3 | freq:1308.1278265029932 clip:0.5 room:1 ]",
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"[ 7/2 → 43/12 | freq:654.0639132514966 clip:0.5 room:1 ]",
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"[ 43/12 → 11/3 | freq:915.6894785520951 clip:0.5 room:1 ]",
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"[ 11/3 → 15/4 | freq:1177.3150438526939 clip:0.5 room:1 ]",
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"[ 15/4 → 23/6 | freq:1438.9406091532924 clip:0.5 room:1 ]",
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]
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`;
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exports[`runs examples > example "tune" example index 2 1`] = `
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[
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"[ 0/1 → 1/5 | freq:0 ]",
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"[ 1/5 → 2/5 | freq:220 ]",
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"[ 2/5 → 3/5 | freq:440 ]",
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"[ 3/5 → 4/5 | freq:660 ]",
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"[ 4/5 → 1/1 | freq:880 ]",
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"[ 1/1 → 6/5 | freq:0 ]",
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"[ 6/5 → 7/5 | freq:220 ]",
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||||
"[ 7/5 → 8/5 | freq:440 ]",
|
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"[ 8/5 → 9/5 | freq:660 ]",
|
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"[ 9/5 → 2/1 | freq:880 ]",
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"[ 2/1 → 11/5 | freq:0 ]",
|
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"[ 11/5 → 12/5 | freq:220 ]",
|
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"[ 12/5 → 13/5 | freq:440 ]",
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"[ 13/5 → 14/5 | freq:660 ]",
|
||||
"[ 14/5 → 3/1 | freq:880 ]",
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||||
"[ 3/1 → 16/5 | freq:0 ]",
|
||||
"[ 16/5 → 17/5 | freq:220 ]",
|
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"[ 17/5 → 18/5 | freq:440 ]",
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"[ 18/5 → 19/5 | freq:660 ]",
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"[ 19/5 → 4/1 | freq:880 ]",
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]
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`;
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exports[`runs examples > example "undegrade" example index 0 1`] = `
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[
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"[ 0/1 → 1/8 | s:hh ]",
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@@ -14127,6 +14218,69 @@ exports[`runs examples > example "wtphaserand" example index 0 1`] = `
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]
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`;
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exports[`runs examples > example "xen" example index 0 1`] = `
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[
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"[ 0/1 → 1/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 1/3 → 2/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 2/3 → 1/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 1/1 → 4/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 4/3 → 5/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 5/3 → 2/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 2/1 → 7/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 7/3 → 8/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 8/3 → 3/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 3/1 → 10/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 10/3 → 11/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 11/3 → 4/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
]
|
||||
`;
|
||||
|
||||
exports[`runs examples > example "xen" example index 1 1`] = `
|
||||
[
|
||||
"[ 0/1 → 1/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 1/3 → 2/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 2/3 → 1/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 1/1 → 4/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 4/3 → 5/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 5/3 → 2/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 2/1 → 7/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 7/3 → 8/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 8/3 → 3/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
"[ 3/1 → 10/3 | freq:220 clip:1 s:piano release:0.1 pan:0.5138888888888888 ]",
|
||||
"[ 10/3 → 11/3 | freq:263.0921203 clip:1 s:piano release:0.1 pan:0.5277777777777778 ]",
|
||||
"[ 11/3 → 4/1 | freq:329.0139341 clip:1 s:piano release:0.1 pan:0.5462962962962963 ]",
|
||||
]
|
||||
`;
|
||||
|
||||
exports[`runs examples > example "xen" example index 2 1`] = `
|
||||
[
|
||||
"[ 0/1 → 1/6 | freq:220 ]",
|
||||
"[ 1/6 → 1/3 | freq:275 ]",
|
||||
"[ 1/3 → 1/2 | freq:293.3333333 ]",
|
||||
"[ 1/2 → 2/3 | freq:330 ]",
|
||||
"[ 2/3 → 5/6 | freq:352 ]",
|
||||
"[ 5/6 → 1/1 | freq:440 ]",
|
||||
"[ 1/1 → 7/6 | freq:220 ]",
|
||||
"[ 7/6 → 4/3 | freq:275 ]",
|
||||
"[ 4/3 → 3/2 | freq:293.3333333 ]",
|
||||
"[ 3/2 → 5/3 | freq:330 ]",
|
||||
"[ 5/3 → 11/6 | freq:352 ]",
|
||||
"[ 11/6 → 2/1 | freq:440 ]",
|
||||
"[ 2/1 → 13/6 | freq:220 ]",
|
||||
"[ 13/6 → 7/3 | freq:275 ]",
|
||||
"[ 7/3 → 5/2 | freq:293.3333333 ]",
|
||||
"[ 5/2 → 8/3 | freq:330 ]",
|
||||
"[ 8/3 → 17/6 | freq:352 ]",
|
||||
"[ 17/6 → 3/1 | freq:440 ]",
|
||||
"[ 3/1 → 19/6 | freq:220 ]",
|
||||
"[ 19/6 → 10/3 | freq:275 ]",
|
||||
"[ 10/3 → 7/2 | freq:293.3333333 ]",
|
||||
"[ 7/2 → 11/3 | freq:330 ]",
|
||||
"[ 11/3 → 23/6 | freq:352 ]",
|
||||
"[ 23/6 → 4/1 | freq:440 ]",
|
||||
]
|
||||
`;
|
||||
|
||||
exports[`runs examples > example "xfade" example index 0 1`] = `
|
||||
[
|
||||
"[ 0/1 → 1/8 | s:hh gain:0 ]",
|
||||
|
||||
@@ -104,7 +104,7 @@ export const SIDEBAR: Sidebar = {
|
||||
Understand: [
|
||||
{ text: 'Coding syntax', link: 'learn/code' },
|
||||
{ text: 'Pitch', link: 'understand/pitch' },
|
||||
{ text: 'Xen Harmonic Functions', link: 'learn/xen' },
|
||||
{ text: 'Xenharmonic Functions', link: 'learn/xen' },
|
||||
{ text: 'Cycles', link: 'understand/cycles' },
|
||||
{ text: 'Voicings', link: 'understand/voicings' },
|
||||
{ text: 'Pattern Alignment', link: 'technical-manual/alignment' },
|
||||
|
||||
@@ -1,17 +1,21 @@
|
||||
---
|
||||
title: Xen Harmonic Functions
|
||||
title: Xenharmonic Functions
|
||||
layout: ../../layouts/MainLayout.astro
|
||||
---
|
||||
|
||||
import { MiniRepl } from '../../docs/MiniRepl';
|
||||
import { JsDoc } from '../../docs/JsDoc';
|
||||
|
||||
# Xen Harmonic Functions
|
||||
# Xenharmonic Functions (experimental)
|
||||
|
||||
{/* TODO expand explanation of xenharmony */}
|
||||
|
||||
These functions allow the use of scales other than your typical chromatic 12 based ones.
|
||||
|
||||
### tune(scale)
|
||||
|
||||
{/* TODO (maybe): combine jsdoc things in tune.mjs with here */}
|
||||
|
||||
<JsDoc client:idle name="tune" h={0} />
|
||||
|
||||
Here's an example of how to configure a basic hexany scale:
|
||||
@@ -93,3 +97,23 @@ Note the legato and reverb effects make sure the sound of the strumming gets to
|
||||
tones sound even more alive, too.
|
||||
|
||||
The `tranh3` tuning has a similar set of notes, with two clashing. You might trying plugging that in above and see if you find a favorite strumming pattern.
|
||||
|
||||
You can also give tune a list of frequencies to use as the scale:
|
||||
|
||||
<MiniRepl
|
||||
client:idle
|
||||
tune={`"0 1 2 3 4".tune([
|
||||
261.6255653006,
|
||||
302.72962012827,
|
||||
350.29154279212,
|
||||
405.32593044476,
|
||||
469.00678383895,
|
||||
523.2511306012
|
||||
]).mul(220).freq();`}
|
||||
/>
|
||||
|
||||
### xen(scaleOrRatios)
|
||||
|
||||
{/* TODO add explanation of EDO to documentation */}
|
||||
|
||||
<JsDoc client:idle name="Pattern.xen" h={0} />
|
||||
|
||||
Reference in New Issue
Block a user