/* tonal.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 { Note, Interval, Scale } from '@tonaljs/tonal'; import { _mod, errorLogger, getAccidentalsOffset, isNote, logger, noteToMidi, register, removeUndefineds, } from '@strudel/core'; import { stepInNamedScale, nearestNumberIndex } from './tonleiter.mjs'; const octavesInterval = (octaves) => (octaves <= 0 ? -1 : 1) + octaves * 7 + 'P'; function getScale(scaleName) { scaleName = scaleName.replaceAll(':', ' '); const scale = Scale.get(scaleName); const { tonic, empty } = scale; if ((empty && isNote(scaleName)) || (empty && !tonic)) { throw new Error( `Scale name ${scaleName} is incomplete. Make sure to use ":" instead of spaces, example: .scale("C:major")`, ); } else if (empty) { throw new Error(`Invalid scale name "${scaleName}"`); } return scale; } function scaleStep(step, scale) { step = Math.ceil(step); let { intervals, tonic } = getScale(scale); tonic = tonic || 'C'; const { pc, oct = 3 } = Note.get(tonic); const octaveOffset = Math.floor(step / intervals.length); const scaleStep = _mod(step, intervals.length); const interval = Interval.add(intervals[scaleStep], octavesInterval(octaveOffset)); return Note.transpose(pc + oct, interval); } // transpose note inside scale by offset steps // function scaleOffset(scale: string, offset: number, note: string) { function scaleOffset(scale, offset, note) { let { notes } = getScale(scale); notes = notes.map((note) => Note.get(note).pc); // use only pc! offset = Number(offset); if (isNaN(offset)) { throw new Error(`scale offset "${offset}" not a number`); } const { pc: fromPc, oct = 3 } = Note.get(note); const noteIndex = notes.indexOf(fromPc); if (noteIndex === -1) { throw new Error(`note "${note}" is not in scale "${scale}"`); } let i = noteIndex, o = oct, n = fromPc; const direction = Math.sign(offset); // TODO: find way to do this smarter while (Math.abs(i - noteIndex) < Math.abs(offset)) { i += direction; const index = _mod(i, notes.length); if (direction < 0 && n[0] === 'C') { o += direction; } n = notes[index]; if (direction > 0 && n[0] === 'C') { o += direction; } } return n + o; } // Pattern.prototype._transpose = function (intervalOrSemitones: string | number) { /** * Change the pitch of each value by the given amount. Expects numbers or note strings as values. * The amount can be given as a number of semitones or as a string in interval short notation. * If you don't care about enharmonic correctness, just use numbers. Otherwise, pass the interval of * the form: ST where S is the degree number and T the type of interval with * * - M = major * - m = minor * - P = perfect * - A = augmented * - d = diminished * * Examples intervals: * * - 1P = unison * - 3M = major third * - 3m = minor third * - 4P = perfect fourth * - 4A = augmented fourth * - 5P = perfect fifth * - 5d = diminished fifth * * @tags tonal * @param {string | number} amount Either number of semitones or interval string. * @returns Pattern * @memberof Pattern * @name transpose * @synonyms trans * @example * "c2 c3".fast(2).transpose("<0 -2 5 3>".slow(2)).note() * @example * "c2 c3".fast(2).transpose("<1P -2M 4P 3m>".slow(2)).note() */ export const { transpose, trans } = register(['transpose', 'trans'], function transposeFn(intervalOrSemitones, pat) { return pat.withHap((hap) => { const note = hap.value.note ?? hap.value; if (typeof note === 'number') { // note is a number, so just add the number semitones of the interval let semitones; if (typeof intervalOrSemitones === 'number') { semitones = intervalOrSemitones; } else if (typeof intervalOrSemitones === 'string') { semitones = Interval.semitones(intervalOrSemitones) || 0; } const targetNote = note + semitones; if (typeof hap.value === 'object') { return hap.withValue(() => ({ ...hap.value, note: targetNote })); } return hap.withValue(() => targetNote); } if (typeof note !== 'string' || !isNote(note)) { logger(`[tonal] transpose: not a note "${note}"`, 'warning'); return hap; } // note is a string, so we might be able to preserve harmonics if interval is a string as well const interval = !isNaN(Number(intervalOrSemitones)) ? Interval.fromSemitones(intervalOrSemitones) : String(intervalOrSemitones); const targetNote = Note.transpose(note, interval); if (typeof hap.value === 'object') { return hap.withValue(() => ({ ...hap.value, note: targetNote })); } return hap.withValue(() => targetNote); }); }); // example: transpose(3).late(0.2) will be equivalent to compose(transpose(3), late(0.2)) // e.g. `stack(c3).superimpose(transpose(slowcat(7, 5)))` or // or even `stack(c3).superimpose(transpose.slowcat(7, 5))` or /** * Transposes notes inside the scale by the number of steps. * Expected to be called on a Pattern which already has a {@link Pattern#scale} * * @memberof Pattern * @name scaleTranspose * @tags tonal * @param {offset} offset number of steps inside the scale * @returns Pattern * @synonyms scaleTrans, strans * @example * "-8 [2,4,6]" * .scale('C4 bebop major') * .scaleTranspose("<0 -1 -2 -3 -4 -5 -6 -4>") * .note() */ export const { scaleTranspose, scaleTrans, strans } = register( ['scaleTranspose', 'scaleTrans', 'strans'], function (offset /* : number | string */, pat) { return pat.withHap((hap) => { if (!hap.context.scale) { throw new Error('can only use scaleTranspose after .scale'); } if (typeof hap.value === 'object') return hap.withValue(() => ({ ...hap.value, note: scaleOffset(hap.context.scale, Number(offset), hap.value.note), })); if (typeof hap.value !== 'string') { throw new Error('can only use scaleTranspose with notes'); } return hap.withValue(() => scaleOffset(hap.context.scale, Number(offset), hap.value)); }); }, ); // Converts a step value, which is a number optionally decorated with sharps and flats, // to a number and an `offset` number of semitones function _convertStepToNumberAndOffset(step) { let asNumber = Number(step); let offset = 0; if (isNaN(asNumber)) { step = String(step); // Check to see if the step matches the expected format: // - A number (possibly negative) // - Some number of sharps or flats const match = /^(-?\d+)([#bsf]*)$/.exec(step); if (!match) { throw new Error(`invalid scale step "${step}", expected number or integer with optional # b suffixes`); } asNumber = Number(match[1]); const accidentals = match[2] || ''; offset = getAccidentalsOffset(accidentals); } return [asNumber, offset]; } let scaleToMidisAndNotes = {}; // Finds the nearest scale note to `note` function _getNearestScaleNote(scaleName, note, preferHigher = true) { let noteMidi = typeof note === 'string' ? noteToMidi(note) : note; if (scaleToMidisAndNotes[scaleName] === undefined) { const { intervals, tonic } = getScale(scaleName); const { pc } = Note.get(tonic); const expandedIntervals = intervals.concat('8P'); // add the octave for wrapping const sNotes = expandedIntervals.map((interval) => Note.transpose(pc + '0', interval)); const sMidi = sNotes.map(noteToMidi); // Cache scaleToMidisAndNotes[scaleName] = [sMidi, sNotes]; } const [scaleMidis, scaleNotes] = scaleToMidisAndNotes[scaleName]; const rootMidi = scaleMidis[0]; const octaveDiff = Math.floor((noteMidi - rootMidi) / 12); const alignedMidis = scaleMidis.map((m) => m + 12 * octaveDiff); const noteIdx = nearestNumberIndex(noteMidi, alignedMidis, preferHigher); const noteMatch = scaleNotes[noteIdx]; return Note.transpose(noteMatch, Interval.fromSemitones(12 * octaveDiff)); } /** * Turns numbers into notes in the scale (zero indexed) or quantizes notes to a scale. * * When describing notes via numbers, note that negative numbers can be used to wrap backwards * in the scale as well as sharps or flats to produce notes outside of the scale. * * Also sets scale for other scale operations, like {@link Pattern#scaleTranspose}. * * A scale consists of a root note (e.g. `c4`, `c`, `f#`, `bb4`) followed by semicolon (':') and then a [scale type](https://github.com/tonaljs/tonal/blob/main/packages/scale-type/data.ts). * * The scale name must be written without spaces (because it would be interpreted as a multi-step pattern otherwise). * If your scale name includes spaces, replace them with colons. * * The root note defaults to octave 3, if no octave number is given. * * @name scale * @tags tonal * @param {string} scale Name of scale * @returns Pattern * @example * n("0 2 4 6 4 2").scale("C:major") * @example * n("[0,7] 4 [2,7] 4") * .scale("C:/2") * .s("piano") * @example * n(rand.range(0,12).segment(8)) * .scale("C:ritusen") * .s("piano") * @example * n("<[0,7b] [-4# -4] [-2,7##] 4 [0,7] [-4# -4b] [-2,7###] 4b>*4") * .scale("C:/2") * .s("piano") * @example * note("C1*16").transpose(irand(36)).scale('Cb2 major').scaleTranspose(3) * @example * n("[0 0] [1 2] [3 4] [5 6]").scale("C:major:blues") */ export const scale = register( 'scale', function (scale, pat) { // Supports ':' list syntax in mininotation if (Array.isArray(scale)) { scale = scale.flat().join(' '); } 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 a scale degree hVal = isObject ? hVal : { n: hVal }; const { note, n, value, ...otherValues } = hVal; const noteOrStep = note ?? n ?? value; if (noteOrStep === undefined) { logger( `[tonal] Invalid value format for 'scale'. Value must contain n, note, or value but received keys [${Object.keys(hVal).join(', ')}]`, 'error', ); return hap; // pass the value through unchanged } let scaleNote; if (isNote(noteOrStep)) { // Note case (quantize to scale) scaleNote = _getNearestScaleNote(scale, noteOrStep); hap.value = { ...otherValues, note: scaleNote }; } else { // Step case (convert to note in scale) try { const [number, offset] = _convertStepToNumberAndOffset(noteOrStep); if (otherValues.anchor) { scaleNote = stepInNamedScale(number, scale, otherValues.anchor); } else { scaleNote = scaleStep(number, scale); } if (offset != 0) scaleNote = Note.transpose(scaleNote, Interval.fromSemitones(offset)); } catch (err) { errorLogger(err, 'tonal'); return; // will be removed } } hap.value = isObject ? { ...otherValues, note: scaleNote } : scaleNote; // Tag with scale for downsteam scale-aware operations return hap.setContext({ ...hap.context, scale }); }); return removeUndefineds(haps); }); }, true, true, // preserve step count );