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@tonaljs/scale

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Musical scales and its relations

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{"version":3,"sources":["../index.ts"],"sourcesContent":["/**\n * References:\n * - https://www.researchgate.net/publication/327567188_An_Algorithm_for_Spelling_the_Pitches_of_Any_Musical_Scale\n * @module scale\n */\nimport { all as chordTypes } from \"@tonaljs/chord-type\";\nimport { range as nums, rotate } from \"@tonaljs/collection\";\nimport { enharmonic, fromMidi, sortedUniqNames } from \"@tonaljs/note\";\nimport {\n chroma,\n isChroma,\n isSubsetOf,\n isSupersetOf,\n modes,\n} from \"@tonaljs/pcset\";\nimport { tonicIntervalsTransposer, transpose } from \"@tonaljs/pitch-distance\";\nimport { note, NoteName } from \"@tonaljs/pitch-note\";\nimport {\n all,\n get as getScaleType,\n ScaleType,\n names as scaleTypeNames,\n all as scaleTypes,\n} from \"@tonaljs/scale-type\";\n\ntype ScaleName = string;\ntype ScaleNameTokens = [string, string]; // [TONIC, SCALE TYPE]\n\nexport interface Scale extends ScaleType {\n tonic: string | null;\n type: string;\n notes: NoteName[];\n}\n\nconst NoScale: Scale = {\n empty: true,\n name: \"\",\n type: \"\",\n tonic: null,\n setNum: NaN,\n chroma: \"\",\n normalized: \"\",\n aliases: [],\n notes: [],\n intervals: [],\n};\n\n/**\n * Given a string with a scale name and (optionally) a tonic, split\n * that components.\n *\n * It returns an array with the form [ name, tonic ] where tonic can be a\n * note name or null and name can be any arbitrary string\n * (this function doesn't check if that scale name exists)\n *\n * @function\n * @param {string} name - the scale name\n * @return {Array} an array [tonic, name]\n * @example\n * tokenize(\"C mixolydian\") // => [\"C\", \"mixolydian\"]\n * tokenize(\"anything is valid\") // => [\"\", \"anything is valid\"]\n * tokenize() // => [\"\", \"\"]\n */\nexport function tokenize(name: ScaleName): ScaleNameTokens {\n if (typeof name !== \"string\") {\n return [\"\", \"\"];\n }\n const i = name.indexOf(\" \");\n const tonic = note(name.substring(0, i));\n if (tonic.empty) {\n const n = note(name);\n return n.empty ? [\"\", name.toLowerCase()] : [n.name, \"\"];\n }\n\n const type = name.substring(tonic.name.length + 1).toLowerCase();\n return [tonic.name, type.length ? type : \"\"];\n}\n\n/**\n * Get all scale names\n * @function\n */\nexport const names = scaleTypeNames;\n\n/**\n * Get a Scale from a scale name.\n */\nexport function get(src: ScaleName | ScaleNameTokens): Scale {\n const tokens = Array.isArray(src) ? src : tokenize(src);\n const tonic = note(tokens[0]).name;\n const st = getScaleType(tokens[1]);\n if (st.empty) {\n return NoScale;\n }\n\n const type = st.name;\n const notes: string[] = tonic\n ? st.intervals.map((i) => transpose(tonic, i))\n : [];\n\n const name = tonic ? tonic + \" \" + type : type;\n\n return { ...st, name, type, tonic, notes };\n}\n\n/**\n * @deprecated\n * @use Scale.get\n */\nexport const scale = get;\n\nexport function detect(\n notes: string[],\n options: { tonic?: string; match?: \"exact\" | \"fit\" } = {},\n): string[] {\n const notesChroma = chroma(notes);\n const tonic = note(options.tonic ?? notes[0] ?? \"\");\n const tonicChroma = tonic.chroma;\n if (tonicChroma === undefined) {\n return [];\n }\n\n const pitchClasses = notesChroma.split(\"\");\n pitchClasses[tonicChroma] = \"1\";\n const scaleChroma = rotate(tonicChroma, pitchClasses).join(\"\");\n const match = all().find((scaleType) => scaleType.chroma === scaleChroma);\n\n const results: string[] = [];\n if (match) {\n results.push(tonic.name + \" \" + match.name);\n }\n if (options.match === \"exact\") {\n return results;\n }\n\n extended(scaleChroma).forEach((scaleName) => {\n results.push(tonic.name + \" \" + scaleName);\n });\n\n return results;\n}\n\n/**\n * Get all chords that fits a given scale\n *\n * @function\n * @param {string} name - the scale name\n * @return {Array<string>} - the chord names\n *\n * @example\n * scaleChords(\"pentatonic\") // => [\"5\", \"64\", \"M\", \"M6\", \"Madd9\", \"Msus2\"]\n */\nexport function scaleChords(name: string): string[] {\n const s = get(name);\n const inScale = isSubsetOf(s.chroma);\n return chordTypes()\n .filter((chord) => inScale(chord.chroma))\n .map((chord) => chord.aliases[0]);\n}\n/**\n * Get all scales names that are a superset of the given one\n * (has the same notes and at least one more)\n *\n * @function\n * @param {string} name\n * @return {Array} a list of scale names\n * @example\n * extended(\"major\") // => [\"bebop\", \"bebop dominant\", \"bebop major\", \"chromatic\", \"ichikosucho\"]\n */\nexport function extended(name: string): string[] {\n const chroma = isChroma(name) ? name : get(name).chroma;\n const isSuperset = isSupersetOf(chroma);\n return scaleTypes()\n .filter((scale) => isSuperset(scale.chroma))\n .map((scale) => scale.name);\n}\n\n/**\n * Find all scales names that are a subset of the given one\n * (has less notes but all from the given scale)\n *\n * @function\n * @param {string} name\n * @return {Array} a list of scale names\n *\n * @example\n * reduced(\"major\") // => [\"ionian pentatonic\", \"major pentatonic\", \"ritusen\"]\n */\nexport function reduced(name: string): string[] {\n const isSubset = isSubsetOf(get(name).chroma);\n return scaleTypes()\n .filter((scale) => isSubset(scale.chroma))\n .map((scale) => scale.name);\n}\n\n/**\n * Given an array of notes, return the scale: a pitch class set starting from\n * the first note of the array\n *\n * @function\n * @param {string[]} notes\n * @return {string[]} pitch classes with same tonic\n * @example\n * scaleNotes(['C4', 'c3', 'C5', 'C4', 'c4']) // => [\"C\"]\n * scaleNotes(['D4', 'c#5', 'A5', 'F#6']) // => [\"D\", \"F#\", \"A\", \"C#\"]\n */\nexport function scaleNotes(notes: NoteName[]) {\n const pcset: string[] = notes.map((n) => note(n).pc).filter((x) => x);\n const tonic = pcset[0];\n const scale = sortedUniqNames(pcset);\n return rotate(scale.indexOf(tonic), scale);\n}\n\ntype ScaleMode = [string, string];\n/**\n * Find mode names of a scale\n *\n * @function\n * @param {string} name - scale name\n * @example\n * modeNames(\"C pentatonic\") // => [\n * [\"C\", \"major pentatonic\"],\n * [\"D\", \"egyptian\"],\n * [\"E\", \"malkos raga\"],\n * [\"G\", \"ritusen\"],\n * [\"A\", \"minor pentatonic\"]\n * ]\n */\nexport function modeNames(name: string): ScaleMode[] {\n const s = get(name);\n if (s.empty) {\n return [];\n }\n\n const tonics = s.tonic ? s.notes : s.intervals;\n return modes(s.chroma)\n .map((chroma: string, i: number): ScaleMode => {\n const modeName = get(chroma).name;\n return modeName ? [tonics[i], modeName] : [\"\", \"\"];\n })\n .filter((x) => x[0]);\n}\n\nfunction getNoteNameOf(scale: string | string[]) {\n const names = Array.isArray(scale) ? scaleNotes(scale) : get(scale).notes;\n const chromas = names.map((name) => note(name).chroma);\n\n return (noteOrMidi: string | number): string | undefined => {\n const currNote =\n typeof noteOrMidi === \"number\"\n ? note(fromMidi(noteOrMidi))\n : note(noteOrMidi);\n const height = currNote.height;\n\n if (height === undefined) return undefined;\n const chroma = height % 12;\n const position = chromas.indexOf(chroma);\n if (position === -1) return undefined;\n return enharmonic(currNote.name, names[position]);\n };\n}\n\nexport function rangeOf(scale: string | string[]) {\n const getName = getNoteNameOf(scale);\n return (fromNote: string, toNote: string) => {\n const from = note(fromNote).height;\n const to = note(toNote).height;\n if (from === undefined || to === undefined) return [];\n\n return nums(from, to)\n .map(getName)\n .filter((x) => x);\n };\n}\n\n/**\n * Returns a function to get a note name from the scale degree.\n *\n * @example\n * [1, 2, 3].map(Scale.degrees(\"C major\")) => [\"C\", \"D\", \"E\"]\n * [1, 2, 3].map(Scale.degrees(\"C4 major\")) => [\"C4\", \"D4\", \"E4\"]\n */\nexport function degrees(scaleName: string | ScaleNameTokens) {\n const { intervals, tonic } = get(scaleName);\n const transpose = tonicIntervalsTransposer(intervals, tonic);\n return (degree: number) =>\n degree ? transpose(degree > 0 ? degree - 1 : degree) : \"\";\n}\n\n/**\n * Sames as `degree` but with 0-based index\n */\nexport function steps(scaleName: string | ScaleNameTokens) {\n const { intervals, tonic } = get(scaleName);\n return tonicIntervalsTransposer(intervals, tonic);\n}\n\n/** @deprecated */\nexport default {\n degrees,\n detect,\n extended,\n get,\n modeNames,\n names,\n rangeOf,\n reduced,\n scaleChords,\n scaleNotes,\n steps,\n tokenize,\n\n // deprecated\n scale,\n};\n"],"mappings":";AAKA,SAAS,OAAO,kBAAkB;AAClC,SAAS,SAAS,MAAM,cAAc;AACtC,SAAS,YAAY,UAAU,uBAAuB;AACtD;AAAA,EACE;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,OACK;AACP,SAAS,0BAA0B,iBAAiB;AACpD,SAAS,YAAsB;AAC/B;AAAA,EACE;AAAA,EACA,OAAO;AAAA,EAEP,SAAS;AAAA,EACT,OAAO;AAAA,OACF;AAWP,IAAM,UAAiB;AAAA,EACrB,OAAO;AAAA,EACP,MAAM;AAAA,EACN,MAAM;AAAA,EACN,OAAO;AAAA,EACP,QAAQ;AAAA,EACR,QAAQ;AAAA,EACR,YAAY;AAAA,EACZ,SAAS,CAAC;AAAA,EACV,OAAO,CAAC;AAAA,EACR,WAAW,CAAC;AACd;AAkBO,SAAS,SAAS,MAAkC;AACzD,MAAI,OAAO,SAAS,UAAU;AAC5B,WAAO,CAAC,IAAI,EAAE;AAAA,EAChB;AACA,QAAM,IAAI,KAAK,QAAQ,GAAG;AAC1B,QAAM,QAAQ,KAAK,KAAK,UAAU,GAAG,CAAC,CAAC;AACvC,MAAI,MAAM,OAAO;AACf,UAAM,IAAI,KAAK,IAAI;AACnB,WAAO,EAAE,QAAQ,CAAC,IAAI,KAAK,YAAY,CAAC,IAAI,CAAC,EAAE,MAAM,EAAE;AAAA,EACzD;AAEA,QAAM,OAAO,KAAK,UAAU,MAAM,KAAK,SAAS,CAAC,EAAE,YAAY;AAC/D,SAAO,CAAC,MAAM,MAAM,KAAK,SAAS,OAAO,EAAE;AAC7C;AAMO,IAAM,QAAQ;AAKd,SAAS,IAAI,KAAyC;AAC3D,QAAM,SAAS,MAAM,QAAQ,GAAG,IAAI,MAAM,SAAS,GAAG;AACtD,QAAM,QAAQ,KAAK,OAAO,CAAC,CAAC,EAAE;AAC9B,QAAM,KAAK,aAAa,OAAO,CAAC,CAAC;AACjC,MAAI,GAAG,OAAO;AACZ,WAAO;AAAA,EACT;AAEA,QAAM,OAAO,GAAG;AAChB,QAAM,QAAkB,QACpB,GAAG,UAAU,IAAI,CAAC,MAAM,UAAU,OAAO,CAAC,CAAC,IAC3C,CAAC;AAEL,QAAM,OAAO,QAAQ,QAAQ,MAAM,OAAO;AAE1C,SAAO,EAAE,GAAG,IAAI,MAAM,MAAM,OAAO,MAAM;AAC3C;AAMO,IAAM,QAAQ;AAEd,SAAS,OACd,OACA,UAAuD,CAAC,GAC9C;AACV,QAAM,cAAc,OAAO,KAAK;AAChC,QAAM,QAAQ,KAAK,QAAQ,SAAS,MAAM,CAAC,KAAK,EAAE;AAClD,QAAM,cAAc,MAAM;AAC1B,MAAI,gBAAgB,QAAW;AAC7B,WAAO,CAAC;AAAA,EACV;AAEA,QAAM,eAAe,YAAY,MAAM,EAAE;AACzC,eAAa,WAAW,IAAI;AAC5B,QAAM,cAAc,OAAO,aAAa,YAAY,EAAE,KAAK,EAAE;AAC7D,QAAM,QAAQ,IAAI,EAAE,KAAK,CAAC,cAAc,UAAU,WAAW,WAAW;AAExE,QAAM,UAAoB,CAAC;AAC3B,MAAI,OAAO;AACT,YAAQ,KAAK,MAAM,OAAO,MAAM,MAAM,IAAI;AAAA,EAC5C;AACA,MAAI,QAAQ,UAAU,SAAS;AAC7B,WAAO;AAAA,EACT;AAEA,WAAS,WAAW,EAAE,QAAQ,CAAC,cAAc;AAC3C,YAAQ,KAAK,MAAM,OAAO,MAAM,SAAS;AAAA,EAC3C,CAAC;AAED,SAAO;AACT;AAYO,SAAS,YAAY,MAAwB;AAClD,QAAM,IAAI,IAAI,IAAI;AAClB,QAAM,UAAU,WAAW,EAAE,MAAM;AACnC,SAAO,WAAW,EACf,OAAO,CAAC,UAAU,QAAQ,MAAM,MAAM,CAAC,EACvC,IAAI,CAAC,UAAU,MAAM,QAAQ,CAAC,CAAC;AACpC;AAWO,SAAS,SAAS,MAAwB;AAC/C,QAAMA,UAAS,SAAS,IAAI,IAAI,OAAO,IAAI,IAAI,EAAE;AACjD,QAAM,aAAa,aAAaA,OAAM;AACtC,SAAO,WAAW,EACf,OAAO,CAACC,WAAU,WAAWA,OAAM,MAAM,CAAC,EAC1C,IAAI,CAACA,WAAUA,OAAM,IAAI;AAC9B;AAaO,SAAS,QAAQ,MAAwB;AAC9C,QAAM,WAAW,WAAW,IAAI,IAAI,EAAE,MAAM;AAC5C,SAAO,WAAW,EACf,OAAO,CAACA,WAAU,SAASA,OAAM,MAAM,CAAC,EACxC,IAAI,CAACA,WAAUA,OAAM,IAAI;AAC9B;AAaO,SAAS,WAAW,OAAmB;AAC5C,QAAM,QAAkB,MAAM,IAAI,CAAC,MAAM,KAAK,CAAC,EAAE,EAAE,EAAE,OAAO,CAAC,MAAM,CAAC;AACpE,QAAM,QAAQ,MAAM,CAAC;AACrB,QAAMA,SAAQ,gBAAgB,KAAK;AACnC,SAAO,OAAOA,OAAM,QAAQ,KAAK,GAAGA,MAAK;AAC3C;AAiBO,SAAS,UAAU,MAA2B;AACnD,QAAM,IAAI,IAAI,IAAI;AAClB,MAAI,EAAE,OAAO;AACX,WAAO,CAAC;AAAA,EACV;AAEA,QAAM,SAAS,EAAE,QAAQ,EAAE,QAAQ,EAAE;AACrC,SAAO,MAAM,EAAE,MAAM,EAClB,IAAI,CAACD,SAAgB,MAAyB;AAC7C,UAAM,WAAW,IAAIA,OAAM,EAAE;AAC7B,WAAO,WAAW,CAAC,OAAO,CAAC,GAAG,QAAQ,IAAI,CAAC,IAAI,EAAE;AAAA,EACnD,CAAC,EACA,OAAO,CAAC,MAAM,EAAE,CAAC,CAAC;AACvB;AAEA,SAAS,cAAcC,QAA0B;AAC/C,QAAMC,SAAQ,MAAM,QAAQD,MAAK,IAAI,WAAWA,MAAK,IAAI,IAAIA,MAAK,EAAE;AACpE,QAAM,UAAUC,OAAM,IAAI,CAAC,SAAS,KAAK,IAAI,EAAE,MAAM;AAErD,SAAO,CAAC,eAAoD;AAC1D,UAAM,WACJ,OAAO,eAAe,WAClB,KAAK,SAAS,UAAU,CAAC,IACzB,KAAK,UAAU;AACrB,UAAM,SAAS,SAAS;AAExB,QAAI,WAAW,OAAW,QAAO;AACjC,UAAMF,UAAS,SAAS;AACxB,UAAM,WAAW,QAAQ,QAAQA,OAAM;AACvC,QAAI,aAAa,GAAI,QAAO;AAC5B,WAAO,WAAW,SAAS,MAAME,OAAM,QAAQ,CAAC;AAAA,EAClD;AACF;AAEO,SAAS,QAAQD,QAA0B;AAChD,QAAM,UAAU,cAAcA,MAAK;AACnC,SAAO,CAAC,UAAkB,WAAmB;AAC3C,UAAM,OAAO,KAAK,QAAQ,EAAE;AAC5B,UAAM,KAAK,KAAK,MAAM,EAAE;AACxB,QAAI,SAAS,UAAa,OAAO,OAAW,QAAO,CAAC;AAEpD,WAAO,KAAK,MAAM,EAAE,EACjB,IAAI,OAAO,EACX,OAAO,CAAC,MAAM,CAAC;AAAA,EACpB;AACF;AASO,SAAS,QAAQ,WAAqC;AAC3D,QAAM,EAAE,WAAW,MAAM,IAAI,IAAI,SAAS;AAC1C,QAAME,aAAY,yBAAyB,WAAW,KAAK;AAC3D,SAAO,CAAC,WACN,SAASA,WAAU,SAAS,IAAI,SAAS,IAAI,MAAM,IAAI;AAC3D;AAKO,SAAS,MAAM,WAAqC;AACzD,QAAM,EAAE,WAAW,MAAM,IAAI,IAAI,SAAS;AAC1C,SAAO,yBAAyB,WAAW,KAAK;AAClD;AAGA,IAAO,gBAAQ;AAAA,EACb;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA,EACA;AAAA;AAAA,EAGA;AACF;","names":["chroma","scale","names","transpose"]}