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<span class="cline-any cline-neutral">&nbsp;</span></td><td class="text"><pre class="prettyprint lang-js">/**
 * @file 音高工具函数
 * @description 提供音高相关的计算和转换
 */
&nbsp;
import { StepName, AlterationType } from '../models/types';
&nbsp;
/**
 * 音名到半音的映射（以 C 为 0）
 */
const STEP_TO_SEMITONE: Record&lt;StepName, number&gt; = {
  'C': 0, 'D': 2, 'E': 4, 'F': 5, 'G': 7, 'A': 9, 'B': 11
};
&nbsp;
/**
 * 半音到音名的映射（只考虑自然音）
 */
const SEMITONE_TO_STEP: StepName[] = ['C', 'C', 'D', 'D', 'E', 'F', 'F', 'G', 'G', 'A', 'A', 'B'];
&nbsp;
/**
 * 半音到音名是否需要升号
 */
const SEMITONE_NEEDS_SHARP: boolean[] = [false, true, false, true, false, false, true, false, true, false, true, false];
&nbsp;
/**
 * 简谱数字到音名的映射（C大调）
 */
const JIANPU_TO_STEP: StepName[] = ['C', 'D', 'E', 'F', 'G', 'A', 'B'];
&nbsp;
/**
 * 音名到简谱数字的映射
 */
const STEP_TO_JIANPU: Record&lt;StepName, number&gt; = {
  'C': 1, 'D': 2, 'E': 3, 'F': 4, 'G': 5, 'A': 6, 'B': 7
};
&nbsp;
/**
 * 计算 MIDI 音高值
 * @param step 音名
 * @param octave 八度
 * @param alter 升降
 * @returns MIDI 音高 (0-127)
 */
export function getMidiPitch(step: StepName, octave: number, alter: number = 0): number {
  return (octave + 1) * 12 + STEP_TO_SEMITONE[step] + alter;
}
&nbsp;
/**
 * 从 MIDI 音高获取音名和八度
 * @param midi MIDI 音高
 * @param preferSharp 优先使用升号（否则用降号）
 * @returns 音名、八度、升降
 */
export function fromMidiPitch(
  midi: number, 
  preferSharp: boolean = true
): { step: StepName; octave: number; alter: AlterationType } {
  const octave = Math.floor(midi / 12) - 1;
  const semitone = midi % 12;
  const step = SEMITONE_TO_STEP[semitone];
  
  let alter: AlterationType = 0;
  if (SEMITONE_NEEDS_SHARP[semitone]) {
    if (preferSharp) {
      alter = 1;
    } else {
      // 使用降号，音名需要往上一个
      const nextStep = SEMITONE_TO_STEP[(semitone + 1) % 12];
      return { step: nextStep, octave, alter: -1 };
    }
  }
  
  return { step, octave, alter };
}
&nbsp;
/**
 * 计算两个音高之间的半音距离
 * @param step1 音名1
 * @param octave1 八度1
 * @param alter1 升降1
 * @param step2 音名2
 * @param octave2 八度2
 * @param alter2 升降2
 * @returns 半音距离（正数表示 2 比 1 高）
 */
export function getSemitoneDistance(
  step1: StepName, octave1: number, alter1: number,
  step2: StepName, octave2: number, alter2: number
): number {
  const midi1 = getMidiPitch(step1, octave1, alter1);
  const midi2 = getMidiPitch(step2, octave2, alter2);
  return midi2 - midi1;
}
&nbsp;
/**
 * 移调
 * @param step 音名
 * @param octave 八度
 * @param alter 升降
 * @param semitones 半音数（正数升调，负数降调）
 * @param preferSharp 优先使用升号
 * @returns 新的音高
 */
export function transpose(
  step: StepName, 
  octave: number, 
  alter: number, 
  semitones: number,
  preferSharp: boolean = true
): { step: StepName; octave: number; alter: AlterationType } {
  const midi = getMidiPitch(step, octave, alter) + semitones;
  return fromMidiPitch(midi, preferSharp);
}
&nbsp;
/**
 * 获取简谱数字（固定调）
 * @param step 音名
 * @returns 1-7
 */
export function getJianpuNumberFixed(step: StepName): number {
  return STEP_TO_JIANPU[step];
}
&nbsp;
/**
 * 获取简谱数字（首调）
 * @param step 音名
 * @param alter 升降
 * @param keyFifths 调号的五度圈位置
 * @returns 1-7
 */
export function getJianpuNumberMovable(
  step: StepName, 
  alter: number, 
  keyFifths: number
): number {
  // 获取调号的主音
  const keyTonic = getKeyTonic(keyFifths);
  
  // 计算当前音相对于主音的半音数
  const currentSemitone = STEP_TO_SEMITONE[step] + alter;
  const tonicSemitone = STEP_TO_SEMITONE[keyTonic.step] + (keyTonic.alter ?? 0);
  
  // 相对半音数（0-11）
  let relativeSemitone = (currentSemitone - tonicSemitone + 12) % 12;
  
  // 半音到简谱的映射（大调音阶）
  const semitoneToJianpu: Record&lt;number, number&gt; = {
    0: 1, 2: 2, 4: 3, 5: 4, 7: 5, 9: 6, 11: 7
  };
  
  // 如果不在大调音阶上，找最近的
  if (semitoneToJianpu[relativeSemitone] !== undefined) {
    return semitoneToJianpu[relativeSemitone];
<span class="branch-0 cbranch-no" title="branch not covered" >  }</span>
<span class="cstat-no" title="statement not covered" >  </span>
<span class="cstat-no" title="statement not covered" >  // 变化音，返回相邻的自然音</span>
<span class="cstat-no" title="statement not covered" >  const lowerSemitones = [0, 0, 2, 2, 4, 5, 5, 7, 7, 9, 9, 11];</span>
<span class="cstat-no" title="statement not covered" >  return semitoneToJianpu[lowerSemitones[relativeSemitone]];</span>
<span class="cstat-no" title="statement not covered" >}</span>
&nbsp;
/**
 * 获取调号的主音
 * @param fifths 五度圈位置 (-7 到 +7)
 * @returns 主音的音名和升降
 */
export function getKeyTonic(fifths: number): { step: StepName; alter?: number } {
  // 五度圈顺序
  const fifthsToTonic: Record&lt;number, { step: StepName; alter?: number }&gt; = {
    [-7]: { step: 'C', alter: -1 },  // Cb
    [-6]: { step: 'G', alter: -1 },  // Gb
    [-5]: { step: 'D', alter: -1 },  // Db
    [-4]: { step: 'A', alter: -1 },  // Ab
    [-3]: { step: 'E', alter: -1 },  // Eb
    [-2]: { step: 'B', alter: -1 },  // Bb
    [-1]: { step: 'F' },             // F
    [0]:  { step: 'C' },             // C
    [1]:  { step: 'G' },             // G
    [2]:  { step: 'D' },             // D
    [3]:  { step: 'A' },             // A
    [4]:  { step: 'E' },             // E
    [5]:  { step: 'B' },             // B
    [6]:  { step: 'F', alter: 1 },   // F#
    [7]:  { step: 'C', alter: 1 },   // C#
  };
  return fifthsToTonic[fifths<span class="branch-0 cbranch-no" title="branch not covered" >] ?? { step: 'C' };</span>
}
&nbsp;
/**
 * 获取调号中的升降号音名
 * @param fifths 五度圈位置
 * @returns 带升降号的音名数组
 */
export function getKeyAlterations(fifths: number): { step: StepName; alter: number }[] {
  const result: { step: StepName; alter: number }[] = [];
  
  if (fifths &gt; 0) {
    // 升号调，按 F C G D A E B 顺序
    const sharpOrder: StepName[] = ['F', 'C', 'G', 'D', 'A', 'E', 'B'];
    for (let i = 0; i &lt; fifths &amp;&amp; i &lt; 7; i++) {
      result.push({ step: sharpOrder[i], alter: 1 });
    }
  } else if (fifths &lt; 0) {
    // 降号调，按 B E A D G C F 顺序
    const flatOrder: StepName[] = ['B', 'E', 'A', 'D', 'G', 'C', 'F'];
    for (let i = 0; i &lt; -fifths &amp;&amp; i &lt; 7; i++) {
      result.push({ step: flatOrder[i], alter: -1 });
    }
  }
  
  return result;
}
&nbsp;
/**
 * 检查音符是否在调内
 * @param step 音名
 * @param alter 升降
 * @param fifths 五度圈位置
 * @returns 是否在调内
 */
export function isInKey(step: StepName, alter: number, fifths: number): boolean {
  const keyAlterations = getKeyAlterations(fifths);
  const keyAlterMap = new Map(keyAlterations.map(a =&gt; [a.step, a.alter]));
  
  const expectedAlter = keyAlterMap.get(step) ?? 0;
  return alter === expectedAlter;
}
&nbsp;
/**
 * 获取调内某个音级的音符
 * @param scaleDegree 音级 (1-7)
 * @param fifths 五度圈位置
 * @param octave 八度
 * @returns 音名、八度、升降
 */
export function getScaleDegree(
  scaleDegree: number, 
  fifths: number, 
  octave: number
): { step: StepName; octave: number; alter: number } {
  const tonic = getKeyTonic(fifths);
  const tonicIndex = ['C', 'D', 'E', 'F', 'G', 'A', 'B'].indexOf(tonic.step);
  
  // 计算音名
  const degreeIndex = (tonicIndex + scaleDegree - 1) % 7;
  const step = ['C', 'D', 'E', 'F', 'G', 'A', 'B'][degreeIndex] as StepName;
  
  // 计算八度偏移
  let oct = octave;
  if (tonicIndex + scaleDegree - 1 &gt;= 7) {
    oct += 1;
  }
  
  // 获取调内升降号
  const keyAlterations = getKeyAlterations(fifths);
  const alter = keyAlterations.find(a =&gt; a.step === step)?.alter ?? 0;
  
  return { step, octave: oct, alter };
}
&nbsp;
/**
 * 比较两个音高
 * @param a 音高 a
 * @param b 音高 b
 * @returns 负数表示 a &lt; b，0 表示相等，正数表示 a &gt; b
 */
export function comparePitch(
  a: { step: StepName; octave: number; alter?: number },
  b: { step: StepName; octave: number; alter?: number }
): number {
  const midiA = getMidiPitch(a.step, a.octave, a.alter ?? 0);
  const midiB = getMidiPitch(b.step, b.octave, b.alter ?? 0);
  return midiA - midiB;
}
&nbsp;
/**
 * 获取音高的字符串表示
 * @param step 音名
 * @param octave 八度
 * @param alter 升降
 * @returns 如 "C4", "F#5", "Bb3"
 */
export function pitchToString(step: StepName, octave: number, alter: number = 0): string {
  let alterStr = '';
  if (alter === 1) alterStr = '#';
  else if (alter === -1) alterStr = 'b';
  else if (alter === 2) alterStr = '##';
  else if (alter === -2) alterStr = 'bb';
  
  return `${step}${alterStr}${octave}`;
}
&nbsp;
/**
 * 从字符串解析音高
 * @param str 如 "C4", "F#5", "Bb3"
 * @returns 音名、八度、升降
 */
export function parsePitchString(str: string): { step: StepName; octave: number; alter: number } {
  const match = str.match(/^([A-G])(#{1,2}|b{1,2})?(-?\d+)$/i);
  if (!match) {
    throw new Error(`Invalid pitch string: ${str}`);
  }
  
  const step = match[1].toUpperCase() as StepName;
  const alterStr = match[2] || '';
  const octave = parseInt(match[3], 10);
  
  let alter = 0;
  if (alterStr === '#') alter = 1;
  else if (alterStr === '##') alter = 2;
  else if (alterStr === 'b') alter = -1;
  else if (alterStr === 'bb') alter = -2;
  
  return { step, octave, alter };
}
&nbsp;
/**
 * 获取音程名称
 * @param semitones 半音数
 * @returns 音程名称
 */
export function getIntervalName(semitones: number): string {
  const intervals: Record&lt;number, string&gt; = {
    0: '纯一度', 1: '小二度', 2: '大二度', 3: '小三度',
    4: '大三度', 5: '纯四度', 6: '增四度/减五度', 7: '纯五度',
    8: '小六度', 9: '大六度', 10: '小七度', 11: '大七度',
    12: '纯八度'
  };
  
  const absSemitones = Math.abs(semitones);
  const octaves = Math.floor(absSemitones / 12);
  const remainder = absSemitones % 12;
  
  let name = intervals[remainder<span class="branch-0 cbranch-no" title="branch not covered" >] ?? `${remainder}半音`;</span>
  if (octaves &gt; 0) {
    name = `${octaves}个八度 + ${name}`;
  }
  
  return semitones &lt; 0 ? `下行${name}` : name;
}
&nbsp;</pre></td></tr></table></pre>

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