整理：用matlab创作歌曲（一）

小灰灰 2022-06-18 07:40 280阅读 0赞

前两天在网上看到了有人用matlab演奏出最炫民族风，用了这么多年matlab还是第一次知道有这种玩法，于是把他的代码研究了一下,自己制作了一首歌曲，在这里分享一下。

首先介绍matlab函数的玩法：

matlab播放音乐是由sound(Y,fs,bits)函数完成的，该函数的3个参数代表输入信号、采样率、比特率。先说采样率fs的设置，人耳能够听到的声音范围是20~20000Hz。根据采样定理fs只需要大于40000即可。此处采样率的设置采用了MP3的标准，即fs=44.1k.再说输入信号Y，Y一般是一个正弦波，如A\*sin（2\*pi\*w\*t)。其中A控制着声音的大小，w控制着声音的高低，t的范围控制着声音的长短，所以理论上利用这个公式可以发出任何声音，只是不能控制音色和音质（音色音质很难用参数量化，我问了一下学语音的同学，这个东西跟音频谱重心，音频扩展度和音频谱平坦度有关系，这里不作讨论）。比特率采用默认值即可，该参数省略。

于是用下面的公式就可以播放出标准音la:(座机电话提示音就是la，可以用来调吉他)

fs=44100;

t=0: 1/fs: 0.5;

la = sin(2\*pi\*440\*t); （下文介绍440是怎么来的）

sound(la, fs)

下面介绍一下简单乐理：

看过柯南的同学都知道，音高和频率是指数的关系，它们满足下面的公式，其中p是音高，f是频率

[![Image 1][]][Image 1 1]

标准音la,即钢琴的A4键，定义为p=69。音高每上升一个半音，p加1。

[![Image 1][]][Image 1 2]

如上图所示，从C4到B4分别对应着do re mi fa sol la xi，它们的p值分别为 60 62 64 65 67 69 71，注意中间有黑键，你也可以根据下表来查询某个音的频率。

<table style="margin:0px; padding:0px; line-height:20px; color:rgb(51,51,51); font-family:'Trebuchet Ms','Bitstream Vera serif',Utopia,'Times new roman',times"> 
 <tbody> 
 <tr> 
 <th colspan="11" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif"> Frequency in hertz (semitones above or below middle C)</th> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">Octave→ Note↓</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">0</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">1</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">2</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">3</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">4</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">5</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">6</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">7</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">8</th> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">9</th> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">C</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 16.352 (−48)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 32.703 (−36)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 65.406 (−24)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 130.81 (−12)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 261.63 (0)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 523.25 (+12)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1046.5 (+24)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2093.0 (+36)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 4186.0 (+48)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 8372.0 (+60)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">C♯/D♭</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 17.324 (−47)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 34.648 (−35)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 69.296 (−23)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 138.59 (−11)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 277.18 (+1)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 554.37 (+13)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1108.7 (+25)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2217.5 (+37)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 4434.9 (+49)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 8869.8 (+61)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">D</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 18.354 (−46)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 36.708 (−34)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 73.416 (−22)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 146.83 (−10)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 293.66 (+2)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 587.33 (+14)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1174.7 (+26)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2349.3 (+38)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 4698.6 (+50)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 9397.3 (+62)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">D♯/E♭</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 19.445 (−45)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 38.891 (−33)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 77.782 (−21)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 155.56 (−9)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 311.13 (+3)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 622.25 (+15)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1244.5 (+27)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2489.0 (+39)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 4978.0 (+51)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 9956.1 (+63)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">E</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 20.602 (−44)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 41.203 (−32)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 82.407 (−20)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 164.81 (−8)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 329.63 (+4)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 659.26 (+16)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1318.5 (+28)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2637.0 (+40)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 5274.0 (+52)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 10548 (+64)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">F</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 21.827 (−43)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 43.654 (−31)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 87.307 (−19)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 174.61 (−7)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 349.23 (+5)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 698.46 (+17)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1396.9 (+29)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2793.8 (+41)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 5587.7 (+53)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 11175 (+65)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">F♯/G♭</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 23.125 (−42)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 46.249 (−30)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 92.499 (−18)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 185.00 (−6)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 369.99 (+6)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 739.99 (+18)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1480.0 (+30)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 2960.0 (+42)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 5919.9 (+54)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 11840 (+66)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">G</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 24.500 (−41)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 48.999 (−29)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 97.999 (−17)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 196.00 (−5)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 392.00 (+7)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 783.99 (+19)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1568.0 (+31)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 3136.0 (+43)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 6271.9 (+55)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 12544 (+67)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">G♯/A♭</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 25.957 (−40)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 51.913 (−28)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 103.83 (−16)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 207.65 (−4)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 415.30 (+8)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 830.61 (+20)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1661.2 (+32)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 3322.4 (+44)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 6644.9 (+56)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 13290 (+68)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">A</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 27.500 (−39)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 55.000 (−27)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 110.00 (−15)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 220.00 (−3)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 440.00 (+9)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 880.00 (+21)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1760.0 (+33)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 3520.0 (+45)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 7040.0 (+57)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 14080 (+69)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">A♯/B♭</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 29.135 (−38)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 58.270 (−26)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 116.54 (−14)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 233.08 (−2)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 466.16 (+10)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 932.33 (+22)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1864.7 (+34)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 3729.3 (+46)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 7458.6 (+58)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 14917 (+70)</td> 
 </tr> 
 <tr> 
 <th style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif">B</th> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 30.868 (−37)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 61.735 (−25)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 123.47 (−13)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 246.94 (−1)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 493.88 (+11)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 987.77 (+23)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 1975.5 (+35)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 3951.1 (+47)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 7902.1 (+59)</td> 
 <td align="center" style="margin:0px; padding:0px; font-family:Verdana,宋体,sans-serif; line-height:18px"> 15804 (+71)</td> 
 </tr> 
 </tbody> 
</table>

有了上面的基础，下面就可以用matlab创作歌曲了，这里以李健的传奇作为示例：

clc

clear

fs=44100;

t=0:1/fs:0.5;

e3\_2=key(52, 2, fs); %表示2分音符的e3

a3\_2=key(57, 2, fs);

c4\_2=key(60, 2, fs);

e4\_2=key(52, 2, fs);

g3\_2=key(55, 2, fs);

d4\_2=key(62, 2, fs);

e4\_2=key(64, 2, fs);

g4\_2=key(67, 2, fs);

e4\_4=key(52, 4, fs);

g3\_4=key(55, 4, fs);

a3\_4=key(57, 4, fs);

b3\_4=key(59, 4, fs);

c4\_4=key(60, 4, fs);

d4\_4=key(62, 4, fs);

e4\_4=key(64, 4, fs);

f4\_4=key(65, 4, fs);

g4\_4=key(67, 4, fs);

a4\_4=key(69, 4, fs);

e3\_8=key(52, 8, fs);

g3\_8=key(55, 8, fs);

a3\_8=key(57, 8, fs);

b3\_8=key(59, 8, fs);

c4\_8=key(60, 8, fs);

d4\_8=key(62, 8, fs);

e4\_8=key(64, 8, fs);

f4\_8=key(65, 8, fs);

g4\_8=key(67, 8, fs);

a4\_8=key(69, 8, fs);

b4\_8=key(71, 8, fs);

part1=\[c4\_8 c4\_8 c4\_4 e4\_4 d4\_4 d4\_8 d4\_4 c4\_4 c4\_8\];

part2=\[d4\_4 d4\_4 c4\_8 a3\_8 a3\_2\];

part3=\[b3\_8 b3\_8 b3\_4 c4\_8 d4\_8 d4\_4\];

part4=\[b3\_4 a3\_8 g3\_4 e3\_8 e3\_2 e3\_2\];

part5=\[e4\_8 d4\_8 e4\_4 d4\_8 d4\_8 d4\_4 d4\_8 c4\_8 c4\_2    d4\_4 a3\_4 a3\_8 a3\_8 d4\_8 c4\_8 c4\_2\];

part6=\[d4\_4 a3\_8 g3\_4 g3\_8 e3\_2 e3\_2\];

part7=\[g4\_4 g4\_8 d4\_8 d4\_4 e4\_4 g4\_4 g4\_8 d4\_8 d4\_4 c4\_4 a3\_2 a3\_2\];

part8=\[d4\_4 d4\_8 a3\_8 a3\_4 e4\_4 d4\_4 d4\_8 c4\_8 c4\_4\];

part9=\[c4\_8 c4\_8 c4\_4 g3\_8 c4\_8 c4\_4 g4\_4 f4\_4 e4\_4 d4\_4 d4\_8 c4\_8 c4\_2 c4\_4\];

part10=\[c4\_8 e4\_8 g4\_8 a4\_4 g4\_8 a4\_4 g4\_4 g4\_8 a4\_4\];

para1=\[part1 part2 part3 part4\];

para2=\[part5 part3 part6\];

para3=\[part7 part8 c4\_4 g3\_2 g3\_2\];

para4=\[part7 part8 c4\_8 d4\_8 d4\_2 d4\_2\];

para5=\[part9 part10 g4\_8 e4\_8 e4\_8 d4\_4 e4\_8 e4\_2\];

para6=\[part9 part10 g4\_4 e4\_8 g4\_4 g4\_8 g4\_2\];

legend=\[para1 para2 para3 para4 para5 para6\];

sound(legend,fs)

其中有两个函数：

function g=key(p, n, fs)

t=0 : 1/fs : 2/n;

g=sin(2\*pi\* fre(p) \*t);

function f = fre(p)

f=440\*2^((p-69)/12);

谢谢收听

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