波表合成-合成弦-周期波波表创建

Question

//I'm instantiating AudioContext
var audio_context = new AudioContext();
//creating oscillator
var oscillator = audio_context.createOscillator();
//hooking up the oscillator
oscillator.connect(audio_context.destination);

我知道air_pressure=sin(2pi·frequency·time)代表标准oscillator.type="sine" 因此，正弦波的波形表为：

real = [0, 0], imaginary = [0, 1];

我希望我的振荡器同时发出“频率”频率和高于其的大三分音，即'frequency'·2^(4/12)'，然后

air_pressure=sin(2pi·frequency·time)+sin(2pi·2^(4/12)·frequency·time)

波表现在应该是什么样？ 我是否应该转换成傅立叶级数以得到形式为

的方程

air_pressure=a_0·cos(0)+b_0·sin(0)+a_1·cos(1)+b_1·sin(1)+a_2·cos(2)+b_2·sin(2)+...+a_n·cos(n)+b_n·sin(n)?

我应该怎么做？ 还是有更简单的方法？

注意：我不想创建多个振荡器，我想设置单个振荡器的自定义类型来实现策略性

/*'real' is an array of cosine coefficients,
 'imaginary is an array of sine coefficients in Fourier series representation of a soundwave */
var wave = audio_context.createPeriodicWave(real, imaginary);
//setting custom type of the oscillator:
oscillator.setPeriodicWave(wave);
//frequency manipulation:
oscillator.frequency.value = 110;
//making the oscillator sound:
oscillator.start();