Wavetable synthesis - Synthesizing a chord - periodic wave wavetable creation

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);
```
I know that `air_pressure=sin(2pi·frequency·time)` represents the standard `oscillator.type="sine"`
therefore the wavetable for sine would be:
```
real = [0, 0], imaginary = [0, 1];
```

I want my oscillator to sound the 'frequency' frequency and the sound major third above it at the same time i.e. `'frequency'·2^(4/12)'`, then

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

How should the wavetable look like now?
Should I transform to fourier series to get the equation in form of

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)?

How should I do it?
or is there an easier way?

Note: I don't want to create multiple oscillators, I want to set custom type of single oscillator to achieve poliphony
```
/*'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();
```

Answer 1

please share your code using code playground and not the question description