start phase of an operator

[matrix12x]

Is there a way to modulate the starting phase of an operator?


I thought about maybe using an envelope to modulate the pitch of the operator slightly to cause a phase shift.

[Xavier]

The starting phase of operators cannot be modulated.
It is set to a quarter of the period, so that it starts when the sinusoid  value is 1, to allow faster attack.
See the '* 0.25' here
https://github.com/Ixox/preenfm2/blob/master/src/synth/Osc.cpp?ts=4#L178

I don't understand your second sentence.

[matrix12x]

Thank you.

I could be clearer on my second sentence.

Let's assume two sin waves are at the same phase, 𝜙0, at 𝑡=0  and you change the frequency of one of them at exactly that time, for example by 1 HZ, my understanding is that the phase difference between them is a function of time and the difference between the two frequencies. 𝜓(𝑡)=𝜙1(𝑡)−𝜙2(𝑡)=2𝜋(𝑓1−𝑓2)𝑡

So, I had wanted to sort of fake PWM by overlaying two saw waves, one positive, one negative at different phases to make a pulse wave when the two waveforms are offset at like 90 degrees (a 25% pulse wave) or more. And I was thinking that using a pitch envelope to modulate the pitch of the second operator to make a pseudo PWM.

[Xavier]

Still a bit confusing 
But if what you're after is to modulate the starting phase of operator wave, you won't have that.
Modifying the pitch/frequency of each operator can be done in the matrix. But i think you know that