---------------------------- Original Message ----------------------------

Subject: [music-dsp] Build waveform sample array from array of harmonic 
strengths?

From: "Frank Sheeran" <fshee...@gmail.com>

Date: Sun, April 15, 2018 2:55 pm

To: music-dsp@music.columbia.edu

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> I'm currently just looping and calling sin() a lot. I use trivial 4-way

> symmetry of sin() and build a "mipmap" of progressively octave-higher

> versions of a wave, to play for higher notes, by copying samples off the

> lowest-frequency waveform. That still is only 8x faster than the naive way

> to do it.

>

> I know in theory that a FFT or DFT will turn a CONTINUOUS graph of

> frequency into a graph of time, and vice versa, but if I don't have a a

> continuous graph of frequency but rather an array of strengths, can I still

> use it?

>

> I thought of making a continuous graph of frequency from my harmonics, but

> 1) sounds quite imprecise and 2) I note real FFT graphs have smooth "hills"

> where harmonics are, rather than point peaks, and am wondering whether I'd

> get expected output if I didn't generate those hills.



are you making wavetables, Frank?� is that what you're doing?


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