On 15/04/18 20:55, Frank Sheeran wrote:
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?

this sounds a lot like FFT-1 by Freed, Rodet, Depalle:

I thought of making a continuous graph of frequency from my harmonics, but 1) sounds quite imprecise

nope, since you also have to provide the phase

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.


Diemo Schwarz, PhD -- http://diemo.concatenative.net
Sound–Music–Movement Interaction Team -- http://ismm.ircam.fr
IRCAM - Centre Pompidou -- 1, place Igor-Stravinsky, 75004 Paris, France
Phone +33-1-4478-4879 -- Fax +33-1-4478-1540
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