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[sc-users] Re: midicps



Thanks for the great explanation. Now I get it.


Linear ("additive") changes in MIDI pitch (note numbers) result in 

exponential ("multiplicative") changes in frequency (Hz).  Adding 12 to 

a note multiplies the frequency by 2.


If you have a straight line in (note, time) and do .midicps on all the 

points, you get a curve in (freq, time), but if you do .midicps on just 

the end points first, you get a straight line in (freq, time).


If you're an algebraist, (note, +) is isomorphic to (freq, *):


http://en.wikipedia.org/wiki/Isomorphism#An_operation-preserving_isomorphism