This question might sound rather strange, but i'll try to explain as good as i can.

For my latest synth i'm trying to implement a system to transpose a chord to different positions within an octave. What i've done so far is create a system to equally divide the octave. For this i use the following formula. Given a base frequency f and a position within the octave p, i calculate the new frequency nf as follows :

nf = f * (1 + (1 / 12 * p))

This sounds nice but rather enharmonic.

So, what i'm looking for is a formula to obtain a chromatic division of the octave. Once i have that i can start modulating between those two formulas.

Any help would be appreciated.

Domien

try:

f' = f * pow(2, t/d)

where:

f = original frequency
t = transposition in steps (can be negative too)
d = number of steps per octave (try 12 for the standard western equal temperament)
f' = transposed frequency

why not just use [mtof] ? unless you want to use something other than the standard midi/western tunings of course.

Yep, that's what i'm trying to do. I've got a chord arpeggiator. For the chords played with the keyboard i use [mtof] but for the arpeggiation part i play with the frequencies. Now i can modulate between chromatic and equal division, which can yield some very nice harmonies.

cool. plz post when you get it done.