Sat down with a guitar tuner and my DN today and wrote down all the corresponding musical intervals for each whole number ratio. Hope this helps you understand what harmonics you’re adding when dialing in patches. If I made any mistakes let me know and I’ll correct this post
Since the ratios don’t perfectly correspond with the pitches (I think this is an equal temperament thing?) I’ve included how far off in cents some of the intervals are. Any without are within +/- 5 cents of the actual note.
Setup one of the pairs with the ratios in the list (start with fifth or octaves as it’s easy to hear).
X-Y slider all the way left or right depending on what pair you are listening to.
Then experiment with blending intervals on each pair by placing the x-y centre and choosing an appropriate algo that lets you blend/hear distinct pairs. (Algo 7 is your friend, turn down all envelope levels on syn2 so you can hear just the intervals).
Works a treat - especially when you apply a bit of feeeback too and experiment with the harmonic shapes - then add chord mode on top for extra thickness
@plusone are you sure about the second operators in those ratios? I thought n:1, where n=1…16, is just the overtone series, and that, for example, 3:2 is the frequency ratio corresponding to a perfect 5th and 5:4 to a major 3rd.
You could achieve a bunch of these by using the ratio offsets on Digitone. (Which didn’t exist when this thread was created)
Another way to think of it is that the ratios (as in the parameters) are really just multiplicators of the base frequency - usually the MIDI note being played. So if a ratio of 1 is C, then 1.4983 is a G - you’ve multiplied C (e.g 261.625[…] Hz for a middle C) with 1.4983
I find this stuff extremely fun - it’s actually how I came up with the concept for the Chord machine in Cycles.
