[HAM] The beauty of Tonewheels - an alternate view

[Drew Hoelscher]

I could hear some of them (sometimes) when I was younger (around 1 to 2 
cents variation in frequency).  Don't know if I can hear it now.  But at 
the Interlochen Arts Academy and the U of M, there were musicians 
(especially string players and some singers) who could hear down in the 
1/2 cent range (the resultant beat frequencies).  I think tuning (minor 
variations) does make a difference in our perception of the total 
instrument sound.

Your tonewheel synthesis engine...am I correct in assuming that it's 
software?

- Drew


pj geerlings wrote:
> FWIW, here are the Hammond ratios according to the Scala Archive.
>
>  C#   71.0/82.0   -2.03
>  D     67.0/73.0   +0.66
>  Eb   35.0/36.0   +0.71
>  E     69.0/67.0   +0.66
>  F    12.0/11.0    -1.63
>  F#   37.0/32.0   +0.01
>  G    49.0/40.0    +1.67
>  G#   48.0/37.0  -1.63
>  A    11.0/8.0     +0.66
>  Bb   67.0/46.0   +0.71
>  B    54.0/35.0   -0.04
>  C    85.0/52.0   +0.25
>
> The signed numbers to the right are the errors (in cents) from what the 
> ratio "should" be - it is pretty darn close to 12 tone equal!
>
> I did quite a lot of research before designing my Tonewheel synthesis 
> engine. I did include the above tuning just for purists ;)
>
> peace,
> pj geerlings
> nubi3.com
>