Re: Fwd: Any equal temperament.

--- In MicroMadeEasy@yahoogroups.com, "robert thomas martin"
<robertthomasmartin@...> wrote:

--- In MicroMadeEasy@yahoogroups.com, "robert thomas martin"
<robertthomasmartin@> wrote:
>
> --- In MicroMadeEasy@...m, "robert thomas martin"
> <robertthomasmartin@> wrote:
> >
> > --- In tuning@yahoogroups.com, "robertthomasmartin"
> > <robertthomasmartin@> wrote:
> >
> > Choose any interval in cents and stack them so that they line up
> with
> > the cycle of 5ths. For example choose 736cents in 44tet. This
> produces
> > C=0, G=736, D=273, A=1009, E=545, B=82, F#=818, C#=355, Ab=1091,
> > Eb=627, Bb=164 and F=900cents. This might seem illogical but this
> > tuning and others like it can be implemented using a Kurzweil. Bb
> is
> > tuned up 364cents and F is tuned up 400cents etc. Any reasonable
> > interval between 0 and 1200cents can be chosen to begin with.
> Intervals
> > can also be stacked against the ascending chromatic scale where
> C=0,
> > C#=736, D=273, Eb=1009 etc. Ascending 4ths and the descending
> chromatic
> > scale can also be used. This group of four related musical
> algorithms
> > can be used to explore or just to have fun. Simply tune the
> Kurzweil to
> > the desired tuning and play midi files of pre-existing music.
> Classical
> > piano midi files played with a vibraphone timbre sound quite good.
> >
> > --- End forwarded message ---
> >
> Some substitutes for cycle of 5ths and ascending chromatic:
> 1. C-C#-D-Eb-E-F-F#-G-Ab-A-Bb-B
> 2. C-D-E-F#-G-A-B-C#-Eb-F-Ab-Bb
> 3. C-E-G-B-C#-F-Bb-D-F#-A-Eb-Ab
> 4. C-G-C#-Bb-D-A-Ab-E-B-F-F#-Eb
> 5. C-C#-D-Ab-E-F-Eb-G-Bb-A-B-F#
> 6. C-D-E-Eb-G-A-F#-C#-Ab-F-Bb-B
> 7. C-E-G-F#-C#-F-B-D-Eb-A-Ab-Bb
> 8. C-G-C#-B-D-A-Bb-E-F#-F-Eb-Ab
> 9. C-C#-D-Bb-E-F-Ab-G-B-A-F#-Eb
> 10. C-D-E-Ab-G-A-Eb-C#-Bb-F-B-F#
> 11. C-E-G-Eb-C#-F-F#-D-Ab-A-Bb-B
> 12. C-G-C#-F#-D-A-B-E-Eb-F-Ab-Bb
> 13. C-C#-D-B-E-F-Bb-G-F#-A-Eb-Ab
> 14. C-D-E-Bb-G-A-Ab-C#-B-F-F#-Eb
> 15. C-E-G-Ab-C#-F-Eb-D-Bb-A-B-F#
> 16. C-G-C#-Eb-D-A-F#-E-Ab-F-Bb-B
> 17. C-C#-D-F#-E-F-B-G-Eb-A-Ab-Bb
> 18. C-D-E-B-G-A-Bb-C#-F#-F-Eb-Ab
> 19. C-E-G-Bb-C#-F-Ab-D-B-A-F#-Eb
> 20. C-G-C#-Ab-D-A-Eb-E-Bb-F-B-F#
> 1. C-C#-D-Eb-E-F-F#-G-Ab-A-Bb-B
>
More substitutes:
01. C-C#-D-Eb-E-F-F#-G-Ab-A-Bb-B
21. C-C#-E-F-G-Bb-B-D-Eb-F#-Ab-A
22. C-C#-G-Bb-D-Ab-A-E-F-B-Eb-F#
23. C-C#-D-Ab-E-Eb-F#-G-Bb-A-F-B
24. C-C#-E-Eb-G-F-B-D-Ab-F#-Bb-A
25. C-C#-G-F-D-Bb-A-E-Eb-B-Ab-F#
26. C-C#-D-Bb-E-Ab-F#-G-F-A-Eb-B
27. C-C#-E-Ab-G-Eb-B-D-Bb-F#-F-A
28. C-C#-G-Eb-D-F-A-E-Ab-B-Bb-F#
29. C-C#-D-F-E-Bb-F#-G-Eb-A-Ab-B
30. C-C#-E-Bb-G-Ab-B-D-F-F#-Eb-A
31. C-C#-G-Ab-D-Eb-A-E-Bb-B-F-F#
01. C-C#-D-Eb-E-F-F#-G-Ab-A-Bb-B

This class of substitutions is now complete (reverses excepted).

--- End forwarded message ---