Sarn wrote:

>Would converting 12ET to 10ET, not be as simple as:

0 1 2 3 4 5 6 7 8 9 10 11 12 (Octave)

12ET:

10ET:0 1 2 3 4 5 6 7 8 9 10 (Octave)

--spliceing the 10 Equal Temperament to the nearest 12 Equal Temperament, in

effect multiplying each 12ET cents value (except for the octaves) by, and

taking out (quasi-randomly/randomly) say, 16.666666666% of the notes.

Surely one could do this, but is this what one really means by

10-tet? I doubt it. First, which 16% of the notes should be left out,

and how should the remaining ones be mapped?

(neither of these have a unique answer)

Second, what timbres will be used?

I guarantee that if you play the 10-tet "fifth" with

harmonic timbres it will beat amazingly - good for a special effect

perhaps, but not good for a restfull "fifth" at the end of a piece

(as in the "style of Beethoven").

I suspect that tunings like 10-tet have their

own unique syntax. For instance, my pieces in 10-tet

("Ten Fingers" and "Circle of Thirds")

stack two "neutral thirds" on top of each other.

The nearest interval to a fifth is then bypassed

for these other more "consonant" intervals of

a neutral third and the interval that is a stack

of two neutral thirds.

In other words, simple mappings between tunings are unlikely

to give the kinds of results you're looking for.

With this said, though, its certainly worth a try!

Bill Sethares