Re: Nonoctave tunings and 88-cET (Jeff Scott)

Hello, there, Jeff Scott, and thanks for your material and links on
tunings based on or approximating equal divisions of the fifth -- and
also Gary Morrison.

With 88-cET, maybe what I might want to say is this, "While this tuning is
quite close to 3:2^1/8, it has its own special character based not only on
this resemblance, but also on the difference: the 88-cET fifth at 704
cents is about 2 cents wide. The minor seventh at 968 cents, by
comparison, is less than 1 cent narrow of 7:4, so Gary's own description
of this tuning as close to 7:4^1/11 may be a very apt one."

By the way, for people looking for a nonoctave scale with an
"octave-like" interval, 7:4^1/88 is almost identical to 109-tET, or
vice versa.

As mentioned in this thread, the Bohlen-Pierce "tritave" or 3:1 scale
in either its just or tempered versions is a great scale that might
attract people to a xenharmonic point of view, especially in the kind
of timbres suggested with an emphasis on odd partials. Maybe this
would serve as a fine example not only of new approaches to scale
construction, but also to the Setharian theme of timbre and
consonance.

Most appreciatively,

Margo Schulter
mschulter@value.net