RE: TUNING digest 946

Matt Nathan wrote,

>By my hearing, most equal temperaments work in proportion to the extent
that
>they get close to rational intervals, thanks or curses to the ear's natural

>attraction to rational intervals and its propensity for interpretting
>random intervals as perversions of rational intervals

Agreed!

>--which leads me to
>think
>it best use the rational intervals directly.

Unfortunately, real music is more than just an isolated presentation of
harmonic intervals. Therefore, I do not reach this conclusion. In fact,
there are many musical considerations which contradict, and need to be
balanced against, the desire for pure intervals. I chose to reinterpret the
9-limit example in 41-tet so that I could add notes which would form
consonances with more of the existing notes than would be possible in just
intonation (what is often called "punning").


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