Paul's waste of time post

> *One could learn 72-tET as follows. Start with 12-tET.
> Learn 1/4-tones by playing Arabic stuff, and listening to the
> essentially just 11:8, 11:6, and 11:9 intervals that 1/4-tones
> make with 12-tET. (6:8:9:11 chords are great for this purpose).
> Then learn the 1/6-tones of 36-tET by playing the essentially
> just 7:4, 7:6, and 7:9 intervals that 1/6-tones make with
> 12-tET. 1/12-tones can be learned by playing just 5:4, 5:3,
> and 5:9 intervals starting with 12-tET, and also as the spaces
> between 1/6-tones and 1/4-tones.

This was really interesting to me.

Dan Stearns lent me his copy of the Maneri/van Duyne book
_Preliminary Studies in the Virtual Pitch Continuum_,
and one of the things we discussed in our private correspondence,
which I commended highly, was the way they insisted on presenting the
ear-training excercises *without* the typical facile
comparisons to JI or other more familiar tuning systems.

Still, because of my knowledge of how the notation represents
the ratios (exactly as you describe above), I couldn't help
but find myself thinking, when I saw the appropriate intervals
notated, 'oh, that's an 11/6... that's a 7/4', etc.
I took this as my own personal proof that 72-eq is a great
way to notate 11-limit JI, because it was happening automatically,
and not being imposed by me deliberately.

Joseph L. Monzo....................monz@juno.com
http://www.ixpres.com/interval/monzo/homepage.html
|"...I had broken thru the lattice barrier..."|
| - Erv Wilson |
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