TUNING digest 1603

In a message dated 98-12-05 17:29:42 EST, you write:

<< Also, I probably would have made a minor variant on the subtitle:
Rather
>than "tuning@eartha.mills.edu: a microtonal music experience", I would
have
>suggested, "tuning@eartha.mills.edu: The Experience". That in analogy
with
>the ride at the Universal Studios theme park "Back to the Future: The
>Experience", and similar subtitles. >>

Why not have an album with half 12 ET tunes and the other half non12ET and you
could call it: The Battle of the Microtones, or the Battle of the Critical
Bands... Here's the Pitch... Tune in to a Mega Multidimensional Sound War. ET
squares off against a heavily primed Diamond Dave just in from California. ET
beats a lot of opponents with alarming frequency, but the Diamond can be just
as rough. ET may even get the cents knocked out of him... First in a
Harmonic Series of Battles.

I forgot to point out that Medieval Western practice ("Gothic?") also
fails the three-chord-covering property. The consonant chords were
3-limit dyads, but three of those would cover at most 6 notes, while the
diatonic scale has 7. The diatonic scale with 3-limit harmony is another
system which I wanted to leave out of my paper for brevity, but clearly
cannot be dismissed altogether, as it was a language in which great
musical works were produced for a few centuries.