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"Nested" Asymmetrical 12EDO Subscales:

🔗Bill Flavell <musictheorybill@gmail.com>

8/30/2006 8:50:12 AM

The broad/general claim I am championing here
is that the 12EDO tuning system has not been
rigorously and correctly theorized/analyzed, and,
therefore, no genuinely 12EDO-specific music has
been written/played, and the conventional alibis
for "jumping ship" to some other alternative
tuning system are also based on the same
theoretically insupportable concepts/ideas.

The specific claim that I am making is that to
actually hear the true nature of the 12EDO tonalities
possible, the 12EDO asymmetrical subscales and
their inversions must be "nested", or
aligned/sandwhiched next to each other in the
minimum pitch/registral space. This is sort of the
musical version of R. Buckminster Fuller's concept
of the "closest packing of spheres".

This past summer I finally realized how to create
diagrams of these "nested" asymmetrical 12EDO
subscales (specifically the 20 blues pentachords),
and I'll create a folder and post these to the list's
files archive as soon as possible.

Bill Flavell