[Fmpro] Report On the Transpositions of 12TET "Nested" Inversions of Blues Tetrachord 1-2-3 (4-13):

[BVMedia-A d r i e l]

Sheesh he made it to spamming this list!

> From: Bill Flavell <bill.flavell at gmail.com>
> Reply-To: "fmpro at nxport.com" <fmpro at nxport.com>
> Date: Sat, 07 Oct 2006 13:25:46 -0700
> To: "fmpro at nxport.com" <fmpro at nxport.com>
> Subject: [Fmpro] Report On the Transpositions of 12TET "Nested" Inversions of
> Blues Tetrachord 1-2-3 (4-13):
> 
> I just finished drawing out all 12 transpositions
> of the "nested" inversions of the blues tetrachord
> with scale steps 1-2-3 (pitch class set 4-13),
> and I hit the jackpot and got 12 structurally
> distinct superscales with the following characteristics:
> 
> 
> 1. one symmetrical pentachord
> 
> 2. three asymmetrical hexachords and three
> symmetrical hexachords
> 
> 3. one asymmetrical septachord
> 
> 4. four symmetrical octachords
> 
> 
> Because this particular tetrachord has 12
> structurally distinct superscales, I will
> designate it as a "hyper-differentiating" (HD)
> nested tetrachord.
> 
> Notice that there are four asymmetrical
> superscales, so that those could be further
> "nested" with their various superscale inversions to
> produce another "generation" of raw scalar
> material.
> 
> I will be continuing my exploration of nested
> tetrachords, pentachords, and hexachords
> and posting the results at my primary
> theoretical Yahoo group:
> 
> http://launch.groups.yahoo.com/group/12TET_TuningSystemSpecificity/
> 
> 
> MIDI files of all 17 of the 12TET nested tetrachords
> can be accessed/listened to here:
> 
> http://launch.groups.yahoo.com/group/BluesNestedTetrachord4ToneScales/
> 
> 
> Note: you must join the group in order to be
> able to access/listen to the MIDI files, which
> are in the group's Files section.
> 
> 
> Bill.Flavell at GMail.com
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