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12-Tone 16EDO Blues Subscale for 12EDO Keyboard "Mapping":

🔗Bill Flavell <bill_flavell@email.com>

12/24/2005 10:04:04 AM

I got this in the dream/sleep state last night.

I diagrammed it out this morning and got the
following 12 pitch classes/cents values for mapping
the scale/tuning onto a standard generic 12EDO
keyboard/alternative tuning synthesizer:

1. C1: 1/1

2. C#1: C1 + 75 cents

3. D1: C1 + 150 cents

4. D#1: C1 + 300 cents

5. E1: C1 + 450 cents

6. F1: C1 + 525 cents

7. F#1: C1 + 600 cents

8. G1: C1 + 750 cents

9. G#1: C1 + 825 cents

10. A1: C1 + 900 cents

11. A#1: C1 + 975 cents

12. B1: C1 + 1050 cents

13. C2: C1 + 1200 cents: 2/1

This scale/tuning has the same tritone and
minor third structure of the conventional
12EDO tuning (dividing the octave in 1/2
and 1/4), with 2 additional layers of
scale steps that are equal to 1-1/2 (1/8 of an octave)
12EDO semitones and 3/4 (1/16 of an octave)of a
standard 12EDO semitone (75 cents).

In addition, this scale/tuning, although not
precisely having the same scale step sequencing
as the Morse-Thue sequence (ABBA-BAAB-BAAB-ABBA),
more importantly, I think, it DOES embody the
general principle of one half of the scale
being the "inversion" in terms of scale steps
as the other half of the scale ( 1-1-2-2-1-1 vs
2-1-1-1-1-2), where the initial scale step "cell"
is 1-1-2 16EDO scale steps.

Bill Flavell