My "pelog" temperament again, extended to 16 tones

[From my Facebook page, which I've been using as a blog of sorts lately. This is what I've called "Calliope-On-The-Styx" temperament, based an octave raised by a comma and a fifth lowered by a comma of equal size, or near-equal size if using 53edo, 72edo or something else...]

The nine-tone stretched-octave pelog-inspired tuning I invented earlier this year I’ve actually used in two works: "The Calliope Crashed to the Ground" and, from the DIES IRÆ project, "La nef des fous" (just the trombone and clarinet parts). I’ve expanded the tuning to sixteen pitches. The symmetrical 72-EDO version in cents, with the best 11-limit JI approximations in parentheses:

1. 83.33 (22/21 or 21/20)
2. 150.00 (12/11)
3. 233.33 (8/7)
4. 300.00 (25/21)
5. 383.33 (5/4)
6. 450.00 (35/27)
7. 533.33 (15/11)
8. 616.67 (10/7) or 600.00 (99/70)
9. 683.33 (40/27)
10. 766.67 (14/9)
11. 833.33 (81/50)
12. 916.67 (56/33)
13. 983.33 (44/25)
14. 1066.67 (50/27)
15. 1133.33 (77/40 or 27/14)
16. 1216.67 (81/40)

As you can see, it’s a chain of chromatic (not diatonic) semitones in two different sizes, 66.67 and 83.33 cents. The "pelog" subset would be: {0 2 4 7 9 11 13}.

An alternate version of this tuning would be 16 equal divisions of a high "wolf" octave (81/40), with all steps 76.34 cents apart, or 25 equal divisions of a perfect twelfth (the tritave of Bohlen-Pierce temperament, which I’ve used on a few clarinet parts), 76.08 cents.

~D. ¶¦¬{> http://dannywier.ucoz.com