Alphaxenic rank three clan
|
Todo: expand |
These are rank-3 temperaments that temper out the Alpharabian comma, [-17 2 0 0 4⟩ = 131769/131072, but we can begin with the rank-4 temperament.
Comma: 131769/131072
POTE generators: ~11/8 = 549.3316 or ~33/32 = 50.6784, ~5/4 = 385.5751, ~7/4 = 967.9328
Map: [<2 1 0 0 8|, <0 2 0 0 -1|, <0 0 1 0 0|, <0 0 0 1 0|]
Wedgie:
EDOs: 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de
Badness:
Betarabian
Whenever the rastma is added to the list of commas tempered out among Alpharabian temperaments, you end up with Betarabian, which splits the octave into 24 equal parts.
Commas: 243/242, 131769/131072
POTE generators: ~5/4 = 385.0647, ~7/4 = 967.3158
Map: [<24 38 0 0 83|, <0 0 1 0 0|, <0 0 0 1 0|]
Wedgie:
Badness: