Semicanousmic temperaments

From Xenharmonic Wiki
Jump to navigation Jump to search

These are rank-3 temperaments tempering out the semicanousma, 14641/14580 = [-2 -6 -1 0 4, but we can begin by looking at the rank-4 temperament.

Temperaments not discussed here include triglav and semicanou.

Comma: 14641/14580

Map: [<1 0 2 0 1|, <0 1 2 0 2|, <0 0 4 0 1|, <0 0 0 1 0|]

POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866

EDOs: 7, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410

Badness: 0.3506 × 10-6

No-seven semicanousmic

Comma: 14641/14580

Map: [<1 0 2 0 1|, <0 1 2 0 2|, <0 0 4 0 1|]

POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579

EDOs: 7, 24, 31, 56, 73, 80, 87, 118, 205, 323

Badness: 0.1425 × 10-3