Hemfiness temperaments

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Hemfiness rank-two temperaments temper out the hemfiness comma, 4096000/4084101 = [15 -5 3 -5 (saquinru-atriyo), the amount by which a stack of three 5/4s and five 32/21s exceed four octaves.

Temperaments dicussed elsewhere include:

Undesemi

Subgroup: 2.3.5.7

Comma list: 4096000/4084101, 95703125/95551488

Mapping: [1 5 5 1], 0 -51 -40 27]]

POTE generator: ~8575/8192 = 80.347

Optimal GPV sequence15, 194, 209, 224, 463, 687, 1150d

Badness: 0.178777

11-limit

Subgroup: 2.3.5.7.11

Comma list: 3025/3024, 4000/3993, 180224/180075

Mapping: [1 5 5 1 5], 0 -51 -40 27 -23]]

POTE generator: ~22/21 = 80.347

Vals: 15, 194, 209, 224, 463, 1150de

Badness: 0.042318