Hemfiness temperaments

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:

• Hemififths
• Nessafof
• Gamera
• Superkleismic
• Quanharuk
• Merman
• Decipentic
• Oquatonic
• Stockhausenic
• Secant
• Thuja
• Jerome
• Progress
• Witcher

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 ET sequence: 15, 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

Optimal ET sequence: 15, 194, 209, 224, 463, 1150de

Badness: 0.042318