Shibboleth family

The shibboleth family tempers out the shibboleth comma, 1953125/1889568.

Temperaments discussed elsewhere include:

• superthird, {245/243, 78125/76832} → Sensamagic clan #Superthird

Shibboleth

Subgroup: 2.3.5

Comma list: 1953125/1889568

Mapping: [⟨1 4 5], ⟨0 -9 -10]]

POTE generator: ~6/5 = 321.852

Badness: 0.227553

Superkleismic

Main article: Superkleismic

See also: Gamelismic clan § Superkleismic

Subgroup: 2.3.5.7

Comma list: 875/864, 1029/1024

Mapping: [⟨1 4 5 2], ⟨0 -9 -10 3]]

Wedgie: ⟨⟨ 9 10 -3 -5 -30 -35 ]]

POTE generator: ~6/5 = 321.930

Badness: 0.047932

11-limit

Subgroup: 2.3.5.7.11

Comma list: 100/99, 245/242, 385/384

Mapping: [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]]

POTE generator: ~6/5 = 321.847

Optimal GPV sequence: Template:Val list

Badness: 0.025659

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 100/99, 105/104, 144/143, 245/243

Mapping: [⟨1 4 5 2 4 8], ⟨0 -9 -10 3 -2 -16]]

POTE generator: ~6/5 = 321.994

Optimal GPV sequence: Template:Val list

Badness: 0.021478

Gilead

Subgroup: 2.3.5.7

Comma list: 126/125, 343/324

Mapping: [⟨1 4 5 6], ⟨0 -9 -10 -12]]

Wedgie: ⟨⟨ 9 10 12 -5 -6 0 ]]

POTE generator: ~6/5 = 321.423

Badness: 0.115292