Shibboleth family

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

Shibboleth

Period: 1\1

Optimal (POTE) generator: ~6/5 = 321.852

EDO generator: 4\15, 7\26, 11\41

Scales (Scala files):

Technical data

Subgroup: 2.3.5

Comma list: 1953125/1889568

Mapping: [⟨1 4 5], ⟨0 -9 -10]]

Badness: 0.2276

Superkleismic

See also: Gamelismic clan § Superkleismic

Period: 1\1

Optimal (POTE) generator: ~6/5 = 321.930

EDO generator: 4\15, 7\26, 11\41

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 875/864, 1029/1024

Mapping: [⟨1 4 5 2], ⟨0 -9 -10 3]]

Badness: 0.0479

11-limit

Period: 1\1

Optimal (POTE) generator: ~6/5 = 321.847

EDO generator: 4\15, 7\26, 11\41

Scales (Scala files):

Technical data

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]]

Badness: 0.0257

13-limit

Period: 1\1

Optimal (POTE) generator: ~6/5 = 321.994

EDO generator: 4\15, 7\26, 11\41

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

Comma list: 100/99, 105/104, 245/243, 1188/1183

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

Badness: 0.0215

Gilead

Period: 1\1

Optimal (POTE) generator: ~6/5 = 321.423

EDO generator: 3\11, 4\15

Scales (Scala files):

Technical data

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 ]]

Badness: 0.1153