Shibboleth family

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

Temperaments discussed elsewhere include:

Shibboleth

Subgroup: 2.3.5

Comma list: 1953125/1889568

Mapping[1 4 5], 0 -9 -10]]

Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.852

Optimal ET sequence15, 26, 41, 179c, 220c, 261cc, 302cc

Badness: 0.227553

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]]

Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.930

Optimal ET sequence11c, 15, 26, 41

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]]

Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.847

Optimal ET sequence11c, 15, 26, 41, 179cde, 220cde, 261ccdee

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]]

Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.994

Optimal ET sequence11cf, 15, 26, 41

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]]

Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.423

Optimal ET sequence11cd, 15, 41dd, 56dd

Badness: 0.115292