Shibboleth family

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

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]]

Optimal tunings:

• CTE: ~2 = 1\1, ~6/5 = 321.773
• POTE: ~2 = 1\1, ~6/5 = 321.852

Optimal ET sequence: 15, 26, 41, 179c, 220c, 261cc, 302cc

Badness: 0.227553

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 tunings:

• CTE: ~2 = 1\1, ~6/5 = 321.109
• POTE: ~2 = 1\1, ~6/5 = 321.423

Optimal ET sequence: 11cd, 15, 41dd, 56dd

Badness: 0.115292