Septisemi temperaments

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These are very low complexity temperaments tempering out the septimal minor semitone, 21/20, and hence equating 5/3 with 7/4, and 10/7 with 3/2.

Temperaments discussed elsewhere are:

Considered below are fluorine, sodium and oxygen.

Fluorine

5-limit (avila)

Subgroup: 2.3.5

Comma list: 729/640

Mapping: [1 0 -7], 0 1 6]]

POTE generator: ~3/2 = 661.593

Vals2c, 7c, 9, 20b, 29b

Badness: 0.181941

7-limit

Subgroup: 2.3.5.7

Comma list: 21/20, 243/224

Mapping: [1 0 -7 -5], 0 1 6 5]]

Wedgie⟨⟨1 6 5 7 5 -5]]

POTE generator: ~3/2 = 663.059

Vals9, 20bdd, 29bdd

Badness: 0.055623

Sodium

Subgroup: 2.3.5.7

Comma list: 21/20, 54/49

Mapping: [1 1 1 2], 0 2 5 3]]

Wedgie⟨⟨2 5 3 3 -1 -7]]

POTE generator: ~7/6 = 320.182

Vals4, 11, 15b

Badness: 0.055814

Oxygen

Subgroup: 2.3.5.7

Comma list: 21/20, 175/162

Mapping: [1 2 3 3], 0 -3 -5 -2]]

Wedgie⟨⟨3 5 2 1 -5 -9]]

POTE generator: ~7/6 = 169.112

Vals7d, 8

Badness: 0.059866