Septisemi temperaments

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Revision as of 07:41, 13 February 2021 by FloraC (talk | contribs) (+subgroup data)
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These are very low complexity temperaments tempering out the minor septimal semitone, 21/20, and hence equating 5/3 with 7/4, and 10/7 with 3/2.

Discussed elsewhere are mother, flat, beep, sharptone and pelogic.

Fluorine

Period: 1\1

Optimal (POTE) generator: ~3/2 = 663.059

EDO generators: 5\9

Scales (Scala files):

Technical data

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]]

Template:Val list

Badness: 0.0556

Sodium

Period: 1\1

Optimal (POTE) generator: ~7/6 = 320.182

EDO generators: 3\11

Scales (Scala files):

Technical data

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]]

Template:Val list

Badness: 0.0558

Oxygen

Period: 1\1

Optimal (POTE) generator: ~7/6 = 169.112

EDO generators: 1\7, 1\8

Scales (Scala files):

Technical data

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]]

Template:Val list

Badness: 0.0599