Septisemi temperaments: Difference between revisions
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Subgroup: 2.3.5.7 | |||
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Comma list: 21/20, 54/49 | Comma list: 21/20, 54/49 | ||
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Subgroup: 2.3.5.7 | |||
Comma list: 21/20, 175/162 | Comma list: 21/20, 175/162 | ||
Revision as of 07:41, 13 February 2021
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):
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]]
Badness: 0.0556
Sodium
Period: 1\1
Optimal (POTE) generator: ~7/6 = 320.182
EDO generators: 3\11
Scales (Scala files):
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]]
Badness: 0.0558
Oxygen
Period: 1\1
Optimal (POTE) generator: ~7/6 = 169.112
Scales (Scala files):
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]]
Badness: 0.0599