Septisemi temperaments: Difference between revisions
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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. | 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. | ||
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[[Badness]]: 0.0599 | [[Badness]]: 0.0599 | ||
[[Category: | [[Category:Regular temperament theory]] | ||
[[Category:Temperament]] | [[Category:Temperament collection]] | ||
[[Category:Septisemi]] | [[Category:Septisemi]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 08:57, 3 April 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
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
Badness: 0.0556
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
Badness: 0.0558
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
Badness: 0.0599