Mint family: Difference between revisions
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The ''' | The '''mint''' family of rank-3 temperaments tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]]. | ||
[[Comma]]: 36/35 | = Mint = | ||
[[Comma list]]: 36/35 | |||
[[ | [[Mapping]]: [{{val| 1 0 0 2 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 -1 }}] | ||
{{Val list|legend=1| 4, 5, 7, 8d, 9, 12 }} | |||
[[Badness]]: 0. | [[Badness]]: 0.0637 × 10<sup>-3</sup> | ||
= Nickel = | |||
Comma list: 36/35, [[45/44]] | |||
Mapping: [{{val| 1 0 0 2 -2 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 -1 1 }}] | |||
{{Val list|legend=1| 7, 9, 12, 21, 28 }} | |||
Badness: 0. | Badness: 0.463 × 10<sup>-3</sup> | ||
== 13-limit == | |||
Comma list: [[27/26]], 36/35, 45/44 | |||
Mapping: [{{val| 1 0 0 2 -2 -1 }}, {{val| 0 1 0 2 2 3 }}, {{val| 0 0 1 -1 1 0 }}] | |||
{{Val list|legend=1| 7, 9, 12f, 16, 21, 28 }} | |||
Badness: 0. | Badness: 0.647 × 10<sup>-3</sup> | ||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Mint]] | [[Category:Mint]] | ||
[[Category: | [[Category:Rank 3]] | ||
Revision as of 10:29, 28 February 2021
The mint family of rank-3 temperaments tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7.
Mint
Comma list: 36/35
Mapping: [⟨1 0 0 2], ⟨0 1 0 2], ⟨0 0 1 -1]]
Badness: 0.0637 × 10-3
Nickel
Comma list: 36/35, 45/44
Mapping: [⟨1 0 0 2 -2], ⟨0 1 0 2 2], ⟨0 0 1 -1 1]]
Badness: 0.463 × 10-3
13-limit
Comma list: 27/26, 36/35, 45/44
Mapping: [⟨1 0 0 2 -2 -1], ⟨0 1 0 2 2 3], ⟨0 0 1 -1 1 0]]
Badness: 0.647 × 10-3