Mint family: Difference between revisions

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EDOs template in action
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val template in action
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The mint temperament tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].
The '''Mint''' temperament tempers out [[36/35]], identifying both [[7/6]] with [[6/5]] and [[5/4]] with [[9/7]].


[[Comma]]: 36/35
[[Comma]]: 36/35


[[Map]]: [<1 0 0 2|, <0 1 0 2|, <0 0 1 -1|]
[[Map]]: [{{val| 1 0 0 2 }}, {{val| 0 1 0 2 }}, {{val| 0 0 1 -1 }}]


[[EDO]]s: {{EDOs|4, 5, 7, 9, 12}}
[[EDO]]s: {{EDOs|4, 5, 7, 9, 12}}
Line 13: Line 13:
Commas: 36/35, [[45/44]]
Commas: 36/35, [[45/44]]


Map: [<1 0 0 2 -2|, <0 1 0 2 2|, <0 0 1 -1 1|]
Map: [{{val| 1 0 0 2 -2 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 -1 1 }}]


EDOs: {{EDOs|7, 9, 12, 21, 28}}
EDOs: {{EDOs|7, 9, 12, 21, 28}}
Line 23: Line 23:
Commas: [[27/26]], 36/35, 45/44
Commas: [[27/26]], 36/35, 45/44


Map: [<1 0 0 2 -2 -1|, <0 1 0 2 2 3|, <0 0 1 -1 1 0|]
Map: [{{val| 1 0 0 2 -2 -1 }}, {{val| 0 1 0 2 2 3 }}, {{val| 0 0 1 -1 1 0 }}]


EDOs: {{EDOs|7, 9, 16, 21, 28}}
EDOs: {{EDOs|7, 9, 16, 21, 28}}

Revision as of 23:07, 31 May 2020

The Mint temperament tempers out 36/35, identifying both 7/6 with 6/5 and 5/4 with 9/7.

Comma: 36/35

Map: [1 0 0 2], 0 1 0 2], 0 0 1 -1]]

EDOs: 4, 5, 7, 9, 12

Badness: 0.0000637

Nickel

Commas: 36/35, 45/44

Map: [1 0 0 2 -2], 0 1 0 2 2], 0 0 1 -1 1]]

EDOs: 7, 9, 12, 21, 28

Badness: 0.000463

13-limit

Commas: 27/26, 36/35, 45/44

Map: [1 0 0 2 -2 -1], 0 1 0 2 2 3], 0 0 1 -1 1 0]]

EDOs: 7, 9, 16, 21, 28

Badness: 0.000647