Mint family: Difference between revisions

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


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


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


EDOs: [[4edo|4]], [[5edo|5]], [[7edo|7]], [[9edo|9]], [[12edo|12]]
[[EDO]]s: {{EDOs|4, 5, 7, 9, 12}}


[[Badness|Badness]]: 0.0000637
[[Badness]]: 0.0000637


==Nickel==
== Nickel ==
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: [<1 0 0 2 -2|, <0 1 0 2 2|, <0 0 1 -1 1|]


EDOs: 7, 9, 12, [[21edo|21]], [[28edo|28]]
EDOs: {{EDOs|7, 9, 12, 21, 28}}


Badness: 0.000463
Badness: 0.000463


===13-limit===
=== 13-limit ===
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: [<1 0 0 2 -2 -1|, <0 1 0 2 2 3|, <0 0 1 -1 1 0|]


EDOs: 7, 9, [[16edo|16]], 21, 28
EDOs: {{EDOs|7, 9, 16, 21, 28}}


Badness: 0.000647
Badness: 0.000647

Revision as of 23:04, 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