Tetracot family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
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[[Badness]]: 0.048518 | [[Badness]]: 0.048518 | ||
Scales: [[Tetracot7]], [[Tetracot13]], [[Tetracot20]] | |||
=== Extensions === | === Extensions === | ||
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{{see also| No-sevens subgroup temperaments #Tetracot }} | {{see also| No-sevens subgroup temperaments #Tetracot }} | ||
The tetracot temperament works well for the 2.3.5.11 subgroup, in which tempering out 100/99 and 243/242. In this temperament, 3/2 is divided into four equal parts, which represents both 10/9 and 11/10. | The tetracot temperament works well for the 2.3.5.11.13 subgroup, in which tempering out 100/99, 144/143 and 243/242. In this temperament, 3/2 is divided into four equal parts, one of which represents both 10/9 and 11/10. | ||
Subgroup: 2.3.5.11 | Subgroup: 2.3.5.11 | ||
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{{Val list|legend=1| 7, 27e, 34, 41, 75e }} | {{Val list|legend=1| 7, 27e, 34, 41, 75e }} | ||
Scales: [[Tetracot7]], [[Tetracot13]], [[Tetracot20]] | |||
==== 2.3.5.11.13 ==== | |||
Subgroup: 2.3.5.11.13 | |||
[[Comma list]]: 100/99, 144/143, 243/242 | |||
[[Gencom]]: [2 10/9; 100/99 144/143 243/242] | |||
[[Mapping|Sval mapping]]: [{{val|1 1 1 2 4}}, {{val|0 4 9 10 -2}}] | |||
[[Tp tuning|POL2 generator]]: ~10/9 = 176.196 | |||
{{Val list|legend=1| 7, 27e, 34, 41, 75e }} | |||
Scales: [[Tetracot7]], [[Tetracot13]], [[Tetracot20]] | |||
== Monkey == | == Monkey == | ||