Landscape family: Difference between revisions
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The landscape family of rank three temperaments tempers out the [[landscape comma]], 250047/250000. | The '''landscape family''' of rank three temperaments tempers out the [[landscape comma]], 250047/250000. | ||
=Landscape= | = Landscape = | ||
Comma: 250047/250000 | Comma: 250047/250000 | ||
| Line 21: | Line 21: | ||
Generators: 63/50, 3, 5 | Generators: 63/50, 3, 5 | ||
EDOs | {{EDOs|legend=1| 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555 }} | ||
10 | 10<sup>5</sup> × badness: 2.130 | ||
= | = Odin = | ||
{{see also| Kalismic temperaments #Odin }} | |||
= | = Tyr = | ||
{{see also| Lehmerismic temperaments #Tyr }} | |||
[[Category:Theory]] | [[Category:Theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Landscape]] | [[Category:Landscape]] | ||
[[Category:Rank 3]] | |||
Revision as of 05:55, 12 January 2021
The landscape family of rank three temperaments tempers out the landscape comma, 250047/250000.
Landscape
Comma: 250047/250000
7-limit minimax tuning
[|9 0 0 0>, |4 3 6 -3>, |0 0 9 0>, |4 -6 6 6>]/9
Eigenmonzos: 7/6, 5/4
9-limit minimax tuning
[|12 0 0 0>, |4 6 6 -3>, |0 0 12 0>, |8 -12 12 6>]/12
Eigenmonzos: 5/4, 9/7
Map: [<3 0 0 4|, <0 1 0 -2|, <0 0 1 2|]
Generators: 63/50, 3, 5
EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555
105 × badness: 2.130