Landscape family: Difference between revisions
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The '''landscape family''' of rank-3 temperaments tempers out the [[landscape comma]], 250047/250000. | The '''landscape family''' of rank-3 temperaments tempers out the [[landscape comma]], 250047/250000. | ||
= Landscape = | == Landscape == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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[[Badness]]: 0.02130 × 10<sup>-3</sup> | [[Badness]]: 0.02130 × 10<sup>-3</sup> | ||
= Odin = | == Odin == | ||
{{see also| Kalismic temperaments #Odin }} | {{see also| Kalismic temperaments #Odin }} | ||
= Tyr = | == Tyr == | ||
{{see also| Lehmerismic temperaments #Tyr }} | {{see also| Lehmerismic temperaments #Tyr }} | ||
Revision as of 21:36, 1 June 2021
The landscape family of rank-3 temperaments tempers out the landscape comma, 250047/250000.
Landscape
Subgroup: 2.3.5.7
Comma list: 250047/250000
Mapping: [<3 0 0 4|, <0 1 0 -2|, <0 0 1 2|]
Mapping generators: ~63/50, ~3, ~5
- [[9 0 0 0⟩, [4 3 6 -3⟩, [0 0 9 0⟩, [4 -6 6 6⟩]/9
- Eigenmonzos: 7/6, 5/4
- [[12 0 0 0⟩, [4 6 6 -3⟩, [0 0 12 0⟩, [8 -12 12 6⟩]/12
- Eigenmonzos: 5/4, 9/7
EDOs: 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555
Badness: 0.02130 × 10-3