Landscape family: Difference between revisions
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[[Badness]]: 0.02130 × 10<sup>-3</sup> | [[Badness]]: 0.02130 × 10<sup>-3</sup> | ||
== House == | |||
House tempers out the [[quartisma]] alongside the landscape comma. | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 250047/250000, 2517630976/2516421875 | |||
{{Mapping|legend=1| 3 0 2 8 16 | 0 1 4 6 0 | 0 0 -5 -10 2 }} | |||
: mapping generators: ~63/50 = 1\3, ~3, ~9801/5120 | |||
[[Support]]ing [[ET]]s: {{EDOs|45, 111, 159, 270, 381, 429, 537, 966, 1236, 1506, 1395, 1665, 1776, 2901}} | |||
== Odin == | == Odin == | ||
{{See also| Kalismic temperaments #Odin }} | {{See also| Kalismic temperaments #Odin }} | ||
Revision as of 13:29, 25 February 2024
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
- eigenmonzo (unchanged-interval) basis: 2.5.7/3
- [[12 0 0 0⟩, [4 6 6 -3⟩, [0 0 12 0⟩, [8 -12 12 6⟩]/12
- eigenmonzo (unchanged-interval) basis: 2.5.9/7
Optimal ET sequence: 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
House
House tempers out the quartisma alongside the landscape comma.
Subgroup: 2.3.5.7.11
Comma list: 250047/250000, 2517630976/2516421875
Mapping: [⟨3 0 2 8 16], ⟨0 1 4 6 0], ⟨0 0 -5 -10 2]]
- mapping generators: ~63/50 = 1\3, ~3, ~9801/5120
Supporting ETs: 45, 111, 159, 270, 381, 429, 537, 966, 1236, 1506, 1395, 1665, 1776, 2901