Landscape family: Difference between revisions
m Text replacement - "Category:Temperament families↵Category:Pages with mostly numerical content" to "Category:Temperament families" Tag: Manual revert |
No edit summary Tags: Mobile edit Mobile web edit |
||
| Line 1: | Line 1: | ||
{{Technical data page}} | {{Technical data page}} | ||
The '''landscape family''' of [[rank-3 temperament]]s tempers out the [[landscape comma]], 250047/250000. | The '''landscape family''' of [[rank-3 temperament]]s tempers out the [[landscape comma]], 250047/250000. | ||
Considered below is house, besides the 7-limit temperament. Discussed elsewhere are [[Kalismic temperaments #Odin|odin]] and [[Lehmerismic temperaments #Tyr|tyr]]. | |||
== Landscape == | == Landscape == | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
| Line 12: | Line 13: | ||
: mapping generators: ~63/50, ~3, ~5 | : mapping generators: ~63/50, ~3, ~5 | ||
[[Optimal tuning]]s: | |||
* [[WE]]: ~63/50 = 400.001{{c}}, ~3/2 = 701.938{{c}}, ~5/4 = 386.335{{c}} | |||
* [[CWE]]: ~63/50 = 400.000{{c}}, ~3/2 = 701.939{{c}}, ~5/4 = 386.339{{c}} | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 23: | Line 28: | ||
{{Optimal ET sequence|legend=1| 3, 12, 27, 45, 57, 60, 72, 99, 171, 441, 612, 1236, 1407, 1578, 1848, 2019, 6498, 8346, 8517, 10536, 12555 }} | {{Optimal ET sequence|legend=1| 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<sup>-3</sup> | [[Badness]] (Sintel): 0.094<!-- 0.02130 × 10<sup>-3</sup> by Smith's --> | ||
== House == | == House == | ||
House tempers out the [[quartisma]] alongside the landscape comma. | House tempers out the [[quartisma]] alongside the landscape comma. | ||
| Line 35: | Line 41: | ||
: mapping generators: ~63/50, ~3, ~9801/5120 | : mapping generators: ~63/50, ~3, ~9801/5120 | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[WE]]: ~63/50 = 399.996{{c}}, ~3/2 = 701.960{{c}}, ~9801/5120 = 1124.286{{c}} | |||
* [[CWE]]: ~63/50 = 400.000{{c}}, ~3/2 = 701.965{{c}}, ~9801/5120 = 1124.298{{c}} | |||
{{Optimal ET sequence|legend=1| 111, 159, 270, 696, 966, 1236, 1506, 2631, 2901, 4137, 4407, 8544e, 12951ce, 14187cee }} | {{Optimal ET sequence|legend=1| 111, 159, 270, 696, 966, 1236, 1506, 2631, 2901, 4137, 4407, 8544e, 12951ce, 14187cee }} | ||
[[Badness]]: | [[Badness]] (Sintel): 2.305 | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||