Archytas family: Difference between revisions
- music (addressed in the dedicated article) |
Tunings and badnesses |
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| Line 21: | Line 21: | ||
: Angle (3/2, 5/4) = 90 degrees | : Angle (3/2, 5/4) = 90 degrees | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.0000, ~3/2 = 709.5949, ~5/4 = 386.3137 | |||
: [[error map]]: {{val| 0.000 +7.640 0.000 +11.984 }} | |||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 709.3901, ~5/4 = 391.5995 | |||
: error map: {{val| 0.000 +7.435 +5.286 +12.394 }} | |||
<!-- * [[POTE]]: ~2 = 1200.0000, ~3/2 = 709.3213, ~5/4 = 393.3747 | |||
: error map: {{val| 0.000 +7.366 +7.061 +12.532 }} --> | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 32: | Line 38: | ||
{{Optimal ET sequence|legend=1| 5, 7, 10, 12, 15, 22, 27, 39d, 49, 88bcd, 110bcdd }} | {{Optimal ET sequence|legend=1| 5, 7, 10, 12, 15, 22, 27, 39d, 49, 88bcd, 110bcdd }} | ||
[[Badness]] (Sintel): 0.435 | |||
Scales: [[archytas12]], [[archytas12synch]] | Scales: [[archytas12]], [[archytas12synch]] | ||
| Line 45: | Line 53: | ||
{{Mapping|legend=1| 1 0 0 6 2 | 0 1 0 -2 -2 | 0 0 1 0 2 }} | {{Mapping|legend=1| 1 0 0 6 2 | 0 1 0 -2 -2 | 0 0 1 0 2 }} | ||
Mapping to lattice: [{{val| 0 1 1 -2 0 }}, {{val| 0 0 -1 0 -2 }}] | [[Mapping to lattice]]: [{{val| 0 1 1 -2 0 }}, {{val| 0 0 -1 0 -2 }}] | ||
Lattice basis: | Lattice basis: | ||
| Line 51: | Line 59: | ||
: Angle (3/2, 6/5) = 75.0475 degrees | : Angle (3/2, 6/5) = 75.0475 degrees | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.0000, ~3/2 = 709.7182, ~5/4 = 385.7114 | |||
: [[error map]]: {{val| 0.000 +7.763 -0.602 +11.738 +0.668 }} | |||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 709.6947, ~5/4 = 390.0248 | |||
: error map: {{val| 0.000 +7.740 +3.711 +11.785 +9.342 }} | |||
<!-- * [[POTE]]: ~2 = 1200.0000, ~3/2 = 709.6869, ~5/4 = 391.4507 | |||
: error map: {{val| 0.000 +7.732 +5.137 +11.800 +12.210 }} --> | |||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 60: | Line 74: | ||
{{Optimal ET sequence|legend=1| 12, 15, 22, 27e, 34d, 49, 181bbcddeeee }} | {{Optimal ET sequence|legend=1| 12, 15, 22, 27e, 34d, 49, 181bbcddeeee }} | ||
[[Badness]]: 0. | [[Badness]] (Sintel): 0.563 | ||
Scales: [[ares12]] | Scales: [[ares12]] | ||
| Line 71: | Line 85: | ||
{{Mapping|legend=1| 1 0 0 6 9 | 0 1 0 -2 -2 | 0 0 1 0 -1 }} | {{Mapping|legend=1| 1 0 0 6 9 | 0 1 0 -2 -2 | 0 0 1 0 -1 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.0000, ~3/2 = 713.9739, ~5/4 = 397.0040 | |||
: [[error map]]: {{val| 0.000 +12.019 +10.690 +3.226 +23.730 }} | |||
* [[CWE]]: ~2 = 1200.0000, ~3/2 = 711.5280, ~5/4 = 400.4798 | |||
: error map: {{val| 0.000 +9.573 +14.166 +8.118 +25.146 }} | |||
<!-- * [[POTE]]: ~2 = 1200.0000, ~3/2 = 710.9720, ~5/4 = 401.2699 | |||
: error map: {{val| 0.000 +9.017 +14.956 +9.230 +25.468 }} --> | |||
{{Optimal ET sequence|legend=1| 5, 10, 12, 15, 27e }} | {{Optimal ET sequence|legend=1| 5, 10, 12, 15, 27e }} | ||
[[Badness]]: 0. | [[Badness]] (Sintel): 0.693 | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||