Vulture family: Difference between revisions
+intro to classical vulture. 53 & 217 -> 53 & 270 (217 and 323 are about as viable so I no longer think 53 & 217 is the best description) |
+CTE tunings and error maps for vulture |
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: mapping generators: ~2, ~320/243 | : mapping generators: ~2, ~320/243 | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.000, ~320/243 = 475.5351 | |||
: [[error map]]: {{val| 0.0000 +0.1855 -0.0758 }} | |||
* [[POTE]]: ~2 = 1200.000, ~320/243 = 475.5426 | |||
: error map: {{val| 0.0000 +0.2154 +0.0811 }} | |||
{{Optimal ET sequence|legend=1| 53, 164, 217, 270, 323, 2531, 2854b, 3177b, | {{Optimal ET sequence|legend=1| 53, 164, 217, 270, 323, 2531, 2854b, 3177b, …, 4469b }} | ||
[[Badness]]: 0.041431 | [[Badness]] (Smith): 0.041431 | ||
== Septimal vulture == | == Septimal vulture == | ||
Line 37: | Line 41: | ||
{{Multival|legend=1| 4 21 -56 24 -100 -189 }} | {{Multival|legend=1| 4 21 -56 24 -100 -189 }} | ||
[[Optimal tuning]] | [[Optimal tuning]]s: | ||
* [[CTE]]: ~2 = 1200.0000, ~320/243 = 475.5528 | |||
: [[error map]]: {{val| 0.0000 +0.2561 +0.2945 +0.2188 }} | |||
* [[POTE]]: ~2 = 1200.0000, ~320/243 = 475.5511 | |||
: error map: {{val| 0.0000 +0.2495 +0.2601 +0.3106 }} | |||
{{Optimal ET sequence|legend=1| 53, 164, 217, 270, 593, 863, 1133 }} | {{Optimal ET sequence|legend=1| 53, 164, 217, 270, 593, 863, 1133 }} | ||
[[Badness]]: 0.036985 | [[Badness]] (Smith): 0.036985 | ||
=== 11-limit === | === 11-limit === | ||
Line 50: | Line 58: | ||
Mapping: {{mapping| 1 0 -6 25 -33 | 0 4 21 -56 92 }} | Mapping: {{mapping| 1 0 -6 25 -33 | 0 4 21 -56 92 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1200.0000, ~320/243 = 475.5558 | |||
* POTE: ~2 = 1200.0000, ~320/243 = 475.5567 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 53, 217, 270, 2107c, 2377bc }} | ||
Badness: 0.031907 | Badness (Smith): 0.031907 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
Line 63: | Line 73: | ||
Mapping: {{mapping| 1 0 -6 25 -33 -7 | 0 4 21 -56 92 27 }} | Mapping: {{mapping| 1 0 -6 25 -33 -7 | 0 4 21 -56 92 27 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1200.0000, ~320/243 = 475.5566 | |||
* POTE: ~2 = 1200.0000, ~320/243 = 475.5572 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 53, 217, 270 }} | ||
Badness: 0.018758 | Badness (Smith): 0.018758 | ||
==== 17-limit ==== | ==== 17-limit ==== | ||
Line 76: | Line 88: | ||
Mapping: {{mapping| 1 0 -6 25 -33 -7 35 | 0 4 21 -56 92 27 -78 }} | Mapping: {{mapping| 1 0 -6 25 -33 -7 35 | 0 4 21 -56 92 27 -78 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1200.0000, ~112/85 = 475.5613 | |||
* POTE: ~2 = 1200.0000, ~112/85 = 475.5617 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 53, 217, 270, 487, 757g }} | ||
Badness: 0.020103 | Badness (Smith): 0.020103 | ||
==== 19-limit ==== | ==== 19-limit ==== | ||
Line 89: | Line 103: | ||
Mapping: {{mapping| 1 0 -6 25 -33 -7 35 -12 | 0 4 21 -56 92 27 -78 41 }} | Mapping: {{mapping| 1 0 -6 25 -33 -7 35 -12 | 0 4 21 -56 92 27 -78 41 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~2 = 1200.0000, ~25/19 = 475.5606 | |||
* POTE: ~2 = 1200.0000, , ~25/19 = 475.5615 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 53, 217, 270, 487, 757g }} | ||
Badness: 0.013850 | Badness (Smith): 0.013850 | ||
=== Semivulture === | === Semivulture === | ||
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: mapping generators: ~99/70, ~320/243 | : mapping generators: ~99/70, ~320/243 | ||
Optimal | Optimal tunings: | ||
* CTE: ~99/70 = 600.0000, ~320/243 = 475.5523 | |||
* POTE: ~99/70 = 600.0000, ~320/243 = 475.5496 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 106, 164, 270, 916, 1186, 1456 }} | ||
Badness: 0.040799 | Badness (Smith): 0.040799 | ||
==== 13-limit ==== | ==== 13-limit ==== | ||
Line 117: | Line 135: | ||
Mapping: {{mapping| 2 0 -12 50 41 -14 | 0 4 21 -56 -43 27 }} | Mapping: {{mapping| 2 0 -12 50 41 -14 | 0 4 21 -56 -43 27 }} | ||
Optimal | Optimal tunings: | ||
* CTE: ~99/70 = 600.0000, ~320/243 = 475.5540 | |||
* POTE: ~99/70 = 600.0000, ~320/243 = 475.553 | |||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 106, 164, 270 }} | ||
Badness: 0.035458 | Badness (Smith): 0.035458 | ||
== Buzzard == | == Buzzard == |