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
Line 20: Line 20:
: mapping generators: ~2, ~320/243
: mapping generators: ~2, ~320/243


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~320/243 = 475.5426
[[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, 3500b, 3823b, 4146b, 4469b }}
{{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]] ([[POTE]]): ~2 = 1\1, ~320/243 = 475.5511
[[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 tuning (POTE): ~2 = 1\1, ~320/243 = 475.5567
Optimal tunings:
* CTE: ~2 = 1200.0000, ~320/243 = 475.5558
* POTE: ~2 = 1200.0000, ~320/243 = 475.5567


{{Optimal ET sequence|legend=1| 53, 217, 270 }}
{{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 tuning (POTE): ~2 = 1\1, ~320/243 = 475.5572
Optimal tunings:
* CTE: ~2 = 1200.0000, ~320/243 = 475.5566
* POTE: ~2 = 1200.0000, ~320/243 = 475.5572


{{Optimal ET sequence|legend=1| 53, 217, 270 }}
{{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 tuning (POTE): ~2 = 1\1, ~112/85 = 475.5617
Optimal tunings:
* CTE: ~2 = 1200.0000, ~112/85 = 475.5613
* POTE: ~2 = 1200.0000, ~112/85 = 475.5617


{{Optimal ET sequence|legend=1| 53, 217, 270, 487, 757g }}
{{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 tuning (POTE): ~2 = 1\1, ~25/19 = 475.5615
Optimal tunings:
* CTE: ~2 = 1200.0000, ~25/19 = 475.5606
* POTE: ~2 = 1200.0000, , ~25/19 = 475.5615


{{Optimal ET sequence|legend=1| 53, 217, 270, 487, 757g }}
{{Optimal ET sequence|legend=0| 53, 217, 270, 487, 757g }}


Badness: 0.013850
Badness (Smith): 0.013850


=== Semivulture ===
=== Semivulture ===
Line 104: Line 120:
: mapping generators: ~99/70, ~320/243
: mapping generators: ~99/70, ~320/243


Optimal tuning (POTE): ~99/70 = 1\2, ~320/243 = 475.550
Optimal tunings:
* CTE: ~99/70 = 600.0000, ~320/243 = 475.5523
* POTE: ~99/70 = 600.0000, ~320/243 = 475.5496


{{Optimal ET sequence|legend=1| 106, 164, 270, 916, 1186, 1456 }}
{{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 tuning (POTE): ~99/70 = 1\2, ~320/243 = 475.553
Optimal tunings:
* CTE: ~99/70 = 600.0000, ~320/243 = 475.5540
* POTE: ~99/70 = 600.0000, ~320/243 = 475.553


{{Optimal ET sequence|legend=1| 106, 164, 270 }}
{{Optimal ET sequence|legend=0| 106, 164, 270 }}


Badness: 0.035458
Badness (Smith): 0.035458


== Buzzard ==
== Buzzard ==