Whitewood family: Difference between revisions
+CTE tunings and error maps; restore POTE tunings for greenwood. Spell 1\7 etc. in decimal. Note the badness metric being used. Misc. cleanup |
+reduced generators |
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| Line 19: | Line 19: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~9/8 = 171.429, ~5/4 = 386.314 | * [[CTE]]: ~9/8 = 171.429, ~5/4 = 386.314 (~80/81 = 43.457) | ||
: [[error map]]: {{val| 0.000 -16.241 0.000 }} | : [[error map]]: {{val| 0.000 -16.241 0.000 }} | ||
* [[POTE]]: ~9/8 = 171.429, ~5/4 = 374.469 | * [[POTE]]: ~9/8 = 171.429, ~5/4 = 374.469 (~80/81 = 31.612) | ||
: error map: {{val| 0.000 -16.241 -11.845 }} | : error map: {{val| 0.000 -16.241 -11.845 }} | ||
| Line 38: | Line 38: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~9/8 = 171.429, ~5/4 = 392.930 | * [[CTE]]: ~9/8 = 171.429, ~5/4 = 392.930 (~64/63 = 50.073) | ||
: [[error map]]: {{val| 0.000 -16.241 +6.617 +9.672 }} | : [[error map]]: {{val| 0.000 -16.241 +6.617 +9.672 }} | ||
* [[POTE]]: ~9/8 = 171.429, ~5/4 = 392.700 | * [[POTE]]: ~9/8 = 171.429, ~5/4 = 392.700 (~64/63 = 49.843) | ||
: error map: {{val| 0.000 -16.241 +6.386 +9.903 }} | : error map: {{val| 0.000 -16.241 +6.386 +9.903 }} | ||
| Line 55: | Line 55: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~5/4 = 390.178 | * CTE: ~9/8 = 171.429, ~5/4 = 390.178 (~64/63 = 47.321) | ||
* POTE: ~9/8 = 171.429, ~5/4 = 389.968 | * POTE: ~9/8 = 171.429, ~5/4 = 389.968 (~64/63 = 47.111) | ||
{{Optimal ET sequence|legend=0| 7, 14e, 21, 28, 49b }} | {{Optimal ET sequence|legend=0| 7, 14e, 21, 28, 49b }} | ||
| Line 70: | Line 70: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~5/4 = 390.178 | * CTE: ~9/8 = 171.429, ~5/4 = 390.178 (~64/63 = 47.321) | ||
* POTE: ~9/8 = 171.429, ~5/4 = 390.735 | * POTE: ~9/8 = 171.429, ~5/4 = 390.735 (~64/63 = 47.878) | ||
{{Optimal ET sequence|legend=0| 7, 14e, 21, 28, 49bf }} | {{Optimal ET sequence|legend=0| 7, 14e, 21, 28, 49bf }} | ||
| Line 87: | Line 87: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~9/8 = 171.429, ~5/4 = 376.366 | * [[CTE]]: ~9/8 = 171.429, ~5/4 = 376.366 (~36/35 = 33.509) | ||
: [[error map]]: {{val| 0.000 -16.241 -9.948 -7.271 }} | : [[error map]]: {{val| 0.000 -16.241 -9.948 -7.271 }} | ||
* [[POTE]]: ~9/8 = 171.429, ~5/4 = 378.152 | * [[POTE]]: ~9/8 = 171.429, ~5/4 = 378.152 (~36/35 = 35.295) | ||
: error map: {{val| 0.000 -16.241 -8.162 -10.845 }} | : error map: {{val| 0.000 -16.241 -8.162 -10.845 }} | ||
| Line 104: | Line 104: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~5/4 = 376.745 | * CTE: ~9/8 = 171.429, ~5/4 = 376.745 (~36/35 = 33.888) | ||
* POTE: ~9/8 = 171.429, ~5/4 = 376.711 | * POTE: ~9/8 = 171.429, ~5/4 = 376.711 (~36/35 = 33.854) | ||
{{Optimal ET sequence|legend=0| 7, 28d, 35 }} | {{Optimal ET sequence|legend=0| 7, 28d, 35 }} | ||
| Line 121: | Line 121: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~9/8 = 171.429, ~5/4 = 386.314 | * [[CTE]]: ~9/8 = 171.429, ~5/4 = 386.314 (~80/81 = 43.457) | ||
: [[error map]]: {{val| 0.000 -16.241 0.000 +59.746 }} | : [[error map]]: {{val| 0.000 -16.241 0.000 +59.746 }} | ||
* [[POTE]]: ~9/8 = 171.429, ~5/4 = 395.187 | * [[POTE]]: ~9/8 = 171.429, ~5/4 = 395.187 (~15/14 = 52.330) | ||
: error map: {{val| 0.000 -16.241 +8.873 +59.746 }} | : error map: {{val| 0.000 -16.241 +8.873 +59.746 }} | ||
| Line 138: | Line 138: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~5/4 = 384.318 | * CTE: ~9/8 = 171.429, ~5/4 = 384.318 (~33/32 = 41.461) | ||
* POTE: ~9/8 = 171.429, ~5/4 = 394.661 | * POTE: ~9/8 = 171.429, ~5/4 = 394.661 (~33/32 = 51.804) | ||
{{Optimal ET sequence|legend=0| 7, 14de }} | {{Optimal ET sequence|legend=0| 7, 14de }} | ||
| Line 153: | Line 153: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~5/4 = 384.318 | * CTE: ~9/8 = 171.429, ~5/4 = 384.318 (~33/32 = 41.461) | ||
* POTE: ~9/8 = 171.429, ~5/4 = 395.071 | * POTE: ~9/8 = 171.429, ~5/4 = 395.071 (~33/32 = 52.214) | ||
{{Optimal ET sequence|legend=0| 7, 14de }} | {{Optimal ET sequence|legend=0| 7, 14de }} | ||
| Line 172: | Line 172: | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[CTE]]: ~9/8 = 171.429, ~15/14 = 108.062 | * [[CTE]]: ~9/8 = 171.429, ~15/14 = 108.062 (~21/20 = 63.367) | ||
: [[error map]]: {{val| 0.000 -16.241 +1.239 -3.621 }} | : [[error map]]: {{val| 0.000 -16.241 +1.239 -3.621 }} | ||
* [[POTE]]: ~9/8 = 171.429, ~15/14 = 101.367 | * [[POTE]]: ~9/8 = 171.429, ~15/14 = 101.367 (~21/20 = 70.062) | ||
: error map: {{val| 0.000 -16.241 -12.152 -10.316 }} | : error map: {{val| 0.000 -16.241 -12.152 -10.316 }} | ||
| Line 189: | Line 189: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~15/14 = 106.997 | * CTE: ~9/8 = 171.429, ~15/14 = 106.997 (~21/20 = 64.432) | ||
* POTE: ~9/8 = 171.429, ~15/14 = 100.046 | * POTE: ~9/8 = 171.429, ~15/14 = 100.046 (~21/20 = 71.383) | ||
{{Optimal ET sequence|legend=0| 7ce, 14c, 21, 35, 49bcde }} | {{Optimal ET sequence|legend=0| 7ce, 14c, 21, 35, 49bcde }} | ||
| Line 204: | Line 204: | ||
Optimal tunings: | Optimal tunings: | ||
* CTE: ~9/8 = 171.429, ~15/14 = 106.997 | * CTE: ~9/8 = 171.429, ~15/14 = 106.997 (~21/20 = 64.432) | ||
* POTE: ~9/8 = 171.429, ~15/14 = 104.250 | * POTE: ~9/8 = 171.429, ~15/14 = 104.250 (~21/20 = 67.179) | ||
{{Optimal ET sequence|legend=0| 7ce, 14c, 21, 35 }} | {{Optimal ET sequence|legend=0| 7ce, 14c, 21, 35 }} | ||