Shibboleth family: Difference between revisions

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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.852

[[Optimal tuning]]s:

* [[CTE]]: ~2 = 1\1, ~6/5 = 321.773

* [[POTE]]: ~2 = 1\1, ~6/5 = 321.852

{{Optimal ET sequence|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }}

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== Superkleismic ==

~~{{See also| Gamelismic clan #Superkleismic }}~~

The S-expression-based comma list of superkleismic is {[[875/864|S5/S6]], [[1029/1024|S7/S8]], [[100/99|S10]], [[144/143|S12]](, [[441/440|S21]])}. Through careful observation of the equivalences therein one can derive that a sharpened ~6/5 is the generator as well as the mapping of the full 13-limit.

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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.930

[[Optimal tuning]]s:

* [[CTE]]: ~2 = 1\1, ~6/5 = 321.798

* [[POTE]]: ~2 = 1\1, ~6/5 = 321.930

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Mapping: {{mapping| 1 4 5 2 4 | 0 -9 -10 3 -2 }}

Optimal ~~tuning (~~POTE): ~2 = 1\1, ~6/5 = 321.847

Optimal tunings:

* CTE: ~2 = 1\1, ~6/5 = 321.815

* POTE: ~2 = 1\1, ~6/5 = 321.847

{{Optimal ET sequence~~|legend=1~~| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }}

Optimal ET sequence: {{Optimal ET sequence| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }}

Badness: 0.025659

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Mapping: {{mapping| 1 4 5 2 4 8 | 0 -9 -10 3 -2 -16 }}

Optimal ~~tuning (~~POTE): ~2 = 1\1, ~6/5 = 321.994

Optimal tunings:

* CTE: ~2 = 1\1, ~6/5 = 321.986

* POTE: ~2 = 1\1, ~6/5 = 321.994

Optimal ET sequence: {{Optimal ET sequence| 11cf, 15, 26, 41 }}

Badness: 0.021478

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[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.423

[[Optimal tuning]]s:

* [[CTE]]: ~2 = 1\1, ~6/5 = 321.109

* [[POTE]]: ~2 = 1\1, ~6/5 = 321.423

@@ Line 11: / Line 11: @@
 {{Mapping|legend=1| 1 4 5 | 0 -9 -10 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.852
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~6/5 = 321.773
+* [[POTE]]: ~2 = 1\1, ~6/5 = 321.852
 {{Optimal ET sequence|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }}
@@ Line 19: / Line 21: @@
 == Superkleismic ==
 {{Main| Superkleismic }}
-{{See also| Gamelismic clan #Superkleismic }}
 The S-expression-based comma list of superkleismic is {[[875/864|S5/S6]], [[1029/1024|S7/S8]], [[100/99|S10]], [[144/143|S12]](, [[441/440|S21]])}. Through careful observation of the equivalences therein one can derive that a sharpened ~6/5 is the generator as well as the mapping of the full 13-limit.
@@ Line 30: / Line 32: @@
 {{Multival|legend=1| 9 10 -3 -5 -30 -35 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.930
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~6/5 = 321.798
+* [[POTE]]: ~2 = 1\1, ~6/5 = 321.930
 {{Optimal ET sequence|legend=1| 11c, 15, 26, 41 }}
@@ Line 43: / Line 47: @@
 Mapping: {{mapping| 1 4 5 2 4 | 0 -9 -10 3 -2 }}
-Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.847
+Optimal tunings:
+* CTE: ~2 = 1\1, ~6/5 = 321.815
+* POTE: ~2 = 1\1, ~6/5 = 321.847
-{{Optimal ET sequence|legend=1| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }}
+Optimal ET sequence: {{Optimal ET sequence| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }}
 Badness: 0.025659
@@ Line 56: / Line 62: @@
 Mapping: {{mapping| 1 4 5 2 4 8 | 0 -9 -10 3 -2 -16 }}
-Optimal tuning (POTE): ~2 = 1\1, ~6/5 = 321.994
+Optimal tunings:
+* CTE: ~2 = 1\1, ~6/5 = 321.986
+* POTE: ~2 = 1\1, ~6/5 = 321.994
-{{Optimal ET sequence|legend=1| 11cf, 15, 26, 41 }}
+Optimal ET sequence: {{Optimal ET sequence| 11cf, 15, 26, 41 }}
 Badness: 0.021478
@@ Line 71: / Line 79: @@
 {{Multival|legend=1| 9 10 12 -5 -6 0 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~6/5 = 321.423
+[[Optimal tuning]]s:
+* [[CTE]]: ~2 = 1\1, ~6/5 = 321.109
+* [[POTE]]: ~2 = 1\1, ~6/5 = 321.423
 {{Optimal ET sequence|legend=1| 11cd, 15, 41dd, 56dd }}