Biyatismic clan: Difference between revisions

Line 17:

: mapping generators: ~2, ~3, ~11/10

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.4578{{c}}, ~11/10 = 157.7466{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.6628{{c}}, ~3/2 = 701.8452{{c}}, ~11/10 = 157.8337{{c}}

: [[error map]]: {{val| +0.663 +0.553 +1.190 -5.318 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9848{{c}}, ~11/10 = 157.6099{{c}}

: error map: {{val| 0.000 +0.030 +0.451 -6.943 }}

{{Optimal ET sequence|legend=1| 7, 15, 22, 31, 46, 53, 137e, 183ee, 190ee }}

[[Badness]] (~~Smith~~): 0.~~0297 × 10-3~~

[[Badness]] (Sintel): 0.245

== Zeus ==

Line 39:

Line 44:

: Angle (11/10, 11/8) = 87.464 degrees

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.1530{{c}}, ~11/10 = 157.0881{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.1693{{c}}, ~3/2 = 702.2521{{c}}, ~11/10 = 157.1102{{c}}

: [[error map]]: {{val| +0.169 +0.466 +2.057 +0.761 -5.668 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.2478{{c}}, ~11/10 = 157.1265{{c}}

: error map: {{val| 0.000 +0.293 +1.681 +0.306 -6.197 }}

[[Minimax tuning]]:

Line 48:

Line 58:

{{Optimal ET sequence|legend=1| 15, 22, 31, 46, 53, 68, 77, 99, 130e }}

[[Badness]] (~~Smith~~): 0.~~400 × 10-3~~

[[Badness]] (Sintel): 0.480

[[Projection pair]]s: 5 600/121 7 2662/375 11 120/11 to 2.3.11/5

Line 75:

Line 85:

: Angle (11/10, 11/8) = 106.7439 degrees

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.8679{{c}}, ~11/10 = 156.9582{{c}}

Optimal tunings:

* WE: ~2 = 1200.2411{{c}}, ~3/2 = 702.0090{{c}}, ~11/10 = 156.9897{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.8818{{c}}, ~11/10 = 156.9568{{c}}

Minimax tuning:

Line 85:

Line 98:

: unchanged-interval (eigenmonzo) basis: 2.3.7/5

{{Optimal ET sequence|legend=1| 15, 22, 31, 46, 53, 77, 99, 130e }}

{{Optimal ET sequence|legend=0| 15f, 22, 31, 46, 53, 77, 99, 130e }}

Badness (~~Smith~~): 0.~~934 × 10-3~~

Badness (Sintel): 0.873

Projection pairs: 5 600/121 7 2662/375 11 120/11 13 1280/99 to 2.3.11/5

Line 101:

Line 114:

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

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 699.3420{{c}}, ~11/10 = 155.3666{{c}}

Optimal tunings:

* WE: ~2 = 1199.9251{{c}}, ~3/2 = 699.2984{{c}}, ~11/10 = 155.3569{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.2982{{c}}, ~11/10 = 155.3484{{c}}

Badness (~~Smith~~): 0.~~808 × 10-3~~

Badness (Sintel): 0.756

== Artemis ==

Line 116:

Line 132:

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 699.8719{{c}}, ~11/10 = 158.3232{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1201.2783{{c}}, ~3/2 = 700.6174{{c}}, ~11/10 = 158.4919{{c}}

: [[error map]]: {{val| +1.278 -0.059 -0.123 +0.955 -5.357 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.2777{{c}}, ~11/10 = 158.3100{{c}}

: error map: {{val| 0.000 -1.677 -2.656 -0.955 -9.350 }}

{{Optimal ET sequence|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 60e, 84e, 91e, 113e, 144ee }}

~~{{Optimal ET sequence|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 82e, 84e, 113e, 144ee }}~~

[[Badness]] (Sintel): 0.713

=== 13-limit ===

Line 127:

Line 150:

Mapping: {{mapping| 1 0 1 -3 2 -5 | 0 1 1 4 1 6 | 0 0 -2 -4 -1 -6 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 698.7090{{c}}, ~11/10 = 158.7117{{c}}

Optimal tunings:

* WE: ~2 = 1201.7896{{c}}, ~3/2 = 699.7509{{c}}, ~11/10 = 158.9484{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.1687{{c}}, ~11/10 = 158.7345{{c}}

{{Optimal ET sequence|legend=0| 9, 20, 22f, 29, 31, 60e, 129cddee }}

~~{{Optimal ET sequence|legend=0| 9, 20, 22f, 29, 31 }}~~

Badness (Sintel): 1.04

=== Diana ===

Line 138:

Line 166:

Mapping: {{mapping| 1 0 1 -3 2 7 | 0 1 1 4 1 -2 | 0 0 -2 -4 -1 -1 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.9789{{c}}, ~11/10 = 159.0048{{c}}

Optimal tunings:

* WE: ~2 = 1200.9110{{c}}, ~3/2 = 701.5110{{c}}, ~11/10 = 159.1256{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.9717{{c}}, ~11/10 = 158.7903{{c}}

{{Optimal ET sequence|legend=0| 22, 29, 31, 53, 82e, 84e, 113e }}

~~{{Optimal ET sequence|legend=0| 22, 29, 31, 53, 82e, 84e, 113e, 166ee }}~~

Badness (Sintel): 1.07

== Oxpecker ==

Line 149:

Line 182:

[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~3/2 = 700.8882{{c}}, ~11/10 = 155.7756{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.4124{{c}}, ~3/2 = 701.1291{{c}}, ~11/10 = 155.8292{{c}}

: [[error map]]: {{val| +0.412 -0.414 +3.982 -1.435 -4.781 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.2359{{c}}, ~11/10 = 155.7399{{c}}

: error map: {{val| 0.000 -0.719 +3.442 -2.029 -5.822 }}

{{Optimal ET sequence|legend=1| 7d, 8d, 15, 23de, 24d, 31, 46, 77 }}

[[Badness]] (~~Smith~~): 0.~~699 × 10-3~~

[[Badness]] (Sintel): 0.840

=== Woodpecker ===

Line 162:

Line 200:

Mapping: {{mapping| 1 0 1 2 2 2 | 0 1 1 1 1 1 | 0 0 -2 -6 -1 1 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.5946{{c}}, ~11/10 = 154.8652{{c}}

Optimal tunings:

* WE: ~2 = 1198.9113{{c}}, ~3/2 = 700.9581{{c}}, ~11/10 = 154.7247{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.6409{{c}}, ~11/10 = 154.9115{{c}}

Badness (~~Smith~~): 1.~~093 × 10-3~~

Badness (Sintel): 1.02

== Big brother ==

Line 175:

Line 216:

[[Comma list]]: 99/98, 121/120

: mapping generators: ~2, ~3, ~11/7

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.6559{{c}}, ~3/2 = 700.2627{{c}}, ~11/7 = 771.8821{{c}}

: [[error map]]: {{val| +0.656 -1.036 +0.691 +4.237 -6.372 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.4019{{c}}, ~11/7 = 771.2671{{c}}

: error map: {{val| 0.000 -1.553 -0.039 +3.245 -7.980 }}

{{Optimal ET sequence|legend=1| 8d, 9, 14c, 17c, 22, 31, 53, 84e }}

[[Badness]]: 0.~~507 × 10-3~~

[[Badness]] (Sintel): 0.609

[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7

[[Projection pair]]s: <code>5 2401/486, 11 98/9</code> to 2.3.7

=== 13-limit ===

Line 190:

Line 238:

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

Optimal tunings:

* WE: ~2 = 1199.0121{{c}}, ~3/2 = 699.9867{{c}}, ~11/7 = 771.9817{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.7360{{c}}, ~11/7 = 773.0154{{c}}

{{Optimal ET sequence|legend=0| 8d, 9, 14c, 17c, 22f, 31, 79cf }}

Badness (Sintel): 0.889

== Aphrodite ==

Line 202:

Line 256:

: mapping generators: ~2, ~3, ~22/21

Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.3200{{c}}, ~21~~/20~~ = 78.6421{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1201.0691{{c}}, ~3/2 = 700.9439{{c}}, ~22/21 = 78.7122{{c}}

: [[error map]]: {{val| +1.069 +0.058 +1.920 -1.755 -4.591 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.8990{{c}}, ~22/21 = 78.4412{{c}}

: error map: {{val| 0.000 -1.056 +0.820 -4.150 -7.301 }}

{{Optimal ET sequence|legend=1| 14c, 15, 29, 31, 46, 60e, 77, 91e, 137de, 168dee }}

[[Badness]] (~~Smith~~): 0.~~583 × 10-3~~

[[Badness]] (Sintel): 0.701

==== 13-limit ====

Line 215:

Line 274:

Mapping: {{mapping| 1 0 1 3 2 6 | 0 1 1 0 1 -1 | 0 0 -4 -3 -2 -11 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.1158{{c}}, ~21/20 = 78.5211{{c}}

Optimal tunings:

* WE: ~2 = 1201.0656{{c}}, ~3/2 = 700.7374{{c}}, ~22/21 = 78.5908{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.7005{{c}}, ~22/21 = 78.3253{{c}}

{{Optimal ET sequence|legend=0| 14cf, 31, 45ef, 46, 77, 122ee, 137def, 168deef }}

{{Optimal ET sequence|legend=0| 14cf, 29ff, 31, 45ef, 46, 77, 122ee, 137def, 168deef }}

Badness (~~Smith~~): 1.~~456 × 10-3~~

Badness (Sintel): 1.36

==== Eros ====

Line 230:

Line 292:

Mapping: {{mapping| 1 0 1 3 2 7 | 0 1 1 0 1 -2 | 0 0 -4 -3 -2 -2 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.5014{{c}}, ~21/20 = 78.6143{{c}}

Optimal tunings:

* WE: ~2 = 1200.6419{{c}}, ~3/2 = 701.8766{{c}}, ~22/21 = 78.6564{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5612{{c}}, ~22/21 = 78.4778{{c}}

{{Optimal ET sequence|legend=0| 17c, 29, 31, 46, 60e, 77, 106de, 183dee }}

Badness (~~Smith~~): 1.~~150 × 10-3~~

Badness (Sintel): 1.08

===== 17-limit =====

Line 246:

Line 311:

Optimal tunings:

* ~~CTE~~: ~2 = 1200.~~0000~~{{c}}, ~3/2 = ~~701~~.~~9299~~{{c}}, ~22/21 = 78.~~2539~~{{c}}

* WE: ~2 = 1200.6172{{c}}, ~3/2 = 702.1026{{c}}, ~22/21 = 78.7963{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.7925{{c}}, ~22/21 = 78.6203{{c}}

{{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 77, 106de }}

Badness:

Badness (Sintel): 0.931

* Smith: 0.979 × 10-3

* Sintel: 0.931

===== 19-limit =====

Line 263:

Line 327:

Optimal tunings:

* ~~CTE~~: ~2 = 1200.~~0000~~{{c}}, ~3/2 = ~~701~~.~~5642~~{{c}}, ~22/21 = 78.~~2353~~{{c}}

* WE: ~2 = 1200.6224{{c}}, ~3/2 = 702.0959{{c}}, ~22/21 = 78.8004{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.6963{{c}}, ~22/21 = 78.6479{{c}}

{{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 75dfgh, 77, 106de }}

Badness:

Badness (Sintel): 1.16

* Smith: 1.13 × 10-3

* Sintel: 1.~~159~~

===== 23-limit =====

Line 280:

Line 343:

Optimal tunings:

* ~~CTE~~: ~2 = 1200.~~0000~~{{c}}, ~3/2 = ~~701~~.~~7115~~{{c}}, ~23/22 = 78.~~2054~~{{c}}

* WE: ~2 = 1200.7268{{c}}, ~3/2 = 702.2463{{c}}, ~22/21 = 78.8824{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.8010{{c}}, ~23/22 = 78.7188{{c}}

{{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 75dfgh, 77, 106de }}

Badness:

Badness (Sintel): 1.08

* Smith: 0.939 × 10-3

* Sintel: 1.~~084~~

==== Inanna ====

Line 296:

Line 358:

Mapping: {{mapping| 1 0 1 3 2 1 | 0 1 1 0 1 2 | 0 0 -4 -3 -2 -7 }}

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 698.7754{{c}}, ~21/20 = 79.6096{{c}}

Optimal tunings:

* WE: ~2 = 1201.7881{{c}}, ~3/2 = 699.8166{{c}}, ~22/21 = 79.7282{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.5926{{c}}, ~22/21 = 79.3822{{c}}

Badness (Sintel): 1.~~077 × 10-3~~

Badness (Sintel): 1.01

==== Ishtar ====

Line 309:

Line 374:

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

Optimal ~~tuning (~~POTE): ~2 = 1200.0000{{c}}, ~3/2 = 703.3952{{c}}, ~21/20 = 78.9578{{c}}

Optimal tunings:

* WE: ~2 = 1200.7875{{c}}, ~3/2 = 703.8568{{c}}, ~22/21 = 79.0096{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 703.7640{{c}}, ~22/21 = 78.8025{{c}}

{{Optimal ET sequence|legend=0| 14cf, 15, 17c, 29, 31f, 46, 106deff, 121def }}

Badness (Sintel): 1.~~151 × 10-3~~

Badness (Sintel): 1.08

== ~~Notes~~ ==

== References ==

[[Category:Temperament clans]]

@@ Line 17: / Line 17: @@
 : mapping generators: ~2, ~3, ~11/10
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.4578{{c}}, ~11/10 = 157.7466{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.6628{{c}}, ~3/2 = 701.8452{{c}}, ~11/10 = 157.8337{{c}}
+: [[error map]]: {{val| +0.663 +0.553 +1.190 -5.318 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9848{{c}}, ~11/10 = 157.6099{{c}}
+: error map: {{val| 0.000 +0.030 +0.451 -6.943 }}
+<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.4578{{c}}, ~11/10 = 157.7466{{c}} -->
 {{Optimal ET sequence|legend=1| 7, 15, 22, 31, 46, 53, 137e, 183ee, 190ee }}
-[[Badness]] (Smith): 0.0297 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.245
 == Zeus ==
@@ Line 39: / Line 44: @@
 : Angle (11/10, 11/8) = 87.464 degrees
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.1530{{c}}, ~11/10 = 157.0881{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.1693{{c}}, ~3/2 = 702.2521{{c}}, ~11/10 = 157.1102{{c}}
+: [[error map]]: {{val| +0.169 +0.466 +2.057 +0.761 -5.668 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.2478{{c}}, ~11/10 = 157.1265{{c}}
+: error map: {{val| 0.000 +0.293 +1.681 +0.306 -6.197 }}
+<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1530{{c}}, ~11/10 = 157.0881{{c}} -->
 [[Minimax tuning]]:
@@ Line 48: / Line 58: @@
 {{Optimal ET sequence|legend=1| 15, 22, 31, 46, 53, 68, 77, 99, 130e }}
-[[Badness]] (Smith): 0.400 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.480
 [[Projection pair]]s: 5 600/121 7 2662/375 11 120/11 to 2.3.11/5
@@ Line 75: / Line 85: @@
 : Angle (11/10, 11/8) = 106.7439 degrees
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.8679{{c}}, ~11/10 = 156.9582{{c}}
+Optimal tunings:
+* WE: ~2 = 1200.2411{{c}}, ~3/2 = 702.0090{{c}}, ~11/10 = 156.9897{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.8818{{c}}, ~11/10 = 156.9568{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.8679{{c}}, ~11/10 = 156.9582{{c}} -->
 Minimax tuning:
@@ Line 85: / Line 98: @@
 : unchanged-interval (eigenmonzo) basis: 2.3.7/5
-{{Optimal ET sequence|legend=1| 15, 22, 31, 46, 53, 77, 99, 130e }}
+{{Optimal ET sequence|legend=0| 15f, 22, 31, 46, 53, 77, 99, 130e }}
-Badness (Smith): 0.934 × 10<sup>-3</sup>
+Badness (Sintel): 0.873
 Projection pairs: 5 600/121 7 2662/375 11 120/11 13 1280/99 to 2.3.11/5
@@ Line 101: / Line 114: @@
 Mapping: {{mapping| 1 0 1 4 2 2 | 0 1 1 -1 1 1 | 0 0 -2 3 -1 -1 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 699.3420{{c}}, ~11/10 = 155.3666{{c}}
+Optimal tunings:
+* WE: ~2 = 1199.9251{{c}}, ~3/2 = 699.2984{{c}}, ~11/10 = 155.3569{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.2982{{c}}, ~11/10 = 155.3484{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 699.3420{{c}}, ~11/10 = 155.3666{{c}} -->
 {{Optimal ET sequence|legend=0| 7, 9, 15, 22f, 24, 31 }}
-Badness (Smith): 0.808 × 10<sup>-3</sup>
+Badness (Sintel): 0.756
 == Artemis ==
@@ Line 116: / Line 132: @@
 {{Mapping|legend=1| 1 0 1 -3 2 | 0 1 1 4 1 | 0 0 -2 -4 -1 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 699.8719{{c}}, ~11/10 = 158.3232{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1201.2783{{c}}, ~3/2 = 700.6174{{c}}, ~11/10 = 158.4919{{c}}
+: [[error map]]: {{val| +1.278 -0.059 -0.123 +0.955 -5.357 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.2777{{c}}, ~11/10 = 158.3100{{c}}
+: error map: {{val| 0.000 -1.677 -2.656 -0.955 -9.350 }}
+<!-- * [[POTE]]: ~2 = 1200.0000{{c}}, ~3/2 = 699.8719{{c}}, ~11/10 = 158.3232{{c}} -->
+{{Optimal ET sequence|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 60e, 84e, 91e, 113e, 144ee }}
-{{Optimal ET sequence|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 82e, 84e, 113e, 144ee }}
+[[Badness]] (Sintel): 0.713
 === 13-limit ===
@@ Line 127: / Line 150: @@
 Mapping: {{mapping| 1 0 1 -3 2 -5 | 0 1 1 4 1 6 | 0 0 -2 -4 -1 -6 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 698.7090{{c}}, ~11/10 = 158.7117{{c}}
+Optimal tunings:
+* WE: ~2 = 1201.7896{{c}}, ~3/2 = 699.7509{{c}}, ~11/10 = 158.9484{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.1687{{c}}, ~11/10 = 158.7345{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 698.7090{{c}}, ~11/10 = 158.7117{{c}} -->
+{{Optimal ET sequence|legend=0| 9, 20, 22f, 29, 31, 60e, 129cddee }}
-{{Optimal ET sequence|legend=0| 9, 20, 22f, 29, 31 }}
+Badness (Sintel): 1.04
 === Diana ===
@@ Line 138: / Line 166: @@
 Mapping: {{mapping| 1 0 1 -3 2 7 | 0 1 1 4 1 -2 | 0 0 -2 -4 -1 -1 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.9789{{c}}, ~11/10 = 159.0048{{c}}
+Optimal tunings:
+* WE: ~2 = 1200.9110{{c}}, ~3/2 = 701.5110{{c}}, ~11/10 = 159.1256{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.9717{{c}}, ~11/10 = 158.7903{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 700.9789{{c}}, ~11/10 = 159.0048{{c}} -->
+{{Optimal ET sequence|legend=0| 22, 29, 31, 53, 82e, 84e, 113e }}
-{{Optimal ET sequence|legend=0| 22, 29, 31, 53, 82e, 84e, 113e, 166ee }}
+Badness (Sintel): 1.07
 == Oxpecker ==
@@ Line 149: / Line 182: @@
 {{Mapping|legend=1| 1 0 1 2 2 | 0 1 1 1 1 | 0 0 -2 -6 -1 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.000{{c}}, ~3/2 = 700.8882{{c}}, ~11/10 = 155.7756{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.4124{{c}}, ~3/2 = 701.1291{{c}}, ~11/10 = 155.8292{{c}}
+: [[error map]]: {{val| +0.412 -0.414 +3.982 -1.435 -4.781 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.2359{{c}}, ~11/10 = 155.7399{{c}}
+: error map: {{val| 0.000 -0.719 +3.442 -2.029 -5.822 }}
+<!-- * [[POTE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.8882{{c}}, ~11/10 = 155.7756{{c}} -->
 {{Optimal ET sequence|legend=1| 7d, 8d, 15, 23de, 24d, 31, 46, 77 }}
-[[Badness]] (Smith): 0.699 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.840
 === Woodpecker ===
@@ Line 162: / Line 200: @@
 Mapping: {{mapping| 1 0 1 2 2 2 | 0 1 1 1 1 1 | 0 0 -2 -6 -1 1 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.5946{{c}}, ~11/10 = 154.8652{{c}}
+Optimal tunings:
+* WE: ~2 = 1198.9113{{c}}, ~3/2 = 700.9581{{c}}, ~11/10 = 154.7247{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.6409{{c}}, ~11/10 = 154.9115{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5946{{c}}, ~11/10 = 154.8652{{c}} -->
 {{Optimal ET sequence|legend=0| 7d, 8d, 15, 23de, 24d, 31 }}
-Badness (Smith): 1.093 × 10<sup>-3</sup>
+Badness (Sintel): 1.02
 == Big brother ==
@@ Line 175: / Line 216: @@
 [[Comma list]]: 99/98, 121/120
-{{Mapping|legend=1| 1 0 3 1 3 | 0 1 3 2 2 | 0 0 -4 -1 -2 }}
+{{Mapping|legend=1| 1 0 -5 -1 -1 | 0 1 3 2 2 | 0 0 4 1 2 }}
+: mapping generators: ~2, ~3, ~11/7
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.6559{{c}}, ~3/2 = 700.2627{{c}}, ~11/7 = 771.8821{{c}}
+: [[error map]]: {{val| +0.656 -1.036 +0.691 +4.237 -6.372 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.4019{{c}}, ~11/7 = 771.2671{{c}}
+: error map: {{val| 0.000 -1.553 -0.039 +3.245 -7.980 }}
-{{Optimal ET sequence|legend=1| 8d, 9, 22, 31, 53 }}
+{{Optimal ET sequence|legend=1| 8d, 9, 14c, 17c, 22, 31, 53, 84e }}
-[[Badness]]: 0.507 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.609
-[[Projection pair]]s: 5 2401/486 11 98/9 to 2.3.7
+[[Projection pair]]s: <code>5 2401/486, 11 98/9</code> to 2.3.7
 === 13-limit ===
@@ Line 190: / Line 238: @@
 Mapping: {{mapping| 1 0 3 1 3 1 | 0 1 3 2 2 0 | 0 0 -4 -1 -2 2 }}
-{{Optimal ET sequence|legend=0| 8d, 9, 22f, 31 }}
+Optimal tunings:
+* WE: ~2 = 1199.0121{{c}}, ~3/2 = 699.9867{{c}}, ~11/7 = 771.9817{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.7360{{c}}, ~11/7 = 773.0154{{c}}
+{{Optimal ET sequence|legend=0| 8d, 9, 14c, 17c, 22f, 31, 79cf }}
+Badness (Sintel): 0.889
 == Aphrodite ==
@@ Line 202: / Line 256: @@
 : mapping generators: ~2, ~3, ~22/21
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.3200{{c}}, ~21/20 = 78.6421{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1201.0691{{c}}, ~3/2 = 700.9439{{c}}, ~22/21 = 78.7122{{c}}
+: [[error map]]: {{val| +1.069 +0.058 +1.920 -1.755 -4.591 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.8990{{c}}, ~22/21 = 78.4412{{c}}
+: error map: {{val| 0.000 -1.056 +0.820 -4.150 -7.301 }}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 700.3200{{c}}, ~22/21 = 78.6421{{c}} -->
 {{Optimal ET sequence|legend=1| 14c, 15, 29, 31, 46, 60e, 77, 91e, 137de, 168dee }}
-[[Badness]] (Smith): 0.583 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.701
 ==== 13-limit ====
@@ Line 215: / Line 274: @@
 Mapping: {{mapping| 1 0 1 3 2 6 | 0 1 1 0 1 -1 | 0 0 -4 -3 -2 -11 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 700.1158{{c}}, ~21/20 = 78.5211{{c}}
+Optimal tunings:
+* WE: ~2 = 1201.0656{{c}}, ~3/2 = 700.7374{{c}}, ~22/21 = 78.5908{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.7005{{c}}, ~22/21 = 78.3253{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 700.1158{{c}}, ~21/20 = 78.5211{{c}} -->
-{{Optimal ET sequence|legend=0| 14cf, 31, 45ef, 46, 77, 122ee, 137def, 168deef }}
+{{Optimal ET sequence|legend=0| 14cf, 29ff, 31, 45ef, 46, 77, 122ee, 137def, 168deef }}
-Badness (Smith): 1.456 × 10<sup>-3</sup>
+Badness (Sintel): 1.36
 ==== Eros ====
@@ Line 230: / Line 292: @@
 Mapping: {{mapping| 1 0 1 3 2 7 | 0 1 1 0 1 -2 | 0 0 -4 -3 -2 -2 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.5014{{c}}, ~21/20 = 78.6143{{c}}
+Optimal tunings:
+* WE: ~2 = 1200.6419{{c}}, ~3/2 = 701.8766{{c}}, ~22/21 = 78.6564{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5612{{c}}, ~22/21 = 78.4778{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5014{{c}}, ~21/20 = 78.6143{{c}} -->
 {{Optimal ET sequence|legend=0| 17c, 29, 31, 46, 60e, 77, 106de, 183dee }}
-Badness (Smith): 1.150 × 10<sup>-3</sup>
+Badness (Sintel): 1.08
 ===== 17-limit =====
@@ Line 246: / Line 311: @@
 Optimal tunings:
-* CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.9299{{c}}, ~22/21 = 78.2539{{c}}
+* WE: ~2 = 1200.6172{{c}}, ~3/2 = 702.1026{{c}}, ~22/21 = 78.7963{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.7925{{c}}, ~22/21 = 78.6203{{c}}
+<!-- * CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.9299{{c}}, ~22/21 = 78.2539{{c}} -->
 {{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 77, 106de }}
-Badness:
+Badness (Sintel): 0.931
-* Smith: 0.979 × 10<sup>-3</sup>
-* Sintel: 0.931
 ===== 19-limit =====
@@ Line 263: / Line 327: @@
 Optimal tunings:
-* CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5642{{c}}, ~22/21 = 78.2353{{c}}
+* WE: ~2 = 1200.6224{{c}}, ~3/2 = 702.0959{{c}}, ~22/21 = 78.8004{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.6963{{c}}, ~22/21 = 78.6479{{c}}
+<!-- * CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.5642{{c}}, ~22/21 = 78.2353{{c}} -->
 {{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 75dfgh, 77, 106de }}
-Badness:
+Badness (Sintel): 1.16
-* Smith: 1.13 × 10<sup>-3</sup>
-* Sintel: 1.159
 ===== 23-limit =====
@@ Line 280: / Line 343: @@
 Optimal tunings:
-* CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.7115{{c}}, ~23/22 = 78.2054{{c}}
+* WE: ~2 = 1200.7268{{c}}, ~3/2 = 702.2463{{c}}, ~22/21 = 78.8824{{c}}
 * CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.8010{{c}}, ~23/22 = 78.7188{{c}}
+<!-- * CTE: ~2 = 1200.0000{{c}}, ~3/2 = 701.7115{{c}}, ~23/22 = 78.2054{{c}} -->
 {{Optimal ET sequence|legend=0| 17cg, 29g, 31, 46, 60e, 75dfgh, 77, 106de }}
-Badness:
+Badness (Sintel): 1.08
-* Smith: 0.939 × 10<sup>-3</sup>
-* Sintel: 1.084
 ==== Inanna ====
@@ Line 296: / Line 358: @@
 Mapping: {{mapping| 1 0 1 3 2 1 | 0 1 1 0 1 2 | 0 0 -4 -3 -2 -7 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 698.7754{{c}}, ~21/20 = 79.6096{{c}}
+Optimal tunings:
+* WE: ~2 = 1201.7881{{c}}, ~3/2 = 699.8166{{c}}, ~22/21 = 79.7282{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.5926{{c}}, ~22/21 = 79.3822{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 698.7754{{c}}, ~21/20 = 79.6096{{c}} -->
 {{Optimal ET sequence|legend=0| 14cf, 15, 29, 31, 45ef, 60e }}
-Badness (Sintel): 1.077 × 10<sup>-3</sup>
+Badness (Sintel): 1.01
 ==== Ishtar ====
@@ Line 309: / Line 374: @@
 Mapping: {{mapping| 1 0 1 3 2 -1 | 0 1 1 0 1 3 | 0 0 -4 -3 -2 -1 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 703.3952{{c}}, ~21/20 = 78.9578{{c}}
+Optimal tunings:
+* WE: ~2 = 1200.7875{{c}}, ~3/2 = 703.8568{{c}}, ~22/21 = 79.0096{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 703.7640{{c}}, ~22/21 = 78.8025{{c}}
+<!-- * POTE: ~2 = 1200.0000{{c}}, ~3/2 = 703.3952{{c}}, ~21/20 = 78.9578{{c}} -->
 {{Optimal ET sequence|legend=0| 14cf, 15, 17c, 29, 31f, 46, 106deff, 121def }}
-Badness (Sintel): 1.151 × 10<sup>-3</sup>
+Badness (Sintel): 1.08
-== Notes ==
+== References ==
 [[Category:Temperament clans]]