Lehmerismic temperaments: Difference between revisions

Line 1:

~~These are~~ [[rank-3 temperament]]~~s tempering~~ out [[3025/3024]]. Temperaments discussed elsewhere are:

This is a collection of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] that [[temper out]] the lehmerisma, [[3025/3024]].

Temperaments discussed elsewhere are:

* ''[[Oxpecker]]'' (+121/120 or 126/125) → [[Biyatismic clan #Oxpecker|Biyatismic clan]]

* ''[[Manwe]]'' (+176/175) → [[Valinorsmic clan #Manwe|Valinorsmic clan]]

Line 23:

Line 25:

: mapping generators: ~63/50, ~400/231, ~5

[[Optimal tuning]]s:

* [[WE]]: ~63/50 = 400.0162{{c}}, ~400/231 = 950.9828{{c}}, ~5/4 = 386.2400{{c}}

: [[error map]]: {{val| +0.049 +0.011 +0.024 -0.017 -0.205 }}

* [[CWE]]: ~63/50 = 400.0000{{c}}, ~400/231 = 950.9591{{c}}, ~5/4 = 386.2764{{c}}

: error map: {{val| 0.000 -0.037 -0.037 -0.109 -0.359 }}

{{Optimal ET sequence|legend=1| 15, 24d, 33cd, 39d, 54c, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566, 2091e, 2361e, 2433e, 2703e, 3045e, 3315ee, 3657ee }}

[[Badness]] (~~Smith~~): 0.~~259 × 10-3~~

[[Badness]] (Sintel): 0.311

=== Borneo ===

Line 34:

Line 42:

Mapping: {{mapping| 3 0 0 4 8 -3 | 0 2 0 -4 1 3 | 0 0 1 2 0 1 }}

Optimal tunings:

* WE: ~63/50 = 400.0002{{c}}, ~26/15 = 951.0850{{c}}, ~5/4 = 386.5817{{c}}

* CWE: ~63/50 = 400.0000{{c}}, ~26/15 = 951.0846{{c}}, ~5/4 = 386.5821{{c}}

{{Optimal ET sequence|legend=0| 15, 24d, 33cdff, 39df, 57f, 72, 111, 159, 183, 198, 270 }}

Badness (~~Smith~~): 0.~~549 × 10-3~~

Badness (Sintel): 0.514

Complexity spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7

Line 46:

Line 58:

[[Comma list]]: 3025/3024, 703125/702464

: mapping generators: ~2, ~3, ~18/11

: mapping generators: ~2, ~3, ~11/9

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1200.0399{{c}}, ~3/2 = 701.9113{{c}}, ~11/9 = 347.3783{{c}}

: [[error map]]: {{val| +0.040 -0.004 -0.132 +0.085 -0.037 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9144{{c}}, ~11/9 = 347.3654{{c}}

: error map: {{val| 0.000 -0.041 -0.207 +0.033 -0.124 }}

{{Optimal ET sequence|legend=1| 31, 90e, 114de, 121, 152, 311, 342, 836, 1178, 2014, 3192ce, 5206ce }}

{{Optimal ET sequence|legend=1| 24d, 31, 90e, 114de, 121, 152, 311, 342, 836, 1178, 2014, 3192ce, 5206ce }}

[[Badness]] (~~Smith~~): 0.~~349 × 10-3~~

[[Badness]] (Sintel): 0.419

== Ganesha ==

Line 62:

Line 80:

[[Optimal tuning]] ([[~~POTE~~]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.~~2251~~{{c}}, ~5/4 = 386.~~6908~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.9176{{c}}, ~3/2 = 702.1769{{c}}, ~5/4 = 386.6642{{c}}

: [[error map]]: {{val| -0.082 +0.139 +0.186 +0.075 -0.390 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1836{{c}}, ~5/4 = 386.6860{{c}}

: error map: {{val| 0.000 +0.229 +0.372 +0.218 -0.207 }}

{{Optimal ET sequence|legend=1| 31, 65d, 87, 118, 152, 239, 270, 962, 1232, 1502 }}

[[Badness]] (~~Smith~~): 0.~~390 × 10-3~~

[[Badness]] (Sintel): 0.469

== Hanuman ==

Line 75:

Line 97:

: mapping generators: ~2, ~11/10, ~5

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.9539{{c}}, ~11/10 = 165.9317{{c}}, ~5/4 = 385.9220{{c}}

: [[error map]]: {{val| -0.046 +0.158 -0.484 +0.111 +0.398 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.9501{{c}}, ~5/4 = 385.8882{{c}}

: error map: {{val| 0.000 +0.195 -0.426 +0.178 +0.520 }}

{{Optimal ET sequence|legend=1| 15, 42bc, 49bcde, 50d, 57, 65d, 72, 152, 224, 311, 463, 535, 998 }}

[[Badness]] (~~Smith~~): 0.~~500 × 10-3~~

[[Badness]] (Sintel): 0.600

=== 13-limit ===

Line 86:

Line 114:

Mapping: {{mapping| 1 2 0 -8 1 -6 | 0 -3 0 11 1 3 | 0 0 1 4 1 4 }}

Optimal tunings:

* WE: ~2 = 1200.0188{{c}}, ~11/10 = 166.0060{{c}}, ~5/4 = 385.6865{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~11/10 = 166.0007{{c}}, ~5/4 = 385.6918{{c}}

{{Optimal ET sequence|legend=0| 15, 50d, 57f, 65d, 72, 87, 137, 152f, 224, 311, 535, 918c }}

Badness (~~Smith~~): 0.~~653 × 10-3~~

Badness (Sintel): 0.610

== Lux ==

Line 98:

Line 130:

[[Comma list]]: 3025/3024, 131072/130977

: mapping generators: ~2, ~3, ~55/48

[[Optimal tuning]] ([[~~POTE~~]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.~~1117~~{{c}}, ~55/48 = 235.~~5784~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.9605{{c}}, ~3/2 = 702.0886{{c}}, ~55/48 = 235.5706{{c}}

: [[error map]]: {{val| -0.039 +0.094 -0.067 +0.108 -0.103 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1120{{c}}, ~55/48 = 235.5763{{c}}

: error map: {{val| 0.000 +0.157 +0.016 +0.215 +0.041 }}

{{Optimal ET sequence|legend=1| 41, 87, 137, 178, 183, 224, 270, 494, 764, 1839, 2109, 2603, 3367d }}

[[Badness]] (~~Smith~~): 0.~~508 × 10-3~~

[[Badness]] (Sintel): 0.611

=== 13-limit ===

Line 111:

Line 148:

Comma list: 2080/2079, 3025/3024, 4096/4095

Mapping: {{mapping| 1 0 ~~0 6~~ 5 6 | 0 1 4 -1 -3 -5 | 0 0 -5 -2 4 7 }}

Mapping: {{mapping| 1 0 -5 4 9 13 | 0 1 4 -1 -3 -5 | 0 0 5 2 -4 -7 }}

Optimal ~~tuning (POTE)~~: ~2 = 1200.0000{{c}}, ~3/2 = 702.~~0674~~{{c}}, ~55/48 = 235.~~5870~~{{c}}

Optimal tunings:

* WE: ~2 = 1199.9727{{c}}, ~3/2 = 702.0946{{c}}, ~55/48 = 235.5597{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.1109{{c}}, ~55/48 = 235.5649{{c}}

{{Optimal ET sequence|legend=0| 41, 46, 87, 137, 178, 183, 224, 270, 494, 764, 1075, 1569, 1839, 2333, 3408d }}

Badness (~~Smith~~): 0.~~360 × 10-3~~

Badness (Sintel): 0.337

== Galaxy ==

Line 124:

Line 163:

[[Comma list]]: 3025/3024, 20614528/20588575

{{Mapping|legend=1| 1 0 -4 10 11 | 0 1 3 -3 -3 | 0 0 9 -14 -16 }}

: mapping generators: ~2, ~3, ~~~6125~~/~~3456~~

: mapping generators: ~2, ~3, ~1936/1715

[[Optimal tuning]] ([[~~POTE~~]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.9856{{c}}, ~~~6125~~/~~3456~~ = ~~991~~.~~0688~~{{c}}

[[Optimal tuning]]s:

* [[WE]]: ~2 = 1199.9912{{c}}, ~3/2 = 701.9805{{c}}, ~1936/1715 = 208.9296{{c}}

: [[error map]]: {{val| -0.009 +0.017 +0.003 +0.156 -0.204 }}

* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9856{{c}}, ~1936/1715 = 208.9333{{c}}

: error map: {{val| 0.000 +0.023 +0.020 +0.174 -0.184 }}

{{Optimal ET sequence|legend=1| 46, 103, 121, 149, 167, 224, 270, 494, 764, 1631, 1901, 2395, 2665 }}

[[Badness]] (~~Smith~~): 0.~~841 × 10-3~~

[[Badness]] (Sintel): 1.01

=== 13-limit ===

Line 138:

Line 181:

Comma list: 1716/1715, 3025/3024, 4225/4224

Mapping: {{mapping| 1 0 ~~5 -4 -5~~ -4 | 0 1 3 -3 -3 -4 | 0 0 -9 14 16 17 }}

Mapping: {{mapping| 1 0 -4 10 11 13 | 0 1 3 -3 -3 -4 | 0 0 9 -14 -16 -17 }}

Optimal ~~tuning (POTE)~~: ~2 = 1200.0000{{c}}, ~3/2 = 701.9368{{c}}, ~~~484~~/~~273~~ = ~~991~~.~~0597~~{{c}}

Optimal tunings:

* WE: ~2 = 1200.0131{{c}}, ~3/2 = 701.9445{{c}}, ~44/39 = 208.9426{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.9368{{c}}, ~44/39 = 208.9373{{c}}

{{Optimal ET sequence|legend=0| 46, 75e, 103, 121, 149, 224, 270, 494, 764, 1137, 1258, 1361, 1631, 2125 }}

Badness (~~Smith~~): 0.~~463 × 10-3~~

Badness (Sintel): 0.433

=== 17-limit ===

Line 151:

Line 196:

Comma list: 715/714, 936/935, 1225/1224, 4225/4224

Mapping: {{mapping| 1 0 5 -4 ~~-5 -4 -1~~ | 0 1 3 -3 -3 -4 -2 | 0 0 -9 14 16 17 10 }}

Mapping: {{mapping| 1 0 -4 10 11 13 9 | 0 1 3 -3 -3 -4 -2 | 0 0 9 -14 -16 -17 -10 }}

Optimal ~~tuning (POTE)~~: ~2 = ~~1\1~~, ~3/2 = 702.~~1144~~, ~85/48 = ~~991~~.~~1035~~

Optimal tunings:

* WE: ~2 = 1199.9094{{c}}, ~3/2 = 702.0614{{c}}, ~44/39 = 208.8807{{c}}

* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0462{{c}}, ~44/39 = 208.9167{{c}}

{{Optimal ET sequence|legend=0| 46, 75e, 103, 121, 149, 167, 224, 270, 494g }}

Badness (~~Smith~~): 0.~~933 × 10-3~~

Badness (Sintel): 0.888

[[Category:Temperament collections]]

[[Category:Lehmerismic temperaments| ]]

[[Category:Rank 3]]

@@ Line 1: / Line 1: @@
 {{Technical data page}}
-These are [[rank-3 temperament]]s tempering out [[3025/3024]]. Temperaments discussed elsewhere are:
+This is a collection of [[rank-3 temperament|rank-3]] [[regular temperament|temperaments]] that [[temper out]] the lehmerisma, [[3025/3024]].
+Temperaments discussed elsewhere are:
 * ''[[Oxpecker]]'' (+121/120 or 126/125) → [[Biyatismic clan #Oxpecker|Biyatismic clan]]
 * ''[[Manwe]]'' (+176/175) → [[Valinorsmic clan #Manwe|Valinorsmic clan]]
@@ Line 23: / Line 25: @@
 {{Mapping|legend=1| 3 0 0 4 8 | 0 2 0 -4 1 | 0 0 1 2 0 }}
 : mapping generators: ~63/50, ~400/231, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~63/50 = 400.0162{{c}}, ~400/231 = 950.9828{{c}}, ~5/4 = 386.2400{{c}}
+: [[error map]]: {{val| +0.049 +0.011 +0.024 -0.017 -0.205 }}
+* [[CWE]]: ~63/50 = 400.0000{{c}}, ~400/231 = 950.9591{{c}}, ~5/4 = 386.2764{{c}}
+: error map: {{val| 0.000 -0.037 -0.037 -0.109 -0.359 }}
 {{Optimal ET sequence|legend=1| 15, 24d, 33cd, 39d, 54c, 57, 72, 159, 183, 198, 255, 270, 342, 612, 954, 1566, 2091e, 2361e, 2433e, 2703e, 3045e, 3315ee, 3657ee }}
-[[Badness]] (Smith): 0.259 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.311
 === Borneo ===
@@ Line 34: / Line 42: @@
 Mapping: {{mapping| 3 0 0 4 8 -3 | 0 2 0 -4 1 3 | 0 0 1 2 0 1 }}
+Optimal tunings:
+* WE: ~63/50 = 400.0002{{c}}, ~26/15 = 951.0850{{c}}, ~5/4 = 386.5817{{c}}
+* CWE: ~63/50 = 400.0000{{c}}, ~26/15 = 951.0846{{c}}, ~5/4 = 386.5821{{c}}
 {{Optimal ET sequence|legend=0| 15, 24d, 33cdff, 39df, 57f, 72, 111, 159, 183, 198, 270 }}
-Badness (Smith): 0.549 × 10<sup>-3</sup>
+Badness (Sintel): 0.514
 Complexity spectrum: 12/11, 15/13, 11/8, 4/3, 11/10, 18/13, 6/5, 5/4, 13/12, 15/11, 11/9, 13/10, 10/9, 7/5, 16/15, 13/11, 9/8, 16/13, 8/7, 14/11, 15/14, 7/6, 14/13, 9/7
@@ Line 46: / Line 58: @@
 [[Comma list]]: 3025/3024, 703125/702464
-{{Mapping|legend=1| 1 0 5 8 1 | 0 1 1 3 2 | 0 0 -6 -14 -1 }}
+{{Mapping|legend=1| 1 0 -1 -6 0 | 0 1 1 3 2 | 0 0 6 14 1 }}
-: mapping generators: ~2, ~3, ~18/11
+: mapping generators: ~2, ~3, ~11/9
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1200.0399{{c}}, ~3/2 = 701.9113{{c}}, ~11/9 = 347.3783{{c}}
+: [[error map]]: {{val| +0.040 -0.004 -0.132 +0.085 -0.037 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9144{{c}}, ~11/9 = 347.3654{{c}}
+: error map: {{val| 0.000 -0.041 -0.207 +0.033 -0.124 }}
-{{Optimal ET sequence|legend=1| 31, 90e, 114de, 121, 152, 311, 342, 836, 1178, 2014, 3192ce, 5206ce }}
+{{Optimal ET sequence|legend=1| 24d, 31, 90e, 114de, 121, 152, 311, 342, 836, 1178, 2014, 3192ce, 5206ce }}
-[[Badness]] (Smith): 0.349 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.419
 == Ganesha ==
@@ Line 62: / Line 80: @@
 {{Mapping|legend=1| 1 0 0 -22 -9 | 0 1 0 1 2 | 0 0 1 10 4 }}
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.2251{{c}}, ~5/4 = 386.6908{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9176{{c}}, ~3/2 = 702.1769{{c}}, ~5/4 = 386.6642{{c}}
+: [[error map]]: {{val| -0.082 +0.139 +0.186 +0.075 -0.390 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1836{{c}}, ~5/4 = 386.6860{{c}}
+: error map: {{val| 0.000 +0.229 +0.372 +0.218 -0.207 }}
 {{Optimal ET sequence|legend=1| 31, 65d, 87, 118, 152, 239, 270, 962, 1232, 1502 }}
-[[Badness]] (Smith): 0.390 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.469
 == Hanuman ==
@@ Line 75: / Line 97: @@
 {{Mapping|legend=1| 1 2 0 -8 1 | 0 -3 0 11 1 | 0 0 1 4 1 }}
 : mapping generators: ~2, ~11/10, ~5
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9539{{c}}, ~11/10 = 165.9317{{c}}, ~5/4 = 385.9220{{c}}
+: [[error map]]: {{val| -0.046 +0.158 -0.484 +0.111 +0.398 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~11/10 = 165.9501{{c}}, ~5/4 = 385.8882{{c}}
+: error map: {{val| 0.000 +0.195 -0.426 +0.178 +0.520 }}
 {{Optimal ET sequence|legend=1| 15, 42bc, 49bcde, 50d, 57, 65d, 72, 152, 224, 311, 463, 535, 998 }}
-[[Badness]] (Smith): 0.500 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.600
 === 13-limit ===
@@ Line 86: / Line 114: @@
 Mapping: {{mapping| 1 2 0 -8 1 -6 | 0 -3 0 11 1 3 | 0 0 1 4 1 4 }}
+Optimal tunings:
+* WE: ~2 = 1200.0188{{c}}, ~11/10 = 166.0060{{c}}, ~5/4 = 385.6865{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~11/10 = 166.0007{{c}}, ~5/4 = 385.6918{{c}}
 {{Optimal ET sequence|legend=0| 15, 50d, 57f, 65d, 72, 87, 137, 152f, 224, 311, 535, 918c }}
-Badness (Smith): 0.653 × 10<sup>-3</sup>
+Badness (Sintel): 0.610
 == Lux ==
@@ Line 98: / Line 130: @@
 [[Comma list]]: 3025/3024, 131072/130977
-{{Mapping|legend=1| 1 0 0 6 5 | 0 1 4 -1 -3 | 0 0 -5 -2 4 }}
+{{Mapping|legend=1| 1 0 -5 4 9 | 0 1 4 -1 -3 | 0 0 5 2 -4 }}
+: mapping generators: ~2, ~3, ~55/48
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 702.1117{{c}}, ~55/48 = 235.5784{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9605{{c}}, ~3/2 = 702.0886{{c}}, ~55/48 = 235.5706{{c}}
+: [[error map]]: {{val| -0.039 +0.094 -0.067 +0.108 -0.103 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.1120{{c}}, ~55/48 = 235.5763{{c}}
+: error map: {{val| 0.000 +0.157 +0.016 +0.215 +0.041 }}
 {{Optimal ET sequence|legend=1| 41, 87, 137, 178, 183, 224, 270, 494, 764, 1839, 2109, 2603, 3367d }}
-[[Badness]] (Smith): 0.508 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 0.611
 === 13-limit ===
@@ Line 111: / Line 148: @@
 Comma list: 2080/2079, 3025/3024, 4096/4095
-Mapping: {{mapping| 1 0 0 6 5 6 | 0 1 4 -1 -3 -5 | 0 0 -5 -2 4 7 }}
+Mapping: {{mapping| 1 0 -5 4 9 13 | 0 1 4 -1 -3 -5 | 0 0 5 2 -4 -7 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 702.0674{{c}}, ~55/48 = 235.5870{{c}}
+Optimal tunings:
+* WE: ~2 = 1199.9727{{c}}, ~3/2 = 702.0946{{c}}, ~55/48 = 235.5597{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.1109{{c}}, ~55/48 = 235.5649{{c}}
 {{Optimal ET sequence|legend=0| 41, 46, 87, 137, 178, 183, 224, 270, 494, 764, 1075, 1569, 1839, 2333, 3408d }}
-Badness (Smith): 0.360 × 10<sup>-3</sup>
+Badness (Sintel): 0.337
 == Galaxy ==
@@ Line 124: / Line 163: @@
 [[Comma list]]: 3025/3024, 20614528/20588575
-{{Mapping|legend=1| 1 0 5 -4 -5 | 0 1 3 -3 -3 | 0 0 -9 14 16 }}
+{{Mapping|legend=1| 1 0 -4 10 11 | 0 1 3 -3 -3 | 0 0 9 -14 -16 }}
-: mapping generators: ~2, ~3, ~6125/3456
+: mapping generators: ~2, ~3, ~1936/1715
-[[Optimal tuning]] ([[POTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.9856{{c}}, ~6125/3456 = 991.0688{{c}}
+[[Optimal tuning]]s:
+* [[WE]]: ~2 = 1199.9912{{c}}, ~3/2 = 701.9805{{c}}, ~1936/1715 = 208.9296{{c}}
+: [[error map]]: {{val| -0.009 +0.017 +0.003 +0.156 -0.204 }}
+* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 701.9856{{c}}, ~1936/1715 = 208.9333{{c}}
+: error map: {{val| 0.000 +0.023 +0.020 +0.174 -0.184 }}
 {{Optimal ET sequence|legend=1| 46, 103, 121, 149, 167, 224, 270, 494, 764, 1631, 1901, 2395, 2665 }}
-[[Badness]] (Smith): 0.841 × 10<sup>-3</sup>
+[[Badness]] (Sintel): 1.01
 === 13-limit ===
@@ Line 138: / Line 181: @@
 Comma list: 1716/1715, 3025/3024, 4225/4224
-Mapping: {{mapping| 1 0 5 -4 -5 -4 | 0 1 3 -3 -3 -4 | 0 0 -9 14 16 17 }}
+Mapping: {{mapping| 1 0 -4 10 11 13 | 0 1 3 -3 -3 -4 | 0 0 9 -14 -16 -17 }}
-Optimal tuning (POTE): ~2 = 1200.0000{{c}}, ~3/2 = 701.9368{{c}}, ~484/273 = 991.0597{{c}}
+Optimal tunings:
+* WE: ~2 = 1200.0131{{c}}, ~3/2 = 701.9445{{c}}, ~44/39 = 208.9426{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.9368{{c}}, ~44/39 = 208.9373{{c}}
 {{Optimal ET sequence|legend=0| 46, 75e, 103, 121, 149, 224, 270, 494, 764, 1137, 1258, 1361, 1631, 2125 }}
-Badness (Smith): 0.463 × 10<sup>-3</sup>
+Badness (Sintel): 0.433
 === 17-limit ===
@@ Line 151: / Line 196: @@
 Comma list: 715/714, 936/935, 1225/1224, 4225/4224
-Mapping: {{mapping| 1 0 5 -4 -5 -4 -1 | 0 1 3 -3 -3 -4 -2 | 0 0 -9 14 16 17 10 }}
+Mapping: {{mapping| 1 0 -4 10 11 13 9 | 0 1 3 -3 -3 -4 -2 | 0 0 9 -14 -16 -17 -10 }}
-Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 702.1144, ~85/48 = 991.1035
+Optimal tunings:
+* WE: ~2 = 1199.9094{{c}}, ~3/2 = 702.0614{{c}}, ~44/39 = 208.8807{{c}}
+* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0462{{c}}, ~44/39 = 208.9167{{c}}
 {{Optimal ET sequence|legend=0| 46, 75e, 103, 121, 149, 167, 224, 270, 494g }}
-Badness (Smith): 0.933 × 10<sup>-3</sup>
+Badness (Sintel): 0.888
 [[Category:Temperament collections]]
 [[Category:Lehmerismic temperaments| ]] <!-- main article -->
 [[Category:Rank 3]]