Diminished family: Difference between revisions

Line 12:

[[Optimal tuning]]s:

* [[CTE]]: ~6/5 = 300.000, ~3/2 = 696.983 (~25/24 = 96.983)

* [[WE]]: ~6/5 = 299.6476{{c}}, ~3/2 = 698.6854{{c}} (~25/24 = 99.3903{{c}})

: [[error map]]: {{val| -1.410 -4.679 +9.905 }}

* [[CWE]]: ~6/5 = 300.0000{{c}}, ~3/2 = 698.2660{{c}} (~25/24 = 98.2660{{c}})

: error map: {{val| 0.000 -3.689 +11.952 }}

<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 696.983{{c}} (~25/24 = 96.983{{c}})

: [[error map]]: {{val| 0.000 -4.972 +10.670 }}

* [[POTE]]: ~6/5 = 300.000, ~3/2 = 699.507 (~25/24 = 99.507)

* [[POTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 699.507{{c}} (~25/24 = 99.507{{c}})

: error map: {{val| 0.000 -2.448 +13.193 }}

: error map: {{val| 0.000 -2.448 +13.193 }} -->

[[Badness]] (~~Smith~~): 0.~~047231~~

[[Badness]] (Sintel): 1.11

== Diminished ==

Line 33:

Line 37:

[[Optimal tuning]]s:

* [[CTE]]: ~6/5 = 300.000, ~3/2 = 691.955 (~21/20 = 91.955)

* [[WE]]: ~6/5 = 299.0347{{c}}, ~3/2 = 697.2727{{c}} (~21/20 = 99.2032{{c}})

: [[error map]]: {{val| -3.861 -8.543 +4.202 +19.759 }}

* [[CWE]]: ~6/5 = 300.0000{{c}}, ~3/2 = 695.9619{{c}} (~21/20 = 95.9619{{c}})

: error map: {{val| 0.000 -5.993 +9.648 +27.136 }}

<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 691.955{{c}} (~21/20 = 91.955{{c}})

: [[error map]]: {{val| 0.000 -10.000 +5.641 +23.129 }}

* [[POTE]]: ~6/5 = 300.000, ~3/2 = 699.523 (~21/20 = 99.523)

* [[POTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 699.523{{c}} (~21/20 = 99.523{{c}})

: error map: {{val| 0.000 -2.432 +13.210 +30.698 }}

: error map: {{val| 0.000 -2.432 +13.210 +30.698 }} -->

[[Badness]] (~~Smith~~): 0.~~022401~~

[[Badness]] (Sintel): 0.567

=== 11-limit ===

Line 50:

Line 58:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~3/2 = 691.955 (~21/20 = 91.955)

* WE: ~6/5 = 297.8458{{c}}, ~3/2 = 703.9277{{c}} (~15/14 = 108.2361{{c}})

* POTE: ~6/5 = 300.000, ~3/2 = 709.109 (~15/14 = 109.109)

* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 703.5558{{c}} (~15/14 = 103.5558{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 691.955{{c}} (~21/20 = 91.955{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 709.109{{c}} (~15/14 = 109.109{{c}}) -->

Badness (~~Smith~~): 0.~~022132~~

Badness (Sintel): 0.732

==== 13-limit ====

Line 65:

Line 75:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~3/2 = 691.954 (~21/20 = 91.954)

* WE: ~6/5 = 297.2520{{c}}, ~3/2 = 707.2352{{c}} (~15/14 = 112.7312{{c}})

* POTE: ~6/5 = 300.000, ~3/2 = 713.773 (~15/14 = 113.773)

* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 708.4648{{c}} (~15/14 = 108.4648{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 691.954{{c}} (~21/20 = 91.954{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 713.773{{c}} (~15/14 = 113.773{{c}}) -->

{{Optimal ET sequence|legend=0| 4, 8d, 12f, 20cdef, 32cddeefff }}

Badness (~~Smith~~): 0.~~019509~~

Badness (Sintel): 0.806

=== Demolished ===

Line 80:

Line 92:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~3/2 = 687.747 (~21/20 = 87.747)

* WE: ~6/5 = 299.6308{{c}}, ~3/2 = 689.0322{{c}} (~21/20 = 89.7707{{c}})

* POTE: ~6/5 = 300.000, ~3/2 = 689.881 (~21/20 = 89.881)

* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 688.9304{{c}} (~21/20 = 88.9304{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 687.747{{c}} (~21/20 = 87.747{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 689.881{{c}} (~21/20 = 89.881{{c}}) -->

Badness (Smith): 0.~~026574~~

Badness (Smith): 0.879

=== Cohedim ===

This temperament has been documented in Graham Breed's temperament finder as ''hemidim'', the same name as [[Dimipent family #Hemidim|11-limit 4e & 24 and 13-limit 4ef & 24]]. For 11-limit 8bce &~~amp;~~ 12 temperament, ''cohedim'' arguably makes more sense.

This temperament has been documented in Graham Breed's temperament finder as ''hemidim'', the same name as [[Dimipent family #Hemidim|11-limit 4e & 24 and 13-limit 4ef & 24]]. For 11-limit 8bce & 12 temperament, ''cohedim'' arguably makes more sense.

Subgroup: 2.3.5.7.11

Line 99:

Line 113:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~11/7 = 793.423 (~12/11 = 106.577)

* WE: ~6/5 = 298.7799{{c}}, ~11/7 = 795.0744{{c}} (~12/11 = 101.2653{{c}})

* POTE: ~6/5 = 300.000, ~11/7 = 798.421 (~12/11 = 101.679)

* CWE: ~6/5 = 300.0000{{c}}, ~11/7 = 796.0102{{c}} (~12/11 = 103.9898{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~11/7 = 793.423{{c}} (~12/11 = 106.577{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~11/7 = 798.421{{c}} (~12/11 = 101.679{{c}}) -->

Badness (~~Smith~~): 0.~~054965~~

Badness (Sintel): 1.82

==== 13-limit ====

Line 114:

Line 130:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~11/7 = 791.375 (~12/11 = 108.625)

* WE: ~6/5 = 298.4646{{c}}, ~11/7 = 793.6185{{c}} (~12/11 = 101.7754{{c}})

* POTE: ~6/5 = 300.000, ~11/7 = 797.701 (~12/11 = 102.299)

* CWE: ~6/5 = 300.0000{{c}}, ~11/7 = 794.7323{{c}} (~12/11 = 105.2677{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~11/7 = 791.375{{c}} (~12/11 = 108.625{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~11/7 = 797.701{{c}} (~12/11 = 102.299{{c}}) -->

Badness (~~Smith~~): 0.~~041707~~

Badness (Sintel): 1.72

== Hemidim ==

Line 131:

Line 149:

[[Optimal tuning]]s:

* [[CTE]]: ~6/5 = 300.000, ~7/4 = 949.540 (~36/35 = 49.540)

* [[WE]]: ~6/5 = 300.5053{{c}}, ~7/4 = 949.0409{{c}} (~36/35 = 47.5250{{c}})

: [[error map]]: {{val| +2.021 -3.873 +13.284 -15.743 }}

* [[CWE]]: ~6/5 = 300.0000{{c}}, ~7/4 = 948.2575{{c}} (~36/35 = 48.2575{{c}})

: error map: {{val| 0.000 -5.440 +10.201 -20.568 }}

<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~7/4 = 949.540{{c}} (~36/35 = 49.540{{c}})

: [[error map]]: {{val| 0.000 -2.875 +12.766 -19.286 }}

* [[POTE]]: ~6/5 = 300.000, ~7/4 = 947.445 (~36/35 = 47.445)

* [[POTE]]: ~6/5 = 300.000{{c}}, ~7/4 = 947.445{{c}} (~36/35 = 47.445{{c}})

: error map: {{val| 0.000 -7.065 +8.576 -21.381 }}

: error map: {{val| 0.000 -7.065 +8.576 -21.381 }} -->

[[Badness]] (~~Smith~~): 0.~~086378~~

[[Badness]] (Sintel): 2.19

=== 11-limit ===

Line 148:

Line 170:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~7/4 = 949.872 (~36/35 = 49.872)

* WE: ~6/5 = 300.4282{{c}}, ~7/4 = 949.6958{{c}} (~36/35 = 48.4112{{c}})

* POTE: ~6/5 = 300.000, ~7/4 = 948.342 (~36/35 = 48.342)

* CWE: ~6/5 = 300.0000{{c}}, ~7/4 = 948.9065{{c}} (~36/35 = 48.9065{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~7/4 = 949.872{{c}} (~36/35 = 49.872{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~7/4 = 948.342{{c}} (~36/35 = 48.342{{c}}) -->

Badness (~~Smith~~): 0.~~056576~~

Badness (Sintel): 1.87

=== 13-limit ===

Line 163:

Line 187:

Optimal tunings:

* CTE: ~6/5 = 300.000, ~7/4 = 949.366 (~36/35 = 49.366)

* WE: ~6/5 = 300.4282{{c}}, ~7/4 = 949.2440{{c}} (~36/35 = 47.8487{{c}})

* POTE: ~6/5 = 300.000, ~7/4 = 947.775 (~36/35 = 47.775)

* CWE: ~6/5 = 300.0000{{c}}, ~7/4 = 948.3581{{c}} (~36/35 = 48.3581{{c}})

<!-- * CTE: ~6/5 = 300.000{{c}}, ~7/4 = 949.366{{c}} (~36/35 = 49.366{{c}})

* POTE: ~6/5 = 300.000{{c}}, ~7/4 = 947.775{{c}} (~36/35 = 47.775{{c}}) -->

Badness (~~Smith~~): 0.~~039030~~

Badness (Sintel): 1.61

== Octonion ==

Line 182:

Line 208:

[[Optimal tuning]]s:

* [[CTE]]: ~15/14 = 150.000, ~3/2 = 702.765 (~36/35 = 47.235)

* [[WE]]: ~15/14 = 149.6673{{c}}, ~3/2 = 705.4455{{c}} (~36/35 = 42.8910{{c}})

* [[POTE]]: ~15/14 = 150.000, ~3/2 = 707.014 (~36/35 = 42.986)

: [[error map]]: {{val| -2.662 +0.828 +14.474 -12.260 }}

* [[CWE]]: ~15/14 = 150.0000{{c}}, ~3/2 = 704.9636{{c}} (~36/35 = 45.0364{{c}})

: error map: {{val| 0.000 +3.008 +18.650 -8.899 }}

<!-- * [[CTE]]: ~15/14 = 150.000{{c}}, ~3/2 = 702.765{{c}} (~36/35 = 47.235{{c}})

* [[POTE]]: ~15/14 = 150.000{{c}}, ~3/2 = 707.014{{c}} (~36/35 = 42.986{{c}}) -->

[[Badness]] (~~Smith~~): 0.~~107523~~

[[Badness]] (Sintel): 2.72

=== 11-limit ===

Line 197:

Line 227:

Optimal tunings:

* CTE: ~12/11 = 150.000, ~3/2 = 702.662 (~36/35 = 47.338)

* WE: ~12/11 = 149.7102{{c}}, ~3/2 = 705.2799{{c}} (~36/35 = 43.2712{{c}})

* POTE: ~12/11 = 150.000, ~3/2 = 706.645 (~36/35 = 43.355)

* CWE: ~12/11 = 150.0000{{c}}, ~3/2 = 704.9285{{c}} (~36/35 = 45.0715{{c}})

<!-- * CTE: ~12/11 = 150.000{{c}}, ~3/2 = 702.662{{c}} (~36/35 = 47.338{{c}})

* POTE: ~12/11 = 150.000{{c}}, ~3/2 = 706.645{{c}} (~36/35 = 43.355{{c}}) -->

Badness (~~Smith~~): 0.~~047598~~

Badness (Sintel): 1.57

=== 13-limit ===

Line 212:

Line 244:

Optimal tunings:

* CTE: ~12/11 = 150.000, ~3/2 = 701.952 (~36/35 = 48.048)

* WE: ~12/11 = 149.6311{{c}}, ~3/2 = 705.6367{{c}} (~36/35 = 42.5188{{c}})

* POTE: ~12/11 = 150.000, ~3/2 = 707.376 (~36/35 = 42.624)

* CWE: ~12/11 = 150.0000{{c}}, ~3/2 = 705.2777{{c}} (~36/35 = 44.7223{{c}})

<!-- * CTE: ~12/11 = 150.000{{c}}, ~3/2 = 701.952{{c}} (~36/35 = 48.048{{c}})

* POTE: ~12/11 = 150.000{{c}}, ~3/2 = 707.376{{c}} (~36/35 = 42.624{{c}}) -->

Badness (~~Smith~~): 0.~~030597~~

Badness (Sintel): 1.26

[[Category:Temperament families]]

@@ Line 12: / Line 12: @@
 [[Optimal tuning]]s:
-* [[CTE]]: ~6/5 = 300.000, ~3/2 = 696.983 (~25/24 = 96.983)
+* [[WE]]: ~6/5 = 299.6476{{c}}, ~3/2 = 698.6854{{c}} (~25/24 = 99.3903{{c}})
+: [[error map]]: {{val| -1.410 -4.679 +9.905 }}
+* [[CWE]]: ~6/5 = 300.0000{{c}}, ~3/2 = 698.2660{{c}} (~25/24 = 98.2660{{c}})
+: error map: {{val| 0.000 -3.689 +11.952 }}
+<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 696.983{{c}} (~25/24 = 96.983{{c}})
 : [[error map]]: {{val| 0.000 -4.972 +10.670 }}
-* [[POTE]]: ~6/5 = 300.000, ~3/2 = 699.507 (~25/24 = 99.507)
+* [[POTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 699.507{{c}} (~25/24 = 99.507{{c}})
-: error map: {{val| 0.000 -2.448 +13.193 }}
+: error map: {{val| 0.000 -2.448 +13.193 }} -->
 {{Optimal ET sequence|legend=1| 4, 8, 12 }}
-[[Badness]] (Smith): 0.047231
+[[Badness]] (Sintel): 1.11
 == Diminished ==
@@ Line 33: / Line 37: @@
 [[Optimal tuning]]s:
-* [[CTE]]: ~6/5 = 300.000, ~3/2 = 691.955 (~21/20 = 91.955)
+* [[WE]]: ~6/5 = 299.0347{{c}}, ~3/2 = 697.2727{{c}} (~21/20 = 99.2032{{c}})
+: [[error map]]: {{val| -3.861 -8.543 +4.202 +19.759 }}
+* [[CWE]]: ~6/5 = 300.0000{{c}}, ~3/2 = 695.9619{{c}} (~21/20 = 95.9619{{c}})
+: error map: {{val| 0.000 -5.993 +9.648 +27.136 }}
+<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 691.955{{c}} (~21/20 = 91.955{{c}})
 : [[error map]]: {{val| 0.000 -10.000 +5.641 +23.129 }}
-* [[POTE]]: ~6/5 = 300.000, ~3/2 = 699.523 (~21/20 = 99.523)
+* [[POTE]]: ~6/5 = 300.000{{c}}, ~3/2 = 699.523{{c}} (~21/20 = 99.523{{c}})
-: error map: {{val| 0.000 -2.432 +13.210 +30.698 }}
+: error map: {{val| 0.000 -2.432 +13.210 +30.698 }} -->
 {{Optimal ET sequence|legend=1| 4, 8d, 12 }}
-[[Badness]] (Smith): 0.022401
+[[Badness]] (Sintel): 0.567
 === 11-limit ===
@@ Line 50: / Line 58: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~3/2 = 691.955 (~21/20 = 91.955)
+* WE: ~6/5 = 297.8458{{c}}, ~3/2 = 703.9277{{c}} (~15/14 = 108.2361{{c}})
-* POTE: ~6/5 = 300.000, ~3/2 = 709.109 (~15/14 = 109.109)
+* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 703.5558{{c}} (~15/14 = 103.5558{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 691.955{{c}} (~21/20 = 91.955{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 709.109{{c}} (~15/14 = 109.109{{c}}) -->
 {{Optimal ET sequence|legend=0| 4, 8d, 12, 32cddee, 44cddeee }}
-Badness (Smith): 0.022132
+Badness (Sintel): 0.732
 ==== 13-limit ====
@@ Line 65: / Line 75: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~3/2 = 691.954 (~21/20 = 91.954)
+* WE: ~6/5 = 297.2520{{c}}, ~3/2 = 707.2352{{c}} (~15/14 = 112.7312{{c}})
-* POTE: ~6/5 = 300.000, ~3/2 = 713.773 (~15/14 = 113.773)
+* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 708.4648{{c}} (~15/14 = 108.4648{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 691.954{{c}} (~21/20 = 91.954{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 713.773{{c}} (~15/14 = 113.773{{c}}) -->
-{{Optimal ET sequence|legend=0| 4, 8d, 12f, 20cdef }}
+{{Optimal ET sequence|legend=0| 4, 8d, 12f, 20cdef, 32cddeefff }}
-Badness (Smith): 0.019509
+Badness (Sintel): 0.806
 === Demolished ===
@@ Line 80: / Line 92: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~3/2 = 687.747 (~21/20 = 87.747)
+* WE: ~6/5 = 299.6308{{c}}, ~3/2 = 689.0322{{c}} (~21/20 = 89.7707{{c}})
-* POTE: ~6/5 = 300.000, ~3/2 = 689.881 (~21/20 = 89.881)
+* CWE: ~6/5 = 300.0000{{c}}, ~3/2 = 688.9304{{c}} (~21/20 = 88.9304{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~3/2 = 687.747{{c}} (~21/20 = 87.747{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~3/2 = 689.881{{c}} (~21/20 = 89.881{{c}}) -->
-{{Optimal ET sequence|legend=0| 12, 28, 40de }}
+{{Optimal ET sequence|legend=0| 4e, 8dee, 12, 28 }}
-Badness (Smith): 0.026574
+Badness (Smith): 0.879
 === Cohedim ===
-This temperament has been documented in Graham Breed's temperament finder as ''hemidim'', the same name as [[Dimipent family #Hemidim|11-limit 4e &amp; 24 and 13-limit 4ef &amp; 24]]. For 11-limit 8bce &amp; 12 temperament, ''cohedim'' arguably makes more sense.
+This temperament has been documented in Graham Breed's temperament finder as ''hemidim'', the same name as [[Dimipent family #Hemidim|11-limit 4e &amp; 24 and 13-limit 4ef &amp; 24]]. For 11-limit 8bce & 12 temperament, ''cohedim'' arguably makes more sense.
 Subgroup: 2.3.5.7.11
@@ Line 99: / Line 113: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~11/7 = 793.423 (~12/11 = 106.577)
+* WE: ~6/5 = 298.7799{{c}}, ~11/7 = 795.0744{{c}} (~12/11 = 101.2653{{c}})
-* POTE: ~6/5 = 300.000, ~11/7 = 798.421 (~12/11 = 101.679)
+* CWE: ~6/5 = 300.0000{{c}}, ~11/7 = 796.0102{{c}} (~12/11 = 103.9898{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~11/7 = 793.423{{c}} (~12/11 = 106.577{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~11/7 = 798.421{{c}} (~12/11 = 101.679{{c}}) -->
 {{Optimal ET sequence|legend=0| 8bce, 12 }}
-Badness (Smith): 0.054965
+Badness (Sintel): 1.82
 ==== 13-limit ====
@@ Line 114: / Line 130: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~11/7 = 791.375 (~12/11 = 108.625)
+* WE: ~6/5 = 298.4646{{c}}, ~11/7 = 793.6185{{c}} (~12/11 = 101.7754{{c}})
-* POTE: ~6/5 = 300.000, ~11/7 = 797.701 (~12/11 = 102.299)
+* CWE: ~6/5 = 300.0000{{c}}, ~11/7 = 794.7323{{c}} (~12/11 = 105.2677{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~11/7 = 791.375{{c}} (~12/11 = 108.625{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~11/7 = 797.701{{c}} (~12/11 = 102.299{{c}}) -->
 {{Optimal ET sequence|legend=0| 8bcef, 12f }}
-Badness (Smith): 0.041707
+Badness (Sintel): 1.72
 == Hemidim ==
@@ Line 131: / Line 149: @@
 [[Optimal tuning]]s:
-* [[CTE]]: ~6/5 = 300.000, ~7/4 = 949.540 (~36/35 = 49.540)
+* [[WE]]: ~6/5 = 300.5053{{c}}, ~7/4 = 949.0409{{c}} (~36/35 = 47.5250{{c}})
+: [[error map]]: {{val| +2.021 -3.873 +13.284 -15.743 }}
+* [[CWE]]: ~6/5 = 300.0000{{c}}, ~7/4 = 948.2575{{c}} (~36/35 = 48.2575{{c}})
+: error map: {{val| 0.000 -5.440 +10.201 -20.568 }}
+<!-- * [[CTE]]: ~6/5 = 300.000{{c}}, ~7/4 = 949.540{{c}} (~36/35 = 49.540{{c}})
 : [[error map]]: {{val| 0.000 -2.875 +12.766 -19.286 }}
-* [[POTE]]: ~6/5 = 300.000, ~7/4 = 947.445 (~36/35 = 47.445)
+* [[POTE]]: ~6/5 = 300.000{{c}}, ~7/4 = 947.445{{c}} (~36/35 = 47.445{{c}})
-: error map: {{val| 0.000 -7.065 +8.576 -21.381 }}
+: error map: {{val| 0.000 -7.065 +8.576 -21.381 }} -->
 {{Optimal ET sequence|legend=1| 4, …, 20c, 24 }}
-[[Badness]] (Smith): 0.086378
+[[Badness]] (Sintel): 2.19
 === 11-limit ===
@@ Line 148: / Line 170: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~7/4 = 949.872 (~36/35 = 49.872)
+* WE: ~6/5 = 300.4282{{c}}, ~7/4 = 949.6958{{c}} (~36/35 = 48.4112{{c}})
-* POTE: ~6/5 = 300.000, ~7/4 = 948.342 (~36/35 = 48.342)
+* CWE: ~6/5 = 300.0000{{c}}, ~7/4 = 948.9065{{c}} (~36/35 = 48.9065{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~7/4 = 949.872{{c}} (~36/35 = 49.872{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~7/4 = 948.342{{c}} (~36/35 = 48.342{{c}}) -->
 {{Optimal ET sequence|legend=0| 4e, 20ce, 24 }}
-Badness (Smith): 0.056576
+Badness (Sintel): 1.87
 === 13-limit ===
@@ Line 163: / Line 187: @@
 Optimal tunings:
-* CTE: ~6/5 = 300.000, ~7/4 = 949.366 (~36/35 = 49.366)
+* WE: ~6/5 = 300.4282{{c}}, ~7/4 = 949.2440{{c}} (~36/35 = 47.8487{{c}})
-* POTE: ~6/5 = 300.000, ~7/4 = 947.775 (~36/35 = 47.775)
+* CWE: ~6/5 = 300.0000{{c}}, ~7/4 = 948.3581{{c}} (~36/35 = 48.3581{{c}})
+<!-- * CTE: ~6/5 = 300.000{{c}}, ~7/4 = 949.366{{c}} (~36/35 = 49.366{{c}})
+* POTE: ~6/5 = 300.000{{c}}, ~7/4 = 947.775{{c}} (~36/35 = 47.775{{c}}) -->
 {{Optimal ET sequence|legend=0| 4ef, 24 }}
-Badness (Smith): 0.039030
+Badness (Sintel): 1.61
 == Octonion ==
@@ Line 182: / Line 208: @@
 [[Optimal tuning]]s:
-* [[CTE]]: ~15/14 = 150.000, ~3/2 = 702.765 (~36/35 = 47.235)
+* [[WE]]: ~15/14 = 149.6673{{c}}, ~3/2 = 705.4455{{c}} (~36/35 = 42.8910{{c}})
-* [[POTE]]: ~15/14 = 150.000, ~3/2 = 707.014 (~36/35 = 42.986)
+: [[error map]]: {{val| -2.662 +0.828 +14.474 -12.260 }}
+* [[CWE]]: ~15/14 = 150.0000{{c}}, ~3/2 = 704.9636{{c}} (~36/35 = 45.0364{{c}})
+: error map: {{val| 0.000 +3.008 +18.650 -8.899 }}
+<!-- * [[CTE]]: ~15/14 = 150.000{{c}}, ~3/2 = 702.765{{c}} (~36/35 = 47.235{{c}})
+* [[POTE]]: ~15/14 = 150.000{{c}}, ~3/2 = 707.014{{c}} (~36/35 = 42.986{{c}}) -->
-{{Optimal ET sequence|legend=1| 8d, 24, 32c }}
+{{Optimal ET sequence|legend=1| 8d, 16d, 24, 32c }}
-[[Badness]] (Smith): 0.107523
+[[Badness]] (Sintel): 2.72
 === 11-limit ===
@@ Line 197: / Line 227: @@
 Optimal tunings:
-* CTE: ~12/11 = 150.000, ~3/2 = 702.662 (~36/35 = 47.338)
+* WE: ~12/11 = 149.7102{{c}}, ~3/2 = 705.2799{{c}} (~36/35 = 43.2712{{c}})
-* POTE: ~12/11 = 150.000, ~3/2 = 706.645 (~36/35 = 43.355)
+* CWE: ~12/11 = 150.0000{{c}}, ~3/2 = 704.9285{{c}} (~36/35 = 45.0715{{c}})
+<!-- * CTE: ~12/11 = 150.000{{c}}, ~3/2 = 702.662{{c}} (~36/35 = 47.338{{c}})
+* POTE: ~12/11 = 150.000{{c}}, ~3/2 = 706.645{{c}} (~36/35 = 43.355{{c}}) -->
-{{Optimal ET sequence|legend=0| 8d, 24, 32c }}
+{{Optimal ET sequence|legend=0| 8d, 16d, 24, 32c }}
-Badness (Smith): 0.047598
+Badness (Sintel): 1.57
 === 13-limit ===
@@ Line 212: / Line 244: @@
 Optimal tunings:
-* CTE: ~12/11 = 150.000, ~3/2 = 701.952 (~36/35 = 48.048)
+* WE: ~12/11 = 149.6311{{c}}, ~3/2 = 705.6367{{c}} (~36/35 = 42.5188{{c}})
-* POTE: ~12/11 = 150.000, ~3/2 = 707.376 (~36/35 = 42.624)
+* CWE: ~12/11 = 150.0000{{c}}, ~3/2 = 705.2777{{c}} (~36/35 = 44.7223{{c}})
+<!-- * CTE: ~12/11 = 150.000{{c}}, ~3/2 = 701.952{{c}} (~36/35 = 48.048{{c}})
+* POTE: ~12/11 = 150.000{{c}}, ~3/2 = 707.376{{c}} (~36/35 = 42.624{{c}}) -->
-{{Optimal ET sequence|legend=0| 8d, 24, 32cf }}
+{{Optimal ET sequence|legend=0| 8d, 16d, 24, 32cf }}
-Badness (Smith): 0.030597
+Badness (Sintel): 1.26
 [[Category:Temperament families]]