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Marvel family: Difference between revisions

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m Units & misc. cleanup
Switch to Sintel's badness, WE & CWE tunings
Line 28: Line 28:
Lattice basis:  
Lattice basis:  
: ~15/14 length = 1.256, ~3/2 length = 1.369
: ~15/14 length = 1.256, ~3/2 length = 1.369
: Angle (~15/14, ~3/2) = 106.958 degrees
: angle (~15/14, ~3/2) = 106.958°


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.974{{c}}, ~5/4 = 384.208{{c}}
* [[WE]]: ~2 = 1200.5971{{c}}, ~3/2 = 700.7560{{c}}, ~5/4 = 383.8285{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.622{{c}}, ~5/4 = 383.854{{c}}
: [[error map]]: {{val| +0.597 -0.602 -1.291 +0.940 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.6222{{c}}, ~5/4 = 383.8540{{c}}
: error map: {{val| 0.000 -1.333 -2.460 +0.127 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.974{{c}}, ~5/4 = 384.208{{c}} -->


[[Minimax tuning]]:  
[[Minimax tuning]]:  
Line 44: Line 47:
{{Optimal ET sequence|legend=1| 9, 10, 12, 19, 31, 41, 53, 72, 197, 269c }}
{{Optimal ET sequence|legend=1| 9, 10, 12, 19, 31, 41, 53, 72, 197, 269c }}


[[Badness]] (Smith): 0.0365 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.161


[[Projection pair]]s: <code>7 225/32</code>
[[Projection pair]]s: <code>7 225/32</code>
Line 91: Line 94:
Lattice basis:  
Lattice basis:  
: ~15/14 length = 1.0364, ~5/4 length = 1.0759
: ~15/14 length = 1.0364, ~5/4 length = 1.0759
: angle (~15/14, ~5/4) = 104.028 degrees
: angle (~15/14, ~5/4) = 104.028°


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.373{{c}}, ~5/4 = 383.146{{c}}
* [[WE]]: ~2 = 1200.6395{{c}}, ~3/2 = 700.7619{{c}}, ~5/4 = 383.7447{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.605{{c}}, ~5/4 = 383.454{{c}}
: [[error map]]: {{val| +0.639 -0.554 -1.290 +0.827 -0.117 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.6048{{c}}, ~5/4 = 383.4538{{c}}
: error map: {{val| 0.000 -1.350 -2.860 -0.709 -2.284 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.373{{c}}, ~5/4 = 383.146{{c}} -->


[[Minimax tuning]]:
[[Minimax tuning]]:
* [[11-odd-limit]]
* [[11-odd-limit]]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 4/3 8/9 -1/3 0 -1/9 }}, {{monzo| 8/3 -2/9 1/3 0 -2/9 }}, {{monzo| 3 4/3 0 0 -2/3 }}, {{monzo| 8/3 -2/9 -2/3 0 7/9 }}]
: [{{monzo| 1 0 0 0 0 }}, {{monzo| 4/3 8/9 -1/3 0 -1/9 }}, {{monzo| 8/3 -2/9 1/3 0 -2/9 }}, {{monzo| 3 4/3 0 0 -2/3 }}, {{monzo| 8/3 -2/9 -2/3 0 7/9 }}]
: [[Eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.9/5.11/9
: [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.9/5.11/9


{{Optimal ET sequence|legend=1| 9, 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 238c, 269ce, 341ce }}
{{Optimal ET sequence|legend=1| 9, 10, 12e, 19, 22, 31, 41, 53, 72, 166, 197e, 238c, 269ce, 341ce }}


[[Badness]] (Smith): 0.255 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.306


[[Projection pair]]s: <code>7 225/32 11 4096/375</code>
[[Projection pair]]s: <code>7 225/32 11 4096/375</code>
Line 132: Line 138:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.182{{c}}, ~5/4 = 384.400{{c}}
* WE: ~2 = 1200.8043{{c}}, ~3/2 = 700.2057{{c}}, ~5/4 = 384.3188{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 699.811{{c}}, ~5/4 = 384.118{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.8109{{c}}, ~5/4 = 384.1177{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.182{{c}}, ~5/4 = 384.400{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 141: Line 148:
{{Optimal ET sequence|legend=0| 19, 22, 31, 50, 53, 72, 103, 175f, 300ceff, 403bceeff, 578bbccdeeefff }}
{{Optimal ET sequence|legend=0| 19, 22, 31, 50, 53, 72, 103, 175f, 300ceff, 403bceeff, 578bbccdeeefff }}


Badness (Smith): 0.690 × 10<sup>-3</sup>
Badness (Sintel): 0.645


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


=== Hecate ===
=== Hecate ===
==== 13-limit ====
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Line 153: Line 161:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.563{{c}}, ~5/4 = 383.015{{c}}
* WE: ~2 = 1200.5788{{c}}, ~3/2 = 701.3161{{c}}, ~5/4 = 383.3471{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.100{{c}}, ~5/4 = 383.132{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.1003{{c}}, ~5/4 = 383.1315{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.563{{c}}, ~5/4 = 383.015{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 162: Line 171:
{{Optimal ET sequence|legend=0| 19, 22f, 31f, 41, 53, 72, 125f, 166, 238cf }}
{{Optimal ET sequence|legend=0| 19, 22f, 31f, 41, 53, 72, 125f, 166, 238cf }}


Badness (Smith): 0.721 × 10<sup>-3</sup>
Badness (Sintel): 0.674


Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>
Projection pairs: <code>7 225/32 11 4096/375 13 324/25</code>
Line 168: Line 177:
Complexity spectrum: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11
Complexity spectrum: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11


==== 2.3.5.7.11.13.19 subgroup ====
===== 2.3.5.7.11.13.19 subgroup =====
Subgroup: 2.3.5.7.11.13.19
Subgroup: 2.3.5.7.11.13.19


Line 176: Line 185:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.424{{c}}, ~5/4 = 383.029{{c}}
* WE: ~2 = 1200.4716{{c}}, ~3/2 = 701.4395{{c}}, ~5/4 = 383.2779{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.200{{c}}, ~5/4 = 383.114{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.2002{{c}}, ~5/4 = 383.1136{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.424{{c}}, ~5/4 = 383.029{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 41, 53, 72, 94, 113, 166 }}
{{Optimal ET sequence|legend=0| 41, 53, 72, 94, 113, 166 }}


Badness (Smith): 0.773 × 10<sup>-3</sup>
Badness (Sintel): 0.756


==== Apotropaia ====
==== Apotropaia ====
Line 191: Line 201:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.586{{c}}, ~5/4 = 382.733{{c}}
* WE: ~2 = 1200.6057{{c}}, ~3/2 = 701.3157{{c}}, ~5/4 = 383.2243{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.088{{c}}, ~5/4 = 382.971{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.0877{{c}}, ~5/4 = 382.9709{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.586{{c}}, ~5/4 = 382.733{{c}} -->


{{Optimal ET sequence|legend=0| 41, 53g, 72, 166g, 238cfg }}
{{Optimal ET sequence|legend=0| 41, 53g, 72, 166g, 238cfg }}


Badness (Smith): 0.869 × 10<sup>-3</sup>
Badness (Sintel): 0.827


===== 19-limit =====
===== 19-limit =====
Line 206: Line 217:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.443{{c}}, ~5/4 = 382.739{{c}}
* WE: ~2 = 1200.4927{{c}}, ~3/2 = 701.4506{{c}}, ~5/4 = 383.1291{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.201{{c}}, ~5/4 = 382.940{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.2007{{c}}, ~5/4 = 382.9404{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.443{{c}}, ~5/4 = 382.739{{c}} -->


{{Optimal ET sequence|legend=0| 41, 53g, 72, 94, 113, 166g }}
{{Optimal ET sequence|legend=0| 41, 53g, 72, 94, 113, 166g }}


Badness (Smith): 0.978 × 10<sup>-3</sup>
Badness (Sintel): 1.01


==== Enodia ====
==== Enodia ====
Line 221: Line 233:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.627{{c}}, ~5/4 = 383.346{{c}}
* WE: ~2 = 1200.6165{{c}}, ~3/2 = 701.3259{{c}}, ~5/4 = 383.5032{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.095{{c}}, ~5/4 = 383.314{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.0949{{c}}, ~5/4 = 383.3140{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.627{{c}}, ~5/4 = 383.346{{c}} -->


{{Optimal ET sequence|legend=0| 41g, 53, 72, 166g, 238cfg }}
{{Optimal ET sequence|legend=0| 41g, 53, 72, 166g, 238cfg }}


Badness (Smith): 0.917 × 10<sup>-3</sup>
Badness (Sintel): 0.872


===== 19-limit =====
===== 19-limit =====
Line 236: Line 249:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.479{{c}}, ~5/4 = 383.379{{c}}
* WE: ~2 = 1200.5038{{c}}, ~3/2 = 701.4654{{c}}, ~5/4 = 383.4549{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.211{{c}}, ~5/4 = 383.305{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.2113{{c}}, ~5/4 = 383.3052{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.479{{c}}, ~5/4 = 383.379{{c}} -->


{{Optimal ET sequence|legend=0| 41g, 53, 72, 94, 125f, 166g }}
{{Optimal ET sequence|legend=0| 41g, 53, 72, 94, 125f, 166g }}


Badness (Smith): 1.03 × 10<sup>-3</sup>
Badness (Sintel): 1.05


=== Marvell ===
=== Marvell ===
Line 251: Line 265:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.385{{c}}, ~5/4 = 383.208{{c}}
* WE: ~2 = 1200.6404{{c}}, ~3/2 = 700.7675{{c}}, ~5/4 = 383.7772{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 700.611{{c}}, ~5/4 = 383.493{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.6113{{c}}, ~5/4 = 383.4925{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.385{{c}}, ~5/4 = 383.208{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 258: Line 273:
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.7.15/13
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.7.15/13


{{Optimal ET sequence|legend=0| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 507bcceff, 610bcceeff }}
{{Optimal ET sequence|legend=0| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 341cef }}


Badness (Smith): 0.862 × 10<sup>-3</sup>
Badness (Sintel): 0.806


=== Isis ===
=== Isis ===
Line 270: Line 285:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.997{{c}}, ~5/4 = 383.134{{c}}
* WE: ~2 = 1200.1824{{c}}, ~3/2 = 702.0223{{c}}, ~5/4 = 383.3028{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.928{{c}}, ~5/4 = 383.228{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.9276{{c}}, ~5/4 = 383.2283{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.997{{c}}, ~5/4 = 383.134{{c}} -->


{{Optimal ET sequence|legend=0| 10, 19f, 22, 31, 41, 53, 94 }}
{{Optimal ET sequence|legend=0| 10, 19f, 22, 31, 41, 53, 84e, 94 }}


Badness (Smith): 0.866 × 10<sup>-3</sup>
Badness (Sintel): 0.810


Projection pairs: <code>7 225/32 11 4096/375 13 131072/10125</code>
Projection pairs: <code>7 225/32 11 4096/375 13 131072/10125</code>
Line 287: Line 303:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.702{{c}}, ~5/4 = 382.074{{c}}
* WE: ~2 = 1200.7533{{c}}, ~3/2 = 700.8957{{c}}, ~5/4 = 383.0580{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 700.718{{c}}, ~5/4 = 382.661{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.7184{{c}}, ~5/4 = 382.6611{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.702{{c}}, ~5/4 = 382.074{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 296: Line 313:
{{Optimal ET sequence|legend=0| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cff }}
{{Optimal ET sequence|legend=0| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cff }}


Badness (Smith): 0.920 × 10<sup>-3</sup>
Badness (Sintel): 0.861


Projection pairs: <code>7 225/32 11 4096/375 13 134217728/10546875</code>
Projection pairs: <code>7 225/32 11 4096/375 13 134217728/10546875</code>
Line 308: Line 325:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.028{{c}}, ~5/4 = 382.694{{c}}
* WE: ~2 = 1200.4789{{c}}, ~3/2 = 699.5125{{c}}, ~5/4 = 383.1304{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 699.404{{c}}, ~5/4 = 382.917{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.4041{{c}}, ~5/4 = 382.9166{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.028{{c}}, ~5/4 = 382.694{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 315: Line 333:
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.5/3.13/11
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.5/3.13/11


{{Optimal ET sequence|legend=0| 9, 10, 19, 22f, 31, 41, 72f, 91, 122f, 163df }}
{{Optimal ET sequence|legend=0| 9, 10, 19, 22f, 31, 41, 72f, 91 }}


Badness (Smith): 0.745 × 10<sup>-3</sup>
Badness (Sintel): 0.697


Projection pairs: <code>7 225/32 11 4096/375 13 3375/256</code>
Projection pairs: <code>7 225/32 11 4096/375 13 3375/256</code>
Line 330: Line 348:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~26/15 = 950.961{{c}}, ~5/4 = 383.088{{c}}
* WE: ~2 = 1200.7720{{c}}, ~3/2 = 950.8976{{c}}, ~5/4 = 383.8283{{c}}
* CWE: ~2 = 1200.000{{c}}, ~26/15 = 950.426{{c}}, ~5/4 = 383.479{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 950.4265{{c}}, ~5/4 = 383.4790{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~26/15 = 950.961{{c}}, ~5/4 = 383.088{{c}} -->


{{Optimal ET sequence|legend=0| 9, 10, 19, 44, 53, 72, 125f, 197ef, 269ceff }}
{{Optimal ET sequence|legend=0| 9, 10, 19, 43e, 44, 53, 72, 125f, 197ef }}


Badness (Smith): 0.9997 × 10<sup>-3</sup>
Badness (Sintel): 0.935


== Minerva ==
== Minerva ==
Line 348: Line 367:
Lattice basis:  
Lattice basis:  
: ~16/15 length = 0.8997, ~5/4 length = 1.0457
: ~16/15 length = 0.8997, ~5/4 length = 1.0457
: angle (~16/15, ~5/4) = 98.6044 degrees
: angle (~16/15, ~5/4) = 98.6044°


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.379{{c}}, ~5/4 = 386.617{{c}}
* [[WE]]: ~2 = 1200.1086{{c}}, ~3/2 = 700.3226{{c}}, ~5/4 = 386.5931{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.301{{c}}, ~5/4 = 386.579{{c}}
: [[error map]]: {{val| +0.109 -1.524 +0.497 +5.114 -4.192 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 700.3006{{c}}, ~5/4 = 386.5785{{c}}
: error map: {{val| 0.000 -1.654 +0.265 +4.932 -4.403 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 700.379{{c}}, ~5/4 = 386.617{{c}} -->


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.7/5.11/9
[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.7/5.11/9
Line 358: Line 380:
{{Optimal ET sequence|legend=1| 9, 12, 19e, 22, 31, 53, 84e, 96, 127 }}
{{Optimal ET sequence|legend=1| 9, 12, 19e, 22, 31, 53, 84e, 96, 127 }}


[[Badness]] (Smith): 0.381 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.458


[[Projection pair]]s: <code>7 225/32 11 5625/512</code>
[[Projection pair]]s: <code>7 225/32 11 5625/512</code>
Line 374: Line 396:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.179{{c}}, ~5/4 = 385.888{{c}}
* WE: ~2 = 1199.9127{{c}}, ~3/2 = 701.1832{{c}}, ~5/4 = 385.9313{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 701.214{{c}}, ~5/4 = 385.934{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.2143{{c}}, ~5/4 = 385.9336{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.179{{c}}, ~5/4 = 385.888{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 381: Line 404:
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.11/9.13/7
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.11/9.13/7


{{Optimal ET sequence|legend=0| 12f, 19e, 22, 31, 53, 84e, 118d, 171de, 202def }}
{{Optimal ET sequence|legend=0| 12f, 19e, 22, 31, 53, 84e, 118d }}


Badness (Smith): 0.818 × 10<sup>-3</sup>
Badness (Sintel): 0.765


Projection pairs: <code>7 225/32 11 5625/512 13 625/48</code>
Projection pairs: <code>7 225/32 11 5625/512 13 625/48</code>
Line 397: Line 420:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 703.418{{c}}, ~5/4 = 381.331{{c}}
* [[WE]]: ~2 = 1199.8250{{c}}, ~3/2 = 703.3820{{c}}, ~5/4 = 381.5476{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 703.461{{c}}, ~5/4 = 381.507{{c}}
: [[error map]]: {{val| -0.175 +1.252 -5.116 +0.858 +4.313 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 703.4612{{c}}, ~5/4 = 381.5071{{c}}
: error map: {{val| 0.000 +1.506 -4.807 +1.111 +4.774 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 703.418{{c}}, ~5/4 = 381.331{{c}} -->


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.7/5.11/9
[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.7/5.11/9


{{Optimal ET sequence|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}
{{Optimal ET sequence|legend=1| 12, 19, 22, 34d, 41, 104 }}
 
[[Badness]] (Sintel): 0.637


[[Projection pair]]s: <code>7 225/32 11 100/9</code>
[[Projection pair]]s: <code>7 225/32 11 100/9</code>
Line 418: Line 446:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 703.959{{c}}, ~5/4 = 381.001{{c}}
* WE: ~2 = 1199.6919{{c}}, ~3/2 = 703.8176{{c}}, ~5/4 = 381.4372{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 703.985{{c}}, ~5/4 = 381.358{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 703.9853{{c}}, ~5/4 = 381.3579{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 703.959{{c}}, ~5/4 = 381.001{{c}} -->


Minimax tuning: 13-odd-limit unchanged-interval (eigenmonzo) basis: 2.11/9.13/9
Minimax tuning: 13-odd-limit unchanged-interval (eigenmonzo) basis: 2.11/9.13/9


{{Optimal ET sequence|legend=0| 12f, 19f, 22, 29, 34d, 41, 63, 104, 179cef, 242cde, 283def, 346bcdef }}
{{Optimal ET sequence|legend=0| 12f, 19f, 22, 29, 34d, 41, 63, 104 }}
 
Badness (Sintel): 0.964


Projection pairs: <code>7 225/32 11 100/9 13 3200/243</code>
Projection pairs: <code>7 225/32 11 100/9 13 3200/243</code>
Line 435: Line 466:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 695.937{{c}}, ~5/4 = 384.836{{c}}
* [[WE]]: ~2 = 1199.7106{{c}}, ~3/2 = 696.0036{{c}}, ~5/4 = 384.9572{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 696.059{{c}}, ~5/4 = 384.947{{c}}
: [[error map]]: {{val| -0.289 -6.241 -1.935 -7.194 +25.068 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 696.0586{{c}}, ~5/4 = 384.9472{{c}}
: error map: {{val| 0.000 -5.896 -1.367 -6.814 +25.746 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 695.937{{c}}, ~5/4 = 384.836{{c}} -->


[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.9/7.11
[[Minimax tuning]]: [[11-odd-limit]] [[eigenmonzo basis|unchanged-interval (eigenmonzo) basis]]: 2.9/7.11


{{Optimal ET sequence|legend=1| 7d, 9, 10, 12, 19, 31e, 50e }}
{{Optimal ET sequence|legend=1| 7d, 9, 10, 12, 19, 31e }}


[[Badness]] (Smith): 0.464 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.557


[[Projection pair]]s: <code>7 225/32 11 45/4</code>
[[Projection pair]]s: <code>7 225/32 11 45/4</code>
Line 454: Line 488:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 695.894{{c}}, ~5/4 = 384.602{{c}}
* WE: ~2 = 1199.8192{{c}}, ~3/2 = 695.9054{{c}}, ~5/4 = 384.6205{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 695.948{{c}}, ~5/4 = 384.637{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 695.9480{{c}}, ~5/4 = 384.6372{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 695.894{{c}}, ~5/4 = 384.602{{c}} -->


Minimax tuning:  
Minimax tuning:  
Line 461: Line 496:
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.9/7.13/9
* 15-odd-limit unchanged-interval (eigenmonzo) basis: 2.9/7.13/9


{{Optimal ET sequence|legend=0| 9, 10, 12f, 19, 31e, 50e }}
{{Optimal ET sequence|legend=0| 9, 10, 12f, 19, 31e }}


Badness (Smith): 0.733 × 10<sup>-3</sup>
Badness (Sintel): 0.686


Projection pairs: <code>7 225/32 11 45/4 13 3375/256</code>
Projection pairs: <code>7 225/32 11 45/4 13 3375/256</code>
Line 477: Line 512:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 702.322{{c}}, ~5/4 = 382.976{{c}}
* [[WE]]: ~2 = 1199.5261{{c}}, ~3/2 = 702.1990{{c}}, ~5/4 = 382.5759{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 702.054{{c}}, ~5/4 = 382.622{{c}}
: [[error map]]: {{val| +0.526 +0.770 -2.686 +1.250 -1.077 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.0535{{c}}, ~5/4 = 382.6222{{c}}
: error map: {{val| 0.000 +0.098 -3.692 +0.525 -2.188 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 702.322{{c}}, ~5/4 = 382.976{{c}} -->


{{Optimal ET sequence|legend=1| 12e, 19e, 34d, 41, 53, 60e, 94, 229c, 248ce, 289cce, 342ccee, 383cce }}
{{Optimal ET sequence|legend=1| 12e, 19e, 34d, 41, 53, 60e, 94, 229c, 248ce, 289cce }}


[[Badness]] (Smith): 1.250 × 10<sup>-3</sup>
[[Badness]] (Sintel): 1.50


=== 13-limit ===
=== 13-limit ===
Line 492: Line 530:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 702.235{{c}}, ~5/4 = 383.205{{c}}
* WE: ~2 = 1200.2427{{c}}, ~3/2 = 702.1575{{c}}, ~5/4 = 383.0704{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 702.088{{c}}, ~5/4 = 383.063{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.0882{{c}}, ~5/4 = 383.0630{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 702.235{{c}}, ~5/4 = 383.205{{c}} -->


{{Optimal ET sequence|legend=0| 12e, 19e, 34d, 41, 53, 94, 429ccdeef, 523ccdeef }}
{{Optimal ET sequence|legend=0| 12e, 19e, 34d, 41, 53, 94 }}


Badness (Smith): 1.075 × 10<sup>-3</sup>
Badness (Sintel): 1.00


Scales: [[malco]]
Scales: [[malco]]
Line 514: Line 553:
Lattice basis:  
Lattice basis:  
: ~15/14 length = 0.9111, ~3/2 length = 0.9477
: ~15/14 length = 0.9111, ~3/2 length = 0.9477
: angle (~15/14, ~3/2) = 65.933
: angle (~15/14, ~3/2) = 65.933°


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 699.995{{c}}, ~5/4 = 384.330{{c}}
* [[WE]]: ~2 = 1200.7854{{c}}, ~3/2 = 700.2562{{c}}, ~5/4 = 383.7624{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 699.861{{c}}, ~5/4 = 383.772{{c}}
: [[error map]]: {{val| +0.785 -0.913 -0.980 -0.003 +0.721 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 699.8610{{c}}, ~5/4 = 383.7724{{c}}
: error map: {{val| 0.000 -2.094 -2.541 -1.559 -0.835 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 699.995{{c}}, ~5/4 = 384.330{{c}} -->


[[Minimax tuning]]:
[[Minimax tuning]]:
Line 527: Line 569:
{{Optimal ET sequence|legend=1| 10, 12, 19e, 29, 31, 41, 60e, 72, 247c, 319bcde, 391bcde, 463bccde }}
{{Optimal ET sequence|legend=1| 10, 12, 19e, 29, 31, 41, 60e, 72, 247c, 319bcde, 391bcde, 463bccde }}


[[Badness]] (Smith): 0.344 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.402


[[Projection pair]]s: <code>7 225/32 11 91125/8192</code>
[[Projection pair]]s: <code>7 225/32 11 91125/8192</code>
Line 549: Line 591:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.617{{c}}, ~5/4 = 382.244{{c}}
* WE: ~2 = 1200.8252{{c}}, ~3/2 = 700.8823{{c}}, ~5/4 = 381.6647{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 700.469{{c}}, ~5/4 = 381.669{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.4689{{c}}, ~5/4 = 381.6687{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.617{{c}}, ~5/4 = 382.244{{c}} -->


{{Optimal ET sequence|legend=0| 10, 12f, 19e, 29, 31, 41, 60e, 72f, 91e, 101cd, 132def, 233ccddeef, 274ccddeff, 305ccddeeff }}
{{Optimal ET sequence|legend=0| 10, 12f, 19e, 29, 31, 41, 60e, 72f, 101cd }}


Badness (Smith): 0.736 × 10<sup>-3</sup>
Badness (Sintel): 0.689


=== Prodigious ===
=== Prodigious ===
Line 564: Line 607:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.305{{c}}, ~5/4 = 384.075{{c}}
* WE: ~2 = 1200.6284{{c}}, ~3/2 = 700.7075{{c}}, ~5/4 = 383.4599{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 700.330{{c}}, ~5/4 = 383.503{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.3302{{c}}, ~5/4 = 383.5030{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 700.305{{c}}, ~5/4 = 384.075{{c}} -->


{{Optimal ET sequence|legend=0| 12f, 29, 31f, 41, 72, 185cf, 341cf, 413bcff, 526bccdff }}
{{Optimal ET sequence|legend=0| 12f, 29, 31f, 41, 72, 185cf, 257cff }}


Badness (Smith): 0.900 × 10<sup>-3</sup>
Badness (Sintel): 0.841


=== Prodigal ===
=== Prodigal ===
Line 579: Line 623:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 699.698{{c}}, ~5/4 = 384.884{{c}}
* WE: ~2 = 1200.7798{{c}}, ~3/2 = 699.9410{{c}}, ~5/4 = 384.3494{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 699.554{{c}}, ~5/4 = 384.350{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.5538{{c}}, ~5/4 = 384.3496{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 699.698{{c}}, ~5/4 = 384.884{{c}} -->


{{Optimal ET sequence|legend=0| 12f, 19e, 31, 53e, 60eff, 72, 103, 175f }}
{{Optimal ET sequence|legend=0| 12f, 19e, 31, 53e, 60eff, 72, 103, 175f }}


Badness (Smith): 0.889 × 10<sup>-3</sup>
Badness (Sintel): 0.831


=== Protannic ===
=== Protannic ===
Line 594: Line 639:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 698.947{{c}}, ~5/4 = 385.480{{c}}
* WE: ~2 = 1200.9450{{c}}, ~3/2 = 700.1045{{c}}, ~5/4 = 383.8716{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 699.422{{c}}, ~5/4 = 383.983{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.4224{{c}}, ~5/4 = 383.9828{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 698.947{{c}}, ~5/4 = 385.480{{c}} -->


{{Optimal ET sequence|legend=0| 29, 31, 43, 60e, 72, 103, 175f, 482bccddeefff, 554bbccddeeeffff }}
{{Optimal ET sequence|legend=0| 29, 31, 43, 60e, 72, 103, 175f, 482bccddeefff, 554bbccddeeeffff }}


Badness (Smith): 0.953 × 10<sup>-3</sup>
Badness (Sintel): 0.891


==== 17-limit ====
==== 17-limit ====
Line 609: Line 655:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 698.969{{c}}, ~5/4 = 385.440{{c}}
* WE: ~2 = 1200.9342{{c}}, ~3/2 = 700.1708{{c}}, ~5/4 = 383.7444{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 699.485{{c}}, ~5/4 = 383.874{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 699.4849{{c}}, ~5/4 = 383.8744{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 698.969{{c}}, ~5/4 = 385.440{{c}} -->


{{Optimal ET sequence|legend=0| 29g, 31, 43, 60e, 72, 103, 175f, 307bcdeeffg, 379bccdeeffgg, 482bccddeefffgg, 554bbccddeeeffffgg }}
{{Optimal ET sequence|legend=0| 29g, 31, 43, 60e, 72, 103, 175f, 307bcdeeffg, 379bccdeeffgg, 482bccddeefffgg, 554bbccddeeeffffgg }}


Badness (Smith): 0.772 × 10<sup>-3</sup>
Badness (Sintel): 0.734


== Fantastic ==
== Fantastic ==
Line 627: Line 674:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~99/70 = 600.000{{c}}, ~3/2 = 701.132{{c}}, ~5/4 = 383.926{{c}}
* [[WE]]: ~99/70 = 600.2896{{c}}, ~3/2 = 700.9624{{c}}, ~5/4 = 383.4829{{c}}
* [[CWE]]: ~99/70 = 600.000{{c}}, ~3/2 = 700.816{{c}}, ~5/4 = 383.535{{c}}
: [[error map]]: {{val| +0.579 -0.413 -1.672 +0.644 +0.579 }}
* [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 700.8160{{c}}, ~5/4 = 383.5350{{c}}
: error map: {{val| 0.000 -1.139 -2.779 -0.124 -0.713 }}
<!-- * [[CTE]]: ~99/70 = 600.000{{c}}, ~3/2 = 701.132{{c}}, ~5/4 = 383.926{{c}} -->


{{Optimal ET sequence|legend=1| 12, 22, 34d, 50, 60e, 72, 166, 238c, 310c }}
{{Optimal ET sequence|legend=1| 12, 22, 34d, 50, 60e, 72, 166, 238c, 310c }}


[[Badness]] (Smith): 0.743 × 10<sup>-3</sup>
[[Badness]] (Sintel): 0.893


== Hestia ==
== Hestia ==
Line 645: Line 695:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~400/231 = 950.043{{c}}, ~5/4 = 384.858{{c}}
* [[WE]]: ~2 = 1200.6417{{c}}, ~400/231 = 950.6555{{c}}, ~5/4 = 383.8518{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~400/231 = 950.121{{c}}, ~5/4 = 383.953{{c}}
: [[error map]]: {{val| +0.642 -0.644 -1.179 +0.858 -0.131 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~400/231 = 950.1211{{c}}, ~5/4 = 383.9530{{c}}
: error map: {{val| 0.000 -1.712 -2.361 -0.436 -2.165 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~400/231 = 950.043{{c}}, ~5/4 = 384.858{{c}} -->


{{Optimal ET sequence|legend=1| 19, 29, 43, 53, 72, 197e, 269ce, 341ce, 610bce }}
{{Optimal ET sequence|legend=1| 19, 29, 43, 53, 72, 197e, 269ce, 341ce }}


[[Badness]] (Smith): 1.54 × 10<sup>-3</sup>
[[Badness]] (Sintel): 1.845


=== 13-limit ===
=== 13-limit ===
Line 660: Line 713:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~26/15 = 950.131{{c}}, ~5/4 = 385.245{{c}}
* WE: ~2 = 1200.8238{{c}}, ~26/15 = 950.8873{{c}}, ~5/4 = 383.8191{{c}}
* CWE: ~2 = 1200.000{{c}}, ~26/15 = 950.211{{c}}, ~5/4 = 383.949{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~26/15 = 950.2108{{c}}, ~5/4 = 383.9486{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~26/15 = 950.131{{c}}, ~5/4 = 385.245{{c}} -->


{{Optimal ET sequence|legend=0| 19, 29, 43, 53, 72, 125f, 197ef, 269cef }}
{{Optimal ET sequence|legend=0| 19, 29, 43, 53, 72, 125f, 197ef }}


Badness (Smith): 1.062 × 10<sup>-3</sup>
Badness (Sintel): 0.993


== Morfil ==
== Morfil ==
Line 672: Line 726:
[[Comma list]]: 225/224, 1331/1323
[[Comma list]]: 225/224, 1331/1323


{{Mapping|legend=1| 1 0 1 -3 -2 | 0 1 2 6 5 | 0 0 -3 -6 -4 }}
{{Mapping|legend=1| 1 0 -2 -9 -6 | 0 1 2 6 5 | 0 0 3 6 4 }}
: mapping generators: ~2, ~3, ~84/55
: mapping generators: ~2, ~3, ~55/42


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.459{{c}}, ~84/55 = 739.747{{c}}
* [[WE]]: ~2 = 1200.5931{{c}}, ~3/2 = 701.2447{{c}}, ~55/42 = 460.8465{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.111{{c}}, ~84/55 = 739.451{{c}}
: [[error map]]: {{val| +0.593 -0.117 -1.285 +1.942 -2.302 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.1108{{c}}, ~55/42 = 460.5488{{c}}
: error map: {{val| 0.000 -0.844 -2.446 +1.131 -3.569 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~3/2 = 701.459{{c}}, ~84/55 = 739.747{{c}} -->


{{Optimal ET sequence|legend=1| 29, 31, 60e, 91e, 94, 125 }}
{{Optimal ET sequence|legend=1| 29, 31, 60e, 91e, 94, 125 }}


[[Badness]] (Smith): 1.152 × 10<sup>-3</sup>
[[Badness]] (Sintel): 1.38


== Catakleismoid ==
== Catakleismoid ==
Line 694: Line 751:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1200.000{{c}}, ~6/5 = 316.834{{c}}, ~11/8 = 551.318{{c}}
* [[WE]]: ~2 = 1200.5965{{c}}, ~6/5 = 316.8893{{c}}, ~11/8 = 549.5258{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~6/5 = 316.771{{c}}, ~11/8 = 550.034{{c}}
: [[error map]]: {{val| +0.596 -0.619 -1.271 +0.948 -0.003 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~6/5 = 316.7705{{c}}, ~11/8 = 550.0343{{c}}
: error map: {{val| 0.000 -1.332 -2.461 +0.126 -1.284 }}
<!-- * [[CTE]]: ~2 = 1200.000{{c}}, ~6/5 = 316.834{{c}}, ~11/8 = 551.318{{c}} -->


{{Optimal ET sequence|legend=1| 19, 34d, 53, 72, 197e, 269ce }}
{{Optimal ET sequence|legend=1| 19, 34d, 53, 72, 197e, 269ce, 341ce }}


[[Badness]] (Smith): 1.275 × 10<sup>-3</sup>
[[Badness]] (Sintel): 1.53


=== 13-limit ===
=== 13-limit ===
Line 709: Line 769:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~6/5 = 316.886{{c}}, ~11/8 = 551.318{{c}}
* WE: ~2 = 1200.8238{{c}}, ~6/5 = 316.9478{{c}}, ~11/8 = 548.9611{{c}}
* CWE: ~2 = 1200.000{{c}}, ~6/5 = 316.794{{c}}, ~11/8 = 549.590{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~6/5 = 316.7939{{c}}, ~11/8 = 549.5903{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~6/5 = 316.886{{c}}, ~11/8 = 551.318{{c}} -->


Optimal ET sequence: {{Optimal ET sequence| 19, 34d, 53, 72, 125f, 197ef, 269cef }}
Optimal ET sequence: {{Optimal ET sequence| 19, 34d, 53, 72, 125f, 197ef }}


Badness (Smith): 0.916 × 10<sup>-3</sup>
Badness (Sintel): 0.853


== Subgroup extensions ==
== Subgroup extensions ==
Line 725: Line 786:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.244{{c}}, ~5/4 = 384.789{{c}}
* WE: ~2 = 1199.3681{{c}}, ~3/2 = 701.3669{{c}}, ~5/4 = 384.9641{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 701.6286{{c}}, ~5/4 = 385.0841{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.244{{c}}, ~5/4 = 384.789{{c}} -->


{{Optimal ET sequence|legend=0| 9, 10, 12, 19, 22, 31, 41, 53 }}
{{Optimal ET sequence|legend=0| 9, 10, 12, 19, 22, 31, 41, 53 }}
Badness (Sintel): 0.381


=== Devimarvel ===
=== Devimarvel ===
Line 737: Line 802:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.904{{c}}, ~5/4 = 384.260{{c}}
* WE: ~2 = 1200.3454{{c}}, ~3/2 = 701.1728{{c}}, ~5/4 = 383.7499{{c}}
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 700.9546{{c}}, ~5/4 = 383.7912{{c}}
<!-- * CTE: ~2 = 1200.000{{c}}, ~3/2 = 701.904{{c}}, ~5/4 = 384.260{{c}} -->
 
{{Optimal ET sequence|legend=0| 10, 12, 19, 22, 31, 41, 53, 72, 94, 113, 125, 291c }}


{{Optimal ET sequence|legend=0| 10, 12, 19, 22, 31, 41, 53, 72, 94 }}
Badness (Sintel): 0.310


== References ==
== References ==
Retrieved from "https://en.xen.wiki/w/Marvel_family"