Aberschismic temperaments: Difference between revisions

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Temperaments considered below are undecental, leapday, hemidromeda, mystery, quanic, septiquarter, countriton, artoneutral and ketchup. Discussed elsewhere are:

* ''[[Dominant (temperament)|Dominant]]'' (+36/35) → [[Meantone family #Dominant|Meantone family]]

* [[Dominant (temperament)|Dominant]] (+36/35) → [[Meantone family #Dominant|Meantone family]]

* [[Garibaldi]] (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]

* ''[[Kwai]]'' (+16875/16807) → [[Mirkwai clan #Kwai|Mirkwai clan]]

* ''[[Diaschismic]]'' (+126/125) → [[Diaschismic family #Septimal diaschismic|Diaschismic family]]

* [[Diaschismic]] (+126/125) → [[Diaschismic family #Septimal diaschismic|Diaschismic family]]

* [[Hemififths]] (+2401/2400) → [[Breedsmic temperaments #Hemififths|Breedsmic temperaments]]

* [[Rodan]] (+245/243) → [[Gamelismic clan #Rodan|Gamelismic clan]]

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== Undecental ==

Undecental adds the triwellisma to the comma list and may be described as the 29 & 70 temperament. 5/4 is mapped to the quintuple diminished seventh ~~(5d7)~~ or equivalently the perfect fourth (P4) ~~- 3 Pyth. commas~~. [[99edo|58\99]] is an almost perfect generator, just as the name suggests. Another interesting choice is the argent fifth, 2<sup>(2 - sqrt (2))</sup>.

Undecental adds the triwellisma to the comma list and may be described as the {{nowrap| 29 & 70 }} temperament. 5/4 is mapped to the quintuple-diminished seventh or equivalently the perfect fourth minus three [[diesis (scale theory)|dieses]]. [[99edo|58\99]] is an almost perfect generator, just as the name suggests. Another interesting tuning choice is the argent fifth, {{nowrap| 2<sup>(2 - sqrt (2))</sup> }}.

[[Subgroup]]: 2.3.5.7

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== Leapday ==

: ''For the 5-limit version ~~of this temperament~~, see [[~~High badness~~ temperaments #Leapday]].''

: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Leapday]].''

Leapday tempers out the leapday comma, {{monzo| 31 -21 1 }}, in the 5-limit, mapping 5/4 to the triple-augmented unison ~~(3A1)~~ or equivalently the minor third ~~(m3) + 2 Pyth~~. ~~commas. This temperament~~ can be described as the 29 &~~amp;~~ 46 temperament, which tempers out the hemifamity and [[686/675]] (senga). ~~The~~ alternative extension [[~~Porwell~~ temperaments #Polypyth|polypyth]] ~~(46 & 121)~~ tempers out the same 5-limit comma as ~~the~~ leapday, but with the porwell ([[6144/6125]]) rather than the hemifamity tempered out.

Leapday tempers out the leapday comma, {{monzo| 31 -21 1 }}, in the 5-limit, mapping 5/4 to the triple-augmented unison or equivalently the minor third and two dieses. In the 7-limit it can be described as the {{nowrap| 29 & 46 }} temperament, which tempers out the hemifamity and [[686/675]] (senga), and extends [[leapfrog]].

It has an alternative extension called [[porwell temperaments #Polypyth|polypyth]], which tempers out the same 5-limit comma as leapday, but with the porwell ([[6144/6125]]) rather than the hemifamity comma tempered out.

[[Subgroup]]: 2.3.5.7

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* POTE: ~2 = 1\1, ~3/2 = 704.250

Badness: 0.038624

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* POTE: ~2 = 1\1, ~3/2 = 704.214

Badness: 0.024732

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* POTE: ~2 = 1\1, ~3/2 = 704.229

Badness: 0.017863

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* POTE: ~2 = 1\1, ~3/2 = 704.135

{{Optimal ET sequence|legend=1| 17cg, 29g, 46, 75dfgh, 121defgh }}

{{Optimal ET sequence|legend=0| 17cg, 29g, 46, 75dfgh, 121defgh }}

Badness: 0.017356

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* POTE: ~2 = 1\1, ~3/2 = 704.141

{{Optimal ET sequence|legend=1| 17cg, 29g, 46, 75dfgh, 121defgh }}

{{Optimal ET sequence|legend=0| 17cg, 29g, 46, 75dfgh, 121defgh }}

Badness: 0.014065

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* POTE: ~2 = 1\1, ~3/2 = 704.123

Badness: 0.019065

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* POTE: ~2 = 1\1, ~3/2 = 704.114

Badness: 0.016067

== Hemidromeda ==

The name ''hemidromeda'' comes from "hemi-" (Ancient Greek for "one half") and "[[~~Wikipedia:Andromeda|Andromeda~~]]", because the generator is 1/2 of ~~the [[Schismatic family #Garibaldi|~~andromeda~~]] fourth~~ (~4/3, about ~~497~~.6 cents).

Hemidromeda may be described as the {{nowrap| 29 & 111 }} temperament. The name ''hemidromeda'' comes from "hemi-" (Ancient Greek for "one half") and ''[[andromeda]]'', because the generator is 1/2 of andromeda's perfect twelfth (~3/1, about 1902.4 cents).

[[Subgroup]]: 2.3.5.7

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Optimal tuning (CTE): ~2 = 1\1, ~405/352 = 248.589

~~Optimal ET sequence:~~ {{Optimal ET sequence| 29, 82cd, 111, 140, 251, 391e }}

Badness: 0.060808

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Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.588

~~Optimal ET sequence:~~ {{Optimal ET sequence| 29, 82cdf, 111, 140, 391e, 531e }}

{{Optimal ET sequence|legend=0| 29, 82cdf, 111, 140, 391e, 531e }}

Badness: 0.028632

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Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.591

~~Optimal ET sequence:~~ {{Optimal ET sequence| 29g, 82cdfg, 111, 140, 251, 391e }}

{{Optimal ET sequence|legend=0| 29g, 82cdfg, 111, 140, 251, 391e }}

Badness: 0.019054

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Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.587

~~Optimal ET sequence:~~ {{Optimal ET sequence| 29g, 82cdfgh, 111, 140, 391ehh, 531ehh }}

{{Optimal ET sequence|legend=0| 29g, 82cdfgh, 111, 140, 391ehh, 531ehh }}

Badness: 0.016609

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Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.588

~~Optimal ET sequence:~~ {{Optimal ET sequence| 29g, 82cdfgh, 111, 140, 391ehhi, 531ehhii }}

{{Optimal ET sequence|legend=0| 29g, 82cdfgh, 111, 140, 391ehhi, 531ehhii }}

Badness: 0.015361

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== Mystery ==

: ''For the 5-limit version ~~of this temperament~~, see [[29th-octave temperaments #Mystery]].''

: ''For the 5-limit version, see [[29th-octave temperaments #Mystery]].''

Mystery has a 1\29 period and primes 5, 7, 11 and 13 are all reached by one generator step. [[145edo]] or [[232edo]] are good candidates for tunings.

Mystery tempers out [[50421/50000]] and may be described as the {{nowrap| 29 & 58 }} temperament. It has a 1\29 period and primes 5, 7, 11 and 13 are all reached by one generator step. [[145edo]] or [[232edo]] are good candidates for tunings.

[[Subgroup]]: 2.3.5.7

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Optimal tuning (POTE): ~45/44 = 1\29, ~5/4 = 388.460

Badness: 0.034291

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Optimal tuning (POTE): ~45/44 = 1\29, ~5/4 = 388.354

Badness: 0.018591

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Optimal tuning (POTE): ~2 = 1\1, ~88/81 = 140.489

Badness: 0.058678

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Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.496

Badness: 0.032481

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Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.497

Badness: 0.021112

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Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.496

Badness: 0.017273

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Optimal tuning (POTE): ~2 = 1\1, ~121/105 = 242.4511

Badness: 0.064160

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Optimal tuning (POTE): ~2 = 1\1, ~121/105 = 242.4448

Badness: 0.034834

== Countriton ==

: ''For the 5-limit version ~~of this temperament~~, see [[Schismic–Mercator equivalence continuum ~~#Countritonic]] and [[High badness temperaments~~ #Countritonic]].''

: ''For the 5-limit version, see [[Schismic–Mercator equivalence continuum #Countritonic]].''

[[Subgroup]]: 2.3.5.7

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Optimal tuning (POTE): ~2 = 1\1, ~108/77 = 588.545

~~Optimal ET sequence:~~ {{Optimal ET sequence| 53, 104c, 157 }}

Badness: 0.084782

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Optimal tuning (POTE): ~2 = 1\1, ~108/77 = 588.544

~~Optimal ET sequence:~~ {{Optimal ET sequence| 53, 104c, 157 }}

Badness: 0.042321

== Artoneutral ==

Artoneutral is generated by an artoneutral third of ~11/9 (or a tendoneutral sixth of ~18/11) and can be described as the 87 & 94 temperament. [[181edo]] is a ~~recommendable~~ tuning.

Artoneutral is generated by an artoneutral third of ~11/9 (or a tendoneutral sixth of ~18/11) and can be described as the {{nowrap| 87 & 94 }} temperament. [[181edo]] may be recommended as a tuning.

[[Subgroup]]: 2.3.5.7

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Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2397

~~Optimal ET sequence:~~ {{Optimal ET sequence| 87, 181 }}

Badness: 0.045920

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Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2369

~~Optimal ET sequence:~~ {{Optimal ET sequence| 87, 181 }}

Badness: 0.026257

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Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2495

~~Optimal ET sequence:~~ {{Optimal ET sequence| 87, 94, 181 }}

Badness: 0.022749

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Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2534

~~Optimal ET sequence:~~ {{Optimal ET sequence| 87, 94, 181 }}

Badness: 0.019585

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Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2576

~~Optimal ET sequence:~~ {{Optimal ET sequence| 87, 94, 181 }}

Badness: 0.016332

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Optimal tuning (POTE): ~99/70 = 1\2, ~64/63 = 25.693

~~Optimal ET sequence:~~ {{Optimal ET sequence| 46, 94, 140 }}

Badness: 0.039555

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Optimal tuning (POTE): ~99/70 = 1\2, ~66/65 = 25.697

~~Optimal ET sequence:~~ {{Optimal ET sequence| 46, 94, 140 }}

Badness: 0.024824

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Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.701

~~Optimal ET sequence:~~ {{Optimal ET sequence| 46, 94, 140 }}

Badness: 0.016591

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Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.660

~~Optimal ET sequence:~~ {{Optimal ET sequence| 46, 94, 140h, 234eh }}

Badness: 0.018170

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Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.661

~~Optimal ET sequence:~~ {{Optimal ET sequence| 46, 94, 140h, 234ehi }}

Badness: 0.014033

@@ Line 7: / Line 7: @@
 Temperaments considered below are undecental, leapday, hemidromeda, mystery, quanic, septiquarter, countriton, artoneutral and ketchup. Discussed elsewhere are:
-* ''[[Dominant (temperament)|Dominant]]'' (+36/35) → [[Meantone family #Dominant|Meantone family]]
+* [[Dominant (temperament)|Dominant]] (+36/35) → [[Meantone family #Dominant|Meantone family]]
 * [[Garibaldi]] (+225/224) → [[Schismatic family #Garibaldi|Schismatic family]]
 * ''[[Kwai]]'' (+16875/16807) → [[Mirkwai clan #Kwai|Mirkwai clan]]
-* ''[[Diaschismic]]'' (+126/125) → [[Diaschismic family #Septimal diaschismic|Diaschismic family]]
+* [[Diaschismic]] (+126/125) → [[Diaschismic family #Septimal diaschismic|Diaschismic family]]
 * [[Hemififths]] (+2401/2400) → [[Breedsmic temperaments #Hemififths|Breedsmic temperaments]]
 * [[Rodan]] (+245/243) → [[Gamelismic clan #Rodan|Gamelismic clan]]
@@ Line 27: / Line 27: @@
 == Undecental ==
-Undecental adds the triwellisma to the comma list and may be described as the 29 & 70 temperament. 5/4 is mapped to the quintuple diminished seventh (5d7) or equivalently the perfect fourth (P4) - 3 Pyth. commas. [[99edo|58\99]] is an almost perfect generator, just as the name suggests. Another interesting choice is the argent fifth, 2<sup>(2 - sqrt (2))</sup>.
+Undecental adds the triwellisma to the comma list and may be described as the {{nowrap| 29 & 70 }} temperament. 5/4 is mapped to the quintuple-diminished seventh or equivalently the perfect fourth minus three [[diesis (scale theory)|dieses]]. [[99edo|58\99]] is an almost perfect generator, just as the name suggests. Another interesting tuning choice is the argent fifth, {{nowrap| 2<sup>(2 - sqrt (2))</sup> }}.
 [[Subgroup]]: 2.3.5.7
@@ Line 43: / Line 43: @@
 == Leapday ==
 {{Main| Leapday }}
-: ''For the 5-limit version of this temperament, see [[High badness temperaments #Leapday]].''
+: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Leapday]].''
-Leapday tempers out the leapday comma, {{monzo| 31 -21 1 }}, in the 5-limit, mapping 5/4 to the triple-augmented unison (3A1) or equivalently the minor third (m3) + 2 Pyth. commas. This temperament can be described as the 29 &amp; 46 temperament, which tempers out the hemifamity and [[686/675]] (senga). The alternative extension [[Porwell temperaments #Polypyth|polypyth]] (46 &amp; 121) tempers out the same 5-limit comma as the leapday, but with the porwell ([[6144/6125]]) rather than the hemifamity tempered out.
+Leapday tempers out the leapday comma, {{monzo| 31 -21 1 }}, in the 5-limit, mapping 5/4 to the triple-augmented unison or equivalently the minor third and two dieses. In the 7-limit it can be described as the {{nowrap| 29 & 46 }} temperament, which tempers out the hemifamity and [[686/675]] (senga), and extends [[leapfrog]].
+It has an alternative extension called [[porwell temperaments #Polypyth|polypyth]], which tempers out the same 5-limit comma as leapday, but with the porwell ([[6144/6125]]) rather than the hemifamity comma tempered out.
 [[Subgroup]]: 2.3.5.7
@@ Line 72: / Line 74: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.250
-{{Optimal ET sequence|legend=1| 17c, 29, 46 }}
+{{Optimal ET sequence|legend=0| 17c, 29, 46 }}
 Badness: 0.038624
@@ Line 87: / Line 89: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.214
-{{Optimal ET sequence|legend=1| 17c, 29, 46, 121def }}
+{{Optimal ET sequence|legend=0| 17c, 29, 46, 121def }}
 Badness: 0.024732
@@ Line 102: / Line 104: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.229
-{{Optimal ET sequence|legend=1| 17cg, 29g, 46, 121defg }}
+{{Optimal ET sequence|legend=0| 17cg, 29g, 46, 121defg }}
 Badness: 0.017863
@@ Line 117: / Line 119: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.135
-{{Optimal ET sequence|legend=1| 17cg, 29g, 46, 75dfgh, 121defgh }}
+{{Optimal ET sequence|legend=0| 17cg, 29g, 46, 75dfgh, 121defgh }}
 Badness: 0.017356
@@ Line 132: / Line 134: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.141
-{{Optimal ET sequence|legend=1| 17cg, 29g, 46, 75dfgh, 121defgh }}
+{{Optimal ET sequence|legend=0| 17cg, 29g, 46, 75dfgh, 121defgh }}
 Badness: 0.014065
@@ Line 147: / Line 149: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.123
-{{Optimal ET sequence|legend=1| 17cgh, 29g, 46h, 75dfg }}
+{{Optimal ET sequence|legend=0| 17cgh, 29g, 46h, 75dfg }}
 Badness: 0.019065
@@ Line 162: / Line 164: @@
 * POTE: ~2 = 1\1, ~3/2 = 704.114
-{{Optimal ET sequence|legend=1| 17cgh, 29g, 46h, 75dfg }}
+{{Optimal ET sequence|legend=0| 17cgh, 29g, 46h, 75dfg }}
 Badness: 0.016067
 == Hemidromeda ==
-The name ''hemidromeda'' comes from "hemi-" (Ancient Greek for "one half") and "[[Wikipedia:Andromeda|Andromeda]]", because the generator is 1/2 of the [[Schismatic family #Garibaldi|andromeda]] fourth (~4/3, about 497.6 cents).
+Hemidromeda may be described as the {{nowrap| 29 & 111 }} temperament. The name ''hemidromeda'' comes from "hemi-" (Ancient Greek for "one half") and ''[[andromeda]]'', because the generator is 1/2 of andromeda's perfect twelfth (~3/1, about 1902.4 cents).
 [[Subgroup]]: 2.3.5.7
@@ Line 192: / Line 194: @@
 Optimal tuning (CTE): ~2 = 1\1, ~405/352 = 248.589
-Optimal ET sequence: {{Optimal ET sequence| 29, 82cd, 111, 140, 251, 391e }}
+{{Optimal ET sequence|legend=0| 29, 82cd, 111, 140, 251, 391e }}
 Badness: 0.060808
@@ Line 205: / Line 207: @@
 Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.588
-Optimal ET sequence: {{Optimal ET sequence| 29, 82cdf, 111, 140, 391e, 531e }}
+{{Optimal ET sequence|legend=0| 29, 82cdf, 111, 140, 391e, 531e }}
 Badness: 0.028632
@@ Line 218: / Line 220: @@
 Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.591
-Optimal ET sequence: {{Optimal ET sequence| 29g, 82cdfg, 111, 140, 251, 391e }}
+{{Optimal ET sequence|legend=0| 29g, 82cdfg, 111, 140, 251, 391e }}
 Badness: 0.019054
@@ Line 231: / Line 233: @@
 Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.587
-Optimal ET sequence: {{Optimal ET sequence| 29g, 82cdfgh, 111, 140, 391ehh, 531ehh }}
+{{Optimal ET sequence|legend=0| 29g, 82cdfgh, 111, 140, 391ehh, 531ehh }}
 Badness: 0.016609
@@ Line 244: / Line 246: @@
 Optimal tuning (CTE): ~2 = 1\1, ~15/13 = 248.588
-Optimal ET sequence: {{Optimal ET sequence| 29g, 82cdfgh, 111, 140, 391ehhi, 531ehhii }}
+{{Optimal ET sequence|legend=0| 29g, 82cdfgh, 111, 140, 391ehhi, 531ehhii }}
 Badness: 0.015361
@@ Line 250: / Line 252: @@
 == Mystery ==
 {{Main| Mystery }}
-: ''For the 5-limit version of this temperament, see [[29th-octave temperaments #Mystery]].''
+: ''For the 5-limit version, see [[29th-octave temperaments #Mystery]].''
-Mystery has a 1\29 period and primes 5, 7, 11 and 13 are all reached by one generator step. [[145edo]] or [[232edo]] are good candidates for tunings.
+Mystery tempers out [[50421/50000]] and may be described as the {{nowrap| 29 & 58 }} temperament. It has a 1\29 period and primes 5, 7, 11 and 13 are all reached by one generator step. [[145edo]] or [[232edo]] are good candidates for tunings.
 [[Subgroup]]: 2.3.5.7
@@ Line 275: / Line 277: @@
 Optimal tuning (POTE): ~45/44 = 1\29, ~5/4 = 388.460
-{{Optimal ET sequence|legend=1| 29, 58, 87, 145 }}
+{{Optimal ET sequence|legend=0| 29, 58, 87, 145 }}
 Badness: 0.034291
@@ Line 288: / Line 290: @@
 Optimal tuning (POTE): ~45/44 = 1\29, ~5/4 = 388.354
-{{Optimal ET sequence|legend=1| 29, 58, 87, 145, 232, 377cef }}
+{{Optimal ET sequence|legend=0| 29, 58, 87, 145, 232, 377cef }}
 Badness: 0.018591
@@ Line 314: / Line 316: @@
 Optimal tuning (POTE): ~2 = 1\1, ~88/81 = 140.489
-{{Optimal ET sequence|legend=1| 94, 111, 205 }}
+{{Optimal ET sequence|legend=0| 94, 111, 205 }}
 Badness: 0.058678
@@ Line 327: / Line 329: @@
 Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.496
-{{Optimal ET sequence|legend=1| 94, 111, 205 }}
+{{Optimal ET sequence|legend=0| 94, 111, 205 }}
 Badness: 0.032481
@@ Line 340: / Line 342: @@
 Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.497
-{{Optimal ET sequence|legend=1| 94, 111, 205 }}
+{{Optimal ET sequence|legend=0| 94, 111, 205 }}
 Badness: 0.021112
@@ Line 353: / Line 355: @@
 Optimal tuning (POTE): ~2 = 1\1, ~13/12 = 140.496
-{{Optimal ET sequence|legend=1| 94, 111, 205 }}
+{{Optimal ET sequence|legend=0| 94, 111, 205 }}
 Badness: 0.017273
@@ Line 379: / Line 381: @@
 Optimal tuning (POTE): ~2 = 1\1, ~121/105 = 242.4511
-{{Optimal ET sequence|legend=1| 94, 198, 292, 490 }}
+{{Optimal ET sequence|legend=0| 94, 198, 292, 490 }}
 Badness: 0.064160
@@ Line 392: / Line 394: @@
 Optimal tuning (POTE): ~2 = 1\1, ~121/105 = 242.4448
-{{Optimal ET sequence|legend=1| 94, 198, 490f }}
+{{Optimal ET sequence|legend=0| 94, 198, 490f }}
 Badness: 0.034834
 == Countriton ==
-: ''For the 5-limit version of this temperament, see [[Schismic–Mercator equivalence continuum #Countritonic]] and [[High badness temperaments #Countritonic]].''
+: ''For the 5-limit version, see [[Schismic–Mercator equivalence continuum #Countritonic]].''
 [[Subgroup]]: 2.3.5.7
@@ Line 420: / Line 422: @@
 Optimal tuning (POTE): ~2 = 1\1, ~108/77 = 588.545
-Optimal ET sequence: {{Optimal ET sequence| 53, 104c, 157 }}
+{{Optimal ET sequence|legend=0| 53, 104c, 157 }}
 Badness: 0.084782
@@ Line 433: / Line 435: @@
 Optimal tuning (POTE): ~2 = 1\1, ~108/77 = 588.544
-Optimal ET sequence: {{Optimal ET sequence| 53, 104c, 157 }}
+{{Optimal ET sequence|legend=0| 53, 104c, 157 }}
 Badness: 0.042321
 == Artoneutral ==
-Artoneutral is generated by an artoneutral third of ~11/9 (or a tendoneutral sixth of ~18/11) and can be described as the 87 & 94 temperament. [[181edo]] is a recommendable tuning.
+Artoneutral is generated by an artoneutral third of ~11/9 (or a tendoneutral sixth of ~18/11) and can be described as the {{nowrap| 87 & 94 }} temperament. [[181edo]] may be recommended as a tuning.
 [[Subgroup]]: 2.3.5.7
@@ Line 463: / Line 465: @@
 Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2397
-Optimal ET sequence: {{Optimal ET sequence| 87, 181 }}
+{{Optimal ET sequence|legend=0| 87, 181 }}
 Badness: 0.045920
@@ Line 476: / Line 478: @@
 Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2369
-Optimal ET sequence: {{Optimal ET sequence| 87, 181 }}
+{{Optimal ET sequence|legend=0| 87, 181 }}
 Badness: 0.026257
@@ Line 489: / Line 491: @@
 Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2495
-Optimal ET sequence: {{Optimal ET sequence| 87, 94, 181 }}
+{{Optimal ET sequence|legend=0| 87, 94, 181 }}
 Badness: 0.022749
@@ Line 502: / Line 504: @@
 Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2534
-Optimal ET sequence: {{Optimal ET sequence| 87, 94, 181 }}
+{{Optimal ET sequence|legend=0| 87, 94, 181 }}
 Badness: 0.019585
@@ Line 515: / Line 517: @@
 Optimal tuning (CTE): ~2 = 1\1, ~18/11 = 855.2576
-Optimal ET sequence: {{Optimal ET sequence| 87, 94, 181 }}
+{{Optimal ET sequence|legend=0| 87, 94, 181 }}
 Badness: 0.016332
@@ Line 541: / Line 543: @@
 Optimal tuning (POTE): ~99/70 = 1\2, ~64/63 = 25.693
-Optimal ET sequence: {{Optimal ET sequence| 46, 94, 140 }}
+{{Optimal ET sequence|legend=0| 46, 94, 140 }}
 Badness: 0.039555
@@ Line 554: / Line 556: @@
 Optimal tuning (POTE): ~99/70 = 1\2, ~66/65 = 25.697
-Optimal ET sequence: {{Optimal ET sequence| 46, 94, 140 }}
+{{Optimal ET sequence|legend=0| 46, 94, 140 }}
 Badness: 0.024824
@@ Line 567: / Line 569: @@
 Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.701
-Optimal ET sequence: {{Optimal ET sequence| 46, 94, 140 }}
+{{Optimal ET sequence|legend=0| 46, 94, 140 }}
 Badness: 0.016591
@@ Line 580: / Line 582: @@
 Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.660
-Optimal ET sequence: {{Optimal ET sequence| 46, 94, 140h, 234eh }}
+{{Optimal ET sequence|legend=0| 46, 94, 140h, 234eh }}
 Badness: 0.018170
@@ Line 593: / Line 595: @@
 Optimal tuning (POTE): ~17/12 = 1\2, ~66/65 = 25.661
-Optimal ET sequence: {{Optimal ET sequence| 46, 94, 140h, 234ehi }}
+{{Optimal ET sequence|legend=0| 46, 94, 140h, 234ehi }}
 Badness: 0.014033