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Miscellaneous 5-limit temperaments: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Technical data page}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
Below are listed some [[5-limit]] [[regular temperament|temperament]]s that do not belong to some other temperament collection, the majority of which are [[restriction]]s to the 5-limit of temperaments that emerge more fully in higher [[prime limit|limits]] or [[subgroup]]s; they are sorted by [[TE logflat badness]], of which most have Sintel's > 4.7 (Smith's > 0.20). Most of these temperaments have low accuracy, high-complexity generators, or large number of generators for simple consonances. This is not an exhaustive list. Only expect to find a temperament here if you have not found it in:  
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-05-17 15:34:41 UTC</tt>.<br>
* Individual [[temperament families and clans]]
: The original revision id was <tt>336767284</tt>.<br>
* Individual [[equivalence continuum|equivalence continua]]
: The revision comment was: <tt></tt><br>
* [[Very low accuracy temperaments]]
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
* [[Very high accuracy temperaments]]
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc]]


=Hogzilla=
== Ennealimmal ==  
Comma: 4428675/4194304
: ''For extensions, see [[Septiennealimmal clan #Ennealimmal]].''


POTE generator: ~1215/1024 = 252.649
The 5-limit version of ennealimmal tempers out the [[ennealimma]], the amount by which a stack of nine [[27/25]]'s falls short of the octave. Since the [[7-limit]] temperament (definable by tempering out both [[2401/2400]] and [[4375/4374]], the two smallest superparticular ratios in the 7-limit) is far more natural to think of than the 5-limit, the 5-limit temperament is only provided below for bookkeeping purposes.


Map: [&lt;1 0 11|, &lt;0 2 -11|]
[[Subgroup]]: 2.3.5
EDOs: 14, 19
Badness: 0.4247


=Archaeotherium=
[[Comma list]]: {{monzo| 1 -27 18 }}
Comma: 597871125/536870912


POTE generator: ~1215/1024 = 230.351
{{Mapping|legend=1| 9 1 1 | 0 2 3 }}
: mapping generators: ~27/25, ~5/3


Map: [&lt;1 1 5|, &lt;0 3 -14|]
[[Optimal tuning]]s:  
EDOs: 21, 26, 73bc, 99bc
* [[WE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3190{{c}}
Badness: 1.4349
: [[error map]]: {{val| -0.000 +0.016 -0.023 }}
* [[CWE]]: ~27/25 = 133.3333{{c}}, ~5/3 = 884.3191{{c}}
: error map: {{val| 0.000 +0.017 -0.023 }}


=Stump=
{{Optimal ET sequence|legend=1| 27, 45, 72, 99, 171, 441, 612, 1665, 2277, 2889, 3501, 6390, 16281, 22671, 29061c }}
Comma: 273375/262144


POTE generator: ~64/45 = 631.737
[[Badness]] (Sintel): 0.403


Map: [&lt;1 0 6|, &lt;0 3 -7|]
== Unidecmic ==
EDOs: 17, 19
: ''For extensions, see [[Gamelismic clan #Unidec]].''
Badness: 0.2006
==[[Sensamagic clan#Pycnic|Pycnic]]==
==[[Marvel temperaments#Triton|Triton]]==


=Unsmate=
[[Subgroup]]: 2.3.5
Comma: 17578125/16777216


POTE generator: ~2048/1875 = 189.049
[[Comma list]]: 31381059609/31250000000


Map: [&lt;1 3 2|, &lt;0 -9 2|]
{{Mapping|legend=1| 2 -1 -3 | 0 6 11 }}
EDOs: 13, 19, 89c, 108c, 127c, 146c
: mapping generators: ~177147/125000, ~25000/19683
Badness: 0.4602


=Chromo=
[[Optimal tuning]]s:
Comma: 1220703125/1146617856
* [[WE]]: ~177147/125000 = 600.0124{{c}}, ~25000/19683 = 416.9619{{c}}
: [[error map]]: {{val| +0.025 -0.196 +0.235 }}
* [[CWE]]: ~177147/125000 = 600.0000{{c}}, ~25000/19683 = 416.9561{{c}}
: error map: {{val| 0.000 -0.236 +0.172 }}


POTE generator: ~25/24 = 53.922
{{Optimal ET sequence|legend=1| 26, 46, 72, 118, 2524, 2642, 2760 }}


Map: [&lt;1 1 2|, &lt;0 13 7|]
[[Badness]] (Sintel): 1.93
EDOs: 22, 45, 67c, 89c
Badness: 0.8428


=Wizard=
== Quasithird ==
Comma: 2197265625/2147483648
: ''For extensions, see [[Ragismic microtemperaments #Quasithird]].''


POTE generator: ~5/4 = 383.212
[[Subgroup]]: 2.3.5


Map: [&lt;2 1 5|, &lt;0 6 -1|]
[[Comma list]]: {{monzo| 55 -64 20 }}
EDOs: 22, 50, 72, 166, 238c, 310c, 548bc
Badness: 0.3864
[[Marvel temperaments#Wizard|Wizard]]


=Undeka=
{{Mapping|legend=1| 4 0 -11 | 0 5 16 }}
Comma: 48828125/45349632
: mapping generators: ~51200000/43046721, ~1594323/1280000


POTE generator: ~3/2 = 703.829
[[Optimal tuning]]s:  
* [[WE]]: ~51200000/43046721 = 299.9990{{c}}, ~1594323/1280000 = 380.3934{{c}}
: [[error map]]: {{val| -0.004 +0.012 -0.008 }}
* [[CWE]]: ~51200000/43046721 = 300.0000{{c}}, ~1594323/1280000 = 380.3944{{c}}
: error map: {{val| 0.000 +0.017 -0.004 }}


Map: [&lt;11 0 8|, &lt;0 1 1|]
{{Optimal ET sequence|legend=1| 60, 104c, 164, 224, 388, 612, 1612, 2224, 2836, 6284, 9120, 15404 }}
EDOs: 22, 77c, 99c, 121c
Badness: 0.7275


==7-limit==
[[Badness]] (Sintel): 2.33
Commas: 875/864, 3200/3087


POTE generator: ~3/2 = 708.792
== Supersharp ==
: ''For extensions, see [[Trienstonic clan #Octokaidecal]].''


Map: [&lt;11 0 8 31|, &lt;0 1 1 0|]
Supersharp tempers out [[800/729]], the difference between the [[27/20]] wolf fourth and the [[40/27]] wolf fifth, splitting the octave into two 27/20~40/27 semioctaves. It generally requires a very sharp fifth, even sharper than 3\5, as a generator. This means that five steps from the [[generator sequence #JI scales obtained from guided generator sequences|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit extension adds 28/27 and 50/49 to the comma list, taking advantage of the existing semioctave.  
Wedgie: &lt;&lt;11 11 0 -8 -31 -31||
EDOs: 22
Badness: 0.1418


==11-limit==
[[Subgroup]]: 2.3.5
Commas: 100/99, 352/343, 385/384


POTE generator: ~3/2 = 706.768
[[Comma list]]: 800/729


Map: [&lt;11 0 8 31 38|, &lt;0 1 1 0 0|]
{{Mapping|legend=1| 2 0 -5 | 0 1 3 }}
EDOs: 22
: mapping generators: ~27/20, ~3
Badness: 0.0687


==13-limit==
[[Optimal tuning]]s:
Commas: 65/63, 100/99, 169/165, 352/343
* [[WE]]: ~27/20 = 596.986{{c}}, ~3/2 = 725.434{{c}} (~10/9 = 128.448{{c}})
: [[error map]]: {{val| -6.029 +17.450 -13.027 }}
* [[CWE]]: ~27/20 = 600.000{{c}}, ~3/2 = 726.548{{c}} (~10/9 = 126.548{{c}})
: error map: {{val| 0.000 +24.593 -6.670 }}


POTE generator: ~3/2 = 707.764
{{Optimal ET sequence|legend=1| 8, 10, 18, 28b }}


Map: [&lt;11 0 8 31 38 23|, &lt;0 1 1 0 0 1|]
[[Badness]] (Sintel): 2.88
EDOs: 22
Badness: 0.0565


=Triskaidekic=
== Aluminium ==
Comma: 1220703125/1073741824
: ''For extensions, see [[Ragismic microtemperaments #Aluminium]].''


POTE generator: ~3/2 = 696.142
Aluminium tempers out {{monzo| 92 -39 -13 }} in the 5-limit, and sets [[135/128]] to 1/13 of an [[octave]].  


Map: [&lt;13 0 30|, &lt;0 1 0|]
[[Subgroup]]: 2.3.5
EDOs: 13, 26, 91c
Badness: 2.2416


==7-limit==
[[Comma list]]: {{monzo| 92 -39 -13 }}
Commas: 1728/1715, 1875/1792


POTE generator: ~3/2 = 694.143
{{Mapping|legend=1| 13 0 92 | 0 1 -3 }}
: mapping generators: ~135/128, ~3


Map: [&lt;13 0 30 16|, &lt;0 1 0 1|]
[[Optimal tuning]]s:  
Wedgie: &lt;&lt;13 0 13 -30 -16 30||
* [[WE]]: ~135/128 = 92.3068{{c}}, ~3/2 = 701.9791{{c}}
EDOs: 26
: [[error map]]: {{val| -0.012 +0.012 +0.009 }}
Badness: 0.2190
* [[CWE]]: ~135/128 = 92.3077{{c}}, ~3/2 = 701.9897{{c}}
: error map: {{val| 0.000 +0.032 +0.033 }}


==11-limit==
{{Optimal ET sequence|legend=1| 65, 299, 364, 429, 494, 559, 1053, 1612, 5889, 7501, 9113, 10725, 23062bc, 33787bcc, 44512bbcc }}
Commas: 99/98, 125/121, 385/384


POTE generator: ~3/2 = 696.296
[[Badness]] (Sintel): 2.89


Map: [&lt;13 0 30 16 45|, &lt;0 1 0 1 0|]
== Avila ==
EDOs: 26, 91cd
: ''For extensions, see [[Septisemi temperaments #Avila]].''
Badness: 0.0988


==13-limit==
[[Subgroup]]: 2.3.5
Commas: 78/77, 99/98, 125/121, 1200/1183


POTE generator: ~3/2 = 695.879
[[Comma list]]: 729/640


Map: [&lt;13 0 30 16 45 48|, &lt;0 1 0 1 0 0|]
{{Mapping|legend=1| 1 0 -7 | 0 1 6 }}
EDOs: 26, 91cdf
: mapping generators: ~2, ~3
Badness: 0.0592


=Phillips=
[[Optimal tuning]]s:
Comma: 9685512225/8589934592
* [[WE]]: ~2 = 1210.600{{c}}, ~3/2 = 667.437{{c}}
: [[error map]]: {{val| +10.600 -23.917 +7.711 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 663.474{{c}}
: error map: {{val| 0.000 -38.481 -5.472 }}


POTE generator: ~3/2 = 691.455
{{Optimal ET sequence|legend=1| 2c, 7c, 9, 20b, 29b }}


Map: [&lt;2 0 33|, &lt;0 1 -9|]
[[Badness]] (Sintel): 4.27
EDOs: 14, 26, 66b, 92bc, 118bc
Badness: 2.2289


=Oncle=
== Lafa ==
Comma: 145282683375/137438953472
This temperament was named by [[Petr Pařízek]] in 2011, referring to the characteristic that stacking 12 generators makes 6/1 – "l" for 12, "f" for 6<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. Its ploidacot is therefore beta-dodecacot.


POTE generator: ~4096/3645 = 232.521
[[Subgroup]]: 2.3.5


Map: [&lt;1 1 6|, &lt;0 3 -19|]
[[Comma list]]: {{monzo| 77 -31 -12 }}
EDOs: 31, 98c, 129c, 160bc, 289bc
Badness: 1.2447


=Quasimoha=
{{Mapping|legend=1| 1 -1 9 | 0 12 -31 }}
Comma: 2353579470675/2199023255552
: mapping generators: ~2, ~{{monzo| -32 13 5 }}


POTE generator: ~1048576/885735 = 348.600
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1199.9693{{c}}, ~{{monzo| -32 13 5 }} = 258.4963{{c}}
: [[error map]]: {{val| -0.031 +0.031 +0.026 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~{{monzo| -32 13 5 }} = 258.5031{{c}}
: error map: {{val| 0.000 +0.082 +0.091 }}


Map: [&lt;1 1 9|, &lt;0 2 -23|]
{{Optimal ET sequence|legend=1| 65, 246, 311, 376, 441, 2711, 3152, 3593, 4034, 4475, 4916, 5357, 10273bc, 15630bbcc }}
EDOs: 31, 117c, 148bc, 179bc
Badness: 1.9867


=Genocchi=
[[Badness]] (Sintel): 4.33
Comma: 2359296/1953125


POTE generator: ~768/625 = 212.444
== Lafayette ==
: ''For extensions, see [[Mint temperaments #Progression]].''


Map: [&lt;1 0 2|, &lt;0 9 2|]
[[Subgroup]]: 2.3.5
EDOs: 17c
Badness: 1.4050


=Misneb=
[[Comma list]]: 3456/3125
Commas: 145964630126953125/144115188075855872


POTE generator: ~16/15 = 113.240
{{Mapping|legend=1| 1 1 2 | 0 5 3 }}


Map: [&lt;1 3 1|, &lt;0 -15 14|]
[[Optimal tuning]]s:  
EDOs: 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bc
* [[CTE]]: ~2 = 1200.000{{c}}, ~25/24 = 138.722{{c}}
Badness: 0.6095
* [[POTE]]: ~2 = 1200.000{{c}}, ~25/24 = 140.995{{c}}


==7-limit==
{{Optimal ET sequence|legend=1| 8, 9, 17c }}
Commas: 225/224, 4194304/4117715


POTE generator: ~16/15 = 113.235
[[Badness]] (Sintel): 4.70


Map: [&lt;1 3 1 3|, &lt;0 -15 14 -2|]
== Neon ==
Wedgie: &lt;&lt;15 -14 2 -57 -39 44||
: ''For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''
EDOs: 21, 32, 53
{{See also| Neon comma }}
Badness: 0.1410


==11-limit==
Neon tempers out {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.
Commas: 99/98, 176/175, 1310720/1294139


POTE generator: ~16/15 = 113.323
[[Subgroup]]: 2.3.5


Map: [&lt;1 3 1 3 1|, &lt;0 -15 14 -2 26|]
[[Comma list]]: {{monzo| 21 60 -50 }}
EDOS: 21, 53, 127, 180de
Badness: 0.0854


==13-limit==
{{Mapping|legend=1| 10 4 9 | 0 5 6 }}
Commas: 99/98, 176/175, 640/637 847/845
: mapping generators: ~3125/2916, {{monzo| 10 29 -24 }}


POTE generator: ~16/15 = 113.323
[[Optimal tuning]]s:
* [[WE]]: ~3125/2916 = 119.9999{{c}}, {{monzo| 10 29 -24 }} = 284.3890{{c}}
: [[error map]]: {{val| -0.001 -0.011 +0.019 }}
* [[CWE]]: ~3125/2916 = 120.0000{{c}}, {{monzo| 10 29 -24 }} = 284.3891{{c}}
: error map: {{val| 0.000 -0.010 +0.021 }}


Map: [&lt;1 3 1 3 1 2|, &lt;0 -15 14 -2 26 18|]
{{Optimal ET sequence|legend=1| 80, 190, 270, 460, 730, 1730, 2460, 3190, 5650 }}
EDOs: 21, 53, 127, 189de
Badness: 0.0456


==Musneb==
[[Badness]] (Sintel): 4.85
Commas: 225/224, 385/384, 66550/64827


POTE generator: ~16/15 = 113.142
== Dodifo ==
: ''For extensions, see [[Porwell temperaments #Dodifo]].''


Map: [&lt;1 3 1 3 6|, &lt;0 -15 14 -2 -27|]
[[Subgroup]]: 2.3.5
EDOS: 32, 53, 191de, 244cde, 297cde
Badness: 0.0873


=Aufo=
[[Comma list]]: {{monzo| -67 -9 35 }}
Comma: 2270041927734375/2251799813685248


POTE generator: ~45/32 = 588.722
{{Mapping|legend=1| 1 12 5 | 0 -35 -9 }}


Map: [&lt;1 6 -7|, &lt;0 -9 19|]
[[Optimal tuning]]s:  
EDOs: 51, 53, 267, 320, 373, 426, 479, 532, 2607bc
* [[CTE]]: ~2 = 1200.000{{c}}, ~768/625 = 357.087{{c}}
Badness: 0.3071
* [[POTE]]: ~2 = 1200.000{{c}}, ~768/625 = 357.088{{c}}


=Untriton=
{{Optimal ET sequence|legend=1| 37, 84, 205, 289, 494, 783, 2060, 2843, 3626 }}
Commas: 225/224, 125000000/121060821


POTE generator: ~7/5 = 588.641
[[Badness]] (Sintel): 5.00


Map: [&lt;1 6 -7 -7|, &lt;0 -9 19 20|]
== Doublewide ==
Wedgie: &lt;&lt;9 -19 -20 -51 -57 7||
: ''For extensions, see [[Jubilismic clan #Doublewide]].''
EDOs: 51, 53, 316cd, 369cd, 422cd
Badness: 0.1440


==11-limit==
[[Subgroup]]: 2.3.5
Commas: 121/120, 225/224, 22000/21609


POTE generator: ~7/5 = 588.626
[[Comma list]]: 390625/373248


Map: [&lt;1 6 -7 -7 1|, &lt;0 -9 19 20 5|]
{{Mapping|legend=1| 2 1 3 | 0 4 3 }}
EDOs: 51, 53
: mapping generators: ~625/432, ~6/5
Badness: 0.0743


==13-limit==
[[Optimal tuning]]s:
Commas: 121/120, 225/224, 275/273, 1040/1029
* [[WE]]: ~625/432 = 600.6814{{c}}, ~6/5 = 325.8892{{c}} (~144/125 = 274.7921{{c}})
: [[error map]]: {{val| +1.363 +2.283 -6.602 }}
* [[CWE]]: ~625/432 = 600.0000{{c}}, ~6/5 = 325.8147{{c}} (~144/125 = 274.185{{c}})
: error map: {{val| 0.000 +1.304 -8.869 }}


POTE generator: ~7/5 = 588.654
{{Optimal ET sequence|legend=1| 4, 14b, 18, 22, 48, 70c, 118c }}


Map: [&lt;1 6 -7 -7 1 -12|, &lt;0 -9 19 20 5 32|]
[[Badness]] (Sintel): 5.32
EDOs: 53
Badness: 0.0474


=Vinegar=
== Shibboleth ==
Comma: 16000000/14348907
: ''For extensions, see [[Gamelismic clan #Superkleismic]], [[Starling temperaments #Gilead]], and [[Sensamagic clan #Superthird]].''


POTE generator: ~10/9 = 156.861
[[Subgroup]]: 2.3.5


Map: [&lt;3 0 -5|, &lt;0 2 5|]
[[Comma list]]: 1953125/1889568
EDOs: 15, 39c, 54, 69b, 84b
Badness: 0.9030


=Wronecki=
{{Mapping|legend=1| 1 4 5 | 0 -9 -10 }}
Comma: 531441/500000


POTE generator: ~3/2 = 695.040
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~6/5 = 321.773{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~6/5 = 321.852{{c}}


Map: [&lt;6 0 -5|, &lt;0 1 2|]
{{Optimal ET sequence|legend=1| 15, 26, 41, 179c }}
EDOs: 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bc
Badness: 0.3418


</pre></div>
[[Badness]] (Sintel): 5.34
<h4>Original HTML content:</h4>
 
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;High badness temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:62:&amp;lt;img id=&amp;quot;wikitext@@toc@@normal&amp;quot; class=&amp;quot;WikiMedia WikiMediaToc&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/normal?w=225&amp;amp;h=100&amp;quot;/&amp;gt; --&gt;&lt;div id="toc"&gt;&lt;h1 class="nopad"&gt;Table of Contents&lt;/h1&gt
== Semidimfourth ==
: ''For extensions, see [[Ragismic microtemperaments #Semidimfourth]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| 7 41 -31 }}
 
{{Mapping|legend=1| 1 21 28 | 0 -31 -41 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~162/125 = 448.449{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~162/125 = 448.449{{c}}
 
{{Optimal ET sequence|legend=1| 8, …, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc }}
 
[[Badness]] (Sintel): 5.47
 
== Mynic ==
: ''For extensions, see [[Starling temperaments #Myna]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: 10077696/9765625
 
{{Mapping|legend=1| 1 9 9 | 0 -10 -9 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~6/5 = 310.030{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~6/5 = 310.140{{c}}
 
{{Optimal ET sequence|legend=1| 27, 31, 58, 89 }}
 
[[Badness]] (Sintel): 5.86
 
== Progress ==
: ''For extensions, see [[Archytas clan #Progress]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: 32768/30375
 
{{Mapping|legend=1| 1 0 5 | 0 3 -5 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~45/32 = 638.922{{c}}
* [[POTE]]: ~2 = 1200.000{{c}}, ~45/32 = 638.736{{c}}
 
{{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 47bc, 62bc }}
 
[[Badness]] (Sintel): 5.77
 
== Abigail ==
: ''For extensions, see [[Ragismic microtemperaments #Abigail]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| 25 -48 22 }}
 
{{Mapping|legend=1| 2 7 13 | 0 -11 -24 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~{{monzo| -12 24 -11 }} = 600.000{{c}}, ~200000/177147 = 208.907{{c}}
* [[CWE]]: ~{{monzo| -12 24 -11 }} = 600.000{{c}}, ~200000/177147 = 208.906{{c}}
 
{{Optimal ET sequence|legend=1| 46, 132, 178, 224, 270, 494, 1752, 2246, 2740, 4986, 7726b }}
 
[[Badness]] (Sintel): 5.97
 
== Supermajor ==
: ''For extensions, see [[Ragismic microtemperaments #Supermajor]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| -13 -46 37 }}
 
{{Mapping|legend=1| 1 15 19 | 0 -37 -46 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~625/486 = 435.081{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~625/486 = 435.081{{c}}
 
{{Optimal ET sequence|legend=1| 80, 171, 593, 764, 935, 1106, 3489, 4595, 5701 }}
 
[[Badness]] (Sintel): 6.19
 
== Gamera ==
: ''For extensions, see [[Ragismic microtemperaments #Gamera]].''
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: {{monzo| 10 -40 23 }}
 
{{Mapping|legend=1| 1 6 10 | 0 -23 -40 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1200.000{{c}}, ~2500/2187 = 230.345{{c}}
* [[CWE]]: ~2 = 1200.000{{c}}, ~2500/2187 = 230.345{{c}}
 
{{Optimal ET sequence|legend=1| 26, 73, 99, 224, 323, 547, 870 }}
 
[[Badness]] (
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