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Very low accuracy temperaments: Difference between revisions

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Delete antonym, antony, and geryon, from the precedent of deletion of {7/6}. Perhaps {9/8} should be the threshold for tempering out superparticulars
 
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{{Todo|intro|cleanup|comment=what are the criteria for inclusion here?|inline=1}}
{{Technical data page}}
Below are listed some '''very low accuracy temperaments'''. Temperaments with exceedingly low accuracy such as these tend to [[tempering out|temper out]] very large intervals such as [[9/8]], [[10/9]], [[32/27]], or [[15/14]], equating wildly different interval sizes with [[semitone (interval size measure)|semitone]]-level or even greater [[error]]s, and often swapping the sizes of simple ratios compared to just intonation. As a result, all of them are right on or even beyond the edge of what can be sensibly called a temperament at all; that is to say, they are [[exotemperament]]s.


Below are listed some very low accuracy temperaments.
== Antitonic ==
This temperament is characterized by [[9/8]] being tempered out and has been termed a "troll temperament" by its namers. Its [[ploidacot]] is diploid acot. It is named on account of 4/3 and 3/2 both being represented by the 600-cent half octave, which, in terms of diatonic function, serves as an antitonic. The 7-limit extension tempers out 15/14 and 21/20, equating 5/4 with 7/6 and 6/5 with 8/7. The 11-limit extension tempers out 12/11 and 33/32. The original 5-limit is basically the 3-limit music of [[2edo]] with the addition of harmonic 5 represented by an independent generator.  


== Enipucrop ==
[[Subgroup]]: 2.3.5
The 5-limit 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.


Comma: 1125/1024
[[Comma list]]: [[9/8]]


POTE generator: ~16/15 = 173.101
{{Mapping|legend=1| 2 3 0 | 0 0 1 }}


Map: [<1 2 2|, <0 -3 2|]
: mapping generators: ~3/2, ~5


EDOs: {{EDOs| 6b, 7 }}
[[Optimal tuning]]s:  
* [[WE]]: ~3/2 = 615.125{{c}}, ~5/4 = 321.597{{c}} (~6/5 = 293.528{{c}})
: [[error map]]: {{val| +30.250 -56.581 -4.217 }}
* [[CWE]]: ~3/2 = 600.000{{c}}, ~5/4 = 336.527{{c}} (~6/5 = 263.473{{c}})
: error map: {{val| 0.000 -101.955 -49.787 }}


Badness: 0.1439
{{Optimal ET sequence|legend=1| 2, 4 }}


[http://x31eq.com/cgi-bin/rt.cgi?ets=6b_7&limit=5 The temperament finder - 5-limit Enipucrop]
[[Badness]] (Sintel): 0.508


== Brutus ==
; Music
Commas: 10/9, 28/25
* [[:File:Antitonic(8).mp3|''Antitonic(8)'']] (2024) – short composition by [[Wensik]] in POTE-tuned 5-limit antitonic using an 8-note ternary scale.


POTE generator: ~3/2 = 848.221
=== Septimal antitonic ===
Subgroup: 2.3.5.7


Map: [<1 0 -1 -4|, <0 1 2 4|]
Comma list: 9/8, 15/14


Wedgie: <<1 2 4 1 4 4||
{{Mapping|legend=0| 2 3 0 1 | 0 0 1 1 }}


EDOs: 3, 10bc
Optimal tunings:  
* WE: ~3/2 = 614.759{{c}}, ~7/6 = 309.426{{c}} (~6/5 = 305.334{{c}})
* CWE: ~3/2 = 600.000{{c}}, ~7/6 = 326.047{{c}} (~6/5 = 273.953{{c}})


Badness: 0.0534
{{Optimal ET sequence|legend=0| 2, 4 }}


== Geryon ==
Badness (Sintel): 0.490
Commas: 8/7, 25/21


POTE generator: ~5/4 = 385.440
==== 11-limit ====
Subgroup: 2.3.5.7.11


Map: [<1 1 2 3|, <0 2 1 0|]
Comma list: 9/8, 12/11, 15/14


Wedgie: <<2 1 0 -3 -6 -3||
{{Mapping|legend=0| 2 3 0 1 7 | 0 0 1 1 0 }}


EDOs: <19 31 44 57|, <22 36 51 66|
Optimal tunings:  
* WE: ~3/2 = 606.293{{c}}, ~5/4 = 343.862{{c}} (~8/7 = 262.431{{c}})
* CWE: ~3/2 = 600.000{{c}}, ~5/4 = 348.102{{c}} (~8/7 = 251.898{{c}})


Badness: 0.0510
{{Optimal ET sequence|legend=0| 2, 4 }}


== Antaeus ==
Badness (Sintel): 0.721
Commas: 9/8, 35/32


POTE generator: ~5/4 = 315.962
==== Antietam ====
Subgroup: 2.3.5.7.11


Map: [<2 3 0 10|, <0 0 1 -1|]
Comma list: 9/8, 11/10, 15/14


Wedgie: <<0 2 -2 3 -3 -10||
{{Mapping|legend=0| 2 3 0 1 2 | 0 0 1 1 1 }}


EDOs: 4, 10bd, 12bcd
Optimal tunings:  
* WE: ~3/2 = 616.135{{c}}, ~5/4 = 330.741{{c}} (~6/5 = 285.393{{c}})
* CWE: ~3/2 = 600.000{{c}}, ~5/4 = 349.843{{c}} (~8/7 = 250.157{{c}})


Badness: 0.0375
{{Optimal ET sequence|legend=0| 2, 4e }}


== Phlegyas ==
Badness (Sintel): 0.628
Commas: 10/9, 35/32


POTE generator: ~3/2 = 743.135
=== Antaeus ===
Subgroup: 2.3.5.7


Map: [<1 0 -1 6|, <0 1 2 -2|]
Comma list: 9/8, 35/32


Wedgie: <<1 2 -2 1 -6 -10||
{{Mapping|legend=0| 2 3 0 10 | 0 0 1 -1 }}


EDOs: 3, 10c, 11bcd, 13c
Optimal tunings:  
* WE: ~3/2 = 614.854{{c}}, ~5/4 = 323.784{{c}} (~6/5 = 291.070{{c}})
* CWE: ~3/2 = 600.000{{c}}, ~5/4 = 317.349{{c}} (~6/5 = 282.651{{c}})


Badness: 0.0513
{{Optimal ET sequence|legend=0| 2d, 4 }}
 
Badness (Sintel): 0.950
 
==== 11-limit ====
Subgroup: 2.3.5.7.11
 
Comma list: 9/8, 12/11, 35/32
 
{{Mapping|legend=0| 2 3 0 10 7 | 0 0 1 -1 0 }}
 
Optimal tunings:
* WE: ~3/2 = 609.311{{c}}, ~5/4 = 323.110{{c}} (~6/5 = 286.200{{c}})
* CWE: ~3/2 = 600.000{{c}}, ~5/4 = 318.904{{c}} (~6/5 = 281.096{{c}})
 
{{Optimal ET sequence|legend=0| 2d, 4 }}
 
Badness (Sintel): 1.12
 
== Alteraugment ==
Alteraugment tempers out the [[32/27|Pythagorean minor third (32/27)]]. It is like [[augmented (temperament)|augmented]], but the period represents 4/3 instead of 5/4, and the generator in turn provides 5/4 instead of 3/2. Its ploidacot is triploid acot. [[User:VectorGraphics|Vector Graphics]] suggests the name ''kinsborough'' for this temperament.
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: [[32/27]]
 
{{Mapping|legend=1| 3 5 0 | 0 0 1 }}
: mapping generators: ~4/3, ~5
 
[[Optimal tuning]]s:
* [[WE]]: ~4/3 = 389.212{{c}}, ~5/4 = 447.530{{c}} (~10/9 = 58.318{{c}})
: [[error map]]: {{val| -32.364 +44.105 -3.512 }}
* [[CWE]]: ~4/3 = 400.000{{c}}, ~5/4 = 434.191{{c}} (~15/16 = 34.191{{c}})
: error map: {{val| 0.000 +98.045 +47.878 }}
 
{{Optimal ET sequence|legend=1| 3, 12bcc, 15bbcc }}
 
[[Badness]] (Sintel): 1.83
 
== Antonian ==
{{Main| Antonian }}
 
This temperament family is characterized by the [[color notation|yo 2nd]] ([[10/9]]) being tempered out. It identifies [[3/2]] with [[5/3]], [[4/3]] with [[6/5]], and [[5/4]] with [[9/8]].
 
[[Subgroup]]: 2.3.5
 
[[Comma list]]: [[10/9]]
 
{{Mapping|legend=1| 1 0 -1 | 0 1 2 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1187.236{{c}}, ~3/2 = 767.716{{c}}
: [[error map]]: {{val| -12.764 +52.997 -63.645 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 767.718{{c}}
: error map: {{val| 0.000 +65.763 -50.877 }}
 
{{Optimal ET sequence|legend=1| 2c, 3 }}
 
[[Badness]] (Sintel): 0.392
 
=== Septimal antonian ===
{{See also| Trienstonic clan }}
 
Subgroup: 2.3.5.7
 
Comma list: 10/9, 15/14
 
{{Mapping|legend=0| 1 0 -1 -2 | 0 1 2 3 }}
 
Optimal tunings:
* WE: ~2 = 1193.691{{c}}, ~3/2 = 742.509{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 743.086{{c}}
 
{{Optimal ET sequence|legend=0| 2cd, 3d, 5c }}
 
Badness (Sintel): 0.606
 
=== Brutus ===
Subgroup: 2.3.5.7
 
Comma list: 10/9, 28/25
 
{{Mapping|legend=0| 1 0 -1 -4 | 0 1 2 4 }}
 
Optimal tunings:
* WE: ~2 = 1158.982{{c}}, ~3/2 = 819.228{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 831.346{{c}}
 
{{Optimal ET sequence|legend=0| 3, 7bc }}
 
Badness (Sintel): 1.35
 
=== Phlegyas ===
{{See also| Archytas clan }}
 
Subgroup: 2.3.5.7
 
Comma list: 10/9, 35/32
 
{{Mapping|legend=0| 1 0 -1 6 | 0 1 2 -2 }}
 
Optimal tunings:
* WE: ~2 = 1206.510{{c}}, ~3/2 = 747.166{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 743.797{{c}}
 
{{Optimal ET sequence|legend=0| 3, 5c, 8c }}
 
Badness (Sintel): 1.30
 
=== Charon ===
{{See also| Jubilismic clan }}
 
Subgroup: 2.3.5.7
 
Comma list: 10/9, 49/45
 
{{Mapping|legend=0| 2 0 -2 -1 | 0 1 2 2 }}
: mapping generators: ~7/5, ~3
 
Optimal tunings:
* WE: ~7/5 = 593.832{{c}}, ~3/2 = 774.559{{c}} (~15/14 = 180.726{{c}})
* CWE: ~7/5 = 600.000{{c}}, ~3/2 = 774.466{{c}} (~15/14 = 174.466{{c}})
 
{{Optimal ET sequence|legend=0| 4bcd, 6 }}
 
Badness (Sintel): 1.43
 
=== Nessus ===
{{See also| Semaphoresmic clan }}
 
Subgroup: 2.3.5.7
 
Comma list: 10/9, 49/48
 
{{Mapping|legend=0| 1 0 -1 2 | 0 2 4 1 }}
: mapping generators: ~2, ~7/4
 
Optimal tunings:
* WE: ~2 = 1189.201{{c}}, ~7/4 = 978.002{{c}}
* CWE: ~2 = 1200.000{{c}}, ~7/4 = 983.918{{c}}
 
{{Optimal ET sequence|legend=0| 5c, 6 }}
 
Badness (Sintel): 1.49
 
== Ternary ==
Ternary is identical to [[3edo|3et]] in the 5-limit, but has an independent generator for prime 7.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 10/9, 16/15
 
{{Mapping|legend=1| 3 5 7 0 | 0 0 0 1 }}
 
: mapping generators: ~5/4, ~7
 
[[Optimal tuning]]s:
* [[WE]]: ~5/4 = 391.796{{c}}, ~7/4 = 1012.806{{c}} (~15/14 = 162.582{{c}})
: [[error map]]: {{val| -24.612 +57.026 -43.741 -5.243 }}
* [[CWE]]: ~5/4 = 400.000{{c}}, ~7/4 = 1016.378{{c}} (~8/7 = 183.622{{c}})
: error map: {{val| 0.000 +98.045 +13.686 +47.552 }}
 
{{Optimal ET sequence|legend=1| 3d, 6, 9bd }}
 
[[Badness]] (Sintel): 0.726
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 10/9, 16/15, 22/21
 
{{Mapping|legend=0| 3 5 7 0 2 | 0 0 0 1 1 }}
 
Optimal tunings:
* WE: ~5/4 = 391.788{{c}}, ~7/4 = 1011.942{{c}} (~12/11 = 163.422{{c}})
* CWE: ~5/4 = 400.000{{c}}, ~7/4 = 1013.973{{c}} (~12/11 = 186.027{{c}})
 
{{Optimal ET sequence|legend=0| 3de, 6 }}
 
Badness (Sintel): 0.846
 
== Quad ==
Quad is identical to [[4edo|4et]] in the 5-limit, but has an independent generator for prime 7.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 9/8, 25/24
 
{{Mapping|legend=1| 4 6 9 0 | 0 0 0 1 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~6/5 = 308.074{{c}}, ~7/4 = 963.670{{c}}
: [[error map]]: {{val| +32.295 -53.513 -13.650 -5.150 }}
* [[CWE]]: ~6/5 = 300.000{{c}}, ~7/4 = 897.589{{c}}
: error map: {{val| 0.000 -101.955 -86.314 -71.236 }}
 
{{Optimal ET sequence|legend=1| 4 }}
 
[[Badness]] (Sintel): 1.16
 
== Quint ==
Quint preserves the 5-limit mapping of 5edo, and harmonic 7 is mapped to an independent generator. As harmonic 7 is already quite accurately approximated by 5edo for its size, this temperament provides little improvement, so it is only provided below for bookkeeping purposes. It would make much more sense to, for example, preserve the 2.3.7-subgroup structure of 5edo and give prime 5 an independent generator instead, which is exactly what [[blackwood]] does.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 16/15, 27/25
 
{{Mapping|legend=1| 5 8 12 0 | 0 0 0 1 }}
: Mapping generators: ~6/5, ~7
 
[[Optimal tuning]]s:
* [[WE]]: ~6/5 = 236.416{{c}}, ~7/4 = 1002.701{{c}} (~28/27 = 57.038{{c}})
: [[error map]]: {{val| -17.921 -10.628 +50.676 -1.966 }}
* [[CWE]]: ~6/5 = 240.000{{c}}, ~7/4 = 1005.135{{c}} (~28/27 = 45.135{{c}})
: error map: {{val| 0.000 +18.045 +93.686 +36.309 }}
 
{{Optimal ET sequence|legend=1| 5, 15ccd, 20cccd }}
 
[[Badness]] (Sintel): 1.22


== Malacoda ==
== Malacoda ==
Commas: 15/14, 35/32
{{See also| Semaphoresmic clan }}


POTE generator: ~8/7 = 276.283
[[Subgroup]]: 2.3.5.7


Map: [<1 0 3 2|, <0 2 -1 1|]
[[Comma list]]: 15/14, 35/32


Wedge: <<2 -1 1 -6 -4 5||
{{Mapping|legend=1| 1 0 3 2 | 0 2 -1 1 }}
: mapping generators: ~2, ~7/4


EDOs: 1, 4, 13bc
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1223.542{{c}}, ~7/4 = 941.838{{c}}
: [[error map]]: {{val| +23.542 -18.278 -57.528 +20.096 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~7/4 = 927.096{{c}}
: error map: {{val| 0.000 -47.763 -113.410 -41.730 }}


Badness: 0.0372
{{Optimal ET sequence|legend=1| 1, 3b, 4, 9c, 13bcc }}
 
[[Badness]] (Sintel): 0.942


== Ugolino ==
== Ugolino ==
Commas: 15/14, 27/25
{{See also| Bug family }}
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 15/14, 27/25


POTE generator: ~6/5 = 278.360
{{Mapping|legend=1| 1 0 0 -1 | 0 2 3 5 }}


Map: [<1 0 0 -1|, <0 2 3 5|]
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1206.628{{c}}, ~7/4 = 926.730{{c}}
: [[error map]]: {{val| +6.628 -48.494 -6.122 +58.198 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~7/4 = 923.776{{c}}
: error map: {{val| 0.000 -54.403 -14.986 +50.054 }}


Wedgie: <<2 3 5 0 2 3||
{{Optimal ET sequence|legend=1| 1cdd, 3bcdd, 4, 9d }}


EDOs: 4, 13bd
[[Badness]] (Sintel): 1.11


Badness: 0.0438
== Medusa ==
{{See also| Archytas clan | Mavila family }}


== Charon ==
[[Subgroup]]: 2.3.5.7
Commas: 10/9, 49/45


POTE generator: ~3/2 = 782.604
[[Comma list]]: 15/14, 64/63


Map: [<2 0 -2 -1|, <0 1 2 2|]
{{Mapping|legend=1| 1 0 7 6 | 0 1 -3 -2 }}


Wedgie: <<2 4 4 2 1 -2||
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1200.960{{c}}, ~3/2 = 686.181{{c}}
: [[error map]]: {{val| +0.960 -14.814 -41.014 +62.655 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 685.511{{c}}
: error map: {{val| 0.000 -16.443 -42.849 +60.150 }}


EDOs: 6, 13bd
{{Optimal ET sequence|legend=1| 2, 5c, 7 }}


Badness: 0.0564
[[Badness]] (Sintel): 1.08


== Nessus ==
=== 11-limit ===
Commas: 10/9, 49/48
Subgroup: 2.3.5.7.11


POTE generator: ~8/7 = 213.117
Comma list: 15/14, 22/21, 33/32


Map: [<1 0 -1 2|, <0 2 4 1|]
{{Mapping|legend=0| 1 0 7 6 5 | 0 1 -3 -2 -1 }}


Wedgie: <<2 4 1 2 -4 -9||
Optimal tunings:  
* WE: ~2 = 1202.757{{c}}, ~3/2 = 687.384{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 685.462{{c}}


EDOs: 6, 11bc, 17b
{{Optimal ET sequence|legend=0| 2, 5c, 7 }}


Badness: 0.0591
Badness (Sintel): 0.887


== Medusa ==
== Wallaby ==
Commas: 15/14, 64/63
{{See also| Trienstonic clan | Mavila family }}
 
[[Subgroup]]: 2.3.5.7


POTE generator: ~3/2 = 685.632
[[Comma list]]: 28/27, 35/32


Map: [<1 0 7 6|, <0 1 -3 -2|]
{{Mapping|legend=1| 1 0 7 -2 | 0 1 -3 3 }}


Wedgie: <<1 -3 -2 -7 -6 4||
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1216.024{{c}}, ~3/2 = 700.583{{c}}
: [[error map]]: {{val| +16.024 +14.652 -23.967 -51.053 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 691.757{{c}}
: error map: {{val| 0.000 -10.198 -61.585 -93.555 }}


EDOs: 2, 7, 12c, 14cd
{{Optimal ET sequence|legend=1| 2d, 5c, 7d, 19ccdd }}


Badness: 0.0427
[[Badness]] (Sintel): 1.48


== Plutus ==
== Plutus ==
Commas: 15/14, 81/80
{{Distinguish| Pluto }}
{{See also| Meantone family }}
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 15/14, 81/80
 
{{Mapping|legend=1| 1 0 -4 -5 | 0 1 4 5 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1203.936{{c}}, ~3/2 = 685.135{{c}}
: [[error map]]: {{val| +3.936 -12.884 -45.774 +56.849 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 683.935{{c}}
: error map: {{val| 0.000 -18.020 -50.573 +50.850 }}
 
{{Optimal ET sequence|legend=1| 2cd, 5d, 7 }}
 
[[Badness]] (Sintel): 1.14
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 15/14, 22/21, 81/80
 
{{Mapping|legend=0| 1 0 -4 -5 -6 | 0 1 4 5 6 }}
 
Optimal tunings:
* WE: ~2 = 1203.293{{c}}, ~3/2 = 687.114{{c}}
* CWE: ~2 = 1200.000{{c}}, ~3/2 = 686.078{{c}}
 
{{Optimal ET sequence|legend=0| 2cde, 5de, 7 }}
 
Badness (Sintel): 1.08
 
== Codex ==
{{See also| Bug family }}
Codex was named by [[User:Jerdle|Jerdle]] as an abbreviation of "co-decimal", as it resembles [[decimal]] in many ways, but exchanges the roles of 5's and 7's. While decimal equates [[8/7]] and [[7/6]], as well as [[6/5]] and [[5/4]], this equates [[10/9]] and [[6/5]], as well as [[7/6]] and [[9/7]]. It is an extension of [[bug]] and [[54/49|mujannabic]] in the same way decimal is of [[semaphore]] and [[dicot]]. Its ploidacot is diploid dicot.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: [[27/25]], [[50/49]]
 
{{Mapping|legend=1| 2 0 0 1 | 0 2 3 3 }}
 
[[Optimal tuning]]s:
* [[WE]]: ~7/5 = 598.589{{c}}, ~5/3 = 934.978{{c}}
: [[error map]]: {{val| -2.821 -31.998 +18.621 +34.699 }}
* [[CWE]]: ~7/5 = 600.000{{c}}, ~5/3 = 936.030{{c}}
: error map: {{val| 0.000 -29.895 +21.776 +39.264 }}
 
{{Optimal ET sequence|legend=1| 4, 10cd, 14d }}
 
[[Badness]] (Sintel): 1.95
 
== Oxygen ==
{{See also| Porcupine family }}
Oxygen extends porcupine into the 7-limit by conflating 6/5 with 8/7, and conflating 10/9 with 7/6. While this means it does not represent 7-limit JI with any real accuracy, it is still of interest because its comma basis suggests potential utility to construct [[fokker block|Fokker blocks]].
 
[[Subgroup]]: 2.3.5.7


POTE generator: ~3/2 = 682.895
[[Comma list]]: 21/20, 175/162


Map: [<1 0 -4 -5|, <0 1 4 5|]
{{Mapping|legend=1| 1 2 3 3 | 0 -3 -5 -2 }}


Wedgie: <<1 4 5 4 5 0||
[[Optimal tuning]]s:  
* [[WE]]: ~2 = 1213.695{{c}}, ~10/9 = 171.042{{c}}
: error map: {{val| +13.695 +12.309 -0.438 -69.825 }}
* [[CWE]]: ~2 = 1200.000{{c}}, ~10/9 = 166.042{{c}}
: error map: {{val| 0.000 -0.083 -16.526 -100.911 }}


EDOs: 7, 37bccd, 44bccd
{{Optimal ET sequence|legend=1| 1c, …, 6bcd, 7d }}*


Badness: 0.0453
<nowiki/>* [[optimal patent val]]: [[8edo|8]]


[[Category:Temperament]]
[[Badness]] (Sintel): 1.52
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