Miscellaneous 5-limit temperaments: Difference between revisions
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= Hogzilla = | |||
=Hogzilla= | |||
Comma: 4428675/4194304 | Comma: 4428675/4194304 | ||
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Badness: 0.4247 | Badness: 0.4247 | ||
=Archaeotherium= | = Archaeotherium = | ||
Comma: 597871125/536870912 | Comma: 597871125/536870912 | ||
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Badness: 1.4349 | Badness: 1.4349 | ||
=Stump= | = Stump = | ||
{{see also| Sensamagic clan #Pycnic }} | |||
{{see also| Marvel temperaments #Triton }} | |||
Comma: 273375/262144 | Comma: 273375/262144 | ||
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Badness: 0.2006 | Badness: 0.2006 | ||
= Unsmate = | |||
=Unsmate= | |||
Comma: 17578125/16777216 | Comma: 17578125/16777216 | ||
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Badness: 0.4602 | Badness: 0.4602 | ||
=Chromo= | = Chromo = | ||
Comma: 1220703125/1146617856 | Comma: 1220703125/1146617856 | ||
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Badness: 0.8428 | Badness: 0.8428 | ||
=Wizard= | = Wizard = | ||
{{see also| Marvel temperaments #Wizard }} | |||
Comma: 2197265625/2147483648 | Comma: 2197265625/2147483648 | ||
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Badness: 0.3864 | Badness: 0.3864 | ||
= Undeka = | |||
=Undeka= | |||
Comma: 48828125/45349632 | Comma: 48828125/45349632 | ||
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Badness: 0.7275 | Badness: 0.7275 | ||
==7-limit== | == 7-limit == | ||
Commas: 875/864, 3200/3087 | Commas: 875/864, 3200/3087 | ||
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Badness: 0.1418 | Badness: 0.1418 | ||
==11-limit== | == 11-limit == | ||
Commas: 100/99, 352/343, 385/384 | Commas: 100/99, 352/343, 385/384 | ||
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Badness: 0.0687 | Badness: 0.0687 | ||
==13-limit== | == 13-limit == | ||
Commas: 65/63, 100/99, 169/165, 352/343 | Commas: 65/63, 100/99, 169/165, 352/343 | ||
| Line 118: | Line 117: | ||
Badness: 0.0565 | Badness: 0.0565 | ||
=Triskaidekic= | = Triskaidekic = | ||
Comma: 1220703125/1073741824 | Comma: 1220703125/1073741824 | ||
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Badness: 2.2416 | Badness: 2.2416 | ||
==7-limit== | == 7-limit == | ||
Commas: 1728/1715, 1875/1792 | Commas: 1728/1715, 1875/1792 | ||
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Badness: 0.2190 | Badness: 0.2190 | ||
==11-limit== | == 11-limit == | ||
Commas: 99/98, 125/121, 385/384 | Commas: 99/98, 125/121, 385/384 | ||
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Badness: 0.0988 | Badness: 0.0988 | ||
==13-limit== | == 13-limit == | ||
Commas: 78/77, 99/98, 125/121, 1200/1183 | Commas: 78/77, 99/98, 125/121, 1200/1183 | ||
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Badness: 0.0592 | Badness: 0.0592 | ||
=Phillips= | = Phillips = | ||
Comma: 9685512225/8589934592 | Comma: 9685512225/8589934592 | ||
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Badness: 2.2289 | Badness: 2.2289 | ||
=Oncle= | = Oncle = | ||
Comma: 145282683375/137438953472 | Comma: 145282683375/137438953472 | ||
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Badness: 1.2447 | Badness: 1.2447 | ||
=Quasimoha= | = Quasimoha = | ||
Comma: 2353579470675/2199023255552 | Comma: 2353579470675/2199023255552 | ||
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Badness: 1.9867 | Badness: 1.9867 | ||
=Genocchi= | = Genocchi = | ||
Comma: 2359296/1953125 | Comma: 2359296/1953125 | ||
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Badness: 1.4050 | Badness: 1.4050 | ||
=Misneb= | = Misneb = | ||
Commas: 145964630126953125/144115188075855872 | Commas: 145964630126953125/144115188075855872 | ||
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Badness: 0.6095 | Badness: 0.6095 | ||
==7-limit== | == 7-limit == | ||
Commas: 225/224, 4194304/4117715 | Commas: 225/224, 4194304/4117715 | ||
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Badness: 0.1410 | Badness: 0.1410 | ||
==11-limit== | == 11-limit == | ||
Commas: 99/98, 176/175, 1310720/1294139 | Commas: 99/98, 176/175, 1310720/1294139 | ||
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Badness: 0.0854 | Badness: 0.0854 | ||
==13-limit== | === 13-limit === | ||
Commas: 99/98, 176/175, 640/637 847/845 | Commas: 99/98, 176/175, 640/637 847/845 | ||
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Badness: 0.0456 | Badness: 0.0456 | ||
==Musneb== | == Musneb == | ||
Commas: 225/224, 385/384, 66550/64827 | Commas: 225/224, 385/384, 66550/64827 | ||
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Badness: 0.0873 | Badness: 0.0873 | ||
=Aufo= | = Aufo = | ||
Comma: 2270041927734375/2251799813685248 | Comma: 2270041927734375/2251799813685248 | ||
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Badness: 0.3071 | Badness: 0.3071 | ||
==7-limit== | == 7-limit == | ||
Commas: 6144/6125, 177147/175616 | Commas: 6144/6125, 177147/175616 | ||
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Badness: 0.1214 | Badness: 0.1214 | ||
=Untriton= | = Untriton = | ||
Commas: 225/224, 125000000/121060821 | Commas: 225/224, 125000000/121060821 | ||
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Badness: 0.1440 | Badness: 0.1440 | ||
==11-limit== | == 11-limit == | ||
Commas: 121/120, 225/224, 22000/21609 | Commas: 121/120, 225/224, 22000/21609 | ||
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Badness: 0.0743 | Badness: 0.0743 | ||
==13-limit== | == 13-limit == | ||
Commas: 121/120, 225/224, 275/273, 1040/1029 | Commas: 121/120, 225/224, 275/273, 1040/1029 | ||
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Badness: 0.0474 | Badness: 0.0474 | ||
=Vinegar= | = Vinegar = | ||
Comma: 16000000/14348907 | Comma: 16000000/14348907 | ||
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Badness: 0.9030 | Badness: 0.9030 | ||
=Wronecki= | = Wronecki = | ||
Comma: 531441/500000 | Comma: 531441/500000 | ||
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Badness: 0.3418 | Badness: 0.3418 | ||
[[Category:Theory]] | |||
[[Category:Temperament]] | |||
Revision as of 10:19, 2 March 2021
Hogzilla
Comma: 4428675/4194304
POTE generator: ~1215/1024 = 252.649
Map: [<1 0 11|, <0 2 -11|]
EDOs: 14, 19
Badness: 0.4247
Archaeotherium
Comma: 597871125/536870912
POTE generator: ~1215/1024 = 230.351
Map: [<1 1 5|, <0 3 -14|]
EDOs: 21, 26, 73bc, 99bc
Badness: 1.4349
Stump
Comma: 273375/262144
POTE generator: ~64/45 = 631.737
Map: [<1 0 6|, <0 3 -7|]
EDOs: 17, 19
Badness: 0.2006
Unsmate
Comma: 17578125/16777216
POTE generator: ~2048/1875 = 189.049
Map: [<1 3 2|, <0 -9 2|]
EDOs: 13, 19, 89c, 108c, 127c, 146c
Badness: 0.4602
Chromo
Comma: 1220703125/1146617856
POTE generator: ~25/24 = 53.922
Map: [<1 1 2|, <0 13 7|]
EDOs: 22, 45, 67c, 89c
Badness: 0.8428
Wizard
Comma: 2197265625/2147483648
POTE generator: ~5/4 = 383.212
Map: [<2 1 5|, <0 6 -1|]
EDOs: 22, 50, 72, 166, 238c, 310c, 548bc
Badness: 0.3864
Undeka
Comma: 48828125/45349632
POTE generator: ~3/2 = 703.829
Map: [<11 0 8|, <0 1 1|]
EDOs: 22, 77c, 99c, 121c
Badness: 0.7275
7-limit
Commas: 875/864, 3200/3087
POTE generator: ~3/2 = 708.792
Map: [<11 0 8 31|, <0 1 1 0|]
Wedgie: <<11 11 0 -8 -31 -31||
EDOs: 22
Badness: 0.1418
11-limit
Commas: 100/99, 352/343, 385/384
POTE generator: ~3/2 = 706.768
Map: [<11 0 8 31 38|, <0 1 1 0 0|]
EDOs: 22
Badness: 0.0687
13-limit
Commas: 65/63, 100/99, 169/165, 352/343
POTE generator: ~3/2 = 707.764
Map: [<11 0 8 31 38 23|, <0 1 1 0 0 1|]
EDOs: 22
Badness: 0.0565
Triskaidekic
Comma: 1220703125/1073741824
POTE generator: ~3/2 = 696.142
Map: [<13 0 30|, <0 1 0|]
EDOs: 13, 26, 91c
Badness: 2.2416
7-limit
Commas: 1728/1715, 1875/1792
POTE generator: ~3/2 = 694.143
Map: [<13 0 30 16|, <0 1 0 1|]
Wedgie: <<13 0 13 -30 -16 30||
EDOs: 26
Badness: 0.2190
11-limit
Commas: 99/98, 125/121, 385/384
POTE generator: ~3/2 = 696.296
Map: [<13 0 30 16 45|, <0 1 0 1 0|]
EDOs: 26, 91cd
Badness: 0.0988
13-limit
Commas: 78/77, 99/98, 125/121, 1200/1183
POTE generator: ~3/2 = 695.879
Map: [<13 0 30 16 45 48|, <0 1 0 1 0 0|]
EDOs: 26, 91cdf
Badness: 0.0592
Phillips
Comma: 9685512225/8589934592
POTE generator: ~3/2 = 691.455
Map: [<2 0 33|, <0 1 -9|]
EDOs: 14, 26, 66b, 92bc, 118bc
Badness: 2.2289
Oncle
Comma: 145282683375/137438953472
POTE generator: ~4096/3645 = 232.521
Map: [<1 1 6|, <0 3 -19|]
EDOs: 31, 98c, 129c, 160bc, 289bc
Badness: 1.2447
Quasimoha
Comma: 2353579470675/2199023255552
POTE generator: ~1048576/885735 = 348.600
Map: [<1 1 9|, <0 2 -23|]
EDOs: 31, 117c, 148bc, 179bc
Badness: 1.9867
Genocchi
Comma: 2359296/1953125
POTE generator: ~768/625 = 212.444
Map: [<1 0 2|, <0 9 2|]
EDOs: 17c
Badness: 1.4050
Misneb
Commas: 145964630126953125/144115188075855872
POTE generator: ~16/15 = 113.240
Map: [<1 3 1|, <0 -15 14|]
EDOs: 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bc
Badness: 0.6095
7-limit
Commas: 225/224, 4194304/4117715
POTE generator: ~16/15 = 113.235
Map: [<1 3 1 3|, <0 -15 14 -2|]
Wedgie: <<15 -14 2 -57 -39 44||
EDOs: 21, 32, 53
Badness: 0.1410
11-limit
Commas: 99/98, 176/175, 1310720/1294139
POTE generator: ~16/15 = 113.323
Map: [<1 3 1 3 1|, <0 -15 14 -2 26|]
EDOS: 21, 53, 127, 180de
Badness: 0.0854
13-limit
Commas: 99/98, 176/175, 640/637 847/845
POTE generator: ~16/15 = 113.323
Map: [<1 3 1 3 1 2|, <0 -15 14 -2 26 18|]
EDOs: 21, 53, 127, 189de
Badness: 0.0456
Musneb
Commas: 225/224, 385/384, 66550/64827
POTE generator: ~16/15 = 113.142
Map: [<1 3 1 3 6|, <0 -15 14 -2 -27|]
EDOS: 32, 53, 191de, 244cde, 297cde
Badness: 0.0873
Aufo
Comma: 2270041927734375/2251799813685248
POTE generator: ~45/32 = 588.722
Map: [<1 6 -7|, <0 -9 19|]
EDOs: 51, 53, 267, 320, 373, 426, 479, 532, 2607bc
Badness: 0.3071
7-limit
Commas: 6144/6125, 177147/175616
POTE generator: ~45/32 = 588.782
Map: [<1 6 -7 19|, <0 -9 19 -33|]
Wedgie: <<9 -19 33 -51 27 130||
EDOs: 53, 55, 108, 161, 214, 267
Badness: 0.1214
Untriton
Commas: 225/224, 125000000/121060821
POTE generator: ~7/5 = 588.641
Map: [<1 6 -7 -7|, <0 -9 19 20|]
Wedgie: <<9 -19 -20 -51 -57 7||
EDOs: 51, 53, 316cd, 369cd, 422cd
Badness: 0.1440
11-limit
Commas: 121/120, 225/224, 22000/21609
POTE generator: ~7/5 = 588.626
Map: [<1 6 -7 -7 1|, <0 -9 19 20 5|]
EDOs: 51, 53
Badness: 0.0743
13-limit
Commas: 121/120, 225/224, 275/273, 1040/1029
POTE generator: ~7/5 = 588.654
Map: [<1 6 -7 -7 1 -12|, <0 -9 19 20 5 32|]
EDOs: 53
Badness: 0.0474
Vinegar
Comma: 16000000/14348907
POTE generator: ~10/9 = 156.861
Map: [<3 0 -5|, <0 2 5|]
EDOs: 15, 39c, 54, 69b, 84b
Badness: 0.9030
Wronecki
Comma: 531441/500000
POTE generator: ~3/2 = 695.040
Map: [<6 0 -5|, <0 1 2|]
EDOs: 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bc
Badness: 0.3418