Miscellaneous 5-limit temperaments: Difference between revisions

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→Semidimi: fixed typo
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5,171 edits
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 12: Line 12:
[[POTE generator]]: ~25/24 = 140.995
[[POTE generator]]: ~25/24 = 140.995


{{Val list|legend=1| 8, 9, 17c }}
{{Optimal ET sequence|legend=1| 8, 9, 17c }}


[[Badness]]: 0.200483
[[Badness]]: 0.200483
Line 27: Line 27:
[[POTE generator]]: ~64/45 = 631.737
[[POTE generator]]: ~64/45 = 631.737


{{Val list|legend=1| 17, 19 }}
{{Optimal ET sequence|legend=1| 17, 19 }}


[[Badness]]: 0.200600
[[Badness]]: 0.200600
Line 42: Line 42:
[[POTE generator]]: ~768/625 = 357.088
[[POTE generator]]: ~768/625 = 357.088


{{Val list|legend=1| 37, 84, 205, 289, 494, 783, 2060, 2843, 3626 }}
{{Optimal ET sequence|legend=1| 37, 84, 205, 289, 494, 783, 2060, 2843, 3626 }}


[[Badness]]: 0.213112
[[Badness]]: 0.213112
Line 57: Line 57:
[[POTE generator]]: ~512/375 = 529.685
[[POTE generator]]: ~512/375 = 529.685


{{Val list|legend=1| 9, 25, 34, 77, 111, 145, 256c }}
{{Optimal ET sequence|legend=1| 9, 25, 34, 77, 111, 145, 256c }}


[[Badness]]: 0.232481
[[Badness]]: 0.232481
Line 72: Line 72:
[[POTE generator]]: ~162/125 = 448.449
[[POTE generator]]: ~162/125 = 448.449


{{Val list|legend=1| 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc }}
{{Optimal ET sequence|legend=1| 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc }}


[[Badness]]: 0.233376
[[Badness]]: 0.233376
Line 87: Line 87:
[[POTE generator]]: ~3/2 = 702.605
[[POTE generator]]: ~3/2 = 702.605


{{Val list|legend=1| 12, 140, 152, 164, 1076bc, 1228bc }}
{{Optimal ET sequence|legend=1| 12, 140, 152, 164, 1076bc, 1228bc }}


[[Badness]]: 0.241703
[[Badness]]: 0.241703
Line 102: Line 102:
[[POTE generator]]: ~64/45 = 561.264
[[POTE generator]]: ~64/45 = 561.264


{{Val list|legend=1| 2, 13, 15, 32c, 47bc, 62bc }}
{{Optimal ET sequence|legend=1| 2, 13, 15, 32c, 47bc, 62bc }}


[[Badness]]: 0.246073
[[Badness]]: 0.246073
Line 117: Line 117:
[[POTE generator]]: ~6/5 = 310.140
[[POTE generator]]: ~6/5 = 310.140


{{Val list|legend=1| 27, 31, 58, 89, 325cc }}
{{Optimal ET sequence|legend=1| 27, 31, 58, 89, 325cc }}


[[Badness]]: 0.249965
[[Badness]]: 0.249965
Line 132: Line 132:
[[POTE generator]]: ~14348907/10240000 = 588.636
[[POTE generator]]: ~14348907/10240000 = 588.636


{{Val list|legend=1| 53, 263, 316, 369, 422, 475, 528 }}
{{Optimal ET sequence|legend=1| 53, 263, 316, 369, 422, 475, 528 }}


[[Badness]]: 0.255594
[[Badness]]: 0.255594
Line 147: Line 147:
[[POTE generator]]: ~864/625 = 559.332
[[POTE generator]]: ~864/625 = 559.332


{{Val list|legend=1| 15, 88, 103, 118, 959, 1077 }}
{{Optimal ET sequence|legend=1| 15, 88, 103, 118, 959, 1077 }}


[[Badness]]: 0.283570
[[Badness]]: 0.283570
Line 162: Line 162:
[[POTE generator]]: ~27/20 = 561.195
[[POTE generator]]: ~27/20 = 561.195


{{Val list|legend=1| 15, 47b, 62b }}
{{Optimal ET sequence|legend=1| 15, 47b, 62b }}


[[Badness]]: 0.295767
[[Badness]]: 0.295767
Line 177: Line 177:
[[POTE generator]]: ~17578125/16777216 = 77.191
[[POTE generator]]: ~17578125/16777216 = 77.191


{{Val list|legend=1| 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c }}
{{Optimal ET sequence|legend=1| 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c }}


[[Badness]]: 0.297544
[[Badness]]: 0.297544
Line 192: Line 192:
[[POTE generator]]: ~3/2 = 700.734
[[POTE generator]]: ~3/2 = 700.734


{{Val list|legend=1| 12, 113, 125, 137 }}
{{Optimal ET sequence|legend=1| 12, 113, 125, 137 }}


[[Badness]]: 0.306809
[[Badness]]: 0.306809
Line 207: Line 207:
[[POTE generator]]: ~45/32 = 588.722
[[POTE generator]]: ~45/32 = 588.722


{{Val list|legend=1| 51, 53, 267, 320, 373, 426, 479, 532, 2607bc }}
{{Optimal ET sequence|legend=1| 51, 53, 267, 320, 373, 426, 479, 532, 2607bc }}


[[Badness]]: 0.307073
[[Badness]]: 0.307073
Line 222: Line 222:
[[POTE generator]]: ~6/5 = 316.081
[[POTE generator]]: ~6/5 = 316.081


{{Val list|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}
{{Optimal ET sequence|legend=1| 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c }}


[[Badness]]: 0.317551
[[Badness]]: 0.317551
Line 237: Line 237:
[[POTE generator]]: ~3/2 = 706.288
[[POTE generator]]: ~3/2 = 706.288


{{Val list|legend=1| 7, 42, 49, 56, 119 }}
{{Optimal ET sequence|legend=1| 7, 42, 49, 56, 119 }}


[[Badness]]: 0.339335
[[Badness]]: 0.339335
Line 252: Line 252:
[[POTE generator]]: ~10/9 = 185.901
[[POTE generator]]: ~10/9 = 185.901


{{Val list|legend=1| 7, 70, 77, 84, 329, 413b, 497b }}
{{Optimal ET sequence|legend=1| 7, 70, 77, 84, 329, 413b, 497b }}


[[Badness]]: 0.341202
[[Badness]]: 0.341202
Line 265: Line 265:
[[POTE generator]]: ~3/2 = 695.040
[[POTE generator]]: ~3/2 = 695.040


{{Val list|legend=1| 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc }}
{{Optimal ET sequence|legend=1| 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc }}


[[Badness]]: 0.341757
[[Badness]]: 0.341757
Line 280: Line 280:
[[POTE generator]]: ~6/5 = 284.293
[[POTE generator]]: ~6/5 = 284.293


{{Val list|legend=1| 4, 17c, 21, 38c }}
{{Optimal ET sequence|legend=1| 4, 17c, 21, 38c }}


[[Badness]]: 0.355937
[[Badness]]: 0.355937
Line 295: Line 295:
[[POTE generator]]: ~125/96 = 458.995
[[POTE generator]]: ~125/96 = 458.995


{{Val list|legend=1| 34, 115, 149, 183, 217, 400, 617 }}
{{Optimal ET sequence|legend=1| 34, 115, 149, 183, 217, 400, 617 }}


[[Badness]]: 0.356948
[[Badness]]: 0.356948
Line 310: Line 310:
[[POTE generator]]: ~512/405 = 355.930
[[POTE generator]]: ~512/405 = 355.930


{{Val list|legend=1| 10, 17c, 27, 64b, 91bc, 118bc }}
{{Optimal ET sequence|legend=1| 10, 17c, 27, 64b, 91bc, 118bc }}


[[Badness]]: 0.358542
[[Badness]]: 0.358542
Line 325: Line 325:
[[POTE generator]]: ~5/4 = 391.225
[[POTE generator]]: ~5/4 = 391.225


{{Val list|legend=1| 3, 40, 43, 46, 181c, 227c, 273c, 319c }}
{{Optimal ET sequence|legend=1| 3, 40, 43, 46, 181c, 227c, 273c, 319c }}


[[Badness]]: 0.360162
[[Badness]]: 0.360162
Line 340: Line 340:
[[POTE generator]]: ~655360/531441 = 351.476
[[POTE generator]]: ~655360/531441 = 351.476


{{Val list|legend=1| 41, 58, 99, 239, 338, 915b, 1253bc }}
{{Optimal ET sequence|legend=1| 41, 58, 99, 239, 338, 915b, 1253bc }}


[[Badness]]: 0.372848
[[Badness]]: 0.372848
Line 353: Line 353:
[[POTE generator]]: ~104976/78125 = 504.913
[[POTE generator]]: ~104976/78125 = 504.913


{{Val list|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }}
{{Optimal ET sequence|legend=1| 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c }}


[[Badness]]: 0.373477
[[Badness]]: 0.373477
Line 368: Line 368:
[[POTE generator]]: ~45/32 = 580.219
[[POTE generator]]: ~45/32 = 580.219


{{Val list|legend=1| 29, 31, 60, 91 }}
{{Optimal ET sequence|legend=1| 29, 31, 60, 91 }}


[[Badness]]: 0.378527
[[Badness]]: 0.378527
Line 385: Line 385:
[[POTE generator]]: ~5/4 = 383.212
[[POTE generator]]: ~5/4 = 383.212


{{Val list|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }}
{{Optimal ET sequence|legend=1| 22, 50, 72, 166, 238c, 310c, 548bc }}


[[Badness]]: 0.386367
[[Badness]]: 0.386367
Line 402: Line 402:
[[Mapping]]: [{{Val| 1 2 0 }}, {{Val| 0 -5 28 }}]
[[Mapping]]: [{{Val| 1 2 0 }}, {{Val| 0 -5 28 }}]


{{Val list|legend=1| 12, 193, 205, 217, 422 }}
{{Optimal ET sequence|legend=1| 12, 193, 205, 217, 422 }}


[[Badness]]: 0.399849
[[Badness]]: 0.399849
Line 415: Line 415:
[[POTE generator]]: ~1215/1024 = 252.649
[[POTE generator]]: ~1215/1024 = 252.649


{{Val list|legend=1| 14, 19 }}
{{Optimal ET sequence|legend=1| 14, 19 }}


[[Badness]]: 0.424685
[[Badness]]: 0.424685
Line 430: Line 430:
[[POTE generator]]: ~3/2 = 701.0837
[[POTE generator]]: ~3/2 = 701.0837


{{Val list|legend=1| 26, 39, 65, 286, 351, 416, 481, 546 }}
{{Optimal ET sequence|legend=1| 26, 39, 65, 286, 351, 416, 481, 546 }}


[[Badness]]: 0.437494
[[Badness]]: 0.437494
Line 445: Line 445:
[[POTE generator]]: ~135/128 = 99.267
[[POTE generator]]: ~135/128 = 99.267


{{Val list|legend=1| 12, 109, 121, 133 }}
{{Optimal ET sequence|legend=1| 12, 109, 121, 133 }}


[[Badness]]: 0.444506
[[Badness]]: 0.444506
Line 460: Line 460:
[[POTE generator]]: ~45/32 = 585.634
[[POTE generator]]: ~45/32 = 585.634


{{Val list|legend=1| 41, 84, 125, 209, 334c, 543bc }}
{{Optimal ET sequence|legend=1| 41, 84, 125, 209, 334c, 543bc }}


[[Badness]]: 0.453848
[[Badness]]: 0.453848
Line 473: Line 473:
[[POTE generator]]: ~2048/1875 = 189.049
[[POTE generator]]: ~2048/1875 = 189.049


{{Val list|legend=1| 13, 19, 89c, 108c, 127c, 146cc }}
{{Optimal ET sequence|legend=1| 13, 19, 89c, 108c, 127c, 146cc }}


[[Badness]]: 0.460168
[[Badness]]: 0.460168
Line 488: Line 488:
[[POTE generator]]: ~3125/2916 = 154.523
[[POTE generator]]: ~3125/2916 = 154.523


{{Val list|legend=1| 8, 23, 31, 70, 101, 132c, 233c, 365bcc }}
{{Optimal ET sequence|legend=1| 8, 23, 31, 70, 101, 132c, 233c, 365bcc }}


[[Badness]]: 0.466493
[[Badness]]: 0.466493
Line 503: Line 503:
[[POTE generator]]: ~81/80 = 55.382
[[POTE generator]]: ~81/80 = 55.382


{{Val list|legend=1| 20c, 22, 86b, 108b, 130b }}
{{Optimal ET sequence|legend=1| 20c, 22, 86b, 108b, 130b }}


[[Badness]]: 0.491181
[[Badness]]: 0.491181
Line 518: Line 518:
[[POTE generator]]: ~1594323/1562500 = 26.2342
[[POTE generator]]: ~1594323/1562500 = 26.2342


{{Val list|legend=1| 45, 46, 91, 137, 183 }}
{{Optimal ET sequence|legend=1| 45, 46, 91, 137, 183 }}


[[Badness]]: 0.504555
[[Badness]]: 0.504555
Line 533: Line 533:
[[POTE generator]]: ~3125/2304 = 558.592
[[POTE generator]]: ~3125/2304 = 558.592


{{Val list|legend=1| 15, 43, 58 }}
{{Optimal ET sequence|legend=1| 15, 43, 58 }}


[[Badness]]: 0.511109
[[Badness]]: 0.511109
Line 548: Line 548:
[[POTE generator]]: ~3/2 = 704.179
[[POTE generator]]: ~3/2 = 704.179


{{Val list|legend=1| 29, 46, 121, 167, 455bc, 622bbc }}
{{Optimal ET sequence|legend=1| 29, 46, 121, 167, 455bc, 622bbc }}


[[Badness]]: 0.523182
[[Badness]]: 0.523182
Line 563: Line 563:
[[POTE generator]]: ~5/4 = 389.193
[[POTE generator]]: ~5/4 = 389.193


{{Val list|legend=1| 17c, 34 }}
{{Optimal ET sequence|legend=1| 17c, 34 }}


[[Badness]]: 0.541384
[[Badness]]: 0.541384
Line 578: Line 578:
[[POTE generator]]: ~6/5 = 312.713
[[POTE generator]]: ~6/5 = 312.713


{{Val list|legend=1| 4, 42, 46, 96, 142 }}
{{Optimal ET sequence|legend=1| 4, 42, 46, 96, 142 }}


[[Badness]]: 0.541831
[[Badness]]: 0.541831
Line 593: Line 593:
[[POTE generator]]: ~9765625/7077888 = 551.784
[[POTE generator]]: ~9765625/7077888 = 551.784


{{Val list|legend=1| 37, 50, 87, 137, 224 }}
{{Optimal ET sequence|legend=1| 37, 50, 87, 137, 224 }}


[[Badness]]: 0.544752
[[Badness]]: 0.544752
Line 608: Line 608:
[[POTE generator]]: ~16/15 = 113.240
[[POTE generator]]: ~16/15 = 113.240


{{Val list|legend=1| 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc }}
{{Optimal ET sequence|legend=1| 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc }}


[[Badness]]: 0.609540
[[Badness]]: 0.609540
Line 623: Line 623:
[[POTE generator]]: ~192/125 = 735.146
[[POTE generator]]: ~192/125 = 735.146


{{Val list|legend=1| 18, 31, 80, 111 }}
{{Optimal ET sequence|legend=1| 18, 31, 80, 111 }}


[[Badness]]: 0.630576
[[Badness]]: 0.630576
Line 638: Line 638:
[[POTE generator]]: ~3/2 = 702.630
[[POTE generator]]: ~3/2 = 702.630


{{Val list|legend=1| 41, 111, 152 }}
{{Optimal ET sequence|legend=1| 41, 111, 152 }}


[[Badness]]: 0.636715
[[Badness]]: 0.636715
Line 653: Line 653:
[[POTE generator]]: ~27/25 = 126.724
[[POTE generator]]: ~27/25 = 126.724


{{Val list|legend=1| 19, 85c, 104c, 123, 142, 161 }}
{{Optimal ET sequence|legend=1| 19, 85c, 104c, 123, 142, 161 }}


[[Badness]]: 0.653871
[[Badness]]: 0.653871
Line 668: Line 668:
[[POTE generator]]: ~75/64 = 263.658
[[POTE generator]]: ~75/64 = 263.658


{{Val list|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }}
{{Optimal ET sequence|legend=1| 9, 23b, 32, 41, 91, 132, 223c, 355bc }}


[[Badness]]: 0.670947
[[Badness]]: 0.670947
Line 683: Line 683:
[[POTE generator]]: ~27/25 = 72.742
[[POTE generator]]: ~27/25 = 72.742


{{Val list|legend=1| 16, 17c, 33 }}
{{Optimal ET sequence|legend=1| 16, 17c, 33 }}


[[Badness]]: 0.689274
[[Badness]]: 0.689274
Line 698: Line 698:
[[POTE generator]]: ~3/2 = 702.652
[[POTE generator]]: ~3/2 = 702.652


{{Val list|legend=1| 15, 45, 60, 75, 135, 210c, 345cc }}
{{Optimal ET sequence|legend=1| 15, 45, 60, 75, 135, 210c, 345cc }}


[[Badness]]: 0.692042
[[Badness]]: 0.692042
Line 713: Line 713:
[[POTE generator]]: ~512/405 = 425.474
[[POTE generator]]: ~512/405 = 425.474


{{Val list|legend=1| 14, 17, 31, 79, 110, 361bc }}
{{Optimal ET sequence|legend=1| 14, 17, 31, 79, 110, 361bc }}


[[Badness]]: 0.723413
[[Badness]]: 0.723413
Line 728: Line 728:
[[POTE generator]]: ~3/2 = 703.829
[[POTE generator]]: ~3/2 = 703.829


{{Val list|legend=1| 22, 77c, 99c, 121c }}
{{Optimal ET sequence|legend=1| 22, 77c, 99c, 121c }}


[[Badness]]: 0.727539
[[Badness]]: 0.727539
Line 743: Line 743:
[[POTE generator]]: ~144/125 = 222.912
[[POTE generator]]: ~144/125 = 222.912


{{Val list|legend=1| 16, 27, 43, 70, 183cc }}
{{Optimal ET sequence|legend=1| 16, 27, 43, 70, 183cc }}


[[Badness]]: 0.729609
[[Badness]]: 0.729609
Line 758: Line 758:
[[POTE generator]]: ~162/125 = 449.127
[[POTE generator]]: ~162/125 = 449.127


{{Val list|legend=1| 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419 }}
{{Optimal ET sequence|legend=1| 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419 }}


[[Badness]]: 0.754866
[[Badness]]: 0.754866
Line 773: Line 773:
[[POTE generator]]: ~3125/2592 = 292.702
[[POTE generator]]: ~3125/2592 = 292.702


{{Val list|legend=1| 4, 37, 41 }}
{{Optimal ET sequence|legend=1| 4, 37, 41 }}


[[Badness]]: 0.767824
[[Badness]]: 0.767824
Line 788: Line 788:
[[POTE generator]]: ~4374/3125 = 541.726
[[POTE generator]]: ~4374/3125 = 541.726


{{Val list|legend=1| 11c, 20c, 31, 113c, 144c, 175c, 381bcc }}
{{Optimal ET sequence|legend=1| 11c, 20c, 31, 113c, 144c, 175c, 381bcc }}


[[Badness]]: 0.816635
[[Badness]]: 0.816635
Line 803: Line 803:
[[POTE generator]]: ~25/24 = 53.922
[[POTE generator]]: ~25/24 = 53.922


{{Val list|legend=1| 22, 45, 67c, 89c }}
{{Optimal ET sequence|legend=1| 22, 45, 67c, 89c }}


[[Badness]]: 0.842835
[[Badness]]: 0.842835
Line 818: Line 818:
[[POTE generator]]: ~16/15 = 112.281
[[POTE generator]]: ~16/15 = 112.281


{{Val list|legend=1| 21, 54, 75, 96, 171 }}
{{Optimal ET sequence|legend=1| 21, 54, 75, 96, 171 }}


[[Badness]]: 0.851003
[[Badness]]: 0.851003
Line 833: Line 833:
[[POTE generator]]: ~64/45 = 577.705
[[POTE generator]]: ~64/45 = 577.705


{{Val list|legend=1| 2, 25, 27 }}
{{Optimal ET sequence|legend=1| 2, 25, 27 }}


[[Badness]]: 0.852612
[[Badness]]: 0.852612
Line 848: Line 848:
[[POTE generator]]: ~27/25 = 146.476
[[POTE generator]]: ~27/25 = 146.476


{{Val list|legend=1| 8, 41, 131, 172, 213c }}
{{Optimal ET sequence|legend=1| 8, 41, 131, 172, 213c }}


[[Badness]]: 0.860534
[[Badness]]: 0.860534
Line 863: Line 863:
[[POTE generator]]: ~45/32 = 554.546
[[POTE generator]]: ~45/32 = 554.546


{{Val list|legend=1| 26, 80bc, 106bc, 132bc }}
{{Optimal ET sequence|legend=1| 26, 80bc, 106bc, 132bc }}


[[Badness]]: 0.884000
[[Badness]]: 0.884000
Line 876: Line 876:
[[POTE generator]]: ~10/9 = 156.861
[[POTE generator]]: ~10/9 = 156.861


{{Val list|legend=1| 15, 39c, 54, 69b, 84b }}
{{Optimal ET sequence|legend=1| 15, 39c, 54, 69b, 84b }}


[[Badness]]: 0.903002
[[Badness]]: 0.903002
Line 891: Line 891:
[[POTE generator]]: ~6/5 = 311.694
[[POTE generator]]: ~6/5 = 311.694


{{Val list|legend=1| 23, 27, 50, 77 }}
{{Optimal ET sequence|legend=1| 23, 27, 50, 77 }}


[[Badness]]: 0.942789
[[Badness]]: 0.942789
Line 908: Line 908:
[[POTE generator]]: ~5/4 = 387.408
[[POTE generator]]: ~5/4 = 387.408


{{Val list|legend=1| 29, 58, 87, 232, 319 }}
{{Optimal ET sequence|legend=1| 29, 58, 87, 232, 319 }}


[[Badness]]: 1.020556
[[Badness]]: 1.020556
Line 922: Line 922:
[[POTE generator]]: ~3/2 = 702.315
[[POTE generator]]: ~3/2 = 702.315


{{Val list|legend=1| 41, 135c, 176, 217, 475, 1167, 1642, 2117b }}
{{Optimal ET sequence|legend=1| 41, 135c, 176, 217, 475, 1167, 1642, 2117b }}


[[Badness]]: 1.240078
[[Badness]]: 1.240078
Line 937: Line 937:
[[POTE generator]]: ~4096/3645 = 232.521
[[POTE generator]]: ~4096/3645 = 232.521


{{Val list|legend=1| 31, 98c, 129c, 160bc, 289bbcc }}
{{Optimal ET sequence|legend=1| 31, 98c, 129c, 160bc, 289bbcc }}


[[Badness]]: 1.244699
[[Badness]]: 1.244699
Line 952: Line 952:
[[POTE generator]]: ~6561/6250 = 38.571
[[POTE generator]]: ~6561/6250 = 38.571


{{Val list|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}
{{Optimal ET sequence|legend=1| 31, 156c, 187c, 218bc, 249bc, 280bc }}


[[Badness]]: 1.344681
[[Badness]]: 1.344681
Line 967: Line 967:
[[POTE generator]]: ~27/25 = 137.962
[[POTE generator]]: ~27/25 = 137.962


{{Val list|legend=1| 26, 61, 87, 287, 374, 461 }}
{{Optimal ET sequence|legend=1| 26, 61, 87, 287, 374, 461 }}


[[Badness]]: 1.381216
[[Badness]]: 1.381216
Line 980: Line 980:
[[POTE generator]]: ~768/625 = 212.444
[[POTE generator]]: ~768/625 = 212.444


{{Val list|legend=1| 6b, 11b, 17c }}
{{Optimal ET sequence|legend=1| 6b, 11b, 17c }}


[[Badness]]: 1.404977
[[Badness]]: 1.404977
Line 995: Line 995:
[[POTE generator]]: ~864/625 = 542.208
[[POTE generator]]: ~864/625 = 542.208


{{Val list|legend=1| 11b, 20b, 31, 73, 104c, 135c }}
{{Optimal ET sequence|legend=1| 11b, 20b, 31, 73, 104c, 135c }}


[[Badness]]: 1.423736
[[Badness]]: 1.423736
Line 1,010: Line 1,010:
[[POTE generator]]: ~1215/1024 = 230.351
[[POTE generator]]: ~1215/1024 = 230.351


{{Val list|legend=1| 21, 26, 73bc, 99bc }}
{{Optimal ET sequence|legend=1| 21, 26, 73bc, 99bc }}


[[Badness]]: 1.434855
[[Badness]]: 1.434855
Line 1,025: Line 1,025:
[[POTE generator]]: ~{{Monzo|47 -28 -1}} = 351.114
[[POTE generator]]: ~{{Monzo|47 -28 -1}} = 351.114


{{Val list|legend=1| 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc }}
{{Optimal ET sequence|legend=1| 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc }}


[[Badness]]: 1.528465
[[Badness]]: 1.528465
Line 1,040: Line 1,040:
[[POTE generator]]: ~1048576/885735 = 348.600
[[POTE generator]]: ~1048576/885735 = 348.600


{{Val list|legend=1| 31, 117c, 148bc, 179bc }}
{{Optimal ET sequence|legend=1| 31, 117c, 148bc, 179bc }}


[[Badness]]: 1.986675
[[Badness]]: 1.986675
Line 1,055: Line 1,055:
[[POTE generator]]: ~3/2 = 691.455
[[POTE generator]]: ~3/2 = 691.455


{{Val list|legend=1| 14, 26, 66b, 92bc, 118bbc }}
{{Optimal ET sequence|legend=1| 14, 26, 66b, 92bc, 118bbc }}


[[Badness]]: 2.228904
[[Badness]]: 2.228904
Line 1,070: Line 1,070:
[[POTE generator]]: ~3/2 = 696.142
[[POTE generator]]: ~3/2 = 696.142


{{Val list|legend=1| 13, 26, 91c }}
{{Optimal ET sequence|legend=1| 13, 26, 91c }}


[[Badness]]: 2.241568
[[Badness]]: 2.241568
Line 1,085: Line 1,085:
[[POTE generator]]: ~{{monzo|-34 23 -1}} = 165.907
[[POTE generator]]: ~{{monzo|-34 23 -1}} = 165.907


{{Val list|legend=1| 94, 217, 528, 745, 1273 }}
{{Optimal ET sequence|legend=1| 94, 217, 528, 745, 1273 }}


[[Badness]]: 2.853049
[[Badness]]: 2.853049


[[Category:Temperament collections]]
[[Category:Temperament collections]]

Revision as of 19:14, 7 May 2023

Below are listed some high badness temperaments (Badness > 0.2).

Lafayette

See also: Mint temperaments § Progression

Subgroup: 2.3.5

Comma: 3456/3125

Mapping: [⟨1 1 2], ⟨0 5 3]]

POTE generator: ~25/24 = 140.995

Optimal ET sequence: 8, 9, 17c

Badness: 0.200483

Stump

See also: Sensamagic clan #Pycnic and Marvel temperaments #Triton

Subgroup: 2.3.5

Comma: 273375/262144

Mapping: [⟨1 0 6], ⟨0 3 -7]]

POTE generator: ~64/45 = 631.737

Optimal ET sequence: 17, 19

Badness: 0.200600

Dodifo

See also: Porwell temperaments § Dodifo

Subgroup: 2.3.5

Comma: [-67 -9 35⟩

Mapping: [⟨1 12 5], ⟨0 -35 -9]]

POTE generator: ~768/625 = 357.088

Optimal ET sequence: 37, 84, 205, 289, 494, 783, 2060, 2843, 3626

Badness: 0.213112

Mabila

See also: Mabila family

Subgroup: 2.3.5

Comma: 268435456/263671875

Mapping: [⟨1 6 1], ⟨0 -10 3]]

POTE generator: ~512/375 = 529.685

Optimal ET sequence: 9, 25, 34, 77, 111, 145, 256c

Badness: 0.232481

Semidimfourth

See also: Ragismic microtemperaments § Semidimfourth

Subgroup: 2.3.5

Comma: [7 41 -31⟩

Mapping: [⟨1 21 28], ⟨0 -31 -41]]

POTE generator: ~162/125 = 448.449

Optimal ET sequence: 8, 91, 99, 190, 289, 388, 677, 3674, 4351, 5028, 5705, 6382, 13441c, 19823bcc

Badness: 0.233376

Undim

See also: Undim family

Subgroup: 2.3.5

Comma: 2199023255552/2179240250625

Mapping: [⟨4 6 11], ⟨0 1 -5]]

POTE generator: ~3/2 = 702.605

Optimal ET sequence: 12, 140, 152, 164, 1076bc, 1228bc

Badness: 0.241703

Progress

See also: Archytas clan § Progress

Subgroup: 2.3.5

Comma: 32768/30375

Mapping: [⟨1 0 5], ⟨0 3 -5]]

POTE generator: ~64/45 = 561.264

Optimal ET sequence: 2, 13, 15, 32c, 47bc, 62bc

Badness: 0.246073

Mynic

See also: Starling temperaments § Myna

Subgroup: 2.3.5

Comma: 10077696/9765625

Mapping: [⟨1 9 9], ⟨0 -10 -9]]

POTE generator: ~6/5 = 310.140

Optimal ET sequence: 27, 31, 58, 89, 325cc

Badness: 0.249965

Countriton

See also: Hemifamity temperaments § Countriton

Subgroup: 2.3.5

Comma: 16777216000000000/16677181699666569

Mapping: [⟨1 6 19], ⟨0 -9 -34]]

POTE generator: ~14348907/10240000 = 588.636

Optimal ET sequence: 53, 263, 316, 369, 422, 475, 528

Badness: 0.255594

Tritriple

See also: Gamelismic clan § Tritriple

Subgroup: 2.3.5

Comma: [31 20 -27⟩

Mapping: [⟨1 -11 -7], ⟨0 27 20]]

POTE generator: ~864/625 = 559.332

Optimal ET sequence: 15, 88, 103, 118, 959, 1077

Badness: 0.283570

Kangaroo

See also: Trienstonic clan § Kangaroo

Subgroup: 2.3.5

Comma: 64000/59049

Mapping: [⟨1 0 -3], ⟨0 3 10]]

POTE generator: ~27/20 = 561.195

Optimal ET sequence: 15, 47b, 62b

Badness: 0.295767

Tertiaseptal

See also: Breedsmic temperaments § Tertiaseptal

Subgroup: 2.3.5

Comma: 579357147216796875/576460752303423488

Mapping: [⟨1 3 2], ⟨0 -22 5]]

POTE generator: ~17578125/16777216 = 77.191

Optimal ET sequence: 31, 109, 140, 171, 1679c, 1850c, 2021c, 2192c, 2363c, 2534c, 2705c, 2876c, 3047c

Badness: 0.297544

Gracecordial

See also: Marvel temperaments #Gracecordial

Subgroup: 2.3.5

Comma: 17433922005/17179869184

Mapping: [⟨1 0 34], ⟨0 1 -20]]

POTE generator: ~3/2 = 700.734

Optimal ET sequence: 12, 113, 125, 137

Badness: 0.306809

Untriton

See also: Marvel temperaments #Untriton, Porwell temperaments #Aufo and Triwellismic temperaments #Interaufo

Subgroup: 2.3.5

Comma: 2270041927734375/2251799813685248

Mapping: [⟨1 6 -7], ⟨0 -9 19]]

POTE generator: ~45/32 = 588.722

Optimal ET sequence: 51, 53, 267, 320, 373, 426, 479, 532, 2607bc

Badness: 0.307073

Counterhanson

See also: Ragismic microtemperaments § Counterkleismic

Subgroup: 2.3.5

Comma: [-20 -24 25⟩ = 298023223876953125/296148833645101056

Mapping: [⟨1 -5 -4], ⟨0 25 24]]

POTE generator: ~6/5 = 316.081

Optimal ET sequence: 19, 148, 167, 186, 205, 224, 429, 653, 1082, 1735c

Badness: 0.317551

Sevond

See also: Keemic temperaments § Sevond

Subgroup: 2.3.5

Comma: 5000000/4782969

Mapping: [⟨7 0 -6], ⟨0 1 2]]

POTE generator: ~3/2 = 706.288

Optimal ET sequence: 7, 42, 49, 56, 119

Badness: 0.339335

Absurdity

See also: Porwell temperaments § Absurdity

Subgroup: 2.3.5

Comma: 10460353203/10240000000

Mapping: [⟨7 0 -17], ⟨0 1 3]]

POTE generator: ~10/9 = 185.901

Optimal ET sequence: 7, 70, 77, 84, 329, 413b, 497b

Badness: 0.341202

Wronecki

Subgroup: 2.3.5

Comma: 531441/500000

Mapping: [⟨6 0 -5], ⟨0 1 2]]

POTE generator: ~3/2 = 695.040

Optimal ET sequence: 12, 66b, 78b, 90b, 102b, 114b, 126b, 240bbc

Badness: 0.341757

Delorean

See also: Mint temperaments § Subklei

Subgroup: 2.3.5

Comma: 17496/15625

Mapping: [⟨1 3 4], ⟨0 -6 -7]]

POTE generator: ~6/5 = 284.293

Optimal ET sequence: 4, 17c, 21, 38c

Badness: 0.355937

Majvam

See also: Subgroup temperaments #Majvam, Cataharry temperaments #Majvamoid, and Parkleiness temperaments #Majvamic

Subgroup: 2.3.5

Comma: 2404631929946112/2384185791015625

Mapping: [⟨1 10 5], ⟨0 -22 -7]]

POTE generator: ~125/96 = 458.995

Optimal ET sequence: 34, 115, 149, 183, 217, 400, 617

Badness: 0.356948

Beatles

See also: Archytas clan § Beatles

Subgroup: 2.3.5

Comma: 524288/492075

Mapping: [⟨1 1 5], ⟨0 2 -9]]

POTE generator: ~512/405 = 355.930

Optimal ET sequence: 10, 17c, 27, 64b, 91bc, 118bc

Badness: 0.358542

Magus

See also: Sensamagic clan #Magus and Starling temperaments #Amigo

Subgroup: 2.3.5

Comma: 50331648/48828125

Mapping: [⟨1 -2 2], ⟨0 11 1]]

POTE generator: ~5/4 = 391.225

Optimal ET sequence: 3, 40, 43, 46, 181c, 227c, 273c, 319c

Badness: 0.360162

Hemififths

See also: Breedsmic temperaments § Hemififths

Subgroup: 2.3.5

Comma: 858993459200/847288609443

Mapping: [⟨1 1 -5], ⟨0 2 25]]

POTE generator: ~655360/531441 = 351.476

Optimal ET sequence: 41, 58, 99, 239, 338, 915b, 1253bc

Badness: 0.372848

Countermeantone

Subgroup: 2.3.5

Comma: [10 23 -20⟩ = 96402615118848/95367431640625

Mapping: [⟨1 10 12], ⟨0 -20 -23]]

POTE generator: ~104976/78125 = 504.913

Optimal ET sequence: 19, 126, 145, 164, 183, 713, 896c, 1079c, 1262c

Badness: 0.373477

Tritonic

See also: Marvel temperaments § Tritonic

Subgroup: 2.3.5

Comma: 553584375/536870912

Mapping: [⟨1 4 -3], ⟨0 -5 11]]

POTE generator: ~45/32 = 580.219

Optimal ET sequence: 29, 31, 60, 91

Badness: 0.378527

Wizard

See also: Marvel temperaments § Wizard

Subgroup: 2.3.5

Comma: 2197265625/2147483648

Mapping: [⟨2 1 5], ⟨0 6 -1]]

Mapping generators: ~42875/32768, ~9375/8192

POTE generator: ~5/4 = 383.212

Optimal ET sequence: 22, 50, 72, 166, 238c, 310c, 548bc

Badness: 0.386367

Scales (Scala files): wizard22

Quindromeda

See also: Quindromeda family

Subgroup: 2.3.5

Comma: 72057594037927936/71489976421753125

POTE generator: ~4428675/4194304 = 99.526

Mapping: [⟨1 2 0], ⟨0 -5 28]]

Optimal ET sequence: 12, 193, 205, 217, 422

Badness: 0.399849

Hogzilla

Subgroup: 2.3.5

Comma: 4428675/4194304

Mapping: [⟨1 0 11], ⟨0 2 -11]]

POTE generator: ~1215/1024 = 252.649

Optimal ET sequence: 14, 19

Badness: 0.424685

Tridecatonic

See also: Octagar temperaments #Tridecatonic, Ragismic microtemperaments #Trideci, and 26th-octave temperaments

Subgroup: 2.3.5

Comma: 2541865828329/2500000000000

Mapping: [⟨13 21 31], ⟨0 -1 -2]]

POTE generator: ~3/2 = 701.0837

Optimal ET sequence: 26, 39, 65, 286, 351, 416, 481, 546

Badness: 0.437494

Quintaleap

See also: Quintaleap family

Subgroup: 2.3.5

Comma: 137438953472/134521003125

Mapping: [⟨1 2 1], ⟨0 -5 16]]

POTE generator: ~135/128 = 99.267

Optimal ET sequence: 12, 109, 121, 133

Badness: 0.444506

Merman

See also: Marvel temperaments § Merman

Subgroup: 2.3.5

Comma: 1121008359375/1099511627776

Mapping: [⟨1 5 -5], ⟨0 -7 15]]

POTE generator: ~45/32 = 585.634

Optimal ET sequence: 41, 84, 125, 209, 334c, 543bc

Badness: 0.453848

Unsmate

Subgroup: 2.3.5

Comma: 17578125/16777216

Mapping: [⟨1 3 2], ⟨0 -9 2]]

POTE generator: ~2048/1875 = 189.049

Optimal ET sequence: 13, 19, 89c, 108c, 127c, 146cc

Badness: 0.460168

Nusecond

See also: Starling temperaments § Nusecond

Subgroup: 2.3.5

Comma: 51018336/48828125

Mapping: [⟨1 3 4], ⟨0 -11 -13]]

POTE generator: ~3125/2916 = 154.523

Optimal ET sequence: 8, 23, 31, 70, 101, 132c, 233c, 365bcc

Badness: 0.466493

Comic

See also: Jubilismic clan § Comic

Subgroup: 2.3.5

Comma: 5120000/4782969

Mapping: [⟨2 1 -3], ⟨0 2 7]]

POTE generator: ~81/80 = 55.382

Optimal ET sequence: 20c, 22, 86b, 108b, 130b

Badness: 0.491181

Sfourth

See also: Ragismic microtemperaments § Sfourth

Subgroup: 2.3.5

Comma: 617673396283947/610351562500000

Mapping: [⟨1 2 3], ⟨0 -19 -31]]

POTE generator: ~1594323/1562500 = 26.2342

Optimal ET sequence: 45, 46, 91, 137, 183

Badness: 0.504555

Thuja

See also: Starling temperaments § Thuja

Subgroup: 2.3.5

Comma: 254803968/244140625

Mapping: [⟨1 -4 0], ⟨0 12 5]]

POTE generator: ~3125/2304 = 558.592

Optimal ET sequence: 15, 43, 58

Badness: 0.511109

Leapday

See also: Hemifamity temperaments #Leapday and Porwell temperaments #Polypyth

Subgroup: 2.3.5

Comma: 10737418240/10460353203

Mapping: [⟨1 0 -31], ⟨0 1 21]]

POTE generator: ~3/2 = 704.179

Optimal ET sequence: 29, 46, 121, 167, 455bc, 622bbc

Badness: 0.523182

Septendecic

Subgroup: 2.3.5

Comma: [27 -17⟩ = 134217728/129140163

Mapping: [⟨17 27 0], ⟨0 0 1]]

Mapping generators: ~531441/524288, ~5

POTE generator: ~5/4 = 389.193

Optimal ET sequence: 17c, 34

Badness: 0.541384

Vines

See also: Starling temperaments § Vines

Subgroup: 2.3.5

Comma: 156728328192/152587890625

Mapping: [⟨2 7 8], ⟨0 -8 -7]]

POTE generator: ~6/5 = 312.713

Optimal ET sequence: 4, 42, 46, 96, 142

Badness: 0.541831

Emka

See also: Hemimean clan #Emka and Horwell temperaments #Emkay

Subgroup: 2.3.5

Comma: [-50 -8 27⟩

Mapping: [⟨1 14 6], ⟨0 -27 -8]]

POTE generator: ~9765625/7077888 = 551.784

Optimal ET sequence: 37, 50, 87, 137, 224

Badness: 0.544752

Misneb

See also: Marvel temperaments § Misneb

Subgroup: 2.3.5

Comma: 145964630126953125/144115188075855872

Mapping: [⟨1 3 1], ⟨0 -15 14]]

POTE generator: ~16/15 = 113.240

Optimal ET sequence: 21, 32, 53, 392, 445, 498, 551, 604, 657c, 710c, 1367bcc

Badness: 0.609540

Semisept

See also: Hemimean clan § Semisept

Subgroup: 2.3.5

Comma: 782757789696/762939453125

Mapping: [⟨1 12 6], ⟨0 -17 -6]]

POTE generator: ~192/125 = 735.146

Optimal ET sequence: 18, 31, 80, 111

Badness: 0.630576

Kwai

See also: Mirkwai clan § Kwai

Subgroup: 2.3.5

Comma: 5629499534213120/5559060566555523

Mapping: [⟨1 2 16], ⟨0 -1 -33]]

POTE generator: ~3/2 = 702.630

Optimal ET sequence: 41, 111, 152

Badness: 0.636715

Mowgli

See also: Hemimean clan § Mowglic

Subgroup: 2.3.5

Comma: [0 22 -15⟩ = 31381059609/30517578125

Mapping: [⟨1 0 0], ⟨0 15 22]]

POTE generator: ~27/25 = 126.724

Optimal ET sequence: 19, 85c, 104c, 123, 142, 161

Badness: 0.653871

Septimin

See also: Marvel temperaments § Septimin

Subgroup: 2.3.5

Comma: 35595703125/34359738368

Mapping: [⟨1 4 1], ⟨0 -11 6]]

POTE generator: ~75/64 = 263.658

Optimal ET sequence: 9, 23b, 32, 41, 91, 132, 223c, 355bc

Badness: 0.670947

Slurpee

See also: Mint temperaments § Slurpee

Subgroup: 2.3.5

Comma: 177147/156250

Mapping: [⟨1 2 3], ⟨0 -7 -11]]

POTE generator: ~27/25 = 72.742

Optimal ET sequence: 16, 17c, 33

Badness: 0.689274

Pentadecal

See also: Cloudy clan § Pentadecal

Subgroup: 2.3.5

Comma: 30517578125/29386561536

Mapping: [⟨15 0 11], ⟨0 1 1]]

POTE generator: ~3/2 = 702.652

Optimal ET sequence: 15, 45, 60, 75, 135, 210c, 345cc

Badness: 0.692042

Sentinel

See also: Orwellismic temperaments § Sentinel

Subgroup: 2.3.5

Comma: 8968066875/8589934592

Mapping: [⟨1 3 -3], ⟨0 -4 15]]

POTE generator: ~512/405 = 425.474

Optimal ET sequence: 14, 17, 31, 79, 110, 361bc

Badness: 0.723413

Undeka

See also: Keemic temperaments § Undeka

Subgroup: 2.3.5

Comma: 48828125/45349632

Mapping: [⟨11 0 8], ⟨0 1 1]]

POTE generator: ~3/2 = 703.829

Optimal ET sequence: 22, 77c, 99c, 121c

Badness: 0.727539

Kumonga

See also: Starling temperaments § Kumonga

Subgroup: 2.3.5

Comma: 1289945088/1220703125

Mapping: [⟨1 4 4], ⟨0 -13 -9]]

POTE generator: ~144/125 = 222.912

Optimal ET sequence: 16, 27, 43, 70, 183cc

Badness: 0.729609

Semidimi

See also: Ragismic microtemperaments § Semidimi

Subgroup: 2.3.5

Comma: [-12 -73 55⟩

Mapping: [⟨1 36 48], ⟨0 -55 -73]]

POTE generator: ~162/125 = 449.127

Optimal ET sequence: 8, 163, 171, 863, 1034, 1205, 1376, 1547, 1718, 4983, 6701, 8419

Badness: 0.754866

Quasitemp

See also: Keemic temperaments § Quasitemp

Subgroup: 2.3.5

Comma: 6103515625/5804752896

Mapping: [⟨1 5 5], ⟨0 -14 -11]]

POTE generator: ~3125/2592 = 292.702

Optimal ET sequence: 4, 37, 41

Badness: 0.767824

Cypress

See also: Starling temperaments § Cypress

Subgroup: 2.3.5

Comma: 258280326/244140625

Mapping: [⟨1 7 10], ⟨0 -12 -17]]

POTE generator: ~4374/3125 = 541.726

Optimal ET sequence: 11c, 20c, 31, 113c, 144c, 175c, 381bcc

Badness: 0.816635

Chromo

See also: Keemic temperaments § Chromo

Subgroup: 2.3.5

Comma: 1220703125/1146617856

Mapping: [⟨1 1 2], ⟨0 13 7]]

POTE generator: ~25/24 = 53.922

Optimal ET sequence: 22, 45, 67c, 89c

Badness: 0.842835

Tertiosec

See also: Marvel temperaments § Tertiosec

Subgroup: 2.3.5

Comma: [-89 21 24⟩

Mapping: [⟨3 7 5], ⟨0 -8 7]]

POTE generator: ~16/15 = 112.281

Optimal ET sequence: 21, 54, 75, 96, 171

Badness: 0.851003

Fervor

See also: Archytas clan § Fervor

Subgroup: 2.3.5

Comma: 67108864/61509375

Mapping: [⟨1 4 -2], ⟨0 -5 9]]

POTE generator: ~64/45 = 577.705

Optimal ET sequence: 2, 25, 27

Badness: 0.852612

Bohpier

See also: Sensamagic clan § Bohpier

Subgroup: 2.3.5

Comma: 1220703125/1162261467

Mapping: [⟨1 0 0], ⟨0 13 19]]

POTE generator: ~27/25 = 146.476

Optimal ET sequence: 8, 41, 131, 172, 213c

Badness: 0.860534

Elvis

See also: Jubilismic clan § Elvis

Subgroup: 2.3.5

Comma: 36905625/33554432

Mapping: [⟨2 1 10], ⟨0 2 -5]]

POTE generator: ~45/32 = 554.546

Optimal ET sequence: 26, 80bc, 106bc, 132bc

Badness: 0.884000

Vinegar

Subgroup: 2.3.5

Comma: 16000000/14348907

Mapping: [⟨3 0 -5], ⟨0 2 5]]

POTE generator: ~10/9 = 156.861

Optimal ET sequence: 15, 39c, 54, 69b, 84b

Badness: 0.903002

Oolong

See also: Starling temperaments § Oolong

Subgroup: 2.3.5

Comma: 793437161472/762939453125

Mapping: [⟨1 6 7], ⟨0 -17 -18]]

POTE generator: ~6/5 = 311.694

Optimal ET sequence: 23, 27, 50, 77

Badness: 0.942789

Mystery

See also: Mystery and Hemifamity temperaments #Mystery

Subgroup: 2.3.5

Comma: [46 -29⟩

Mapping: [⟨29 46 0], ⟨0 0 1]]

Mapping generators: ~531441/524288, ~5

POTE generator: ~5/4 = 387.408

Optimal ET sequence: 29, 58, 87, 232, 319

Badness: 1.020556

Cotoneum

See also: Hemimage temperaments § Cotoneum

Subgroup: 2.3.5

Comma: [80 -49 -1⟩

Mapping: [⟨1 2 -18], ⟨0 -1 49]]

POTE generator: ~3/2 = 702.315

Optimal ET sequence: 41, 135c, 176, 217, 475, 1167, 1642, 2117b

Badness: 1.240078

Oncle

See also: Gamelismic clan § Oncle

Subgroup: 2.3.5

Comma: 145282683375/137438953472

Mapping: [⟨1 1 6], ⟨0 3 -19]]

POTE generator: ~4096/3645 = 232.521

Optimal ET sequence: 31, 98c, 129c, 160bc, 289bbcc

Badness: 1.244699

Diesic

See also: Orwellismic temperaments § Diesic

Subgroup: 2.3.5

Comma: 10460353203/9765625000

Mapping: [⟨1 2 3], ⟨0 -13 -21]]

POTE generator: ~6561/6250 = 38.571

Optimal ET sequence: 31, 156c, 187c, 218bc, 249bc, 280bc

Badness: 1.344681

Quartemka

See also: Gamelismic clan § Quartemka

Subgroup: 2.3.5

Comma: 1907348632812500/1853020188851841

Mapping: [⟨1 4 6], ⟨0 -21 -32]]

POTE generator: ~27/25 = 137.962

Optimal ET sequence: 26, 61, 87, 287, 374, 461

Badness: 1.381216

Genocchi

Subgroup: 2.3.5

Comma: 2359296/1953125

Mapping: [⟨1 0 2], ⟨0 9 2]]

POTE generator: ~768/625 = 212.444

Optimal ET sequence: 6b, 11b, 17c

Badness: 1.404977

Casablanca

See also: Starling temperaments § Casablanca

Subgroup: 2.3.5

Comma: 20061226008576/19073486328125

Mapping: [⟨1 -7 -14], ⟨0 19 14]]

POTE generator: ~864/625 = 542.208

Optimal ET sequence: 11b, 20b, 31, 73, 104c, 135c

Badness: 1.423736

Archaeotherium

See also: Gamelismic clan § Archaeotherium

Subgroup: 2.3.5

Comma: 597871125/536870912

Mapping: [⟨1 1 5], ⟨0 3 -14]]

POTE generator: ~1215/1024 = 230.351

Optimal ET sequence: 21, 26, 73bc, 99bc

Badness: 1.434855

Newt

See also: Breedsmic temperaments § Newt

Subgroup: 2.3.5

Comma: [95 -57 -2⟩

Mapping: [⟨1 1 19], ⟨0 2 -57]]

POTE generator: ~[47 -28 -1⟩ = 351.114

Optimal ET sequence: 41, 147c, 188, 229, 270, 1121, 1391, 1661, 1931, 3592bc, 5523bbc

Badness: 1.528465

Quasimoha

See also: Breedsmic temperaments § Quasimoha

Subgroup: 2.3.5

Comma: 2353579470675/2199023255552

Mapping: [⟨1 1 9], ⟨0 2 -23]]

POTE generator: ~1048576/885735 = 348.600

Optimal ET sequence: 31, 117c, 148bc, 179bc

Badness: 1.986675

Phillips

See also: Orwellismic temperaments § Phillips

Subgroup: 2.3.5

Comma: 9685512225/8589934592

Mapping: [⟨2 0 33], ⟨0 1 -9]]

POTE generator: ~3/2 = 691.455

Optimal ET sequence: 14, 26, 66b, 92bc, 118bbc

Badness: 2.228904

Triskaidekic

See also: Orwellismic temperaments § Triskaidekic

Subgroup: 2.3.5

Comma: 1220703125/1073741824

Mapping: [⟨13 0 30], ⟨0 1 0]]

POTE generator: ~3/2 = 696.142

Optimal ET sequence: 13, 26, 91c

Badness: 2.241568

Satin

See also: Canousmic temperaments § Satin

Subgroup: 2.3.5

Comma: [104 -70 3⟩

Mapping: [⟨1 2 12], ⟨0 -3 -70]]

POTE generator: ~[-34 23 -1⟩ = 165.907

Optimal ET sequence: 94, 217, 528, 745, 1273

Badness: 2.853049

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