Xenharmonic Wiki

Xenllium

Joined 15 November 2018
Revision as of 14:42, 16 April 2022 by Xenllium (talk | contribs)

Xenllium joined Xenharmonic Wiki on 15 November 2018. The name "Xenllium" is a portmanteau of "Xenharmonic" and "Trillium".

Rank two temperaments which this user proposed names

This user proposed new names for following temperaments.

Proposed in 2019

March 2019

April 2019

Proposed in 2021

March 2021

April 2021

May 2021

June 2021

July 2021

August 2021

Septemper 2021

October 2021

November 2021

December 2021

Proposed in January 2022

2 January 2022

Cobalt (27 & 81)

(Name revised from Enneaplonic on 5 January 2022)
7-limit
Comma list: 126/125, 40353607/40310784
Mapping: [⟨27 43 63 76], ⟨0 -1 -1 -1]]
POTE generator: ~3/2 = 701.244
Vals: 27, 81, 108, 135c, 243c
Badness: 0.173308

11-limit
Comma list: 126/125, 540/539, 21609/21296
Mapping: [⟨27 43 63 76 94], ⟨0 -1 -1 -1 -2]]
POTE generator: ~3/2 = 700.001
Vals: 27e, 81, 108
Badness: 0.078060

13-limit
Comma list: 126/125, 144/143, 196/195, 21609/21296
Mapping: [⟨27 43 63 76 94 100], ⟨0 -1 -1 -1 -2 0]]
POTE generator: ~3/2 = 700.867
Vals: 27e, 81, 108, 243ceef
Badness: 0.057145

Cobaltous (27 & 81)

17-limit
Comma list: 126/125, 144/143, 189/187, 196/195, 1452/1445
Mapping: [⟨27 43 63 76 94 100 111], ⟨0 -1 -1 -1 -2 0 -2]]
POTE generator: ~3/2 = 700.397
Vals: 27eg, 81, 108g
Badness: 0.042106

19-limit
Comma list: 126/125, 144/143, 171/170, 189/187, 196/195, 969/968
Mapping: [⟨27 43 63 76 94 100 111 115], ⟨0 -1 -1 -1 -2 0 -2 -1]]
POTE generator: ~3/2 = 700.429
Vals: 27eg, 81, 108g
Badness: 0.030415

Cobaltic (27 & 108)

17-limit
Comma list: 126/125, 144/143, 196/195, 221/220, 12005/11968
Mapping: [⟨27 43 63 76 94 100 111], ⟨0 -1 -1 -1 -2 0 -3]]
POTE generator: ~3/2 = 701.595
Vals: 27eg, 81gg, 108, 135ce
Badness: 0.047163

19-limit
Comma list: 126/125, 144/143, 196/195, 210/209, 221/220, 1088/1083
Mapping: [⟨27 43 63 76 94 100 111 115], ⟨0 -1 -1 -1 -2 0 -3 -1]]
POTE generator: ~3/2 = 701.673
Vals: 27eg, 81gg, 108, 135ceh
Badness: 0.034176

Cobaltite (27 & 81)

(Name revised from Enneaplonoid on 5 January 2022)
(Name revised from Cobalat on 6 March 2022)
13-limit
Comma list: 126/125, 169/168, 540/539, 975/968
Mapping: [⟨27 43 63 76 94 100], ⟨0 -1 -1 -1 -2 -1]]
POTE generator: ~3/2 = 699.179
Vals: 27e, 54bdef, 81f, 108f
Badness: 0.052732

3 January 2022

Pontoid (171 & 289)

13-limit
Comma list: 364/363, 441/440, 4375/4374, 32805/32768
Mapping: [⟨1 2 -1 19 40 61], ⟨0 -1 8 -39 -88 -138]]
POTE generator: ~3/2 = 701.735
Vals: 53ef, 118f, 171, 289, 460e, 749def
Badness: 0.050188

17-limit
Comma list: 364/363, 441/440, 595/594, 1156/1155, 32805/32768
Mapping: [⟨1 2 -1 19 40 61 29], ⟨0 -1 8 -39 -88 -138 -60]]
POTE generator: ~3/2 = 701.735
Vals: 53ef, 118f, 171, 289, 460e, 749defg
Badness: 0.029383

Grackle (12 & 77)

11-limit
Comma list: 126/125, 176/175, 32805/32768
Mapping: [⟨1 0 15 44 70], ⟨0 1 -8 -26 -42]]
POTE generator: ~3/2 = 701.172
Vals: 12, 53dee, 65e, 77, 89, 166c, 255c
Badness: 0.048887

13-limit
Comma list: 126/125, 176/175, 196/195, 5445/5408
Mapping: [⟨1 0 15 44 70 75], ⟨0 1 -8 -26 -42 -45]]
POTE generator: ~3/2 = 701.226
Vals: 12f, 53deeff, 65ef, 77, 166cf, 243cf
Badness: 0.037859

17-limit
Comma list: 126/125, 176/175, 196/195, 256/255, 2904/2873
Mapping: [⟨1 0 15 44 70 75 -7], ⟨0 1 -8 -26 -42 -45 7]]
POTE generator: ~3/2 = 701.206
Vals: 12f, 53deeff, 65ef, 77, 89f, 166cf
Badness: 0.029864

19-limit
Comma list: 126/125, 171/170, 176/175, 196/195, 209/208, 324/323
Mapping: [⟨1 0 15 44 70 75 -7 9], ⟨0 1 -8 -26 -42 -45 7 -3]]
POTE generator: ~3/2 = 701.217
Vals: 12f, 53deeff, 65ef, 77, 166cf
Badness: 0.023096

Grackloid (12 & 77)

13-limit
Comma list: 126/125, 176/175, 729/728, 1287/1280
Mapping: [⟨1 0 15 44 70 -47], ⟨0 1 -8 -26 -42 32]]
POTE generator: ~3/2 = 701.217
Vals: 12, 53deef, 65e, 77, 166c
Badness: 0.048511

Grack (12 & 65)

11-limit
Comma list: 126/125, 245/242, 896/891
Mapping: [⟨1 0 15 44 51], ⟨0 1 -8 -26 -30]]
POTE generator: ~3/2 = 701.401
Vals: 12, 53d, 65, 77e, 142de
Badness: 0.055908

13-limit
Comma list: 126/125, 196/195, 245/242, 832/825
Mapping: [⟨1 0 15 44 51 75], ⟨0 1 -8 -26 -30 -45]]
POTE generator: ~3/2 = 701.348
Vals: 12f, 53dff, 65f, 77e
Badness: 0.044458

Catahelenic (12 & 65)

13-limit
Comma list: 105/104, 126/125, 245/242, 352/351
Mapping: [⟨1 0 15 44 51 56], ⟨0 1 -8 -26 -30 -33]]
POTE generator: ~3/2 = 701.529
Vals: 12f, 53df, 65
Badness: 0.048524

6 January 2022

Countriton (53 & 157)

5-limit
Comma list: 16777216000000000/16677181699666569
Mapping: [⟨1 6 19], ⟨0 -9 -34]]
POTE generator: ~14348907/10240000 = 588.636
Vals: 53, 263, 316, 369, 422, 475, 528
Badness: 0.255594

7-limit
Comma list: 5120/5103, 7558272/7503125
Mapping: [⟨1 6 19 -7], ⟨0 -9 -34 20]]
POTE generator: ~1728/1225 = 588.582
Vals: 53, 157, 210
Badness: 0.131191

11-limit
Comma list: 176/175, 5120/5103, 41503/41472
Mapping: [⟨1 6 19 -7 27], ⟨0 -9 -34 20 -48]]
POTE generator: ~108/77 = 588.545
Vals: 53, 104c, 157
Badness: 0.084782

13-limit
Comma list: 176/175, 351/350, 847/845, 2197/2187
Mapping: [⟨1 6 19 -7 27 14], ⟨0 -9 -34 20 -48 -21]]
POTE generator: ~108/77 = 588.544
Vals: 53, 104c, 157
Badness: 0.042321

Aufic (53 & 161)

11-limit
Comma list: 540/539, 5632/5625, 72171/71680
Mapping: [⟨1 6 -7 19 -25], ⟨0 -9 19 -33 58]]
POTE generator: ~45/32 = 588.800
Vals: 53, 108, 161, 214, 375
Badness: 0.075149

13-limit
Comma list: 351/350, 540/539, 847/845, 4096/4095
Mapping: [⟨1 6 -7 19 -25 -12], ⟨0 -9 19 -33 58 32]]
POTE generator: ~45/32 = 588.796
Vals: 53, 108, 161, 214, 375, 589be
Badness: 0.039050

8 January 2022

Pajarina (12 & 22)

13-limit
Comma list: 50/49, 64/63, 78/77, 99/98
Mapping: [⟨2 0 11 12 26 36], ⟨0 1 -2 -2 -6 -9]]
POTE generator: ~3/2 = 706.133
Vals: 12f, 22, 34d
Badness: 0.022327

17-limit
Comma list: 50/49, 64/63, 78/77, 85/84, 99/98
Mapping: [⟨2 0 11 12 26 36 5], ⟨0 1 -2 -2 -6 -9 1]]
POTE generator: ~3/2 = 706.410
Vals: 12f, 22, 34d
Badness: 0.018375

9 January 2022

Muggloid (3 & 16)

11-limit
Comma list: 33/32, 126/125, 176/175
Mapping: [⟨1 0 2 5 5], ⟨0 5 1 -7 -5]]
POTE generator: ~5/4 = 377.832
Vals: 3, 10bd, 13bd, 16, 19e
Badness: 0.046970

13-limit
Comma list: 33/32, 65/64, 105/104, 126/125
Mapping: [⟨1 0 2 5 5 4], ⟨0 5 1 -7 -5 -1]]
POTE generator: ~5/4 = 377.838
Vals: 3, 10bd, 13bd, 16, 19e
Badness: 0.028732

14 January 2022

Gracecord (12 & 113)

11-limit
Comma list: 225/224, 441/440, 109375/107811
Mapping: [⟨1 2 -6 -13 -19], ⟨0 -1 20 38 54]]
POTE generator: ~3/2 = 700.885
Vals: 12, 101cd, 113
Badness: 0.066964

13-limit
Comma list: 225/224, 364/363, 441/440, 6125/6084
Mapping: [⟨1 2 -6 -13 -19 -25], ⟨0 -1 20 38 54 69]]
POTE generator: ~3/2 = 700.890
Vals: 12f, 101cdf, 113
Badness: 0.044196

17-limit
Comma list: 225/224, 364/363, 441/440, 595/594, 2000/1989
Mapping: [⟨1 2 -6 -13 -19 -25 7], ⟨0 -1 20 38 54 69 -7]]
POTE generator: ~3/2 = 700.870
Vals: 12f, 101cdf, 113
Badness: 0.036637

19-limit
Comma list: 210/209, 225/224, 324/323, 364/363, 400/399, 665/663
Mapping: [⟨1 2 -6 -13 -19 -25 7 3], ⟨0 -1 20 38 54 69 -7 3]]
POTE generator: ~3/2 = 700.866
Vals: 12f, 101cdf, 113
Badness: 0.027559

15 January 2022

Gaster (111 & 113)

7-limit
Comma list: 16875/16807, 14348907/14336000
Mapping: [⟨1 11 38 37], ⟨0 -19 -72 -69]]
POTE generator: ~800/567 = 594.64130
Vals: 111, 224
Badness: 0.154521

11-limit
Comma list: 540/539, 1375/1372, 14348907/14336000
Mapping: [⟨1 11 38 37 -1], ⟨0 -19 -72 -69 9]]
POTE generator: ~512/363 = 594.63909
Vals: 111, 224, 783d, 1007d, 1231dd
Badness: 0.054060

13-limit
Comma list: 540/539, 729/728, 1375/1372, 2200/2197
Mapping: [⟨1 11 38 37 -1 26], ⟨0 -19 -72 -69 9 -45]]
POTE generator: ~55/39 = 594.63899
Vals: 111, 224, 783df, 1007df, 1231ddf
Badness: 0.024882

17-limit
Comma list: 540/539, 715/714, 729/728, 936/935, 2200/2197
Mapping: [⟨1 11 38 37 -1 26 14], ⟨0 -19 -72 -69 9 -45 -20]]
POTE generator: ~24/17 = 594.63553
Vals: 111, 224, 559dgg
Badness: 0.021436

19-limit
Comma list: 324/323, 400/399, 495/494, 540/539, 715/714, 1445/1444
Mapping: [⟨1 11 38 37 -1 26 14 32], ⟨0 -19 -72 -69 9 -45 -20 -56]]
POTE generator: ~24/17 = 594.63620
Vals: 111, 224
Badness: 0.018370

23-limit
Comma list: 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714
Mapping: [⟨1 11 38 37 -1 26 14 32 7], ⟨0 -19 -72 -69 9 -45 -20 -56 -5]]
POTE generator: ~24/17 = 594.64147
Vals: 111, 224
Badness: 0.017619

29-limit
Comma list: 290/289, 324/323, 400/399, 460/459, 495/494, 529/528, 540/539, 715/714
Mapping: [⟨1 11 38 37 -1 26 14 32 7 -11], ⟨0 -19 -72 -69 9 -45 -20 -56 -5 32]]
POTE generator: ~24/17 = 594.64556
Vals: 111, 113, 224
Badness: 0.016815

31-limit
Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 715/714
Mapping: [⟨1 11 38 37 -1 26 14 32 7 -11 0], ⟨0 -19 -72 -69 9 -45 -20 -56 -5 32 10]]
POTE generator: ~24/17 = 594.64392
Vals: 111, 113, 224
Badness: 0.014790

37-limit
Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 540/539, 667/666, 715/714
Mapping: [⟨1 11 38 37 -1 26 14 32 7 -11 0 -27], ⟨0 -19 -72 -69 9 -45 -20 -56 -5 32 10 65]]
POTE generator: ~24/17 = 594.64383
Vals: 111, 113, 224
Badness: 0.014377

41-limit
Comma list: 290/289, 324/323, 400/399, 435/434, 460/459, 495/494, 528/527, 533/532, 540/539, 575/574, 667/666
Mapping: [⟨1 11 38 37 -1 26 14 32 7 -11 0 -27 45], ⟨0 -19 -72 -69 9 -45 -20 -56 -5 32 10 65 -80]]
POTE generator: ~24/17 = 594.64299
Vals: 111, 113, 224
Badness: 0.012858

20 January 2022

Tuskaloosa (77 & 111)

7-limit
Comma list: 19683/19600, 110592/109375
Mapping: [⟨1 6 1 24], ⟨0 -10 3 -48]]
POTE generator: ~512/375 = 529.772
Vals: 34d, 77, 111, 188, 299cd
Badness: 0.145058

11-limit
Comma list: 176/175, 1331/1323, 19683/19600
Mapping: [⟨1 6 1 24 22], ⟨0 -10 3 -48 -42]]
POTE generator: ~224/165 = 529.749
Vals: 34d, 77, 111, 299cd, 410ccd, 521ccdd
Badness: 0.061773

13-limit
Comma list: 176/175, 351/350, 676/675, 1331/1323
Mapping: [⟨1 6 1 24 22 9], ⟨0 -10 3 -48 -42 -12]]
POTE generator: ~65/48 = 529.747
Vals: 34d, 77, 111, 410ccdf, 521ccddff
Badness: 0.031480

17-limit
Comma list: 176/175, 256/255, 351/350, 676/675, 715/714
Mapping: [⟨1 6 1 24 22 9 1], ⟨0 -10 3 -48 -42 -12 7]]
POTE generator: ~34/25 = 529.742
Vals: 34d, 77, 111
Badness: 0.022765

19-limit
Comma list: 176/175, 256/255, 286/285, 351/350, 363/361, 476/475
Mapping: [⟨1 6 1 24 22 9 1 25], ⟨0 -10 3 -48 -42 -12 7 -47]]
POTE generator: ~19/14 = 529.749
Vals: 34dh, 77, 111
Badness: 0.017924

Muscogee (43 & 77)

7-limit
Comma list: 126/125, 33756345/33554432
Mapping: [⟨1 6 1 -10], ⟨0 -10 3 29]]
POTE generator: ~512/375 = 529.907
Vals: 34, 43, 77, 274c, 351cc, 428ccd
Badness: 0.162021

11-limit
Comma list: 126/125, 176/175, 264627/262144
Mapping: [⟨1 6 1 -10 -12], ⟨0 -10 3 29 35]]
POTE generator: ~224/165 = 529.955
Vals: 34e, 43, 77, 120, 197ce
Badness: 0.077552

13-limit
Comma list: 126/125, 176/175, 676/675, 1287/1280
Mapping: [⟨1 6 1 -10 -12 9], ⟨0 -10 3 29 35 -12]]
POTE generator: ~65/48 = 529.957
Vals: 34e, 43, 77, 120, 197ce
Badness: 0.043352

17-limit
Comma list: 126/125, 176/175, 256/255, 273/272, 676/675
Mapping: [⟨1 6 1 -10 -12 9 1], ⟨0 -10 3 29 35 -12 7]]
POTE generator: ~34/25 = 529.958
Vals: 34e, 43, 77, 120g, 197ceg
Badness: 0.031217

19-limit
Comma list: 126/125, 171/170, 176/175, 256/255, 273/272, 363/361
Mapping: [⟨1 6 1 -10 -12 9 1 -9], ⟨0 -10 3 29 35 -12 7 30]]
POTE generator: ~19/14 = 529.955
Vals: 34e, 43, 77, 120g, 197ceg
Badness: 0.023670

Cohemimabila (25 & 43)

7-limit
Comma list: 3136/3125, 65536/64827
Mapping: [⟨1 -4 4 7], ⟨0 20 -6 -15]]
POTE generator: ~128/105 = 335.182
Vals: 25, 43, 68, 111, 179, 290cd, 469bccdd
Badness: 0.127451

11-limit
Comma list: 176/175, 1375/1372, 16384/16335
Mapping: [⟨1 -4 4 7 11], ⟨0 20 -6 -15 -27]]
POTE generator: ~40/33 = 335.148
Vals: 25, 43, 68, 111
Badness: 0.064164

13-limit
Comma list: 176/175, 640/637, 676/675, 1375/1372
Mapping: [⟨1 -4 4 7 11 -3], ⟨0 20 -6 -15 -27 24]]
POTE generator: ~40/33 = 335.144
Vals: 25, 43, 68, 111
Badness: 0.035463

17-limit
Comma list: 176/175, 256/255, 442/441, 640/637, 715/714
Mapping: [⟨1 -4 4 7 11 -3 8], ⟨0 20 -6 -15 -27 24 -14]]
POTE generator: ~17/14 = 335.145
Vals: 25, 43, 68, 111
Badness: 0.022728

19-limit
Comma list: 176/175, 256/255, 286/285, 363/361, 442/441, 476/475
Mapping: [⟨1 -4 4 7 11 -3 8 9], ⟨0 20 -6 -15 -27 24 -14 -17]]
POTE generator: ~17/14 = 335.151
Vals: 25, 43, 68, 111
Badness: 0.017450

Trimabila (9 & 111)

7-limit
Comma list: 1728/1715, 268435456/263671875
Mapping: [⟨3 8 6 12], ⟨0 -10 3 -11]]
POTE generator: ~7/6 = 270.269
Vals: 9, 102d, 111
Badness: 0.267168

11-limit
Comma list: 176/175, 540/539, 805255/802816
Mapping: [⟨3 8 6 12 12], ⟨0 -10 3 -11 -5]]
POTE generator: ~7/6 = 270.256
Vals: 9, 102d, 111
Badness: 0.081946

13-limit
Comma list: 176/175, 540/539, 676/675, 1573/1568
Mapping: [⟨3 8 6 12 12 15], ⟨0 -10 3 -11 -5 -12]]
POTE generator: ~7/6 = 270.254
Vals: 9, 102df, 111
Badness: 0.040102

17-limit
Comma list: 176/175, 256/255, 540/539, 676/675, 715/714
Mapping: [⟨3 8 6 12 12 15 10], ⟨0 -10 3 -11 -5 -12 7]]
POTE generator: ~7/6 = 270.266
Vals: 9, 102df, 111
Badness: 0.030657

19-limit
Comma list: 176/175, 256/255, 286/285, 363/361, 476/475, 540/539
Mapping: [⟨3 8 6 12 12 15 10 16], ⟨0 -10 3 -11 -5 -12 7 -10]]
POTE generator: ~7/6 = 270.260
Vals: 9, 102dfh, 111
Badness: 0.022851

22 January 2022

Immune (29 & 34)

7-limit
Comma list: 225/224, 781250/750141
Mapping: [⟨1 2 5 9], ⟨0 -2 -13 -30]]
POTE generator: ~567/500 = 247.583
Vals: 29, 34d, 63
Badness: 0.144835

11-limit
Comma list: 100/99, 225/224, 1331/1323
Mapping: [⟨1 2 5 9 8], ⟨0 -2 -13 -30 -22]]
POTE generator: ~140/121 = 247.589
Vals: 29, 34d, 63
Badness: 0.050990

13-limit
Comma list: 100/99, 169/168, 225/224, 275/273
Mapping: [⟨1 2 5 9 8 7], ⟨0 -2 -13 -30 -22 -16]]
POTE generator: ~15/13 = 247.593
Vals: 29, 34d, 63
Badness: 0.028521

Meantritone (2 & 31)

7-limit
Comma list: 81/80, 16875/16807
Mapping: [⟨1 4 12 12], ⟨0 -5 -20 -19]]
POTE generator: ~7/5 = 580.766
Vals: 2cd, 29cd, 31
Badness: 0.082239

11-limit
Comma list: 81/80, 99/98, 2541/2500
Mapping: [⟨1 4 12 12 17], ⟨0 -5 -20 -19 -28]]
POTE generator: ~7/5 = 580.647
Vals: 2cde, 29cde, 31
Badness: 0.042869

23 January 2022

Aurora (13 & 21)

7-limit
Comma list: 1029/1000, 28672/28125
Mapping: [⟨1 -3 5 7], ⟨0 12 -7 -11]]
POTE generator: ~21/16 = 458.348
Vals: 8bd, 13, 21, 34, 55, 89d, 144cdd
Badness: 0.242134

11-limit
Comma list: 56/55, 1029/1000, 5632/5625
Mapping: [⟨1 -3 5 7 5], ⟨0 12 -7 -11 -4]]
POTE generator: ~21/16 = 458.413
Vals: 8bd, 13, 21, 34, 55e, 89dee
Badness: 0.116654

13-limit
Comma list: 56/55, 105/104, 512/507, 637/625
Mapping: [⟨1 -3 5 7 5 6], ⟨0 12 -7 -11 -4 -6]]
POTE generator: ~13/10 = 458.444
Vals: 8bd, 13, 21, 34, 55e, 89deef
Badness: 0.066541

17-limit
Comma list: 56/55, 105/104, 170/169, 221/220, 375/374
Mapping: [⟨1 -3 5 7 5 6 6], ⟨0 12 -7 -11 -4 -6 -5]]
POTE generator: ~13/10 = 458.444
Vals: 8bd, 13, 21, 34, 55e, 89deef
Badness: 0.044148

19-limit
Comma list: 56/55, 76/75, 105/104, 170/169, 190/187, 221/220
Mapping: [⟨1 -3 5 7 5 6 6 5], ⟨0 12 -7 -11 -4 -6 -5 -2]]
POTE generator: ~13/10 = 458.444
Vals: 8bd, 13, 21, 34, 55eh, 89deefhh
Badness: 0.037621

23-limit
Comma list: 56/55, 76/75, 105/104, 161/160, 170/169, 190/187, 221/220
Mapping: [⟨1 -3 5 7 5 6 6 5 3], ⟨0 12 -7 -11 -4 -6 -5 -2 4]]
POTE generator: ~13/10 = 458.430
Vals: 8bd, 13, 21, 34, 55eh, 89deefhh
Badness: 0.030236

29-limit
Comma list: 56/55, 76/75, 105/104, 116/115, 145/143, 161/160, 170/169, 221/220
Mapping: [⟨1 -3 5 7 5 6 6 5 3 6], ⟨0 12 -7 -11 -4 -6 -5 -2 4 -3]]
POTE generator: ~13/10 = 458.426
Vals: 8bd, 13, 21, 34, 55eh, 89deefhh
Badness: 0.025201

26 January 2022

Leapweeker (17 & 46)

17-limit
Comma list: 136/135, 169/168, 221/220, 245/243, 364/363
Mapping: [⟨1 2 -8 9 8 7 -5], ⟨0 -1 25 -15 -11 -8 22]]
POTE generator: ~3/2 = 704.537
Vals: 17, 29c, 46, 109g, 155fg, 264bfgg
Badness: 0.026774

29 January 2022

Interaufo (159 & 161)

7-limit
Comma list: 235298/234375, 33756345/33554432
Mapping: [⟨1 15 -26 -28], ⟨0 -27 57 62]]
POTE generator: ~10125/7168 = 596.247
Vals: 2, 157cd, 159, 320, 799dd, 1119bdd
Badness: 0.342890

11-limit
Comma list: 441/440, 102487/102400, 235298/234375
Mapping: [⟨1 15 -26 -28 -3], ⟨0 -27 57 62 13]]
POTE generator: ~512/363 = 596.248
Vals: 2, 157cd, 159, 320
Badness: 0.080833

13-limit
Comma list: 441/440, 1001/1000, 6656/6655, 26411/26364
Mapping: [⟨1 15 -26 -28 -3 -44], ⟨0 -27 57 62 13 96]]
POTE generator: ~55/39 = 596.248
Vals: 2f, 157cdf, 159, 320
Badness: 0.041506

17-limit
Comma list: 441/440, 833/832, 1001/1000, 1089/1088, 8624/8619
Mapping: [⟨1 15 -26 -28 -3 -44 18], ⟨0 -27 57 62 13 96 -28]]
POTE generator: ~24/17 = 596.250
Vals: 2f, 157cdf, 159, 320
Badness: 0.028653

19-limit
Comma list: 441/440, 513/512, 833/832, 969/968, 1001/1000, 1521/1520
Mapping: [⟨1 15 -26 -28 -3 -44 18 -36], ⟨0 -27 57 62 13 96 -28 81]]
POTE generator: ~24/17 = 596.250
Vals: 2fh, 157cdfh, 159, 161, 320
Badness: 0.020593

23-limit
Comma list: 441/440, 513/512, 529/528, 833/832, 897/896, 969/968, 1001/1000
Mapping: [⟨1 15 -26 -28 -3 -44 18 -36 8], ⟨0 -27 57 62 13 96 -28 81 -7]]
POTE generator: ~24/17 = 596.249
Vals: 2fh, 157cdfh, 159, 320i
Badness: 0.017242

29-limit
Comma list: 441/440, 513/512, 529/528, 551/550, 609/608, 783/782, 833/832, 969/968
Mapping: [⟨1 15 -26 -28 -3 -44 18 -36 8 -18], ⟨0 -27 57 62 13 96 -28 81 -7 46]]
POTE generator: ~24/17 = 596.249
Vals: 2fh, 157cdfhj, 159, 320ij
Badness: 0.014267

Helena (53 & 118)

13-limit
Comma list: 169/168, 325/324, 385/384, 3146/3125
Mapping: [⟨1 0 15 -59 51 -28], ⟨0 1 -8 39 -30 20]]
POTE generator: ~3/2 = 701.740
Vals: 53, 118f, 171ef
Badness: 0.036281

17-limit
Comma list: 169/168, 273/272, 325/324, 385/384, 3146/3125
Mapping: [⟨1 0 15 -59 51 -28 -91], ⟨0 1 -8 39 -30 20 60]]
POTE generator: ~3/2 = 701.730
Vals: 53, 118f, 171ef, 289eff
Badness: 0.030688

19-limit
Comma list: 169/168, 273/272, 286/285, 325/324, 385/384, 627/625
Mapping: [⟨1 0 15 -59 51 -28 -91 9], ⟨0 1 -8 39 -30 20 60 -3]]
POTE generator: ~3/2 = 701.729
Vals: 53, 118f, 171ef, 289effh
Badness: 0.021892

Proposed in February 2022

1 February 2022

Cohendecatonic (22 & 121)

11-limit
Comma list: 540/539, 896/891, 4375/4356
Mapping: [⟨11 17 26 30 39], ⟨0 1 -1 2 -2]]
POTE generator: ~3/2 = 703.686
Vals: 22, 77e, 99e, 121, 220e
Badness: 0.038042

13-limit
Comma list: 352/351, 364/363, 540/539, 625/624
Mapping: [⟨11 17 26 30 39 43], ⟨0 1 -1 2 -2 -5]]
POTE generator: ~3/2 = 703.888
Vals: 22, 77eff, 99ef, 121, 341bdeeff
Badness: 0.036112

17-limit
Comma list: 256/255, 352/351, 364/363, 375/374, 540/539
Mapping: [⟨11 17 26 30 39 43 45], ⟨0 1 -1 2 -2 -5 0]]
POTE generator: ~3/2 = 703.877
Vals: 22, 77eff, 99ef, 121, 220efg, 341bdeeffgg
Badness: 0.022590

2 February 2022

Nessa (15 & 84)

11-limit
Comma list: 441/440, 1344/1331, 4375/4356
Mapping: [⟨3 2 5 10 10], ⟨0 7 5 -4 1]]
POTE generator: ~35/32 = 157.539
Vals: 15, 54b, 69, 84, 99e
Badness: 0.048836

13-limit
Comma list: 144/143, 364/363, 441/440, 625/624
Mapping: [⟨3 2 5 10 10 6], ⟨0 7 5 -4 1 13]]
POTE generator: ~35/32 = 157.429
Vals: 15, 54bf, 69, 84, 99ef, 183ef, 282eeff
Badness: 0.037409

11 February 2022

Splendecic (10 & 50)

(Name revised from Splendic on 12 February 2022)
11-limit
Comma list: 225/224, 1617/1600, 2401/2376
Mapping: [⟨10 0 39 28 82], ⟨0 1 -1 0 -3]]
POTE generator: ~3/2 = 698.518
Vals: 10e, 30bee, 40e, 50, 60e, 110de
Badness: 0.059802

13-limit
Comma list: 105/104, 196/195, 1001/1000, 1188/1183
Mapping: [⟨10 0 39 28 82 37], ⟨0 1 -1 0 -3 0]]
POTE generator: ~3/2 = 698.365
Vals: 10e, 30bee, 40e, 50, 60e, 110de
Badness: 0.037989

17-limit
Comma list: 105/104, 170/169, 196/195, 289/288, 375/374
Mapping: [⟨10 0 39 28 82 37 25], ⟨0 1 -1 0 -3 0 1]]
POTE generator: ~3/2 = 698.375
Vals: 10e, 30beeg, 40e, 50, 60e, 110deg
Badness: 0.026050

Prodecic (10 & 50)

(Name revised from Prodigic on 12 February 2022)
11-limit
Comma list: 225/224, 441/440, 5929/5832
Mapping: [⟨10 0 39 28 -13], ⟨0 1 -1 0 3]]
POTE generator: ~3/2 = 700.210
Vals: 10, 40ee, 50e, 60e
Badness: 0.066600

13-limit
Comma list: 105/104, 196/195, 275/273, 5929/5832
Mapping: [⟨10 0 39 28 -13 37], ⟨0 1 -1 0 3 0]]
POTE generator: ~3/2 = 700.503
Vals: 10, 40ee, 50e, 60e
Badness: 0.041788

17-limit
Comma list: 105/104, 154/153, 170/169, 196/195, 289/288
Mapping: [⟨10 0 39 28 -13 37 25], ⟨0 1 -1 0 3 0 1]]
POTE generator: ~3/2 = 700.474
Vals: 10, 40ee, 50e, 60e
Badness: 0.027590

12 February 2022

Semimeantone (12 & 62)

13-limit
Comma list: 81/80, 99/98, 126/125, 847/845
Mapping: [⟨2 3 4 4 4 4], ⟨0 1 4 10 18 21]]
POTE generator: ~3/2 = 697.005
Vals: 12f, 50eff, 62, 136b, 198bef, 334bbeef
Badness: 0.040668

17-limit
Comma list: 81/80, 99/98, 126/125, 221/220, 289/288
Mapping: [⟨2 3 4 4 4 4 8], ⟨0 1 4 10 18 21 1]]
POTE generator: ~3/2 = 696.927
Vals: 12f, 50eff, 62, 136bg, 198befgg
Badness: 0.031491

19-limit
Comma list: 81/80, 99/98, 126/125, 153/152, 209/208, 221/220
Mapping: [⟨2 3 4 4 4 4 8 8], ⟨0 1 4 10 18 21 1 3]]
POTE generator: ~3/2 = 696.906
Vals: 12f, 50eff, 62
Badness: 0.024206

Keenic (22 & 34)

13-limit
Comma list: 91/90, 100/99, 352/351, 385/384
Mapping: [⟨2 3 5 4 8 9], ⟨0 1 -2 9 -6 -9]]
POTE generator: ~3/2 = 707.257
Vals: 22, 34, 56
Badness: 0.040351

17-limit
Comma list: 91/90, 100/99, 136/135, 154/153, 256/255
Mapping: [⟨2 3 5 4 8 9 8], ⟨0 1 -2 9 -6 -9 1]]
POTE generator: ~3/2 = 707.252
Vals: 22, 34, 56
Badness: 0.026917

19 February 2022

Warrior (46 & 111)

7-limit
Comma list: 5120/5103, 78732/78125
Mapping: [⟨1 -1 -1 15], ⟨0 7 9 -33]]
POTE generator: ~162/125 = 443.289
Vals: 46, 111, 157, 268cd
Badness: 0.118239

11-limit
Comma list: 176/175, 1331/1323, 5120/5103
Mapping: [⟨1 -1 -1 15 9], ⟨0 7 9 -33 -15]]
POTE generator: ~128/99 = 443.274
Vals: 46, 65d, 111, 268cd, 379cdd
Badness: 0.046383

13-limit
Comma list: 176/175, 351/350, 847/845, 1331/1323
Mapping: [⟨1 -1 -1 15 9 17], ⟨0 7 9 -33 -15 -36]]
POTE generator: ~84/65 = 443.270
Vals: 46, 65d, 111, 268cd, 379cddf
Badness: 0.028735

17-limit
Comma list: 176/175, 256/255, 351/350, 442/441, 715/714
Mapping: [⟨1 -1 -1 15 9 17 10], ⟨0 7 9 -33 -15 -36 -16]]
POTE generator: ~22/17 = 443.270
Vals: 46, 65d, 111, 268cdg, 379cddfg
Badness: 0.018105

Trisensory (27 & 84)

7-limit
Comma list: 1728/1715, 78732/78125
Mapping: [⟨3 4 6 8], ⟨0 7 9 4]]
POTE generator: ~36/35 = 43.147
Vals: 27, 57, 84, 111, 195d, 306d
Badness: 0.089740

11-limit
Comma list: 176/175, 540/539, 78732/78125
Mapping: [⟨3 4 6 8 8], ⟨0 7 9 4 22]]
POTE generator: ~36/35 = 43.292
Vals: 27e, 84e, 111
Badness: 0.058413

13-limit
Comma list: 176/175, 351/350, 540/539, 9295/9261
Mapping: [⟨3 4 6 8 8 11], ⟨0 7 9 4 22 1]]
POTE generator: ~36/35 = 43.288
Vals: 27e, 84e, 111
Badness: 0.034829

17-limit
Comma list: 176/175, 351/350, 442/441, 540/539, 715/714
Mapping: [⟨3 4 6 8 8 11 10], ⟨0 7 9 4 22 1 21]]
POTE generator: ~36/35 = 43.276
Vals: 27eg, 84e, 111
Badness: 0.024120

19-limit
Comma list: 176/175, 286/285, 324/323, 351/350, 400/399, 476/475
Mapping: [⟨3 4 6 8 8 11 10 12], ⟨0 7 9 4 22 1 21 7]]
POTE generator: ~36/35 = 43.292
Vals: 27eg, 84e, 111
Badness: 0.018466

20 February 2022

Bisensi (8 & 38)

11-limit
Comma list: 121/120, 126/125, 245/243
Mapping: [⟨2 5 7 9 9], ⟨0 -7 -9 -13 -8]]
POTE generator: ~11/10 = 156.692
Vals: 8d, 38d, 46, 176dde, 222cdde, 268cddee
Badness: 0.041723

13-limit
Comma list: 91/90, 121/120, 126/125, 169/168
Mapping: [⟨2 5 7 9 9 10], ⟨0 -7 -9 -13 -8 -10]]
POTE generator: ~11/10 = 156.725
Vals: 8d, 38df, 46
Badness: 0.026339

25 February 2022

Browser (103 & 111)

7-limit
Comma list: 16875/16807, 78732/78125
Mapping: [⟨1 6 8 10], ⟨0 -35 -45 -57]]
POTE generator: ~49/45 = 151.399
Vals: 103, 111, 214
Badness: 0.180645

11-limit
Comma list: 540/539, 1375/1372, 78732/78125
Mapping: [⟨1 6 8 10 8], ⟨0 -35 -45 -57 -36]]
POTE generator: ~12/11 = 151.405
Vals: 103, 214
Badness: 0.057634

13-limit
Comma list: 351/350, 540/539, 847/845, 1375/1372
Mapping: [⟨1 6 8 10 8 9], ⟨0 -35 -45 -57 -36 -42]]
POTE generator: ~12/11 = 151.403
Vals: 103, 111, 214
Badness: 0.028822

17-limit
Comma list: 351/350, 540/539, 561/560, 715/714, 847/845
Mapping: [⟨1 6 8 10 8 9 8], ⟨0 -35 -45 -57 -36 -42 -31]]
POTE generator: ~12/11 = 151.397
Vals: 103, 111, 214
Badness: 0.020384

19-limit
Comma list: 324/323, 351/350, 456/455, 495/494, 540/539, 715/714
Mapping: [⟨1 6 8 10 8 9 8 18], ⟨0 -35 -45 -57 -36 -42 -31 -109]]
POTE generator: ~12/11 = 151.396
Vals: 103h, 111, 214
Badness: 0.017570

Grazer (113 & 121)

7-limit
Comma list: 16875/16807, 1071875/1062882
Mapping: [⟨1 -3 -4 -5], ⟨0 37 51 63]]
POTE generator: ~49/45 = 148.719
Vals: 113, 121, 234
Badness: 0.217166

11-limit
Comma list: 540/539, 1375/1372, 218750/216513
Mapping: [⟨1 -3 -4 -5 -1], ⟨0 37 51 63 36]]
POTE generator: ~12/11 = 148.729
Vals: 113, 121, 234, 355e, 589cee
Badness: 0.076062

13-limit
Comma list: 325/324, 364/363, 540/539, 2200/2197
Mapping: [⟨1 -3 -4 -5 -1 -2], ⟨0 37 51 63 36 46]]
POTE generator: ~12/11 = 148.729
Vals: 113, 121, 234, 355e, 589cee
Badness: 0.036248

17-limit
Comma list: 325/324, 364/363, 540/539, 595/594, 2000/1989
Mapping: [⟨1 -3 -4 -5 -1 -2 0], ⟨0 37 51 63 36 46 33]]
POTE generator: ~12/11 = 148.735
Vals: 113, 121, 234g, 355eg
Badness: 0.025410

19-limit
Comma list: 325/324, 364/363, 400/399, 540/539, 595/594, 665/663
Mapping: [⟨1 -3 -4 -5 -1 -2 0 4], ⟨0 37 51 63 36 46 33 2]]
POTE generator: ~12/11 = 148.727
Vals: 113, 121, 234g, 355eg, 589ceegg
Badness: 0.022574

26 February 2022

Quadrasruta (58 & 68)

7-limit
Comma list: 2048/2025, 2401/2400
Mapping: [⟨2 0 11 8], ⟨0 4 -8 -3]]
POTE generator: ~15/14 = 123.784
Vals: 10, 38c, 48c, 58, 68, 126
Badness: 0.073569

11-limit
Comma list: 176/175, 896/891, 2401/2400
Mapping: [⟨2 0 11 8 22], ⟨0 4 -8 -3 -19]]
POTE generator: ~15/14 = 123.882
Vals: 58, 126, 184c, 310bccde
Badness: 0.049018

13-limit
Comma list: 176/175, 196/195, 512/507, 676/675
Mapping: [⟨2 0 11 8 22 9], ⟨0 4 -8 -3 -19 -2]]
POTE generator: ~14/13 = 123.901
Vals: 58, 126f, 184cff
Badness: 0.028463

17-limit
Comma list: 136/135, 170/169, 176/175, 196/195, 256/255
Mapping: [⟨2 0 11 8 22 9 5], ⟨0 4 -8 -3 -19 -2 4]]
POTE generator: ~14/13 = 123.838
Vals: 58, 126f
Badness: 0.023820

Quadrafourths (10 & 58)

11-limit
Comma list: 243/242, 441/440, 2048/2025
Mapping: [⟨2 0 11 8 -1], ⟨0 4 -8 -3 10]]
POTE generator: ~15/14 = 123.983
Vals: 10, 38c, 48c, 58
Badness: 0.049114

13-limit
Comma list: 144/143, 196/195, 243/242, 676/675
Mapping: [⟨2 0 11 8 -1 9], ⟨0 4 -8 -3 10 -2]]
POTE generator: ~14/13 = 123.972
Vals: 10, 38c, 48c, 58
Badness: 0.026743

17-limit
Comma list: 136/135, 144/143, 170/169, 196/195, 221/220
Mapping: [⟨2 0 11 8 -1 9 5], ⟨0 4 -8 -3 10 -2 4]]
POTE generator: ~14/13 = 123.923
Vals: 10, 38c, 48c, 58, 126eef, 184ceeff
Badness: 0.022239

27 February 2022

Pajarita (10 & 12)

13-limit
Comma list: 40/39, 50/49, 64/63, 66/65
Mapping: [⟨2 0 11 12 26 17], ⟨0 1 -2 -2 -6 -3]]
POTE generator: ~3/2 = 707.450
Vals: 10e, 12f, 22f
Badness: 0.022677

17-limit
Comma list: 40/39, 50/49, 64/63, 66/65, 85/84
Mapping: [⟨2 0 11 12 26 17 5], ⟨0 1 -2 -2 -6 -3 1]]
POTE generator: ~3/2 = 707.947
Vals: 10e, 12f, 22f
Badness: 0.019007

Proposed in March 2022

4 March 2022

Catamite (46 & 99)

11-limit
Comma list: 441/440, 896/891, 4375/4374
Mapping: [⟨1 3 6 -2 -7], ⟨0 -5 -13 17 37]]
POTE generator: ~128/105 = 339.340
Vals: 46, 99e, 145, 244e
Badness: 0.040976

13-limit
Comma list: 196/195, 352/351, 364/363, 4375/4374
Mapping: [⟨1 3 6 -2 -7 -11], ⟨0 -5 -13 17 37 52]]
POTE generator: ~128/105 = 339.313
Vals: 46, 99ef, 145
Badness: 0.034215

17-limit
Comma list: 196/195, 256/255, 352/351, 364/363, 1156/1155
Mapping: [⟨1 3 6 -2 -7 -11 -1], ⟨0 -5 -13 17 37 52 18]]
POTE generator: ~17/14 = 339.313
Vals: 46, 99ef, 145
Badness: 0.021193

19-limit
Comma list: 196/195, 256/255, 343/342, 352/351, 364/363, 476/475
Mapping: [⟨1 3 6 -2 -7 -11 -1 -13], ⟨0 -5 -13 17 37 52 18 61]]
POTE generator: ~17/14 = 339.325
Vals: 46, 99ef, 145
Badness: 0.018864

6 March 2022

Hemikwai (82 & 111)

13-limit
Comma list: 540/539, 676/675, 1375/1372, 5120/5103
Mapping: [⟨1 2 16 14 -4 18], ⟨0 -2 -66 -54 36 -69]]
POTE generator: ~15/13 = 248.686
Vals: 82, 111, 193, 304d
Badness: 0.044108

17-limit
Comma list: 442/441, 540/539, 676/675, 715/714, 5120/5103
Mapping: [⟨1 2 16 14 -4 18 13], ⟨0 -2 -66 -54 36 -69 -43]]
POTE generator: ~15/13 = 248.686
Vals: 82, 111, 193, 304d
Badness: 0.025806

19-limit
Comma list: 400/399, 442/441, 540/539, 676/675, 715/714, 1445/1444
Mapping: [⟨1 2 16 14 -4 18 13 20], ⟨0 -2 -66 -54 36 -69 -43 -76]]
POTE generator: ~15/13 = 248.687
Vals: 82, 111, 193, 304dh
Badness: 0.019146

9 March 2022

Yarm (79 & 80)

11-limit
Comma list: 1331/1323, 1728/1715, 4000/3969
Mapping: [⟨1 2 3 3 4], ⟨0 -33 -54 -15 -43]]
POTE generator: ~100/99 = 15.046
Vals: 79, 80, 239dd, 319dd
Badness: 0.099950

13-limit
Comma list: 169/168, 325/324, 640/637, 1331/1323
Mapping: [⟨1 2 3 3 4 4], ⟨0 -33 -54 -15 -43 -24]]
POTE generator: ~100/99 = 15.060
Vals: 79, 80, 159d, 239dd
Badness: 0.061645

17-limit
Comma list: 169/168, 325/324, 561/560, 640/637, 850/847
Mapping: [⟨1 2 3 3 4 4 4], ⟨0 -33 -54 -15 -43 -24 7]]
POTE generator: ~100/99 = 15.066
Vals: 79, 80, 159d, 239dd
Badness: 0.046718

10 March 2022

Cohedim (8bce & 12)

(Proposed name for disambiguation of diminished extension)
11-limit
Comma list: 36/35, 50/49, 125/121
Mapping: [⟨4 7 10 12 15], ⟨0 -2 -2 -2 -3]]
POTE generator: ~12/11 = 101.679
Vals: 8bce, 12
Badness: 0.054965

13-limit
Comma list: 36/35, 50/49, 66/65, 125/121
Mapping: [⟨4 7 10 12 15 16], ⟨0 -2 -2 -2 -3 -3]]
POTE generator: ~12/11 = 102.299
Vals: 8bcef, 12f
Badness: 0.041707

12 March 2022

October (41 & 68)

11-limit
Comma list: 245/243, 385/384, 1375/1372
Mapping: [⟨1 1 1 2 5], ⟨0 8 18 11 -21]]
POTE generator: ~21/20 = 88.035
Vals: 27, 41, 68, 109, 150, 259
Badness: 0.039643

13-limit
Comma list: 196/195, 245/243, 275/273, 385/384
Mapping: [⟨1 1 1 2 5 4], ⟨0 8 18 11 -21 -4]]
POTE generator: ~21/20 = 88.075
Vals: 27, 41, 68, 109f
Badness: 0.031136

17-limit
Comma list: 154/153, 170/169, 196/195, 245/243, 256/255
Mapping: [⟨1 1 1 2 5 4 6], ⟨0 8 18 11 -21 -4 -26]]
POTE generator: ~21/20 = 88.104
Vals: 27, 41, 68, 109f
Badness: 0.026833

19-limit
Comma list: 154/153, 170/169, 190/189, 196/195, 209/208, 245/243
Mapping: [⟨1 1 1 2 5 4 6 3], ⟨0 8 18 11 -21 -4 -26 17]]
POTE generator: ~19/18 = 88.113
Vals: 27, 41, 68, 109f, 177ffg
Badness: 0.020511

16 March 2022

Dichotomic (3 & 7)

11-limit
Comma list: 22/21, 25/24, 33/32
Mapping: [⟨1 1 2 4 4], ⟨0 2 1 -4 -2]]
POTE generator: ~5/4 = 354.073
Vals: 3, 7, 10e, 17e
Badness: 0.031719

13-limit
Comma list: 22/21, 25/24, 33/32, 40/39
Mapping: [⟨1 1 2 4 4 4], ⟨0 2 1 -4 -2 -1]]
POTE generator: ~5/4 = 354.313
Vals: 3, 7, 10e, 17e
Badness: 0.022741

19 March 2022

Seminar (46 & 296)

11-limit
Comma list: 3025/3024, 4375/4374, 2100875/2097152
Mapping: [⟨2 -2 -6 12 13], ⟨0 17 35 -21 -20]]
POTE generator: ~10/9 = 182.457
Vals: 46, 204c, 250, 296, 342
Badness: 0.026808

Chromat (99 & 159)

11-limit
Comma list: 441/440, 4375/4356, 10976/10935
Mapping: [⟨3 4 5 6 6], ⟨0 5 13 16 29]]
POTE generator: ~28/27 = 60.430
Vals: 60e, 99e, 159, 258, 417d
Badness: 0.050379

13-limit
Comma list: 364/363, 441/440, 625/624, 10976/10935
Mapping: [⟨3 4 5 6 6 4], ⟨0 5 13 16 29 47]]
POTE generator: ~28/27 = 60.428
Vals: 99ef, 159, 258, 417d
Badness: 0.046006

17-limit
Comma list: 364/363, 375/374, 441/440, 595/594, 3773/3757
Mapping: [⟨3 4 5 6 6 4 10], ⟨0 5 13 16 29 47 15]]
POTE generator: ~28/27 = 60.438
Vals: 99ef, 159, 258, 417dg
Badness: 0.031678

Catachrome (60 & 99)

13-limit
Comma list: 325/324, 441/440, 1001/1000, 10976/10935
Mapping: [⟨3 4 5 6 6 12], ⟨0 5 13 16 29 -6]]
POTE generator: ~28/27 = 60.378
Vals: 60e, 99e, 159
Badness: 0.043844

17-limit
Comma list: 273/272, 325/324, 375/374, 441/440, 4928/4913
Mapping: [⟨3 4 5 6 6 12 10], ⟨0 5 13 16 29 -6 15]]
POTE generator: ~28/27 = 60.377
Vals: 60e, 99e, 159
Badness: 0.030218

Chromic (60 & 99)

13-limit
Comma list: 196/195, 352/351, 729/728, 1875/1859
Mapping: [⟨3 4 5 6 6 9], ⟨0 5 13 16 29 14]]
POTE generator: ~27/26 = 60.456
Vals: 60e, 99ef, 159f, 258ff
Badness: 0.049857

17-limit
Comma list: 170/169, 196/195, 352/351, 375/374, 595/594
Mapping: [⟨3 4 5 6 6 9 10], ⟨0 5 13 16 29 14 15]]
POTE generator: ~27/26 = 60.459
Vals: 60e, 99ef, 159f, 258ff
Badness: 0.031043

20 March 2022

Trinity (152 & 159)

7-limit
Comma list: 703125/702464, 1600000/1594323
Mapping: [⟨1 8 19 46], ⟨0 -15 -39 -101]]
POTE generator: ~168/125 = 513.178
Vals: 152, 311, 463, 774
Badness: 0.119453

11-limit
Comma list: 3025/3024, 4000/3993, 19712/19683
Mapping: [⟨1 8 19 46 18], ⟨0 -15 -39 -101 -34]]
POTE generator: ~121/90 = 513.177
Vals: 152, 311, 463, 774, 1237e
Badness: 0.031296

13-limit
Comma list: 625/624, 1575/1573, 2080/2079, 13720/13689
Mapping: [⟨1 8 19 46 18 64], ⟨0 -15 -39 -101 -34 -141]]
POTE generator: ~35/26 = 513.182
Vals: 152f, 311
Badness: 0.026418

17-limit
Comma list: 595/594, 625/624, 833/832, 1575/1573, 8624/8619
Mapping: [⟨1 8 19 46 18 64 -22], ⟨0 -15 -39 -101 -34 -141 61]]
POTE generator: ~35/26 = 513.186
Vals: 152f, 159, 311, 1092cdg, 1403cdg, 1714cdeg
Badness: 0.025588

19-limit
Comma list: 595/594, 625/624, 833/832, 969/968, 1216/1215, 1575/1573
Mapping: [⟨1 8 19 46 18 64 -22 53], ⟨0 -15 -39 -101 -34 -141 61 -114]]
POTE generator: ~35/26 = 513.185
Vals: 152f, 159, 311, 1403cdgh, 1714cdegh, 2025cdefgghh, 2336bccdefgghh
Badness: 0.018412

23-limit
Comma list: 595/594, 625/624, 760/759, 833/832, 875/874, 969/968, 1105/1104
Mapping: [⟨1 8 19 46 18 64 -22 53 49], ⟨0 -15 -39 -101 -34 -141 61 -114 -104]]
POTE generator: ~35/26 = 513.185
Vals: 152f, 159, 311, 1092cdgh, 1403cdgh, 1714cdeghi
Badness: 0.014343

29-limit
Comma list: 595/594, 625/624, 760/759, 784/783, 833/832, 875/874, 969/968, 1045/1044
Mapping: [⟨1 8 19 46 18 64 -22 53 49 72], ⟨0 -15 -39 -101 -34 -141 61 -114 -104 -157]]
POTE generator: ~35/26 = 513.186
Vals: 152fj, 159, 311, 781dh, 1092cdgh, 1403cdgh
Badness: 0.012038

21 March 2022

Poseidon (68 & 274)

11-limit
Comma list: 2401/2400, 9801/9800, 9453125/9437184
Mapping: [⟨2 2 4 5 8], ⟨0 40 22 21 -37]]
POTE generator: ~99/98 = 17.545
Vals: 68, 206b, 274, 342
Badness: 0.041727

23 March 2022

Salacia (103 & 171)

11-limit
Comma list: 243/242, 441/440, 9765625/9732096
Mapping: [⟨1 21 13 13 52], ⟨0 -40 -22 -21 -100]]
POTE generator: ~7/5 = 582.478
Vals: 68e, 103, 171, 274, 719be, 993bcde, 1267bbcde
Badness: 0.069721

13-limit
Comma list: 243/242, 441/440, 625/624, 2200/2197
Mapping: [⟨1 21 13 13 52 27], ⟨0 -40 -22 -21 -100 -48]]
POTE generator: ~7/5 = 582.477
Vals: 68e, 103, 171, 274, 719be, 993bcde
Badness: 0.034977

17-limit
Comma list: 243/242, 375/374, 441/440, 625/624, 2200/2197
Mapping: [⟨1 21 13 13 52 27 7], ⟨0 -40 -22 -21 -100 -48 -6]]
POTE generator: ~7/5 = 582.475
Vals: 68e, 103, 171, 274, 445e, 719be, 1164bcdeef
Badness: 0.024577

Gammy (34 & 103)

7-limit
Comma list: 225/224, 94143178827/91913281250
Mapping: [⟨1 1 2 1], ⟨0 20 11 62]]
POTE generator: ~1990656/1953125 = 34.984
Vals: 34d, 69d, 103, 240, 343b
Badness: 0.230839

11-limit
Comma list: 225/224, 243/242, 215622/214375
Mapping: [⟨1 1 2 1 2], ⟨0 20 11 62 50]]
POTE generator: ~45/44 = 34.985
Vals: 34d, 69de, 103, 240, 343be
Badness: 0.065326

13-limit
Comma list: 225/224, 243/242, 351/350, 1188/1183
Mapping: [⟨1 1 2 1 2 3], ⟨0 20 11 62 50 24]]
POTE generator: ~45/44 = 34.988
Vals: 34d, 69de, 103, 240, 343be
Badness: 0.033418

17-limit
Comma list: 225/224, 243/242, 351/350, 375/374, 1188/1183
Mapping: [⟨1 1 2 1 2 3 4], ⟨0 20 11 62 50 24 3]]
POTE generator: ~45/44 = 34.997
Vals: 34d, 69de, 103, 137, 240
Badness: 0.025030

24 March 2022

Tertiaseptia (140 & 171)

11-limit
Comma list: 2401/2400, 6250/6237, 65625/65536
Mapping: [⟨1 3 2 3 -4], ⟨0 -22 5 -3 116]]
POTE generator: ~256/245 = 77.169
Vals: 140, 171, 311, 1695c, 2006bcd, 2317bcd, 2628bccde, 2939bccde, 3250bccde
Badness: 0.056926

13-limit
Comma list: 625/624, 2080/2079, 2200/2197, 2401/2400
Mapping: [⟨1 3 2 3 -4 1], ⟨0 -22 5 -3 116 42]]
POTE generator: ~117/112 = 77.168
Vals: 140, 171, 311, 1073, 1384cf, 1695cf, 2006bcdf
Badness: 0.027474

17-limit
Comma list: 595/594, 625/624, 833/832, 1156/1155, 2200/2197
Mapping: [⟨1 3 2 3 -4 1 1], ⟨0 -22 5 -3 116 42 48]]
POTE generator: ~68/65 = 77.169
Vals: 140, 171, 311
Badness: 0.018773

19-limit
Comma list: 595/594, 625/624, 833/832, 1156/1155, 1216/1215, 2200/2197
Mapping: [⟨1 3 2 3 -4 1 1 11], ⟨0 -22 5 -3 116 42 48 -105]]
POTE generator: ~68/65 = 77.169
Vals: 140, 171, 311, 1384cfgg, 1695cfgg, 2006bcdfgg
Badness: 0.017653

23-limit
Comma list: 595/594, 625/624, 833/832, 875/874, 1105/1104, 1156/1155, 1216/1215
Mapping: [⟨1 3 2 3 -4 1 1 11 -3], ⟨0 -22 5 -3 116 42 48 -105 117]]
POTE generator: ~23/22 = 77.168
Vals: 140, 311, 762g, 1073g, 1384cfgg
Badness: 0.015123

29-limit
Comma list: 595/594, 625/624, 784/783, 833/832, 875/874, 1015/1014, 1105/1104, 1156/1155
Mapping: [⟨1 3 2 3 -4 1 1 11 -3 1], ⟨0 -22 5 -3 116 42 48 -105 117 60]]
POTE generator: ~23/22 = 77.167
Vals: 140, 311, 762g, 1073g, 1384cfggj
Badness: 0.012181

31-limit
Comma list: 595/594, 625/624, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014
Mapping: [⟨1 3 2 3 -4 1 1 11 -3 1 11], ⟨0 -22 5 -3 116 42 48 -105 117 60 -94]]
POTE generator: ~23/22 = 77.169
Vals: 140, 171, 311
Badness: 0.012311

37-limit
Comma list: 595/594, 625/624, 703/702, 714/713, 784/783, 833/832, 875/874, 900/899, 931/930, 1015/1014
Mapping: [⟨1 3 2 3 -4 1 1 11 -3 1 11 0], ⟨0 -22 5 -3 116 42 48 -105 117 60 -94 81]]
POTE generator: ~23/22 = 77.170
Vals: 140, 171, 311
Badness: 0.010949

41-limit
Comma list: 595/594, 625/624, 697/696, 703/702, 714/713, 784/783, 820/819, 833/832, 875/874, 900/899, 931/930
Mapping: [⟨1 3 2 3 -4 1 1 11 -3 1 11 0 6], ⟨0 -22 5 -3 116 42 48 -105 117 60 -94 81 -10]]
POTE generator: ~23/22 = 77.169
Vals: 140, 171, 311
Badness: 0.009825

Semitert (140 & 202)

11-limit
Comma list: 2401/2400, 9801/9800, 65625/65536
Mapping: [⟨2 6 4 6 1], ⟨0 -22 5 -3 46]]
POTE generator: ~256/245 = 77.193
Vals: 62e, 140, 202, 342
Badness: 0.025790

Commas which this user proposed names

This user proposed new names for following commas.

Proposed in April 2021

4 April 2021

  • hewuermera: 589824/588245, satribiru-agu
  • triwellisma: 235298/234375, tribizo-asepgu (name revised on 24 April 2021)

25 April 2021

26 April 2021

28 April 2021

Proposed in May 2021

3 May 2021

4 May 2021

6 May 2021

  • sesquiquartisma: 2460375/2458624, laquadru-atruyo
  • mitonisma: 5250987/5242880, laquadzo-agu
  • olympia: 131072/130977, salururu (name revised on 2 August 2021)

13 May 2021

19 May 2021

23 May 2021

27 May 2021

Proposed in June 2021

8 June 2021

28 June 2021

Proposed in July 2021

12 July 2021

13 July 2021

18 July 2021

Proposed in August 2021

7 August 2021

8 August 2021

13 August 2021

14 August 2021

19 August 2021

Proposed in September 2021

11 September 2021

15 September 2021

Proposed in October 2021

16 October 2021

Proposed in November 2021

5 November 2021

7 November 2021

  • lokisma: 102760448/102515625, sasazozo-atribigu

Proposed in January 2022

6 January 2022

11 January 2022

15 January 2022

22 January 2022

  • mabilisma: 1071875/1048576, latrizo-aquinyo
  • pentonisma: 281974669312/281950621875, saquinthuzogu

Proposed in February 2022

22 February 2022

25 February 2022

Proposed in March 2022

6 March 2022

19 March 2022

Documents

Retrieved from "https://en.xen.wiki/index.php?title=User:Xenllium&oldid=91344"