User:TallKite/Catalog of single-comma rank two temperaments with Color names

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The original versions of this table are here:

cplx/7.65 + dmg/10.00 <= 1.00

(...) = multi-comma temperaments that use this comma

THIS LIST IS SORTABLE, so you can sort by name or by pergen, and look up a specific temperament. To sort by prime subgroup, refresh the page in your browser. See: Color Notation/Temperament names.

  • S = prime subgroup
  • cm = Complexity = corresponds roughly to the integer limit of the commas
  • dm = Damage = corresponds roughly to the cents discrepancy from JI
  • bd = Badness = a combination of complexity and error

Note that 5-edo + ya and 5-edo + za have the exact same complexity, damage and badness.

S name color name pergen comma ¢ mapping cm dm bd
2.3.5 Father Gubi (P8, P5) 16/15 111.7 [1 2 2] [0 -1 1] 1.37 14.13 1.59
2.3.5 Dicot Yoyo (P8, P5/2) 25/24 70.672 [1 1 2] [0 2 1] 1.599 7.658 0.975
2.3.5 Bug Gugu (P8, P4/2) 27/25 133.2 [1 2 3] [0 -2 -3] 1.63 14.18 1.63
2.3.5 Meantone Gu (P8, P5) 81/80 21.506 [1 2 4] [0 -1 -4] 2.194 1.699 0.457
2.3.5 Augmented Trigu (P8/3, P5) [7 0 -3] 41.1 [3 5 7] [0 -1 0] 2.42 2.94 0.61
2.3.5 Mavila Layobi (P8, P5) [-7 3 1] 92.179 [1 1 4] [0 1 -3] 2.439 6.548 0.974
2.3.5 Porcupine Triyo (P8, P4/3) [1 -5 3] 49.166 [1 -1 -2] [0 3 5] 2.754 3.094 0.669
2.3.5 Blackwood 5-edo + ya (P8/5, ^1) [8 -5 0] 90.2 [5 8 11] [0 0 1] 2.760 5.666 0.927
2.3.5 Diminished Quadgu (P8/4, P5) [3 4 -4] 62.565 [4 7 10] [0 -1 -1] 3.228 3.359 0.758
2.3.5 Srutal Sagugu (P8/2, P5) [11 -4 -2] 19.553 [2 4 3] [0 -1 2] 3.809 0.889 0.587
2.3.5 Magic Laquinyo (P8, P12/5) [-10 -1 5] 29.614 [1 0 2] [0 5 1] 4.019 1.277 0.653
2.3.5 Ripple Quingu (P8, P4/5) [-1 8 -5] 84.071 [1 2 3] [0 -5 -8] 4.382 3.324 0.905
2.3.5 Hanson Tribiyo (P8, P12/6) [-6 -5 6] 8.107 [1 0 1] [0 6 5] 4.827 0.291 0.660
2.3.5 Negri Quadyo (P8, P4/4) [-14 3 4] 51.120 [1 -2 5] [0 4 -3] 4.859 1.823 0.818
2.3.5 Tetracot Saquadyo (P8, P5/4) [5 -9 4] 27.660 [1 1 1] [0 4 9] 4.948 0.969 0.744
2.3.5 Superpyth Sayo (P8, P5) [12 -9 1] 68.719 [1 1 -3] [0 1 9] 4.954 2.404 0.888
2.3.5 Helmholtz Layo (P8, P5) [-15 8 1] 1.954 [1 1 7] [0 1 -8] 5.199 0.065 0.686
2.3.5 Sensi Sepgu (P8, WP12/7) [2 9 -7] 13.399 [1 6 8] [0 -7 -9] 5.635 0.412 0.778
2.3.5 Passion Saquingu (P8, P4/5) [18 -4 -5] 60.611 [1 2 2] [0 -5 4] 6.230 1.686 0.983
2.3.5 Würschmidt Saquadbigu (P8, WP12/8) [17 1 -8] 11.445 [1 7 3] [0 -8 -1] 6.439 0.308 0.873
2.3.5 Compton 12-edo + ya (P8/12, ^1) [-19 12 0] 23.5 [12 19 28] [0 0 -1] 6.588 0.617 0.923
2.3.5 Amity Saquinyo (P8, P11/5) [9 -13 5] 6.154 [1 -2 -7] [0 5 13] 7.142 0.149 0.949
2.3.5 Orson Lasepyo (P8, P12/7) [-21 3 7] 10.061 [1 0 3] [0 7 -3] 7.279 0.239 0.976
2.3.5 Vishnu Sasepbigu (P8/2, P4/7) [23 6 -14] 3.338 [2 4 5] [0 -7 -3] 11.267 0.051 1.478
2.3.5 Luna Sasa-quintrigu (P8, W5P5/15) [38 -2 -15] 1.38 [1 4 2] [0 -15 2] 13.17 0.02 1.72
2.3.7 (father) Zo (P8, P5) 28/27 62.961 [1 1 1] [0 1 3] 1.657 6.584 0.875
2.3.7 semaphore Zozo (P8, P4/2) 49/48 35.697 [1 0 2] [0 2 1] 1.941 3.187 0.572
2.3.7 archy Ru (P8, P5) 64/63 27.264 [1 2 2] [0 -1 2] 2.076 2.276 0.499
2.3.7 (blackwood) 5-edo + za (P8/5, ^1) [8 -5 0] 90.225 [5 8 14] [0 0 1] 2.76 5.666 0.927
2.3.7 (penta) Trizo (P8, P5/3) [-2 -4 3] 98.658 [1 1 2] [0 3 4] 2.905 5.886 0.968
2.3.7 (august) Triru (P8/3, P5) [-1 6 -3] 105.252 [3 5 9] [0 -1 -2] 3.281 5.56 0.985
2.3.7 slendric Latrizo (P8, P5/3) [-10 1 3] 8.433 [1 1 3] [0 3 -1] 3.467 0.421 0.495
2.3.7 (injera, pajara) Laruru (P8/2, P5) [-7 8 -2] 77.988 [2 4 9] [0 -1 -4] 4.383 3.083 0.881
2.3.7 cloudy Laquinzo (P8/5, P5) [-14 0 5] 44.13 [5 7 14] [0 1 0] 4.858 1.574 0.792
2.3.7 (progression) Quinru (P8, P5/5) [3 7 -5] 69.555 [1 6 9] [0 -5 -7] 4.875 2.473 0.884
2.3.7 squares Laquadru (P8, P11/4) [-3 9 -4] 42.291 [1 3 6] [0 -4 -9] 4.938 1.484 0.794
2.3.7 (meantone) Laru (P8, P5) [-13 10 -1] 50.724 [1 2 7] [0 -1 -10] 5.486 1.602 0.877
2.3.7 vulture Saquadru (P8, P12/4) [16 -3 -4] 18.831 [1 4 1] [0 -4 3] 5.542 0.589 0.783
2.3.7 (echidna) Latribiru (P8/2, P4/3) [1 10 -6] 6.595 [2 4 7] [0 -3 -5] 5.839 0.196 0.783
2.3.7 liese Latriru (P8, P11/3) [-9 11 -3] 15.027 [1 3 8] [0 -3 -11] 6.04 0.431 0.833
2.3.7 (catler, compton) 12-edo + za (P8/12, ^1) [-19 12 0] 23.46 [12 19 34] [0 0 -1] 6.588 0.617 0.923
2.3.7 (magic) Saquinzo (P8, P12/5) [5 -12 5] 20.67 [1 0 -1] [0 5 12] 6.595 0.543 0.916
2.3.7 (orwell) Sepru (P8, P12/7) [7 8 -7] 33.859 [1 7 9] [0 -7 -8] 6.816 0.861 0.977
2.3.7 hemififths Sasa-zozo (P8, P5/2) [15 -13 2] 12.237 [1 1 -1] [0 2 13] 7.143 0.297 0.963
2.3.11 (pelogic, mavila) iLo (P8, P5) 33/32 53.273 [1 1 4] [0 1 -1] 1.741 5.304 0.758
2.3.11 neuter Lulu (P8, P5/2) 243/242 7.139 [1 3 7] [0 -2 -5] 2.745 0.451 0.404
2.3.11 (blacksmith, ferrier) 5-edo + ila (P8/5, ^1) [8 -5 0] 90.225 [5 8 17] [0 0 1] 2.76 5.666 0.927
2.3.11 (sharptone, domineering) Lalu (P8, P5) [-6 6 -1] 60.412 [1 2 6] [0 -1 -6] 3.287 3.185 0.748
2.3.11 (porcupine, opossum) Trilo (P8, P4/3) [-4 -4 3] 46.134 [1 -1 0] [0 3 4] 3.59 2.227 0.692
2.3.11 (progress, latriyo, triton) Satrilu (P8, P11/3) [12 -1 -3] 44.091 [1 3 3] [0 -3 1] 4.153 1.84 0.727
2.3.11 (dominant, supra/superpyth) Salu (P8, P5) [13 -6 -1] 36.952 [1 2 1] [0 -1 6] 4.5 1.423 0.731
2.3.11 Quadlo (P8, P5/4) [-9 -3 4] 99.407 [1 1 3] [0 4 3] 4.781 3.603 0.985
2.3.11 (pajarous) Salolo (P8/2, P5) [9 -10 2] 83.086 [2 3 6] [0 1 5] 5.505 2.615 0.981
2.3.11 Laquadlo (P8/2, M2/4) [-17 2 4] 9.182 [2 3 7] [0 2 -1] 5.893 0.27 0.797
2.3.11 (accord, amity, sixix, hitchcock) Saquinlo (P8, P11/5) [-3 -9 5] 38.995 [1 -2 -3] [0 5 9] 5.989 1.128 0.896
2.3.11 (progression, secund) Quinlu (P8, P5/5) [11 4 -5] 51.23 [1 6 7] [0 -5 -4] 6.002 1.479 0.932
2.3.11 (porky, porcupine) Latrilu (P8, P4/3) [-7 11 -3] 67.551 [1 2 5] [0 -3 -11] 6.033 1.94 0.983
2.3.11 (helmholtz, garibaldi) Salo (P8, P5) [14 -11 1] 29.813 [1 1 -3] [0 1 11] 6.047 0.854 0.876
2.3.11 Lalolo (P8, P4/2) [-18 7 2] 16.321 [1 0 9] [0 2 -7] 6.241 0.453 0.861
2.3.11 (compton, catler, duodecim) 12-edo + ila (P8/12, ^1) [-19 12 0] 23.46 [12 19 42] [0 0 -1] 6.588 0.617 0.923
2.3.11 Tribilo (P8/3, M6/6) [-16 -3 6] 2.043 [3 4 10] [0 2 1] 7.193 0.049 0.945
2.3.13 (mother, father, sharptone) Thu (P8, P5) 27/26 65.337 [1 2 5] [0 -1 -3] 1.638 6.91 0.905
2.3.13 (pajaric, srutal, octokaidecal) Thotho (P8/2, P5) 169/162 73.235 [2 3 7] [0 1 2] 2.554 4.968 0.831
2.3.13 (blackwood) 5-edo + tha (P8/5, ^1) [8 -5 0] 90.225 [5 8 18] [0 0 1] 2.76 5.666 0.927
2.3.13 hemif (maqamic, mohamaq, dicot) Thuthu (P8, P5/2) [9 -1 -2] 16.99 [1 3 3] [0 -2 1] 3.117 0.945 0.502
2.3.13 (dominatrix, arnold, …) Latho (P8, P5) [-10 4 1] 48.348 [1 1 6] [0 1 -4] 3.473 2.413 0.695
2.3.13 (tricot, liese/l) Satritho (P8, P11/3) [0 -7 3] 7.898 [1 0 0] [0 3 7] 3.846 0.356 0.538
2.3.13 (hystrix, porcupine, opossum) Trithu (P8, P4/3) [8 2 -3] 82.327 [1 2 4] [0 -3 -2] 3.859 3.697 0.874
2.3.13 (dominant, domimion, schism) Satho (P8, P5) [9 -8 1] 24.888 [1 1 -1] [0 1 8] 4.398 0.981 0.673
2.3.13 (negri/c/l, negroni) Quadtho (P8, P4/4) [-10 -3 4] 56.246 [1 -2 1] [0 4 3] 5.122 1.903 0.86
2.3.13 (hemipaj, srutar) Laquadthu (P8/2, M2/4) [-1 10 -4] 57.439 [2 3 7] [0 2 5] 5.485 1.815 0.898
2.3.13 (baragon, varan, godzilla) Lathuthu (P8, P4/2) [-10 11 -2] 40.45 [1 2 6] [0 -2 -11] 6.037 1.161 0.905
2.3.13 (dominant, suprapyth) Sathu (P8, P5) [18 -9 -1] 41.877 [1 2 0] [0 -1 9] 6.232 1.164 0.931
2.3.13 (tsaharuk) Quinthu (P8, P5/5) [9 6 -5] 9.092 [1 6 9] [0 -5 -6] 6.414 0.246 0.863
2.3.13 (compton, catcall, catler) 12-edo + tha (P8/12, ^1) [-19 12 0] 23.46 [12 19 45] [0 0 -1] 6.588 0.617 0.923
2.3.13 (coendou, porcupine) Latritho (P8, P4/3) [-19 5 3] 31.358 [1 -1 8] [0 3 -5] 6.589 0.825 0.944