Ordered lists of ET rank two temperaments
(Redirected from Lists of rank two temperaments by badness by ET)
By logflat badness
The following are lists of rank 2 temperaments supported by each ET below a certain logflat badness level, ordered by logflat badness.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
|---|---|---|---|---|---|---|---|---|---|---|
| 11–20 | 12 | 14 | 15 | 16 | 17 | 19 | ||||
| 21–30 | 21 | 22 | 24 | 26 | 27 | 28 | 29 | |||
| 31–40 | 31 | 34 | 37 | 38 |
By complexity
The following are lists of rank 2 temperaments supported by each ET below a certain logflat badness level, ordered by TE complexity.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
|---|---|---|---|---|---|---|---|---|---|---|
| 11–20 | 12 | 19 | ||||||||
| 21–30 | 22 |
Edo-distinct temperaments
Minimal generator complexity temperaments for various equal temperaments
Below is a table of the minimal complexity rank-2 temperament supported by a variety of equal-temperament vals. Complexity is measured by generator complexity; it should be noted that other complexity meaasures such as TE complexity will often give different results.
| Val | 5-limit | 7-limit | 11-limit | 13-limit | 17-limit | 19-limit |
|---|---|---|---|---|---|---|
| 12f | Meantone | August | August | August | ||
| 15 | Augmented | Blackwood | Ferrier | Ferrier | ||
| 17c | Meantone | Dominant | Progression | Progression | ||
| 19 | Meantone | Godzilla | Godzilla | Godzilla | ||
| 22 | Porcupine | Pajara | Telepathy | Porkpie | ||
| 24 | (Contorted) | Godzilla | Triforce | Triforce | ||
| 26 | Meantone | Injera | Injera | Lemba | Lemba | |
| 27e | Augmented | Augene | Augene | Sensis | ||
| 29 | Porcupine | Negri | Nautilus | Nautilus | ||
| 31 | Meantone | Meantone | Meantone | Meantone | ||
| 34dh | Diaschismic | Pajara | Pajara | Pajara | Pajara | 12f & 22h |
| 37 | Porcupine | Porcupine | Porcupine | Porcupinefish | ||
| 41 | Magic | Magic | Cassandra | Cassandra | ||
| 43 | Meantone | Meantone | Meantone | Meridetone | ||
| 46 | Diaschismic | Sensi | Valentine | Dwynwen | Shrutar 22 & 46 | Shrutar |
| 50 | Meantone | Meantone | Bimeantone | Meanpop | Meanpop | Meanpop |
| 53 | Hanson | Garibaldi | Orwell | Cataclysmic | ||
| 58h | Diaschismic | Myna | Myna | Myna | Diaschismic | 46h & 58h |
| 60e | Magic | Magic | Tritonic | Tritonic | Tritonic | |
| 63 | Magic | Magic | Magic | Necromancy | ||
| 68 | (Contorted) | Octacot | Shrutar | Hemikleismic | Shrutar | Shrutar |
| 72 | Hanson | Miracle | Miracle | Hendec | Hendec | Hendec 26 & 46h |
| 77 | Helmholtz | Valentine | Valentine | Valentino | Valentino | Valentino |
| 80 | Diaschismic | Quartonic | Echidna | Quartonic | Echidna | Srutal |
| 84 | Sensipent | Orwell | Compton | Merman | Secant | Secant |
| 87 | Hanson | Rodan | Rodan | Mystery | Rodan | Rodan 41 & 46h |
| 89 | Helmholtz | Myna | Myna | Amigo | ||
| 94 | Helmholtz | Garibaldi | Wizard | Garibaldi | 26 & 68 | 26 & 68 |
| 99 | Würschmidt | Hemiwürschmidt | Hemiwur | Hitchcock | Hitchcock | |
| 103h | Sensipent | Miracle | Miracle | Benediction | Benediction | Benediction 31 & 103h |
| 111 | Sensipent | Buzzard | Semisept | Buzzard | Warrior | Semisept |
| 113 | Amity | Miracle | Miracle | Manna | Manna | |
| 118 | Helmholtz | Unidec | Unidec | Hemithirds | Bicommatic | Bicommatic 58h & 60eh |
| 118f | Hendec | Hendec | Hendec 46 & 72 | |||
| 121 | Hanson | Hemikleismic | Pluto | Slithy | Slithy | Slithy |
| 125f | Hanson | Catakleismic | Slender | Catakleismic | Catakleismic | Catakleismic |
| 130 | (Contorted) | Hemiwürschmidt | Hemiwürschmidt | Harry | Harry | Bison 46 & 84 |
| 140 | Hanson | Hemififths | Tertia | Quadritikleismic | Quadritikleismic | Quadritikleismic |
| 149 | Sensipent | Hemithirds | Hemithirds | Heinz | Heinz | Hemiseven |
| 152f | Amity | Amity | Grendel | Supers | ||
| 159 | (Contorted) | Guiron | Tritikleismic | Tritikleismic | Tritikleismic | Tritikleismic 72 & 159 |
| 166g | Amity | Wizard | Wizard | Gizzard | Gizzard | |
| 171 | Helmholtz | Ennealimmal | Ennealimnic | Sesquart | Ennealimnic | |
| 175f | Ampersand | Miracle | Miracle | Benediction | Benediction | |
| 183 | Helmholtz | Grendel | Grendel | Mirkat | Mirkat | Septendecemi |
| 190g | Orson | Unidec | Unidec | Ekadash | Ekadash | Ekadash |
| 193 | Hanson | Kwai | Sqrtphi | Sqrtphi | Sqrtphi | Sqrtphi |
| 197e | Hanson | Catakleismic | Catakleismic | 9 & 94 | ||
| 198 | (Contorted) | (Contorted) | Semihemiwürschmidt | Semihemi | ||
| 202 | Gravity | Harry | Harry | Harry | ||
| 205 | Amity | Amity | 31 & 205 | Quanic | Quanic | |
| 208 | Hanson | Quadritikleismic | Metakleismic | Metakleismic | ||
| 212 | (Contorted) | Quadritikleismic | Quadritikleismic | Quadritikleismic | ||
| 217 | Parakleismic | Parakleismic | Birds | Arch | Quincy | |
| 224 | Helmholtz | Octoid | Octoid | Pogo | Octoid | |
| 241 | Sensipent | Subpental | 31 & 241 | 58 & 183 | 58 & 183 | |
| 248 | Helmholtz | Bischismic | Bischismic | Essence | Octowerck | |
| 253 | Helmholtz | Sesquiquartififths | Cotritone | Cotritone 72 & 181 | ||
| 270 | Vishnu | Ennealimmal | Hemiennealimmal | Hemiennealimmal | Hemiennealimmal | |
| 282 | Escapade | Septisuperfourth | Septisuperfourth | Septisuperfourth | ||
| 284 | Hanson | Quadritikleismic | Quadritikleismic | 94 & 190 | ||
| 289 | Helmholtz | Pontiac | Quincy | Sextilifourths | ||
| 296 | Orson | Octoid | Octoid | Octoid | ||
| 301 | Helmholtz | Sesquiquartififths | Quasiorwell | 149 & 301 | ||
| 311 | Amity | Tertiaseptal | Unthirds | Trinity | ||
| 313 | Helmholtz | Hemischis | 31 & 282 | Hemischis | ||
| 320 | Vishnu | Fifthplus | Octowerck | Decile | ||
| 333 | Hanson | Countercata | 29 & 152 | Novemkleismic | Novemkleismic | |
| 354 | Helmholtz | Term | Pogo | Pogo | ||
| 373 | Parakleismic | Tertiaseptal | 72 & 229 | 72 & 301 | ||
| 400 | Unidec | Quinmite | 31 & 369 | Decoid | ||
| 422 | Vishnu | Gamera | Vishnu | Hemigamera | ||
| 441 | Luna | Ennealimmal | Semiennealimmal | 130 & 311 | ||
| 494 | Enneadecal | Enneadecal | Abigail | Abigail | ||
| 581 | Gammic | Neptune | Newt | Newt | ||
| 612 | Ennealimmal | Ennealimmal | Hemiennealimmal | 311 & 612 |