Ordered lists of ET rank two temperaments
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.
| 12 | 14 | 15 | 16 | 17 | 19 | ||||
| 21 | 22 | 24 | 25 | 26 | 27 | 28 | 29 | ||
| 31 | 34 | 37 | 38 | ||||||
| 41 | 43 | 46 | 50 | ||||||
| 53 | 56 | 58 | |||||||
| 72 | |||||||||
By complexity
The following are lists of rank 2 temperaments supported by each ET below a certain logflat badness level, ordered by TE complexity.
| 12 | 19 | ||||||||
| 22 | |||||||||
| 31 | |||||||||
EDO-distinct temperaments
See List of edo-distinct temperaments.
Minimal generator complexity temperaments for various ets
Below is a table of the minimal complexity rank two temperament supported by a variety of et 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 | blacksmith | 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 | ||
| 34d | srutal | pajara | pajara | pajara | pajara | |
| 37 | porcupine | porcupine | porcupine | porcupinefish | ||
| 41 | magic | magic | cassandra | cassandra | ||
| 43 | meantone | meantone | meantone | meridetone | ||
| 46 | srutal | sensi | valentine | dwynwen | srutar 22p&46 | srutar |
| 50 | meantone | meantone | bimeantone | meanpop | meanpop | meanpop |
| 53 | hanson | garibaldi | orwell | cataclysmic | ||
| 58h | srutal | myna | myna | myna | 46&58 | 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,72 |
| 77 | helmholtz | valentine | valentine | valentino | valentino | valentino |
| 80 | srutal | quartonic | echidna | quartonic | echidna | quartonic 27eg&80 |
| 84 | sensi | orwell | compton | merman | secant | secant |
| 87 | hanson | rodan | rodan | mystery | rodan | rodan 41p&46h |
| 89 | helmholtz | myna | myna | amigo | ||
| 94 | helmholtz | garibaldi | wizard | garibaldi | 26&68 | 26&68 |
| 99p | würschmidt | hemiwürschmidt | hemiwur | hitchcock | hitchcock | |
| 103h | sensi | miracle | miracle | benediction | benediction | benediction 31&103h |
| 111 | sensi | buzzard | semisept | buzzard | 46&111 | semisept |
| 113 | amity | miracle | miracle | manna | manna | |
| 118p | helmholtz | unidec | unidec | hemithirds | commatic | commatic 58h&60eh |
| 118f | hendec | hendec | hendec 46p&72 | |||
| 121 | hanson | hemikleismic | pluto | slithy | slithy | slithy |
| 125f | hanson | catakleismic | slender | catakleismic | catakleismic | catakleismic |
| 130 | contorted | hemiwürschmidt | hemiwürschmidt | harry | harry | bison 46p&84p |
| 140 | hanson | hemififths | tertia | quadritikleismic | quadritikleismic | quadritikleismic |
| 149 | sensi | 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 | 80&183 |
| 190g | orson | unidec | unidec | ekadash | ekadash | ekadash |
| 193 | hanson | kwai | sqrtphi | sqrtphi | sqrtphi | sqrtphi |
| 197e | hanson | catakleismic | catakleismic | 9&94 | ||
| 198 | contorted | contorted | semihemiwürschmidt | 58&140 | ||
| 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 | sensi | subpental | 31&241 | 58&183 | 58&183 | |
| 248 | helmholtz | bischismic | bischismic | essence | octowerck | |
| 253 | helmholtz | sesquiquartififths | cotritone | 72&181 | ||
| 270 | vishnu | ennealimmal | hemiennealimmal | hemiennealimmal | hemiennealimmal | |
| 282 | escapade | septisuperfourth | septisuperfourth | 130&282 | ||
| 284 | hanson | quadritikleismic | quadritikleismic | 94&190 | ||
| 289 | helmholtz | pontiac | quincy | sextilififths | ||
| 296 | orson | octoid | octoid | octoid | ||
| 301 | helmholtz | sesquiquartififths | quasiorwell | 149&301 | ||
| 311 | amity | tertiaseptal | unthirds | 159&311 | ||
| 313 | helmholtz | hemischis | 31&282 | hemischis | ||
| 320 | vishnu | fifthplus | octowerck | 130&190 | ||
| 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 |