Ordered lists of ET rank two temperaments
(Redirected from Lists of ET rank two temperaments by complexity)
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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 |
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 |
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 | ||
34dh | srutal | pajara | pajara | pajara | pajara | 12f&22h |
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 | srutal |
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 |