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.
By complexity
The following are lists of rank 2 temperaments supported by each ET below a certain logflat badness level, ordered by TE complexity.
EDO-distinct temperaments
- See Lists 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
|
|
|
| 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
|
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
|
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
|
|
|