View source for 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.

{| class="wikitable"
!  || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10
|-
! 11–20
| 
| [[List of 12et rank two temperaments by badness|12]]
| 
| [[List of 14edo rank two temperaments by badness|14]]
| [[List of 15et rank two temperaments by badness|15]]
| [[List of 16et rank two temperaments by badness|16]]
| [[List of 17edo rank two temperaments by badness|17]]
| 
| [[List of 19et rank two temperaments by badness|19]]
| 
|-
! 21–30
| [[List of 21edo rank two temperaments by badness|21]]
| [[List of 22et rank two temperaments by badness|22]]
| 
| [[List of 24et rank two temperaments by badness|24]]
| 
| [[List of 26et rank two temperaments by badness|26]]
| [[List of 27edo rank two temperaments by badness|27]]
| [[List of 28edo rank two temperaments by badness|28]]
| [[List of 29et rank two temperaments by badness|29]]
| 
|-
! 31–40
| [[List of 31et rank two temperaments by badness|31]]
| 
| 
| [[List of 34edo rank two temperaments by badness|34]]
| 
| 
| [[List of 37et rank two temperaments by badness|37]]
| [[List of 38edo rank two temperaments by badness|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.

{| class="wikitable"
!  || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10
|-
! 11–20
| 
| [[List of 12et rank two temperaments by complexity|12]]
| 
| 
| 
| 
| 
| 
| [[List of 19et rank two temperaments by complexity|19]]
| 
|-
! 21–30
| 
| [[List of 22et rank two temperaments by complexity|22]]
| 
| 
| 
| 
| 
| 
| 
| 
|}

== Edo-distinct temperaments ==
See [[Lists of 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.

{| class="wikitable"
|-
! 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
| 
| 
|}

[[Category:EDO theory pages]]
[[Category:Rank 2]]
[[Category:Lists of temperaments by badness]]
{{Todo| intro }}