Survey of efficient temperaments by subgroup: Difference between revisions

Review for 17- & 19-limit; might still be more to move around
 
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== Table of temperaments (5 to 45 notes per equave) ==
== Table of temperaments (5 to 45 notes per equave) ==
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first.  
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first.  
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If you see any temperaments listed in the wrong order, or see any temperaments in the wrong "approx. number of notes needed" category, please move them to the correct position.
If you see any temperaments listed in the wrong order, or see any temperaments in the wrong "approx. number of notes needed" category, please move them to the correct position.
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=== Full prime limits ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
! JI subgroup
! JI subgroup
! ~10 notes per equave<ref group="note">Number of notes per equave was estimated by multiplying the temperament’s [[graham complexity]] by 2.</ref>
! ~5 notes per equave<ref group="note">Number of notes per equave is estimated by the temperament's [[graham complexity]] of a reasonable odd limit.</ref>
! ~10 notes
! ~15 notes
! ~20 notes
! ~20 notes
! ~30 notes
! ~40 notes
|-
|-
! 5-limit <br>(2.3.5)
! 5-limit <br>(2.3.5)
| [[hanson]], [[magic]], [[meantone]], [[negri]], [[augmented (temperament)|augmented]], [[porcupine]], [[diminished (temperament)|diminished]], [[whitewood]], [[blackwood]], [[mavila]]
| [[Hanson]], [[magic]], [[meantone]], [[negri]], [[augmented (temperament)|augmented]], [[porcupine]], [[diminished (temperament)|diminished]], [[whitewood]], [[blackwood]], [[mavila]]
| [[helmholtz (temperament)|helmholtz]], [[orson]], [[würschmidt]], [[sensipent]], [[compton]], [[valentine]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]]
| [[Helmholtz (temperament)|Helmholtz]], [[orson]], [[würschmidt]], [[sensipent]], [[compton]], [[valentine]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]]
| [[kwazy]], [[luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[misty]], [[gravity]], [[rodan]]
| [[Luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[misty]], [[gravity]], [[rodan]]
| [[enneadecal]], [[gammic]], [[vulture]]
| [[Enneadecal]], [[gammic]], [[vulture]]
|-
|-
! 7-limit <br>(2.3.5.7)
! 7-limit <br>(2.3.5.7)
| [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant (temperament)|dominant]], [[august]], [[diminished (temperament)|diminished]], [[blackwood]]
| [[Dominant (temperament)|Dominant]], [[august]], [[blackwood]]
| [[orwell]], [[valentine]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese]], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]], [[lemba]]
| [[Magic]], [[meantone]], [[superpyth]], [[liese]], [[augene]], [[porcupine]], [[pajara]], [[negri]], [[keemun]], [[catler]], [[godzilla]], [[hedgehog]], [[injera]], [[nautilus]], [[diminished (temperament)|diminished]]
| [[amity]], [[hemiwürschmidt]], [[harry]], [[miracle]], [[garibaldi]], [[diaschismic]], [[sensi]]
| [[Garibaldi]], [[orwell]], [[sensi]], [[mothra]], [[flattone]], [[beatles]], [[doublewide]], [[lemba]]
| [[misty]], [[unidec]], [[catakleismic]]
| [[Catakleismic]], [[miracle]], [[valentine]], [[myna]], [[diaschismic]]
|-
|-
! 11-limit <br>(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
| [[triforce]], [[blackwood]], [[pajaric]], [[negric]]
|
| [[orwell]], [[valentine]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant (temperament)|dominant]], [[meanenneadecal]], [[duodecim]]
| [[Porcupine]], [[augene]], [[hedgehog]], [[catnip]], [[nautilus]], [[injera]], [[godzilla]], [[triforce]], [[progress]], [[meanenneadecal]], [[duodecim]], [[negric]], [[dominant (temperament)|dominant]], [[blackwood]], [[pajaric]]
| [[mothra]], [[nusecond]], [[meantone]], [[squares]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[negroni]], [[porky]], [[fleetwood]], [[pajarous]], [[sensis]], [[flattone]], [[godzilla]], [[darjeeling]]
| [[Orwell]], [[nusecond]], [[squares]], [[quasisupra]], [[pajara]], [[porky]], [[sensis]], [[telepathy]], [[suprapyth]], [[pajarous]], [[flattone]], [[keemun]], [[darjeeling]]
| [[miracle]], [[shrutar]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]]
| [[Miracle]], [[valentine]], [[shrutar]], [[magic]], [[andromeda]], [[mothra]], [[migration]], [[meantone]], [[mohajira]], [[superpyth]], [[undevigintone]], [[astrology]], [[vigintiduo]], [[negroni]], [[fleetwood]]
|-
|-
! 13-limit <br>(2.3.5.7.11.13)
! 13-limit <br>(2.3.5.7.11.13)
| [[negric]]
|
| [[augene]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negri]], [[armodue (temperament)|armodue]]
| [[Porcupinefowl]], [[hedgehog]], [[triforce]], [[godzilla]], [[augene]], [[negric]], [[negri]], [[armodue (temperament)|armodue]]
| [[nusecond]], [[modus]], [[lupercalia]], [[fokkertone]], [[winston]], [[pajara]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]]
| [[Winston]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]], [[pajara]]
| [[miraculous]], [[leapday]], [[andromeda]], [[superkleismic]], [[mothra]], [[mohajira]], [[undevigintone]], [[ogene]], [[nautilus]], [[negroni]], [[injera]]
| [[Miraculous]], [[leapday]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[mohajira]], [[fokkertone]], [[undevigintone]], [[ogene]], [[negroni]], [[nautilus]], [[injera]]
|-
|-
! 17-limit <br>(2.3.5.7.11.13.17)
! 17-limit <br>(2.3.5.7.11.13.17)
|  
|  
| [[lemba]]+, [[hedgehog]]+
|  
| [[nusecond]]+, [[crepuscular]], [[winston]]+, [[pajara]], [[negroni]]+, [[sensis]]+, [[ringo]]+, [[pajarous]], [[augene]]+
| [[Pajara]], [[pajarous]]
| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[meantoid]], [[injera]], [[meanenneadecal]]
| [[Miraculous]], [[mohajira]], [[crepuscular]], [[injera]], [[meanenneadecal]]
|-
|-
! 19-limit <br>(2.3.5.7.11.13.17.19)
! 19-limit <br>(2.3.5.7.11.13.17.19)
|  
|  
| [[niner]]++
|  
| [[wilsec]], [[winston]]++, [[augene]]++, [[sensis]]++
|  
| [[roman]]++, [[mohajira]], [[lupercalia]]++, [[superpyth]]++, [[negroni]]++, [[meanenneadecal]], [[ringo]]++, [[injera]], [[meantoid]]
| [[Mohajira]], [[injera]], [[meanenneadecal]]
|-
|-
! Higher prime limits
! Higher prime limits
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|  
|  
|  
|  
| [[lupercalia]]+++, [[nautilus]]+++, [[negroni]]+++, [[injera]]+
|  
|}
 
=== Other subgroups ===
Subgroups ''without'' a "2" ''don't have'' multiple of 2 intervals (eg the 2/1 octave, the 3/2 perfect fifth, the 5/4 major third).
 
Subgroups ''without'' a "3" ''don't have'' multiple of 3 intervals (eg the 3/1 perfect twelfth, the 3/2 perfect fifth, the 5/3 major sixth).
 
Subgroups ''without'' a "5" ''don't have'' multiple of 5 intervals (eg the 5/3 major sixth, the 5/4 major third, the 6/5 minor third).
 
Subgroups ''with'' a "7", "11", or "other ''n''" include new [[xenharmonic]] consonant intervals that can't be found in common [[12edo]] tuning.
 
{| class="wikitable center-all"
|-
! JI subgroup
! ~5 notes per equave
! ~10 notes
! ~15 notes
! ~20 notes
|-
|-
! 2.3.5.7.other ''n''
! 2.3.5.7.other ''n''
| [[negra]]
| [[Negra]]
| no-11 [[godzilla]], no-11 [[pajara]], no-11 [[duodecim]]
| No-11 [[godzilla]], no-11 [[pajara]], no-11 [[duodecim]]
| no-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]]
| No-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]]
| no-11 [[catakleismic]]
| No-11 [[catakleismic]]
|-
|-
! 2.3.5.11 <br>and its extensions
! 2.3.5.11 <br>and its extensions
| [[porcupine]], [[mavila]], [[dicot]], [[flattone]]
| [[Porcupine]], [[mavila]], [[dicot]], [[flattone]]
| [[orson]]+, [[tetracot]], [[mohaha]]
| [[Tetracot]], [[mohaha]]
| [[larry]] (no-7 [[gravity]]), [[countdown]], no-7 [[catalan]]
| [[Larry]], [[countdown]], no-7 [[catalan]]
| [[escapade]]
| [[Escapade]]
|-
|-
! 2.3.5.other ''n''
! 2.3.5.other ''n''
| [[srutal archagall]], [[stutzel]]
| [[Srutal archagall]], [[stutzel]]
| [[sensipent]], [[nestoria]]
| [[Sensipent]], [[nestoria]]
| [[würschmidt]]<ref group="note">Subgroup 2.3.5.23 version.</ref>, [[cata]]
| [[Würschmidt]]<ref group="note">Subgroup 2.3.5.23 version.</ref>, [[cata]]
|  
|  
|-
|-
! 2.3.7
! 2.3.7
| [[slendric]], [[archy]], [[bleu]], [[semaphore]]
| [[Slendric]], [[archy]], [[bleu]], [[semaphore]]
| [[stearnsmic clan|stearnsmic]], [[skwares]]
| No-5 [[stearnsmic clan|stearnsmic]], [[skwares]]
| [[hemif]], [[leapfrog]]
| [[Hemif]], [[leapfrog]]
|  
|  
|-
|-
! 2.3.7.11 <br>and its extensions
! 2.3.7.11 <br>and its extensions
| [[bleu]], [[supra]], [[semaphore]]+
| [[Bleu]], [[supra]], [[semaphore]]+
| [[skwares]], [[stearnsmic clan|stearnsmic]]+, [[suhajira]]
| [[Skwares]], [[suhajira]]
| no-5 [[miracle]], [[radon]]^, [[hemif]]^<ref group="note">^Hemif beats radon in 2.3.7.11, radon beats hemif in 2.3.7.11.13 (in damage not badness).</ref>, [[leapfrog]]
| No-5 [[miracle]], [[radon]]^, [[hemif]]^<ref group="note">^Hemif beats radon in 2.3.7.11, radon beats hemif in 2.3.7.11.13 (in damage not badness).</ref>, [[leapfrog]]
|  
|  
|-
|-
! 2.3.7.other ''n''
! 2.3.7.other ''n''
| [[baladic]], [[oceanfront]], no-5 [[negra]]
| [[Baladic]], [[oceanfront]], no-5 [[negra]]
| no-5 no-11 [[liese]], no-11 [[skwares]]
| No-5 no-11 [[liese]], no-11 [[skwares]]
|
|  
|  
| [[slendric]]+
|-
|-
! 2.3.11 <br>and its extensions
! 2.3.11 <br>and its extensions
| [[neutral (temperament)|neutral]] (2.3.11 [[rastmic]]), [[namo]], [[paralimmal]], [[io]]
| [[Neutral (temperament)|neutral]], [[namo]], [[paralimmal]], [[io]]
| [[tribilo]] (2.3.11 [[nexus]]), [[huxley]]
| [[Tribilo]], [[huxley]]
|  
|  
|  
|  
|-
|-
! 2.3.other ''n''
! 2.3.other ''n''
| [[barbados]], [[boethian]], [[semitonic]], [[superflat]], [[hydrothermal]]
| [[Barbados]], [[boethian]], [[semitonic]], [[superflat]], [[hydrothermal]]
| [[threedic]], [[pepperoni]]
| [[Threedic]], [[pepperoni]]
| [[Subgroup temperaments #Historical|historical]]
| [[Subgroup temperaments #Historical|historical]]
|  
|  
|-
|-
! 2.5.7 <br>and its extensions
! 2.5.7 <br>and its extensions
| [[didacus]], [[frostburn]], no-3 [[oodako]], [[augment]]
| [[Didacus]], [[frostburn]], no-3 [[oodako]], [[augment]]
| [[rainy]], [[mercy]], [[huntington]]
| [[Rainy]], [[mercy]], [[huntington]]
| [[llywelyn]], [[silver]], [[baldy]]
| [[Llywelyn]], [[silver]], [[baldy]]
| [[roulette]]
| [[Roulette]]
|-
|-
! 2.5.other ''n''
! 2.5.other ''n''
| [[insect]], [[sulis]], [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[movila]]
| [[Insect]], [[sulis]], [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[movila]]
| no-3 no-7 [[emka]], [[wizz]]+
| No-3 no-7 [[emka]]
|  
|  
|  
|  
|-
|-
! 2.7 <br>and its extensions
! 2.7 <br>and its extensions
| [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]], [[machine]]
| [[Orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]], [[machine]]
| [[counterultrakleismic]], [[mechanism]], [[mabon]]
| [[Counterultrakleismic]], [[mechanism]], [[mabon]]
|  
|  
| [[machine|apparatus]]
| [[Apparatus]]
|-
|-
! 3.5.7 <br>and its extensions
! 3.5.7 <br>and its extensions
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[dubhe]], [[Catalog of 3.5.7 subgroup rank two temperaments|vega]]  
| [[Canopus]], [[BPS]], [[sirius]], [[arcturus]], [[dubhe]], [[vega]]  
| [[izar]], [[mintra]]
| [[Izar]], [[mintra]]
| [[alhena]], [[remus]]
| [[Alhena]], [[remus]]
| [[erigone]]
| [[Erigone]]
|-
|-
! 3.5.other ''n''
! 3.5.other ''n''
| [[aldebaran]], [[deneb]], [[polaris]]
| [[Aldebaran]], [[deneb]], [[polaris]]
|  
|  
|  
|  
| [[alnilam]], [[fomalhaut]]
| [[Alnilam]], [[fomalhaut]]
|-
|-
! 3.7 <br>and its extensions
! 3.7 <br>and its extensions
| [[mintaka]] (no-13), [[keladic]]
| [[Mintaka]] (no-13), [[keladic]]
| [[mebsuta]], [[minalzidar]]
| [[Mebsuta]], [[minalzidar]]
| [[mintaka]] (with 13)
| [[Mintaka]] (with 13)
|  
|  
|-
|-
! 4.''n'' <br>and its extensions
! 4.''n'' <br>and its extensions
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[tetrominant]]
| [[Meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[tetrominant]]
|
|  
|  
| [[fourwar]]
|  
|  
|-
|-
! 5.''n'' <br>and its extensions
! 5.''n'' <br>and its extensions
| [[antipyth]], [[juggernaut]]
| [[Antipyth]], [[juggernaut]]
|  
|  
|  
|  
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|-
|-
! Other subgroups
! Other subgroups
| [[greeley]], [[halftone]], [[semiwolf]], [[auk]]
| [[Greeley]], [[halftone]], [[semiwolf]], [[auk]]
|  
|  
|  
|  
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|+
|+
! JI subgroup
! JI subgroup
! ~50 notes
! ~25 notes
! ~60 notes
! ~30 notes
! ~70 notes
! ~35 notes
! ~80 notes
! ~40 notes
! >90 notes
! >45 notes
|-
|-
! 5-limit <br>(2.3.5)
! 5-limit <br>(2.3.5)
| [[ennealimmal]], [[quintosec]], [[counterhanson]], [[undim]]
| [[Kwazy]], [[ennealimmal]], [[quintosec]], [[counterhanson]], [[undim]], [[quintile]]
| [[alphatricot]], [[quintile]]
| [[Alphatricot]]
| [[minortone]], [[vavoom]]
| [[Minortone]], [[vavoom]]
|  
|  
|  
|  
|-
|-
! 7-limit <br>(2.3.5.7)
! 7-limit <br>(2.3.5.7)
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
| [[Hemififths]]
| [[hendecatonic]]
| [[Hemiwürschmidt]], [[unidec]]
| [[sesquiquartififths]], [[quinmite]], [[parakleismic]]
| [[Ennealimmal]], [[sesquiquartififths]], [[parakleismic]], [[amity]], [[harry]], [[misty]], [[hendecatonic (temperament)|hendecatonic]]
| [[neptune]], [[gamera]], [[nessafof]], [[octoid]], [[septiquarter]]
| [[Septiquarter]]
| [[supermajor]], [[enneadecal]], [[term]]
| [[Supermajor (temperament)|Supermajor]], [[enneadecal]], [[term]], [[neptune (temperament)|neptune]], [[tertiaseptal]], [[gamera]], [[quinmite]], [[nessafof]], [[octoid]], [[quadritikleismic]], [[grendel]]
|-
|-
! 11-limit <br>(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
| [[unidec]], [[tritikleismic]], [[hemithirds]], [[wizard]], [[diaschismic]]
| [[Meanpop]]
|
| [[Unidec]], [[wizard]], [[diaschismic]]
| [[quadritikleismic]], [[harry]]
| [[Harry]], [[hemithirds]]
| [[quasiorwell]], [[octoid]], [[sqrtphi]], [[hemiwürschmidt]], [[ennealimnic]], [[catakleismic]]
| [[Tritikleismic]], [[hemiwürschmidt]]
| [[hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]]
| [[Hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]], [[quasiorwell]], [[octoid]], [[quadritikleismic]], [[sqrtphi]], [[ennealimnic]], [[catakleismic]]
|-
|-
! 13-limit <br>(2.3.5.7.11.13)
! 13-limit <br>(2.3.5.7.11.13)
| [[hemififths]], [[orwell]], [[magic]]
| [[Hemififths]], [[andromeda]], [[magic]]
| [[diaschismic]], [[myna]], [[sensus]], [[meanpop]]
| [[Mystery]], [[myna]], [[sensus]], [[meanpop]]
| [[cassandra]], [[grosstone]]
| [[Cassandra]], [[diaschismic]], [[orwell]], [[grosstone]]
| [[widefourth]], [[octopus]], [[mystery]], [[buzzard]], [[catakleismic]], [[rodan]], [[shrutar]]
| [[Buzzard]], [[rodan]], [[shrutar]]
| [[abigail]], [[satin]], [[trinity]], [[newt]], [[acyuta]], [[deca]], [[quasiorwell]], [[decoid]], [[vulture]], [[hemiennealimmal]], [[emkay]], [[countercata]]
| [[Abigail]], [[newt]], [[acyuta]], [[deca]], [[quasiorwell]], [[decoid]], [[vulture]], [[hemiennealimmal]], [[emkay]], [[satin]], [[trinity]], [[widefourth]], [[countercata]], [[octopus]], [[catakleismic]]
|-
|-
! 17-limit <br>(2.3.5.7.11.13.17)
! 17-limit <br>(2.3.5.7.11.13.17)
| [[leapday]], [[superkleismic]]+, [[fokkertone]]+, [[fokkertone]]
| [[Leapday]], [[superkleismic]], [[fokkertone]]
| [[hendec]], [[marvolo]], [[diaschismic]], [[sensus]], [[andromeda]], [[modus]]
| [[Hendec]], [[sensus]], [[andromeda]], [[modus]]
| [[comptone]]
| [[Comptone]], [[diaschismic]]
| [[heinz]], [[octopus]], [[lizard]], [[rodan]], [[echidna]], [[shrutar]]
| [[Heinz]], [[octopus]], [[lizard]], [[marvolo]], [[rodan]], [[echidna]], [[shrutar]]
| [[satin]], [[trinity]], [[octoid]], [[quincy]], [[mirkat]], [[ekadash]]+, [[quadritikleismic]], [[neominor]]+, [[ennealimnic]], [[sqrtphi]]
| [[Satin]], [[trinity]], [[octoid]], [[quincy]], [[mirkat]], [[quadritikleismic]], [[ennealimnic]], [[sqrtphi]]
|-
|-
! 19-limit <br>(2.3.5.7.11.13.17.19)
! 19-limit <br>(2.3.5.7.11.13.17.19)
| [[octacot]], [[andromeda]], [[fokkertone]]+, [[fokkertone]]
| [[Fokkertone]], [[wilsec]]
| [[hendec]]+, [[sensus]]+, [[crepuscular]]+, [[hitchcock]], [[modus]]
| [[Hitchcock]], [[andromeda]]
| [[marvolo]], [[miraculous]]+
| [[Marvolo]]
| [[octopus]], [[ennealim]], [[bikleismic]], [[srutal]], [[valentino]]+
| [[Octopus]], [[ennealim]], [[bikleismic]], [[srutal]]
| [[newt|neonewt]]+, [[deca]]+, [[vulture]], [[satin]], [[stearnscape]]+, [[hemiennealimmal]], [[trinity]], [[quincy]], [[octoid]], [[sqrtphi]]
| [[Satin]], [[trinity]], [[hemiennealimmal]], [[quincy]], [[octoid]], [[sqrtphi]]
|-
|-
! Higher prime limits
! Higher prime limits
| [[winston]]+++, [[porky]]+++
|  
|  
|  
|  
| [[srutaloo]], [[shrutar]]
|
| [[satin]], [[trinity]], [[sqrtphi]]+, [[gizzard]]+, [[ketchup]], [[semisept]], [[cassandric]]
| [[Srutaloo]], [[shrutar]]
| [[Satin]], [[trinity]], [[ketchup]], [[semisept]], [[cassandric]]
|-
|-
! 2.3.5.7.other ''n''
! 2.3.5.7.other ''n''
| no-11 [[harry]], [[unicorn]]
| No-11 [[harry]], [[unicorn]]
| no-11 [[buzzard]], no-11 [[orwell]]
| No-11 [[buzzard]], no-11 [[orwell]]
| no-11 [[cassandra]]
| No-11 [[cassandra]]
| no-11 [[hemischis]]
| No-11 [[hemischis]]
| no-11 [[ennealimmal]], no-11 [[decoid]], no-11 [[ennealimnic]], no-11 [[quadritikleismic]]
| No-11 [[ennealimmal]], no-11 [[decoid]], no-11 [[ennealimnic]], no-11 [[quadritikleismic]]
|-
|-
! 2.3.5.11 <br>and its extensions
! 2.3.5.11 <br>and its extensions
| no-7 [[quintosec]], [[quintile]]+, no-7 [[maquila]], [[sensible]], [[ampersand]]+
| [[Quintosec]], no-7 [[maquila]], [[sensible]]
| [[twentcufo]], no-7 [[emka]], no-7 [[gwazy]], no-7 [[rodan]], no-7 [[cataclysmic]], no-7 [[sfourth]]
| [[Twentcufo]], no-7 [[emka]], no-7 [[gwazy]], no-7 [[rodan]], no-7 [[cataclysmic]], no-7 [[sfourth]]
|
|  
|  
| [[majvam]]+
| No-7 [[hemienneadecal]], no-7 [[vulture]]
| no-7 [[hemienneadecal]], no-7 [[vulture]]
|-
|-
! 2.3.5.other ''n''
! 2.3.5.other ''n''
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|  
|  
|  
|  
| [[majvam]]
| [[Majvam]]
|  
|  
|-
|-
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|-
|-
! 2.3.7.11 <br>and its extensions
! 2.3.7.11 <br>and its extensions
| no-5 [[quanic]]
| No-5 [[quanic]]
|  
|  
|  
|  
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|-
|-
! 2.3.7.other ''n''
! 2.3.7.other ''n''
| [[hypnosis]]
| [[Hypnosis]]
|  
|  
|  
|  
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|-
|-
! 2.3.11 <br>and its extensions
! 2.3.11 <br>and its extensions
| rank-2 [[pythrabian]]
| Rank-2 [[pythrabian]]
| rank-2 [[frameshift]]
| Rank-2 [[frameshift]]
|  
|  
|  
|  
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|  
|  
|  
|  
| [[Subgroup temperaments #Daemotertiaschis|daemotertiaschis]]
| [[Daemotertiaschis]]
|-
|-
! 2.5.other ''n''
! 2.5.other ''n''
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== Most linked-to rank-2 temperaments ==
== Most linked-to rank-2 temperaments ==
These are the top 104 rank-2 temperament pages with the most incoming links on the wiki as of 23 Oct 2025, about one year after this section was first written.
These are the top 105 rank-2 temperament pages with the most incoming links on the wiki as of 20 Oct 2026, about two years after this section was first written.


# '''[[Meantone]] (479)'''
# '''[[Meantone]] (540)'''
# '''[[Porcupine]] (195)'''
# '''[[Porcupine]] (223)'''
# '''[[Superpyth]] (162)'''
# '''[[Superpyth]] (183)'''
# '''[[Magic]] (153)'''
# '''[[Magic]] (164)'''
# '''[[Mavila]] (127)'''
# '''[[Mavila]] (135)'''
# '''[[Miracle]] (112)'''
# '''[[Orwell]] (127)'''
# '''[[Orwell]] (111)'''
# '''[[Miracle]] (125)'''
# '''[[Blackwood]] (95)'''
# '''[[Blackwood]] (113)'''
# '''[[Flattone]] (95)'''
# '''[[Pajara]] (107)'''
# '''[[Sensi]] (92)'''
# '''[[Negri]] (106)'''
# '''[[Pajara]] (91)'''
# '''[[Slendric]] (102)'''
# '''[[Slendric]] (89)'''
# '''[[Sensi]] (101)'''
# '''[[Valentine]] (87)'''
# '''[[Flattone]] (99)'''
# '''[[Tetracot]] (95)'''
# '''[[Garibaldi]] (93)'''
# '''[[Diaschismic]] (91)'''
# '''[[Valentine]] (90)'''
# '''[[Würschmidt]] (86)'''
# '''[[Würschmidt]] (86)'''
# '''[[Negri]] (84)'''
# '''[[Mohajira]] (83)'''
# '''[[Tetracot]] (82)'''
# '''[[Compton]] (78)'''
# '''[[Mohajira]] (79)'''
# [[Amity]] (73)
# '''[[Compton]] (70)'''
# [[Dicot]] (70)
# '''[[Amity]] (69)'''
# [[Diminished (temperament)|Diminished]] (68)
# '''[[Diaschismic]] (69)'''
# [[Ennealimmal]] (67)
# [[Garibaldi]] (68)
# [[Archy]] (66)
# [[Dicot]] (64)
# [[Father]] (65)
# [[Ennealimmal]] (60)
# [[Catakleismic]] (64)
# [[Father]] (60)
# [[Mothra]] (64)
# [[Diminished (temperament)|Diminished]] (59)
# [[Godzilla]] (62)
# [[Mothra]] (58)
# [[Hemififths]] (62)
# [[Myna]] (57)
# [[Squares]] (62)
# [[Rodan]] (57)
# [[Semaphore]] (60)
# [[Catakleismic]] (57)
# [[Myna]] (59)
# [[Godzilla]] (56)
# [[Hanson]] (58)
# [[Hanson]] (56)
# [[Rodan]] (58)
# [[Squares]] (55)
# [[Kleismic]] (57) (already listed as ''hanson'')
# [[Hemififths]] (54)
# [[Schismic]] (57)
# [[Injera]] (53)
# [[Augmented (temperament)|Augmented]] (56)
# [[Octacot]] (53)
# [[Injera]] (56)
# [[Semaphore]] (52)
# [[Whitewood]] (56)
# [[Harry]] (52)
# [[Harry]] (52)
# [[Archy]] (50)
# [[Didacus]] (50)
# [[Augmented (temperament)|Augmented]] (50)
# [[Buzzard]] (49)
# [[Superkleismic]] (46)
# [[Cassandra]] (49)
# [[Octacot]] (49)
# [[Superkleismic]] (48)
# [[Dominant (temperament)|Dominant]] (47)
# [[Augene]] (46)
# [[Augene]] (46)
# [[Helmholtz (temperament)|Helmholtz]] (46) (already listed as ''schismic'')
# [[Hemiwürschmidt]] (46)
# [[Keemun]] (46)
# [[Keemun]] (46)
# [[Whitewood]] (43)
# [[Liese]] (44)
# [[Buzzard]] (43)
# [[Vishnu]] (44)
# [[Orgone]] (42)
# [[Orgone]] (43)
# [[Dominant (temperament)|Dominant]] (42)
# [[Parakleismic]] (43)
# [[Kleismic]] (42) (already listed as ''hanson'')
# [[Srutal]] (43)
# [[Liese]] (42)
# [[BPS]] (42)
# [[Didacus]] (41)
# [[Lemba]] (42)
# [[Hemiwürschmidt]] (41)
# [[Passion]] (42)
# [[Parakleismic]] (41)
# [[Enneadecal]] (41)
# [[Vishnu]] (40)
# [[Vulture]] (41)
# [[Enneadecal]] (40)
# [[Escapade]] (40)
# [[Hemithirds]] (40)
# [[Hedgehog]] (40)
# [[Lemba]] (40)
# [[Ripple]] (40)
# [[Srutal]] (39)
# [[Triforce]] (40)
# [[Hedgehog]] (39)
# [[Tritonic]] (40)
# [[Luna]] (38)
# [[Nautilus]] (39)
# [[Triforce]] (38)
# [[Echidna]] (38)
# [[Echidna]] (37)
# [[Hemithirds]] (38)
# [[Ripple]] (36)
# [[Luna]] (37)
# [[Tritonic]] (36)
# [[Muggles]] (37)
# [[Escapade]] (36)
# [[Bleu]] (36)
# [[Passion]] (35)
# [[August]] (35)
# [[Schismic]] (35)
# [[Pontiac]] (35)
# [[Nautilus]] (34)
# [[Wizard]] (35)
# [[Bleu]] (34)
# [[Bohpier]] (34)
# [[Vulture]] (33)
# [[Orson]] (34)
# [[Wizard]] (33)
# [[Sensipent]] (34)
# [[Orson]] (32)
# [[Tritikleismic]] (34)
# [[Schismatic]] (32) (already listed as ''schismic'')
# [[Beatles]] (33)
# [[Unidec]] (31)
# [[Schismatic]] (33) (already listed as ''schismic'')
# [[Muggles]] (30)
# [[Unidec]] (32)
# [[Sensipent]] (30)
# [[Bug]] (31)
# [[Tritikleismic]] (30)
# [[Machine]] (31)
# [[Atomic]] (30)
# [[Gary]] (30)
# [[Leapday]] (30)
# [[Mohaha]] (30)
# [[Octoid]] (30)
# [[Porky]] (30)
# [[Unicorn]] (30)
# [[Unicorn]] (30)
# [[Beatles]] (29)
# [[Decoid]] (29)
# [[Bohpier]] (29)
# [[Doublewide]] (29)
# [[Machine]] (29)
# [[Gravity]] (29)
# [[Immunity]] (29)
# [[Misty]] (29)
# [[Newt]] (29)
# [[Shrutar]] (29)
# [[Shrutar]] (29)
# [[Tertiaseptal]] (29)
# [[Tertiaseptal]] (29)
# [[Misty]] (28)
# [[Andromeda]] (28)
# [[Mohaha]] (28)
# [[Ultrapyth]] (28)
# [[Pontiac]] (28)
# [[Porky]] (28)
# [[Semisept]] (28)
# [[August]] (28)
# [[Bug]] (28)
# [[Doublewide]] (28)
# [[Cassandra]] (27)
# [[Decimal]] (27)
# [[Immunity]] (26)
# [[Octoid]] (26)
# [[Supermajor]] (26) (disambiguation page)
# [[Quadritikleismic]] (25)
# [[Ultrapyth]] (25)
# [[Gorgo]] (25)
# [[Leapday]] (25)
# [[Atomic]] (24)
# [[Decoid]] (24)
# [[Gravity]] (24)
# [[Guiron]] (24)
# [[Quartonic]] (24)
# [[Sqrtphi]] (24)


== A simpler overview ==
== A simpler overview ==