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Survey of efficient temperaments by subgroup: Difference between revisions

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Review for the 11- & 13-limit
Rodan in 5-limit but missing in 7-limit looks like a mistake; move it to 7-limit. Also add it to 11-limit since it's present in 13-limit
 
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| [[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]]
| [[Luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[misty]], [[gravity]], [[rodan]]
| [[Luna]], [[vishnu]], [[parakleismic]], [[escapade]], [[amity]], [[misty]], [[gravity]]
| [[Enneadecal]], [[gammic]], [[vulture]]
| [[Enneadecal]], [[gammic]], [[vulture]]
|-
|-
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| [[Magic]], [[meantone]], [[superpyth]], [[liese]], [[augene]], [[porcupine]], [[pajara]], [[negri]], [[keemun]], [[catler]], [[godzilla]], [[hedgehog]], [[injera]], [[nautilus]], [[diminished (temperament)|diminished]]
| [[Magic]], [[meantone]], [[superpyth]], [[liese]], [[augene]], [[porcupine]], [[pajara]], [[negri]], [[keemun]], [[catler]], [[godzilla]], [[hedgehog]], [[injera]], [[nautilus]], [[diminished (temperament)|diminished]]
| [[Garibaldi]], [[orwell]], [[sensi]], [[mothra]], [[flattone]], [[beatles]], [[doublewide]], [[lemba]]
| [[Garibaldi]], [[orwell]], [[sensi]], [[mothra]], [[flattone]], [[beatles]], [[doublewide]], [[lemba]]
| [[Catakleismic]], [[miracle]], [[valentine]], [[myna]], [[diaschismic]]
| [[Catakleismic]], [[miracle]], [[rodan]], [[valentine]], [[myna]], [[diaschismic]]
|-
|-
! 11-limit <br>(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
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|  
|  
| [[Porcupinefowl]], [[hedgehog]], [[triforce]], [[godzilla]], [[augene]], [[negric]], [[negri]], [[armodue (temperament)|armodue]]
| [[Porcupinefowl]], [[hedgehog]], [[triforce]], [[godzilla]], [[augene]], [[negric]], [[negri]], [[armodue (temperament)|armodue]]
| [[Winston]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]], [[pajara]]
| [[Winston]], [[sensis]], [[ringo]], [[flattone]], [[darjeeling]], [[meanenneadecal]], [[paja]]
| [[Miraculous]], [[leapday]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[mohajira]], [[fokkertone]], [[undevigintone]], [[ogene]], [[negroni]], [[nautilus]], [[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]]+
| [[Paja]], [[pajarous]]
| [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[fokkertone]]+, [[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]], [[fokkertone]]++
| [[Mohajira]], [[injera]], [[meanenneadecal]]
|-
|-
! Higher prime limits
! Higher prime limits
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|  
|  
|  
| [[lupercalia]]+++, [[nautilus]]+++, [[negroni]]+++, [[injera]]+
|  
|}
|}


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|-
|-
! 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]]
|  
|  
|  
|  
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|-
|-
! 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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! 11-limit <br>(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
| [[Meanpop]]
| [[Meanpop]]
| [[Unidec]], [[wizard]], [[diaschismic]]
| [[Unidec]], [[wizard]], [[rodan]], [[diaschismic]]
| [[Harry]], [[hemithirds]]
| [[Harry]], [[hemithirds]]
| [[Tritikleismic]], [[hemiwürschmidt]]
| [[Tritikleismic]], [[hemiwürschmidt]]
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|-
|-
! 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]]
| [[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]]+, [[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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|  
|-
|-
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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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