Survey of efficient temperaments by subgroup: Difference between revisions

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m Cleanup and update
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! ~40 notes
! ~40 notes
|-
|-
! 5-limit <br />(2.3.5)
! 5-limit <br>(2.3.5)
| [[hanson]], [[misty]], [[magic]], [[meantone]], [[negri]], [[augmented]], [[porcupine]], [[dimipent]], [[whitewood]], [[blackwood]], [[mavila]]
| [[hanson]], [[misty]], [[magic]], [[meantone]], [[negri]], [[augmented]], [[porcupine]], [[dimipent]], [[whitewood]], [[blackwood]], [[mavila]]
| [[helmholtz]], [[orson]], [[wuerschmidt]], [[sensipent]], [[compton]], [[valentine]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]]
| [[helmholtz]], [[orson]], [[wuerschmidt]], [[sensipent]], [[compton]], [[valentine]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]]
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| [[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]], [[august]], [[diminished]], [[blacksmith]]
| [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant]], [[august]], [[diminished]], [[blacksmith]]
| [[orwell]], [[valentine]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese]], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]],  [[lemba]]
| [[orwell]], [[valentine]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese]], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]],  [[lemba]]
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| [[misty]], [[unidec]], [[catakleismic]]
| [[misty]], [[unidec]], [[catakleismic]]
|-
|-
! 11-limit <br />(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
| [[triforce]], [[blacksmith]], [[pajaric]], [[negric]]
| [[triforce]], [[blacksmith]], [[pajaric]], [[negric]]
| [[orwell]], [[valentine]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant]], [[meanenneadecal]], [[duodecim]]
| [[orwell]], [[valentine]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant]], [[meanenneadecal]], [[duodecim]]
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| [[miracle]], [[shrutar]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]]
| [[miracle]], [[shrutar]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]]
|-
|-
! 13-limit <br />(2.3.5.7.11.13)
! 13-limit <br>(2.3.5.7.11.13)
| [[negric]]
| [[negric]]
| [[augene]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negri]], [[armodue]]
| [[augene]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negri]], [[armodue]]
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| [[mirkat]], [[diaschismic]], [[miraculous]], [[andromeda]], [[superkleismic]], [[mothra]], [[mohajira]], [[undevigintone]], [[ogene]], [[nautilus]], [[negroni]], [[injera]]
| [[mirkat]], [[diaschismic]], [[miraculous]], [[andromeda]], [[superkleismic]], [[mothra]], [[mohajira]], [[undevigintone]], [[ogene]], [[nautilus]], [[negroni]], [[injera]]
|-
|-
! 17-limit <br />(2.3.5.7.11.13.17)
! 17-limit <br>(2.3.5.7.11.13.17)
|  
|  
| [[lemba]]+, [[hedgehog]]+
| [[lemba]]+, [[hedgehog]]+
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| [[mirkat]], [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[meantoid]], [[injera]], [[meanenneadecal]]
| [[mirkat]], [[miraculous]], [[lupercalia]]+, [[mohajira]], [[superpyth]]+, [[meantoid]], [[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]]++
| [[niner]]++
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| [[lupercalia]]+++, [[nautilus]]+++, [[negroni]]+++, [[injera]]+
| [[lupercalia]]+++, [[nautilus]]+++, [[negroni]]+++, [[injera]]+
|-
|-
! 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]]
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| no-11 [[catakleismic]]
| no-11 [[catakleismic]]
|-
|-
! 2.3.5.11 <br />and its extensions
! 2.3.5.11 <br>and its extensions
| [[porkypine]], [[mavila]], [[dicot]]
| [[porkypine]], [[mavila]], [[dicot]]
| [[orson]]+, [[tetracot]], [[mohaha]]
| [[orson]]+, [[tetracot]], [[mohaha]]
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| [[escapade]]
| [[escapade]]
|-
|-
! 2.3.5.other n
! 2.3.5.other ''n''
| [[srutal archagall]], [[stutzel]]
| [[srutal archagall]], [[stutzel]]
| [[sensipent]], [[nestoria]]
| [[sensipent]], [[nestoria]]
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|  
|  
|-
|-
! 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]], [[stearnsmic clan|stearnsmic]]+, [[suhajira]]
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|  
|  
|-
|-
! 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]]
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| [[slendric]]+
| [[slendric]]+
|-
|-
! 2.3.11 <br />and its extensions
! 2.3.11 <br>and its extensions
| [[Rastmic_clan#Neutral|neutral]] (2.3.11 [[rastmic]]), [[namo]], [[paralimmal]], [[io]]
| [[neutral (temperament)|neutral]] (2.3.11 [[rastmic]]), [[namo]], [[paralimmal]], [[io]]
| [[tribilo]] (2.3.11 [[nexus]]), [[huxley]]
| [[tribilo]] (2.3.11 [[nexus]]), [[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]]
| [[didacus]], [[frostburn]], no-3 [[oodako]]
| [[rainy]], [[mercy]], [[huntington]], [[llywelyn]], [[baldy]]
| [[rainy]], [[mercy]], [[huntington]], [[llywelyn]], [[baldy]]
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|  
|  
|-
|-
! 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]], [[wizz]]+
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|  
|  
|-
|-
! 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]]
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| [[machine|apparatus]]
| [[machine|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]], [[Catalog of 3.5.7 subgroup rank two temperaments|vega]]  
| [[izar]], [[mintra]]
| [[izar]], [[mintra]]
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| [[erigone]]
| [[erigone]]
|-
|-
! 3.5.other n
! 3.5.other ''n''
| [[aldebaran]], [[deneb]], [[polaris]]
| [[aldebaran]], [[deneb]], [[polaris]]
|  
|  
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| [[alnilam]], [[fomalhaut]]
| [[alnilam]], [[fomalhaut]]
|-
|-
! 3.7 <br />and its extensions
! 3.7 <br>and its extensions
| [[mintaka]] (w.o. 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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|  
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|-
|-
! 5.n <br />and its extensions
! 5.''n'' <br>and its extensions
| [[antipyth]], [[juggernaut]]
| [[antipyth]], [[juggernaut]]
|  
|  
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! >90 notes
! >90 notes
|-
|-
! 5-limit <br />(2.3.5)
! 5-limit <br>(2.3.5)
| [[ennealimmal]], [[qintosec]], [[counterhanson]], [[undim]]
| [[ennealimmal]], [[quintosec]], [[counterhanson]], [[undim]]
| [[tricot]], [[pental]]
| [[alphatricot]], [[quintile]]
| [[minortone]], [[vavoom]]
| [[minortone]], [[vavoom]]
|  
|  
|  
|  
|-
|-
! 7-limit <br />(2.3.5.7)
! 7-limit <br>(2.3.5.7)
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]], [[quadritikleismic]], [[grendel]], [[unidec]]
| [[hendecatonic]]
| [[hendecatonic]]
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| [[supermajor]], [[enneadecal]], [[term]]
| [[supermajor]], [[enneadecal]], [[term]]
|-
|-
! 11-limit <br />(2.3.5.7.11)
! 11-limit <br>(2.3.5.7.11)
| [[unidec]], [[tritikleismic]], [[hemithirds]], [[wizard]], [[diaschismic]]
| [[unidec]], [[tritikleismic]], [[hemithirds]], [[wizard]], [[diaschismic]]
|  
|  
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| [[hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]]
| [[hemienneadecal]], [[hemiennealimmal]], [[abigail]], [[hemitert]], [[newt]], [[decoid]], [[vishnu]]
|-
|-
! 13-limit <br />(2.3.5.7.11.13)
! 13-limit <br>(2.3.5.7.11.13)
| [[hemififths]], [[orwell]], [[magic]]
| [[hemififths]], [[orwell]], [[magic]]
| [[mystery]], [[myna]], [[sensus]], [[meanpop]]
| [[mystery]], [[myna]], [[sensus]], [[meanpop]]
| [[cassandra]]
| [[cassandra]]
| [[widefourth]], [[octopus]], [[buzzard]], [[catakleismic]], [[rodan]], [[shrutar]]
| [[widefourth]], [[octopus]], [[buzzard]], [[catakleismic]], [[rodan]], [[shrutar]]
| [[abigail]], [[satin]], [[trinity]], [[newt]], [[acyuta]], [[deca]], [[quasiorwell]], [[decoid]], [[vulture]], [[hemiennealimmal]], [[Horwell_temperaments#Emkay|emkay]], [[countercata]]
| [[abigail]], [[satin]], [[trinity]], [[newt]], [[acyuta]], [[deca]], [[quasiorwell]], [[decoid]], [[vulture]], [[hemiennealimmal]], [[emkay]], [[countercata]]
|-
|-
! 17-limit <br />(2.3.5.7.11.13.17)
! 17-limit <br>(2.3.5.7.11.13.17)
| [[leapday]], [[superkleismic]]+, [[meantonic]], [[huygens]]
| [[leapday]], [[superkleismic]]+, [[meantonic]], [[huygens]]
| [[hendec]], [[marvolo]], [[diaschismic]], [[sensus]], [[andromeda]], [[modus]]
| [[hendec]], [[marvolo]], [[diaschismic]], [[sensus]], [[andromeda]], [[modus]]
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| [[satin]], [[trinity]], [[octoid]], [[quincy]], [[mirkat]], [[ekadash]]+, [[quadritikleismic]], [[neominor]]+, [[ennealimnic]], [[sqrtphi]]
| [[satin]], [[trinity]], [[octoid]], [[quincy]], [[mirkat]], [[ekadash]]+, [[quadritikleismic]], [[neominor]]+, [[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]], [[meantonic]], [[huygens]]
| [[octacot]], [[andromeda]], [[meantonic]], [[huygens]]
| [[hendec]]+, [[sensus]]+, [[crepuscular]]+, [[hitchcock]], [[modus]]
| [[hendec]]+, [[sensus]]+, [[crepuscular]]+, [[hitchcock]], [[modus]]
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| [[satin]], [[trinity]], [[sqrtphi]]+, [[gizzard]]+, [[ketchup]], [[semisept]], [[cassandric]]
| [[satin]], [[trinity]], [[sqrtphi]]+, [[gizzard]]+, [[ketchup]], [[semisept]], [[cassandric]]
|-
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! 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]]
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| 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 [[qintosec]], [[pental]]+, no-7 [[maquila]], [[sensible]], [[ampersand]]+
| no-7 [[quintosec]], [[quintile]]+, no-7 [[maquila]], [[sensible]], [[ampersand]]+
| [[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]]
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| no-7 [[hemienneadecal]], no-7 [[vulture]]
| no-7 [[hemienneadecal]], no-7 [[vulture]]
|-
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! 2.3.5.other n
! 2.3.5.other ''n''
|  
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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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! 2.3.other n
! 2.3.other ''n''
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! 2.5.7 <br />and its extensions
! 2.5.7 <br>and its extensions
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| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
| [[Subgroup temperaments #Daemotertiaschis|daemotertiaschis]]
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! 2.5.other n
! 2.5.other ''n''
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! 2.7 <br />and its extensions
! 2.7 <br>and its extensions
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! 3.5.7 <br />and its extensions
! 3.5.7 <br>and its extensions
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! 3.5.other n
! 3.5.other ''n''
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! 3.7 <br />and its extensions
! 3.7 <br>and its extensions
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|-
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! 4.n <br />and its extensions
! 4.''n'' <br>and its extensions
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! 5.n <br />and its extensions
! 5.''n'' <br>and its extensions
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