Survey of efficient temperaments by subgroup: Difference between revisions
m →Table of temperaments (5 to 45 notes per equave): add 4 temperaments |
m Cleanup and update |
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! ~40 notes | ! ~40 notes | ||
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! 5-limit <br | ! 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 | ! 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 | ! 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 | ! 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 | ! 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 | ! 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 | ! 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 | ! 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 | ! 2.3.11 <br>and its extensions | ||
| [[ | | [[neutral (temperament)|neutral]] (2.3.11 [[rastmic]]), [[namo]], [[paralimmal]], [[io]] | ||
| [[tribilo]] (2.3.11 [[nexus]]), [[huxley]] | | [[tribilo]] (2.3.11 [[nexus]]), [[huxley]] | ||
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! 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]] | ||
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|- | |- | ||
! 2.5.7 <br | ! 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 | ! 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]] | ||
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! 3.5.7 <br | ! 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]] | ||
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! 3.7 <br | ! 3.7 <br>and its extensions | ||
| [[mintaka]] ( | | [[mintaka]] (no-13), [[keladic]] | ||
| [[mebsuta]], [[minalzidar]] | | [[mebsuta]], [[minalzidar]] | ||
| [[mintaka]] (with 13) | | [[mintaka]] (with 13) | ||
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|- | |- | ||
! 4.n <br | ! 4.''n'' <br>and its extensions | ||
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[tetrominant]] | | [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[quarchy]], [[tetrominant]] | ||
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! 5.n <br | ! 5.''n'' <br>and its extensions | ||
| [[antipyth]], [[juggernaut]] | | [[antipyth]], [[juggernaut]] | ||
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! >90 notes | ! >90 notes | ||
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! 5-limit <br | ! 5-limit <br>(2.3.5) | ||
| [[ennealimmal]], [[ | | [[ennealimmal]], [[quintosec]], [[counterhanson]], [[undim]] | ||
| [[ | | [[alphatricot]], [[quintile]] | ||
| [[minortone]], [[vavoom]] | | [[minortone]], [[vavoom]] | ||
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|- | |- | ||
! 7-limit <br | ! 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 | ! 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 | ! 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]], [[ | | [[abigail]], [[satin]], [[trinity]], [[newt]], [[acyuta]], [[deca]], [[quasiorwell]], [[decoid]], [[vulture]], [[hemiennealimmal]], [[emkay]], [[countercata]] | ||
|- | |- | ||
! 17-limit <br | ! 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 | ! 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]] | ||
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! 2.3.5.11 <br | ! 2.3.5.11 <br>and its extensions | ||
| no-7 [[ | | 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 | ! 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 | ! 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 | ! 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 | ! 2.7 <br>and its extensions | ||
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! 3.5.7 <br | ! 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 | ! 3.7 <br>and its extensions | ||
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! 4.n <br | ! 4.''n'' <br>and its extensions | ||
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! 5.n <br | ! 5.''n'' <br>and its extensions | ||
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