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autopatrolled, emailconfirmed
18,215 edits
mNo edit summary
Line 34: Line 34:
1. Subtract the smallest number in the second row of the temperament's mapping, from the largest
1. Subtract the smallest number in the second row of the temperament's mapping, from the largest
2. Multiply the result by the number of periods per equave
2. Multiply the result by the number of periods per equave




Line 62: Line 64:
| [[ennealimmal]]
| [[ennealimmal]]
|  
|  
| [[minortone]]
| [[minortone]], [[vavoom]]
|  
|  
|  
|  
Line 86: Line 88:
| [[harry]]
| [[harry]]
| [[quasiorwell]], [[catakleismic]], [[ennealimnic]], [[hemiwuerschmidt]], [[sqrtphi]], [[cassandra]]
| [[quasiorwell]], [[catakleismic]], [[ennealimnic]], [[hemiwuerschmidt]], [[sqrtphi]], [[cassandra]]
| [[hemiennealimmal]], [[hemienneadecal]], [[vishnu]], [[ennealimmal]], [[trinity]]
| [[hemiennealimmal]], [[hemienneadecal]], [[vishnu]], [[trinity]]
|-
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
| [[negric]] 0.0202
| [[negric]] 0.0202
| [[negri]] 0.0178, [[Mavila_family#Armodue|armodue]] 0.0194, [[opossum]] 0.0194, [[triforce]] 0.0203, [[blacksmith]] 0.0205, [[augene]] 0.0208, [[porcupine]] 0.0213, [[hedgehog]] 0.0215, [[godzilla]] 0.0225
| [[negri]] 0.0178, [[Mavila_family#Armodue|armodue]] 0.0194, [[opossum]] 0.0194, [[triforce]] 0.0203, [[blacksmith]] 0.0205, [[augene]] 0.0208, [[lupercalia]] 0.0213, [[porcupine]] 0.0213, [[hedgehog]] 0.0215, [[godzilla]] 0.0225
| [[winston]] 0.0199, sensis 0.0200, [[meanenneadecal]] 0.0212, [[darjeeling]] 0.0214, flattone]] 0223, [[ringo]] 0.226, [[pajara]] 0.0276
| [[meantone]] 0.0180, [[winston]] 0.0199, sensis 0.0200, [[meanenneadecal]] 0.0212, [[darjeeling]] 0.0214, flattone]] 0223, [[ringo]] 0.226, [[nusecond]] 0.0233, [[modus]] 0.0238, [[pajara]] 0.0276
| [[injera]] 0.0216, [[nautilus]] 0.223, [[undevigintone]] 0.0229, [[ogene]] 0.229, [[mohajira]] 0.0234, [[superpyth]] 0.0247, [[negroni]] 0.0353, [[diaschismic]] 0.0379
| [[mirkat]] 0.0186, [[miraculous]] 0.0187, [[andromeda]] 0.0207, [[superkleismic]] 0.0215, [[injera]] 0.0216, [[nautilus]] 0.223, [[undevigintone]] 0.0229, [[ogene]] 0.229, [[mohajira]] 0.0234, [[mothra]] 0.0240, [[superpyth]] 0.0247, [[negroni]] 0.0353, [[diaschismic]] 0.0379
| ~50 notes
| [[orwell]] 0.0197, [[magic]] 0.0215
| [[myna]] 0.0171
| [[myna]] 0.0171, [[sensus]] 0.0207, [[meanpop]] 0.0209
| [[cassandra]] 0.0207
| [[cassandra]] 0.0207
| ~80 notes
| [[catakleismic]] 0.0169, [[shrutar]] 0.0794
| >90 notes
| [[abigail]] 0.00886, [[hemiennealimmal]] 0.0125, [[harry]] 0.0130, [[semihemiennealimmal]] 0.0132, [[decoid]] 0.0134, [[trinity]] 0.0264
|-
|-
 
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
 
|
 
|
 
| [[pajara]] 0.0209
 
| [[mirkat]] 0.0118, [[miraculous]] 0.0171, [[mohajira]] 0.0173, [[injera]] 0.0184, [[meanenneadecal]] 0.0230
STILL YET TO BE RE-SORTED:
 
|
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
|  
|  
| [[orwell]], [[shrutar]], [[miraculous]], [[sensus]], [[meanpop]], [[andromeda]], [[magic]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[meantone]]
| [[sensus]] 0.0162, [[diaschismic]] 0.0164, [[modus]] 0.0215, [[andromeda]] 0.0234
| [[hemiwuerschmidt]], [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]], [[catakleismic]]
| [[semihemiennealimmal]], [[abigail]], [[ennealimmia]], [[decoid]], [[hemiennealimmal]], [[trinity]], [[enneadecal]], [[octoid]]
|-
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
|  
|  
| [[mohajira]], [[injera]], [[meanenneadecal]], [[pajara]]
| [[echidna]] 0.0203, [[shrutar]] 0.0494
| [[diaschismic]], [[echidna]], [[shrutar]], [[sensus]], [[miraculous]], [[andromeda]], [[modus]]
| [[harry]] 0.0127, [[sqrtphi]] 0.0130, [[tritikleismic]] 0.0136, [[octoid]] 0.0143, [[trinity]] 0.0256
| [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]]
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
|-
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
|  
|  
| [[mohajira]], [[injera]], [[meanenneadecal]], [[marvolo]]
|
| [[shrutar]], [[andromeda]], [[modus]], [[hitchcock]]
|
| [[sqrtphi]], [[ketchup]]
| [[injera]] 0.0151, [[mohajira]] 0.0173, [[meanenneadecal]] 0.0203, [[shrutar]] 0.0442
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
| [[andromeda]] 0.0192
| [[hitchcock]] 0.0175, [[modus]] 0.0179
| [[marvolo]] 999.999
|  
| [[sqrtphi]] 0.0147, [[octoid]] 0.0160, [[ketchup]] 0.0182, [[trinity]] 0.0184
|-
|-
! Higher prime limits
! Higher prime limits
|  
| ~10 notes per equave
| [[marvolo]]
| ~20 notes
| [[srutal]], [[shrutar]], [[hitchcock]]
| ~30 notes
| [[decistearn]], [[ketchup]]
| ~40 notes
| [[trinity]], [[satin]]
| ~50 notes
| ~60 notes
| ~70 notes
| [[shrutar]] 0.0351
| [[satin]] 0.0122, [[ketchup]] 0.0140, [[trinity]] 0.0143, [[decistearn]] 0.0917
|-
|-
! 2 . 3 . 5 . 7 . other n
! 2 . 3 . 5 . 7 . other n
| [[negra] ???,
|
| no-11 [[sensis]] 0.0200, no-11 [[meanpop]] 0.0209, no-11 [[magic]] 0.0215,
| no-11 [[catakleismic]]!0.0118
| [[unicorn]] 0.0409
|  
|  
| no-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]], [[negra]]
| no-11 [[cassandra]] 0.0207
| no-11 [[catakleismic]], no-11 [[cassandra]], [[unicorn]]
| no-11 [[hemischis]] 0.0208
| no-11 [[decoid]], no-11 [[hemischis]], no-11 [[tritikleismic]]
| no-11 [[decoid]] 0.0135, no-11 [[ennealimmal]] 0.0294
| no-11 [[ennealimmal]]
|-
|-
! 2 . 3 . 5 . 11 <br>and its extensions
! 2 . 3 . 5 . 11 . other n
| [[mavila]]
| [[porkypine]], [[mavila]]
| [[sensible]], [[mohaha]], [[porkypine]]
| [[tetracot]], [[mohaha]]
| [[tetracot]]
| [[larry]] (2.3.5.11 gravity)
| [[larry]] (2.3.5.11 [[gravity]])
|
| [[sensible]]
|
|
|
|  
|  
|-
|-
! 2 . 3 . 5 . other n
! 2 . 3 . 5 . other n
| [[stützel]]
| [[srutal archagall]], [[stutzel]]
| [[nestoria]], [[cata]], [[sensipent]], [[srutal archagall]]
| [[nestoria]], [[sensipent]]
| [[wuerschmidt]] (2.3.5.23)
| [[cata]], [[wuerschmidt]] (2.3.5.23)
|
|
|
|
|  
|  
|  
|  
|-
|-
! 2 . 3 . 7
! 2 . 3 . 7
| [[archy]], [[semaphore]]
| [[slendric]], [[bleu]], [[archy]], [[semaphore]]
| [[bleu]]
| [[skwares]]
| [[slendric]]
| no-5 [[hemififths]]
| no-5 [[hemififths]]
|
|
|
|
|
|  
|  
|-
|-
! 2 . 3 . 7 . 11 <br>and its extensions
! 2 . 3 . 7 . 11 <br>and its extensions
| [[semaphore]]
| [[bleu]], [[supra]]
| [[skwares]], [[bleu]], [[suhajira]], [[supra]]
| [[skwares]], [[suhajira]],  
| no-5 [[miracle]], [[hemififths]], [[slendric]], [[radon]]
| [[radon]], no-5 [[miracle]], no-5 [[hemififths]]
|
|
|
|
|  
|  
|  
|  
|-
|-
! 2 . 3 . 7 . other n
! 2 . 3 . 7 . other n
| no-5 [[negra]]
| [[baladic]], [[oceanfront]], no-5 [[negra]]
| [[baladic]]
|  
| [[oceanfront]]
|  
|
| [[hypnosis]]
| [[hypnosis]]
|
|
|
|  
|  
|-
|-
! 2 . 3 . 11 <br>and its extensions
! 2 . 3 . 11 <br>and its extensions
| [[paralimmal]], [[huxley]], [[io]]
| [[Rastmic_clan#Neutral|neutral] (2.3.11 [[rastmic]]), [[namo]], [[paralimmal]], [[io]]
| 2.3.11 [[pythrabian]], [[neutral]] (2.3.11 [[rastmic]]), [[namo]]
| [[tribilo]] (2.3.11 [[nexus]]), [[huxley]]
| [[tribilo]] (2.3.11 [[nexus]])
|  
|  
|
| 2.3.11 [[pythrabian]]
| 2.3.11 [[frameshift]]
| 2.3.11 [[frameshift]]
|
|
|
|-
|-
!2 . 3 . other n
! 2 . 3 . other n
| [[barbados]], [[superflat]], [[hydrothermal]], [[dog]]
| [[boethian]], [[barbados]], [[superflat]], [[semitonic]], [[hydrothermal]], [[dog]]
| [[threedic]], [[semitonic]]
| [[threedic]], [[pepperoni]]
| [[boethian]], [[pepperoni]]
| [[Subgroup_temperaments#Historical|historical]]
| [[historical]]
|
|
|
|
|
|
|  
|-
|-
! 2 . 5 . 7 <br>and its extensions
! 2 . 5 . 7 <br>and its extensions
| no-3 [[oodako]], no-3 [[pajara]]
| [[didacus]], [[frostburn]], no-3 [[oodako]]
| [[didacus]], [[llywelyn]]
| [[baldy]], [[rainy]], [[llywelyn]], [[mercy]]
| [[rainy]], [[mercy]], [[frostburn]], [[baldy]]
|
|
|
|
|
|
| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
| [[ostara]]
|-
|-
! 2 . 5 . other n
! 2 . 5 . other n
| [[movila]]
| [[movila]], [[insect]], [[superquintal]], [[wizz]], [[trader]], [[vengeance]], [[marveltri]], [[sulis]]
| [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[trader]]
|
| [[insect]], [[sulis]]
|
|
|
|
|
|  
|  
|  
|  
|-
|-
! 2 . 7 <br>and its extensions
! 2 . 7 <br>and its extensions
| [[ultrakleismic]], [[shipwreck]], [[mabon]], [[demon]], [[machine]]
| [[orgone]], [[machine]], [[stacks]], [[ultrakleismic]], [[shipwreck]], [[demon]]
| [[orgone]], [[counterultrakleismic]], [[machine|apparatus]]
| [[machine|mechanism]], [[counterultrakleismic]], [[mabon]]
| [[stacks]], [[machine|mechanism]]
|  
|
| [[machine|apparatus]]
|
|
|
|  
|  
|  
|-
|-
! 3 . 5 . 7 <br>and its extensions
! 3 . 5 . 7 <br>and its extensions
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[vega]]
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[https://en.xen.wiki/w/Catalog_of_3.5.7_subgroup_rank_two_temperaments|vega]], [[dubhe]] (3.5.7.17)
| [[mintra]] (3.5.7.11), [[dubhe]] (3.5.7.17)
| [[izar]], [[mintra]] (3.5.7.11)
| [[miaplacidus]], [[mintra]] (3.5.7.11.13)
| [[No-twos_subgroup_temperaments#Alhena|alhena]]
| [[izar]], [[BPS|athena]]
|
|
|
|
|  
|  
|  
|-
|-
!3 . 5 . other n
! 3 . 5 . other n
| [[polaris]], [[aldebaran]]
| [[polaris]], [[aldebaran]], [[deneb]]
| [[deneb]]
|
| [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]]
|
| [[alnilam]]
| [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]], [[alnilam]]
|
|
|
|
|
|  
|-
|-
! 3 . 7 <br>and its extensions
! 3 . 7 <br>and its extensions
| [[mintaka]] (3.7.11), [[keladic]]
| [[mintaka]] (3.7.11), [[keladic]]
| [[mintaka]] (3.7.11.13), [[minalzidar]]
| [[mebsuta]], [[minalzidar]]
| [[mebsuta]]
| [[mintaka]] (3.7.11.13)
|  
|
|
|
|
|  
|  
|
|-
|-
! 4 . n <br>and its extensions
! 4 . n <br>and its extensions
| [[tetrameantone]], [[quarchy]]
| [[tetrahanson]], [[meanquad]], [[tetrominant]], [[tetrameantone]], [[quarchy]]
| [[tetrahanson]], [[meanquad]]
|
| [[Subgroup temperaments#Fourwar|fourwar]]
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|
|
|
|  
|  
|  
|  
|-
|-
! 5 . n <br>and its extensions
! 5 . n <br>and its extensions
| [[juggernaut]]
| [[antipyth]], [[juggernaut]]
| [[antipyth]]
|
|
|
|
|
|  
|  
|  
|  
Line 248: Line 311:
|-
|-
! Other subgroups
! Other subgroups
| [[halftone]], [[semiwolf]], [[auk]]
| [[greeley]], [[halftone]], [[semiwolf]], [[auk]]
| [[greeley]]
|  
|
|
|
|
|  
|  
|  
|  
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