User:BudjarnLambeth/Sandbox: Difference between revisions

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The temperaments in each cell are listed by damahe (least to most).


(^) = list item has not yet been ordered by damage
(^^^) = cell is currently ordered alphabetically, needs to be re-ordered by damage
(£££) = cell is currently ordered by badness, needs to be re-ordered by damage
(!!) = todo: check that none of the ones in this cell are extreme exotemperaments (>20 cents error on most intervals), remove them if they are


{| class="wikitable center-all"
{| class="wikitable center-all"
Line 58: Line 66:
|-
|-
! 5-limit <br>(2 . 3 . 5)
! 5-limit <br>(2 . 3 . 5)
| [[meantone]], [[hanson]], [[augmented]], [[porcupine]], [[magic]], [[mavila]], [[dimipent]], [[blackwood]], [[negri]], [[misty]], [[whitewood]]
| [[hanson]], [[magic]], [[meantone]], [[negri]], [[augmented]], [[porcupine]], [[dimipent]], [[mavila]], [[blackwood]], [[misty]](^), [[whitewood]](^)
| [[wuerschmidt]], [[orson]], [[helmholtz]], [[sensipent]], [[diaschismic], [[tetracot]], [[compton]], [[valentine]], [[superpyth]], [[ripple]], [[passion]]
| [[helmhpltz]], [[orson]], [[wuerschmidt]], [[sensipent]], [[compton]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]], [[valentine]](^)
| [[kwazy]], [[luna]], [[amity]], [[vishnu]], [[parakleismic]], [[gravity]]
| [[luna]], [[vishnu]], [[amity]], [[gravity]](^), [[kwazy]](^), [[parakleismic]](^)
|  
|  
| [[ennealimmal]]
| [[ennealimmal]]
|  
|  
| [[minortone]], [[vavoom]]
| [[minortone]](^), [[vavoom]](^)
|  
|  
|  
|  
|-
|-
! 7-limit <br>(2 . 3 . 5 . 7)
! 7-limit <br>(2 . 3 . 5 . 7)
| [[pajara]], [[dominant]], [[diminished]], [[blacksmith]], [[august]], [[negri]], [[keemun]], [[injera]], [[porcupine]], [[doublewide]], [[inflated]], [[triforce]], [[superpelog]], [[shrutar]]
| [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant]], [[august]], [[diminished]], [[blacksmith]]
| [[meantone]], [[magic]], [[orwell]], [[augene]], [[myna]], [[godzilla], [[valentine]], [[superpyth]], [[mothra]], [[flattone]], [[opossum]], [[hedgehog]], [[beatles]], [[liese]], [[catler]], [[nautilus]], [[schism]], [[lemba]]
| [[orwell]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]], [[lemba]], [[schism]](^), [[valentine]](^)
| [[miracle]], [[hemiwuerschmidt]], [[garibaldi]], [[amity]], [[sensi]], [[harry]], [[diaschismic]]
| [[miracle]], [[garibaldi]], [[sensi]], [[amity]](^), [[diaschismic]](^), [[harry]](^), [[hemiwuerschmidt]](^)
| [[catakleismic]], [[misty]], [[unidec]]
| [[catakleismic]], [[misty]], [[unidec]] (^^^)
| [[ennealimmal]], [[tertiaseptal]], [[hemififths]]
| [[ennealimmal]], [[hemififths]], [[tertiaseptal]] (^^^)
|  
|  
| [[sesquiquartififths]], [[parakleismic]]
| [[parakleismic]], [[sesquiquartififths]] (^^^)
|
|
| [[enneadecal]], [[Ragismic_microtemperaments#Supermajor|supermajor]], [[pontiac]], [[trinity]]
| [[enneadecal]], [[pontiac]],[[Ragismic_microtemperaments#Supermajor|supermajor]] (^^^)
|-
|-
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
| [[august]], [[pajaric]], [[triforce]], [[blacksmith]]
| [[august]], [[blacksmith]], [[pajaric]], [[triforce]] (^^^)
| [[orwell]], [[valentine]], [[augene]], [[meanenneadecal]], [[porcupine]], [[opossum]], [[hedgehog]], [[dominant]], [[nautilus]], [[mohajira]], [[catnip]], [[keemun]], [[superpelog]], [[duodecim]], [[negric]], [[progress]], [[injera]], [[undevigintone]], [[astrology]], [[vigintiduo]]
| [[orwell]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant]], [[negric]], [[meanenneadecal]], [[duodecim]], [[opossum]], [[valentine]](^)
| [[meantone]], [[pajara]], [[squares]], [[nusecond]], [[telepathy]], [[porky]], [[darjeeling]], [[pajarous]], [[sensis]], [[godzilla]], [[quasisupra]], [[suprapyth]], [[flattone]], [[fleetwood]], [[negroni]], [[mothra]]
| [[nusecond]], [[squares]], [[meantone]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[negroni]], [[porky]], [[fleetwood]], [[pajarous]], [[sensis]], [[flattone]], [[godzilla]], [[darjeeling]], [[mothra]](^)
| [[miracle]], [[magic]], [[meanpop]], [[andromeda]], [[superpyth]], [[migration]], [[shrutar]
| [[miracle]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]], [[shrutar]](^)
| [[unidec]], [[wizard]], [[hemithirds]], [[tritikleismic]], [[diaschismic]]
| [[diaschismic]], [[hemithirds]], [[tritikleismic]], [[unidec]], [[wizard]] (^^^)
|  
|  
| [[harry]]
| [[harry]]
| [[quasiorwell]], [[catakleismic]], [[ennealimnic]], [[hemiwuerschmidt]], [[sqrtphi]], [[cassandra]]
| [[cassandra]], [[catakleismic]], [[ennealimnic]], [[hemiwuerschmidt]], [[quasiorwell]], [[sqrtphi]] (^^^)
| [[hemiennealimmal]], [[hemienneadecal]], [[vishnu]], [[trinity]]
| [[hemienneadecal]], [[hemiennealimmal]], [[trinity]], [[vishnu]] (^^^)
|-
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
| [[negric]] 0.0202
| [[negric]]
| [[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
| [[negri]], [[Mavila_family#Armodue|armodue]], [[opossum]], [[triforce]], [[blacksmith]], [[augene]], [[lupercalia]], [[porcupine]], [[hedgehog]], [[godzilla]] (£££)
| [[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
| [[meantone]], [[winston]], sensis, [[meanenneadecal]], [[darjeeling]], [[flattone]], [[ringo]], [[nusecond]], [[modus]], [[pajara]] (£££)
| [[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
| [[mirkat]], [[miraculous]], [[andromeda]], [[superkleismic]], [[injera]], [[nautilus]] , [[undevigintone]], [[ogene]], [[mohajira]], [[mothra]], [[superpyth]], [[negroni]], [[diaschismic]] (£££)
| [[orwell]] 0.0197, [[magic]] 0.0215
| [[orwell]], [[magic]] (£££)
| [[myna]] 0.0171, [[sensus]] 0.0207, [[meanpop]] 0.0209
| [[myna]], [[sensus]], [[meanpop]] (£££)
| [[cassandra]] 0.0207
| [[cassandra]]
| [[catakleismic]] 0.0169, [[shrutar]] 0.0794
| [[catakleismic]], [[shrutar]] (£££)
| [[abigail]] 0.00886, [[hemiennealimmal]] 0.0125, [[harry]] 0.0130, [[semihemiennealimmal]] 0.0132, [[decoid]] 0.0134, [[trinity]] 0.0264
| [[abigail]], [[hemiennealimmal]], [[harry]], [[semihemiennealimmal]], [[decoid]], [[trinity]] (£££)
|-
|-
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
|  
|  
|  
|  
| [[pajara]] 0.0209
| [[pajara]]
| [[mirkat]] 0.0118, [[miraculous]] 0.0171, [[mohajira]] 0.0173, [[injera]] 0.0184, [[meanenneadecal]] 0.0230
| [[mirkat]], [[miraculous]], [[mohajira]], [[injera]], [[meanenneadecal]] (£££)
|  
|  
| [[sensus]] 0.0162, [[diaschismic]] 0.0164, [[modus]] 0.0215, [[andromeda]] 0.0234
| [[sensus]], [[diaschismic]], [[modus]], [[andromeda]] (£££)
|  
|  
| [[echidna]] 0.0203, [[shrutar]] 0.0494
| [[echidna]], [[shrutar]] (£££)
| [[harry]] 0.0127, [[sqrtphi]] 0.0130, [[tritikleismic]] 0.0136, [[octoid]] 0.0143, [[trinity]] 0.0256
| [[harry]], [[sqrtphi]], [[tritikleismic]], [[octoid]], [[trinity]] (£££)
|-
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
Line 116: Line 124:
|  
|  
|  
|  
| [[injera]] 0.0151, [[mohajira]] 0.0173,  [[meanenneadecal]] 0.0203, [[shrutar]] 0.0442
| [[injera]], [[mohajira]],  [[meanenneadecal]], [[shrutar]] (£££)
| [[andromeda]] 0.0192
| [[andromeda]]
| [[hitchcock]] 0.0175, [[modus]] 0.0179
| [[hitchcock]], [[modus]] (£££)
| [[marvolo]] 999.999
| [[marvolo]]
|  
|  
| [[sqrtphi]] 0.0147, [[octoid]] 0.0160, [[ketchup]] 0.0182, [[trinity]] 0.0184
| [[sqrtphi]], [[octoid]], [[ketchup]], [[trinity]] (£££)
|-
|-
! Higher prime limits
! Higher prime limits
| ~10 notes per equave
|  
| ~20 notes
|  
| ~30 notes
|  
| ~40 notes
|  
| ~50 notes
|  
| ~60 notes
|  
| ~70 notes
|  
| [[shrutar]] 0.0351
| [[shrutar]]
| [[satin]] 0.0122, [[ketchup]] 0.0140, [[trinity]] 0.0143, [[decistearn]] 0.0917
| [[satin]], [[ketchup]], [[trinity]] (£££)
|-
|-
! 2 . 3 . 5 . 7 . other n
! 2 . 3 . 5 . 7 . other n
| [[negra] ???,
| [[negra]
|  
|  
| no-11 [[sensis]] 0.0200, no-11 [[meanpop]] 0.0209, no-11 [[magic]] 0.0215,
| no-11 [[sensis]], no-11 [[meanpop]], no-11 [[magic]] (£££)
| no-11 [[catakleismic]]!0.0118
| no-11 [[catakleismic]]
| [[unicorn]] 0.0409
| [[unicorn]]
|  
|  
| no-11 [[cassandra]] 0.0207
| no-11 [[cassandra]]
| no-11 [[hemischis]] 0.0208
| no-11 [[hemischis]]
| no-11 [[decoid]] 0.0135, no-11 [[ennealimmal]] 0.0294
| no-11 [[decoid]], no-11 [[ennealimmal]] (£££)
|-
|-
! 2 . 3 . 5 . 11 . other n
! 2 . 3 . 5 . 11 . other n
| [[porkypine]], [[mavila]]
| [[mavila]], [[porkypine]] (^^^)
| [[tetracot]], [[mohaha]]
| [[mohaha]], [[tetracot]] (^^^)
| [[larry]] (2.3.5.11 gravity)
| [[larry]] (2.3.5.11 gravity)
|  
|  
Line 157: Line 165:
|-
|-
! 2 . 3 . 5 . other n
! 2 . 3 . 5 . other n
| [[srutal archagall]], [[stutzel]]
| [[srutal archagall]], [[stutzel]] (^^^)
| [[nestoria]], [[sensipent]]
| [[nestoria]], [[sensipent]] (^^^)
| [[cata]], [[wuerschmidt]] (2.3.5.23)
| [[cata]], [[wuerschmidt]] (2.3.5.23) (^^^)
|  
|  
|  
|  
Line 168: Line 176:
|-
|-
! 2 . 3 . 7
! 2 . 3 . 7
| [[slendric]], [[bleu]], [[archy]], [[semaphore]]
| [[archy]], [[bleu]], [[semaphore]], [[slendric]] (^^^)
| [[skwares]]
| [[skwares]]
| no-5 [[hemififths]]
| no-5 [[hemififths]]
Line 179: Line 187:
|-
|-
! 2 . 3 . 7 . 11 <br>and its extensions
! 2 . 3 . 7 . 11 <br>and its extensions
| [[bleu]], [[supra]]
| [[bleu]], [[supra]] (^^^)
| [[skwares]], [[suhajira]],
| [[skwares]], [[suhajira]] (^^^)
| [[radon]], no-5 [[miracle]], no-5 [[hemififths]]
| no-5 [[miracle]], [[radon]], no-5 [[hemififths]] (^^^)
|  
|  
|  
|  
Line 190: Line 198:
|-
|-
! 2 . 3 . 7 . other n
! 2 . 3 . 7 . other n
| [[baladic]], [[oceanfront]], no-5 [[negra]]
| [[baladic]], no-5 [[negra]], [[oceanfront]] (^^^)
|  
|  
|  
|  
Line 201: Line 209:
|-
|-
! 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]]
| [[io]], [[namo], [[Rastmic_clan#Neutral|neutral] (2.3.11 [[rastmic]]), [[paralimmal]] (^^^) (!!)
| [[tribilo]] (2.3.11 [[nexus]]), [[huxley]]
| [[huxley]], [[tribilo]] (2.3.11 [[nexus]]) (^^^)
|  
|  
|  
|  
Line 212: Line 220:
|-
|-
! 2 . 3 . other n
! 2 . 3 . other n
| [[boethian]], [[barbados]], [[superflat]], [[semitonic]], [[hydrothermal]], [[dog]]
| [[barbados]], [[boethian]], [[dog]], [[hydrothermal]], [[semitonic]], [[superflat]] (^^^) (!!)
| [[threedic]], [[pepperoni]]
| [[pepperoni]], [[threedic]] (^^^)
| [[Subgroup_temperaments#Historical|historical]]
| [[Subgroup_temperaments#Historical|historical]]
|  
|  
Line 223: Line 231:
|-
|-
! 2 . 5 . 7 <br>and its extensions
! 2 . 5 . 7 <br>and its extensions
| [[didacus]], [[frostburn]], no-3 [[oodako]]
| [[didacus]], [[frostburn]], no-3 [[oodako]] (^^^) (!!)
| [[baldy]], [[rainy]], [[llywelyn]], [[mercy]]
| [[baldy]], [[llywelyn]], [[mercy]], [[rainy]] (^^^)
|  
|  
|  
|  
Line 234: Line 242:
|-
|-
! 2 . 5 . other n
! 2 . 5 . other n
| [[movila]], [[insect]], [[superquintal]], [[wizz]], [[trader]], [[vengeance]], [[marveltri]], [[sulis]]
| [[insect]], [[marveltri]], [[movila]], [[sulis]], [[superquintal]], [[trader]], [[vengeance]], [[wizz]] (^^^) (!!)
|  
|  
|  
|  
Line 245: Line 253:
|-
|-
! 2 . 7 <br>and its extensions
! 2 . 7 <br>and its extensions
| [[orgone]], [[machine]], [[stacks]], [[ultrakleismic]], [[shipwreck]], [[demon]]
| [[demon]], [[machine]], [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]] (^^^) (!!)
| [[machine|mechanism]], [[counterultrakleismic]], [[mabon]]
| [[counterultrakleismic]], [[mabon]], [[machine|mechanism]] (^^^)
|  
|  
| [[machine|apparatus]]
| [[machine|apparatus]]
Line 256: Line 264:
|-
|-
! 3 . 5 . 7 <br>and its extensions
! 3 . 5 . 7 <br>and its extensions
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[https://en.xen.wiki/w/Catalog_of_3.5.7_subgroup_rank_two_temperaments|vega]], [[dubhe]] (3.5.7.17)
| [[arcturus]], [[BPS]], [[canopus]], [[dubhe]] (3.5.7.17), [[sirius]], [[Catalog of 3.5.7 subgroup rank two temperaments|vega]] (^^^)
| [[izar]], [[mintra]] (3.5.7.11)
| [[izar]], [[mintra]] (3.5.7.11) (^^^)
| [[No-twos_subgroup_temperaments#Alhena|alhena]]
| [[No-twos_subgroup_temperaments#Alhena|alhena]]
|  
|  
Line 267: Line 275:
|-
|-
! 3 . 5 . other n
! 3 . 5 . other n
| [[polaris]], [[aldebaran]], [[deneb]]
| [[aldebaran]], [[deneb]], [[polaris]] (^^^)
|  
|  
|  
|  
| [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]], [[alnilam]]
| [[alnilam]], [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]] (^^^)
|  
|  
|  
|  
Line 278: Line 286:
|-
|-
! 3 . 7 <br>and its extensions
! 3 . 7 <br>and its extensions
| [[mintaka]] (3.7.11), [[keladic]]
| [[keladic]], [[mintaka]] (3.7.11) (^^^)
| [[mebsuta]], [[minalzidar]]
| [[mebsuta]], [[minalzidar]] (^^^)
| [[mintaka]] (3.7.11.13)
| [[mintaka]] (3.7.11.13)
|  
|  
Line 289: Line 297:
|-
|-
! 4 . n <br>and its extensions
! 4 . n <br>and its extensions
| [[tetrahanson]], [[meanquad]], [[tetrominant]], [[tetrameantone]], [[quarchy]]
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[tetrominant]], [[quarchy]] (^^^)
|  
|  
| [[Subgroup temperaments#Fourwar|fourwar]]
| [[Subgroup temperaments#Fourwar|fourwar]]
Line 300: Line 308:
|-
|-
! 5 . n <br>and its extensions
! 5 . n <br>and its extensions
| [[antipyth]], [[juggernaut]]
| [[antipyth]], [[juggernaut]] (^^^)
|  
|  
|  
|  
Line 311: Line 319:
|-
|-
! Other subgroups
! Other subgroups
| [[greeley]], [[halftone]], [[semiwolf]], [[auk]]
| [[auk]], [[greeley]], [[halftone]], [[semiwolf]] (^^^)
|  
|  
|  
|  

Revision as of 06:38, 2 November 2024

https://en.xen.wiki/w/User:BudjarnLambeth/Sandbox

Remember, these are just my ugly, messy notes, and it will look much nicer on the finished page.

I'm only sharing these WIP notes so that everyone can see the numbers that I'm looking at and see how far along things are.




IMPORTANT NOTE: 
RIGHT NOW THE TEMPERAMENTS IN EACH SUBSECTION ARE SORTED BY BADNESS.
I WILL RE-SORT THEM BY ACCURACY, NOT BADNESS, IN THE FINAL VERSION.




ANOTHER IMPORTANT NOTE:
THE FINAL PAGE WILL NOT BE FORMATTED AS AN UGLY LIST LIKE THIS.
IT WILL BE FORMATTED AS A TABLE EXACTLY THE SAME LOOK AND FEEL AS BEFORE.
THIS IS JUST AN UGLY WORK-IN-PROGRESS.






Number of notes recommended is estimated as 2 x graham complexity.

How to calculate graham complexity:
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








The temperaments in each cell are listed by damahe (least to most).

(^) = list item has not yet been ordered by damage

(^^^) = cell is currently ordered alphabetically, needs to be re-ordered by damage

(£££) = cell is currently ordered by badness, needs to be re-ordered by damage

(!!) = todo: check that none of the ones in this cell are extreme exotemperaments (>20 cents error on most intervals), remove them if they are

{| class="wikitable center-all"
|+
! JI subgroup
! ~10 notes per equave
! ~20 notes
! ~30 notes
! ~40 notes
! ~50 notes
! ~60 notes
! ~70 notes
! ~80 notes
! >90 notes
|-
! 5-limit <br>(2 . 3 . 5)
| [[hanson]], [[magic]], [[meantone]], [[negri]], [[augmented]], [[porcupine]], [[dimipent]], [[mavila]], [[blackwood]], [[misty]](^), [[whitewood]](^)
| [[helmhpltz]], [[orson]], [[wuerschmidt]], [[sensipent]], [[compton]], [[diaschismic]], [[tetracot]], [[passion]], [[superpyth]], [[ripple]], [[valentine]](^)
| [[luna]], [[vishnu]], [[amity]], [[gravity]](^), [[kwazy]](^), [[parakleismic]](^)
| 
| [[ennealimmal]]
| 
| [[minortone]](^), [[vavoom]](^)
| 
| 
|-
! 7-limit <br>(2 . 3 . 5 . 7)
| [[porcupine]], [[pajara]], [[keemun]], [[negri]], [[doublewide]], [[injera]], [[dominant]], [[august]], [[diminished]], [[blacksmith]]
| [[orwell]], [[myna]], [[magic]], [[meantone]], [[mothra]], [[superpyth]], [[flattone]], [[liese], [[beatles]], [[augene]], [[hedgehog]], [[nautilus]], [[catler]], [[godzilla]],  [[lemba]], [[schism]](^), [[valentine]](^)
| [[miracle]], [[garibaldi]], [[sensi]], [[amity]](^), [[diaschismic]](^), [[harry]](^), [[hemiwuerschmidt]](^)
| [[catakleismic]], [[misty]], [[unidec]] (^^^)
| [[ennealimmal]], [[hemififths]], [[tertiaseptal]] (^^^)
| 
| [[parakleismic]], [[sesquiquartififths]] (^^^)
|
| [[enneadecal]], [[pontiac]],[[Ragismic_microtemperaments#Supermajor|supermajor]] (^^^)
|-
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
| [[august]], [[blacksmith]], [[pajaric]], [[triforce]] (^^^)
| [[orwell]], [[mohajira]], [[porcupine]], [[hedgehog]], [[astrology]], [[vigintiduo]], [[augene]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[keemun]], [[progress]], [[dominant]], [[negric]], [[meanenneadecal]], [[duodecim]], [[opossum]], [[valentine]](^)
| [[nusecond]], [[squares]], [[meantone]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[negroni]], [[porky]], [[fleetwood]], [[pajarous]], [[sensis]], [[flattone]], [[godzilla]], [[darjeeling]],  [[mothra]](^)
| [[miracle]], [[magic]], [[meanpop]], [[migration]], [[andromeda]], [[superpyth]], [[shrutar]](^)
| [[diaschismic]], [[hemithirds]], [[tritikleismic]], [[unidec]], [[wizard]] (^^^)
| 
| [[harry]]
| [[cassandra]], [[catakleismic]], [[ennealimnic]], [[hemiwuerschmidt]], [[quasiorwell]],  [[sqrtphi]] (^^^)
| [[hemienneadecal]], [[hemiennealimmal]], [[trinity]], [[vishnu]] (^^^)
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
| [[negric]]
| [[negri]], [[Mavila_family#Armodue|armodue]], [[opossum]], [[triforce]], [[blacksmith]], [[augene]], [[lupercalia]], [[porcupine]], [[hedgehog]], [[godzilla]] (£££)
| [[meantone]], [[winston]], sensis, [[meanenneadecal]], [[darjeeling]], [[flattone]], [[ringo]], [[nusecond]], [[modus]], [[pajara]] (£££)
| [[mirkat]], [[miraculous]], [[andromeda]], [[superkleismic]], [[injera]], [[nautilus]] , [[undevigintone]], [[ogene]], [[mohajira]], [[mothra]], [[superpyth]], [[negroni]], [[diaschismic]] (£££)
| [[orwell]], [[magic]] (£££)
| [[myna]], [[sensus]], [[meanpop]] (£££)
| [[cassandra]]
| [[catakleismic]], [[shrutar]] (£££)
| [[abigail]], [[hemiennealimmal]], [[harry]], [[semihemiennealimmal]], [[decoid]], [[trinity]] (£££)
|-
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
| 
| 
| [[pajara]]
| [[mirkat]], [[miraculous]], [[mohajira]], [[injera]], [[meanenneadecal]] (£££)
| 
| [[sensus]], [[diaschismic]], [[modus]], [[andromeda]] (£££)
| 
| [[echidna]], [[shrutar]] (£££)
| [[harry]], [[sqrtphi]], [[tritikleismic]], [[octoid]], [[trinity]] (£££)
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
| 
| 
| 
| [[injera]], [[mohajira]],  [[meanenneadecal]], [[shrutar]] (£££)
| [[andromeda]]
| [[hitchcock]], [[modus]] (£££)
| [[marvolo]]
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| [[sqrtphi]], [[octoid]], [[ketchup]], [[trinity]] (£££)
|-
! Higher prime limits
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| 
| 
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| [[shrutar]]
| [[satin]], [[ketchup]], [[trinity]] (£££)
|-
! 2 . 3 . 5 . 7 . other n
| [[negra]
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| no-11 [[sensis]], no-11 [[meanpop]], no-11 [[magic]] (£££)
| no-11 [[catakleismic]]
| [[unicorn]]
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| no-11 [[cassandra]]
| no-11 [[hemischis]]
| no-11 [[decoid]], no-11 [[ennealimmal]] (£££)
|-
! 2 . 3 . 5 . 11 . other n
| [[mavila]], [[porkypine]] (^^^)
| [[mohaha]], [[tetracot]] (^^^)
| [[larry]] (2.3.5.11 gravity)
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| [[sensible]]
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|-
! 2 . 3 . 5 . other n
| [[srutal archagall]], [[stutzel]] (^^^)
| [[nestoria]], [[sensipent]] (^^^)
| [[cata]], [[wuerschmidt]] (2.3.5.23) (^^^)
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|-
! 2 . 3 . 7
| [[archy]], [[bleu]], [[semaphore]], [[slendric]] (^^^)
| [[skwares]]
| no-5 [[hemififths]]
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|-
! 2 . 3 . 7 . 11 <br>and its extensions
| [[bleu]], [[supra]] (^^^)
| [[skwares]], [[suhajira]] (^^^)
| no-5 [[miracle]], [[radon]], no-5 [[hemififths]] (^^^)
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| 
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|-
! 2 . 3 . 7 . other n
| [[baladic]], no-5 [[negra]], [[oceanfront]] (^^^)
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| [[hypnosis]]
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|-
! 2 . 3 . 11 <br>and its extensions
| [[io]], [[namo], [[Rastmic_clan#Neutral|neutral] (2.3.11 [[rastmic]]), [[paralimmal]] (^^^) (!!)
| [[huxley]], [[tribilo]] (2.3.11 [[nexus]]) (^^^)
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| 
| 2.3.11 [[pythrabian]]
| 2.3.11 [[frameshift]]
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| 
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|-
! 2 . 3 . other n
| [[barbados]], [[boethian]], [[dog]], [[hydrothermal]], [[semitonic]], [[superflat]] (^^^) (!!)
| [[pepperoni]], [[threedic]] (^^^)
| [[Subgroup_temperaments#Historical|historical]]
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|-
! 2 . 5 . 7 <br>and its extensions
| [[didacus]], [[frostburn]], no-3 [[oodako]] (^^^) (!!)
| [[baldy]], [[llywelyn]], [[mercy]], [[rainy]] (^^^)
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| 
| 
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| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
|-
! 2 . 5 . other n
| [[insect]], [[marveltri]], [[movila]], [[sulis]], [[superquintal]], [[trader]], [[vengeance]], [[wizz]] (^^^) (!!)
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|-
! 2 . 7 <br>and its extensions
| [[demon]], [[machine]], [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]] (^^^) (!!)
| [[counterultrakleismic]], [[mabon]], [[machine|mechanism]] (^^^)
| 
| [[machine|apparatus]]
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| 
| 
| 
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|-
! 3 . 5 . 7 <br>and its extensions
| [[arcturus]], [[BPS]], [[canopus]], [[dubhe]] (3.5.7.17), [[sirius]], [[Catalog of 3.5.7 subgroup rank two temperaments|vega]] (^^^)
| [[izar]], [[mintra]] (3.5.7.11) (^^^)
| [[No-twos_subgroup_temperaments#Alhena|alhena]]
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|-
! 3 . 5 . other n
| [[aldebaran]], [[deneb]], [[polaris]] (^^^)
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| [[alnilam]], [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]] (^^^)
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|-
! 3 . 7 <br>and its extensions
| [[keladic]], [[mintaka]] (3.7.11) (^^^)
| [[mebsuta]], [[minalzidar]] (^^^)
| [[mintaka]] (3.7.11.13)
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|-
! 4 . n <br>and its extensions
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[tetrominant]], [[quarchy]] (^^^)
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| [[Subgroup temperaments#Fourwar|fourwar]]
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|-
! 5 . n <br>and its extensions
| [[antipyth]], [[juggernaut]] (^^^)
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|-
! Other subgroups
| [[auk]], [[greeley]], [[halftone]], [[semiwolf]] (^^^)
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|}