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Survey of efficient temperaments by subgroup: Difference between revisions

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m →Table of rank-2 temperaments: split table by size
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That means that for temperaments ''in this table'', the more notes they require, the more accurate they are. The ones requiring less notes are less accurate, though they are good for their size. (Note that this rule is only true for ''the temperaments in this table'', it is not true of all temperaments in general.)
That means that for temperaments ''in this table'', the more notes they require, the more accurate they are. The ones requiring less notes are less accurate, though they are good for their size. (Note that this rule is only true for ''the temperaments in this table'', it is not true of all temperaments in general.)


== Table of rank-2 temperaments ==
== Table of temperaments (5-45 notes per equave) ==
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first.  
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first.  


Line 100: Line 100:
* '''(£££) = cell is currently ordered by badness, 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'''
* '''(!!) = todo: check that none of the ones in this cell are extreme exotemperaments (>20 cents error on most intervals), remove them if they are'''
* '''todo: potentially merge some of the large note number columns to make the table display better on small or vertical screens'''




Line 121: Line 120:
| [[luna]], [[vishnu]], [[amity]], [[gravity]](^), [[kwazy]](^), [[parakleismic]](^)
| [[luna]], [[vishnu]], [[amity]], [[gravity]](^), [[kwazy]](^), [[parakleismic]](^)
|  
|  
|-
! 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]](^)
|-
! 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]](^)
|-
! 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]] (£££)
|-
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
|
|
| [[pajara]]
| [[mirkat]], [[miraculous]], [[mohajira]], [[injera]], [[meanenneadecal]] (£££)
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
|
|
|
| [[injera]], [[mohajira]],  [[meanenneadecal]], [[shrutar]] (£££)
|-
! Higher prime limits
|
|
|
|
|-
! 2 . 3 . 5 . 7 . other n
| [[negra]]
|
| no-11 [[sensis]], no-11 [[meanpop]], no-11 [[magic]] (£££)
| no-11 [[catakleismic]]
|-
! 2 . 3 . 5 . 11 . other n
| [[mavila]], [[porkypine]] (^^^)
| [[mohaha]], [[tetracot]] (^^^)
| [[larry]] (2.3.5.11 gravity)
|
|-
! 2 . 3 . 5 . other n
| [[srutal archagall]], [[stutzel]] (^^^)
| [[nestoria]], [[sensipent]] (^^^)
| [[cata]], [[wuerschmidt]] (2.3.5.23) (^^^)
|
|-
! 2 . 3 . 7
| [[archy]], [[bleu]], [[semaphore]], [[slendric]] (^^^)
| [[skwares]]
| no-5 [[hemififths]]
|
|-
! 2 . 3 . 7 . 11 <br>and its extensions
| [[bleu]], [[supra]] (^^^)
| [[skwares]], [[suhajira]] (^^^)
| no-5 [[miracle]], [[radon]], no-5 [[hemififths]] (^^^)
|
|-
! 2 . 3 . 7 . other n
| [[baladic]], no-5 [[negra]], [[oceanfront]] (^^^)
|
|
|
|-
! 2 . 3 . 11 <br>and its extensions
| [[io]], [[namo]], [[Rastmic_clan#Neutral|neutral]] (2.3.11 [[rastmic]]), [[paralimmal]] (^^^) (!!)
| [[huxley]], [[tribilo]] (2.3.11 [[nexus]]) (^^^)
|
|
|-
! 2 . 3 . other n
| [[barbados]], [[boethian]], [[dog]], [[hydrothermal]], [[semitonic]], [[superflat]] (^^^) (!!)
| [[pepperoni]], [[threedic]] (^^^)
| [[Subgroup_temperaments#Historical|historical]]
|
|-
! 2 . 5 . 7 <br>and its extensions
| [[didacus]], [[frostburn]], no-3 [[oodako]] (^^^) (!!)
| [[baldy]], [[llywelyn]], [[mercy]], [[rainy]] (^^^)
|
|
|-
! 2 . 5 . other n
| [[insect]], [[marveltri]], [[movila]], [[sulis]], [[superquintal]], [[trader]], [[vengeance]], [[wizz]] (^^^) (!!)
|
|
|
|-
! 2 . 7 <br>and its extensions
| [[demon]], [[machine]], [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]] (^^^) (!!)
| [[counterultrakleismic]], [[mabon]], [[machine|mechanism]] (^^^)
|
| [[machine|apparatus]]
|-
! 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]]
|
|-
! 3 . 5 . other n
| [[aldebaran]], [[deneb]], [[polaris]] (^^^)
|
|
| [[alnilam]], [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]] (^^^)
|-
! 3 . 7 <br>and its extensions
| [[keladic]], [[mintaka]] (3.7.11) (^^^)
| [[mebsuta]], [[minalzidar]] (^^^)
| [[mintaka]] (3.7.11.13)
|
|-
! 4 . n <br>and its extensions
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[meanquad|tetrominant]], [[quarchy]] (^^^)
|
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|-
! 5 . n <br>and its extensions
| [[antipyth]], [[juggernaut]] (^^^)
|
|
|
|-
! Other subgroups
| [[auk]], [[greeley]], [[halftone]], [[semiwolf]] (^^^)
|
|
|
|}
== Table of temperaments (more notes per equave) ==
The temperaments within each cell should be sorted by accuracy, with the lowest [[damage]] (highest accuracy) temperament listed first.
(''Editors:''
''If you see any temperaments listed in the wrong order, or see any temperaments in the wrong ‘approx. number of notes needed’ category, please move them to the correct position.''
''If you know of a temperament that is much-loved by a sizeable subset of the xen community but is not yet included here, please add it.''
''Please do not add temperaments just for the sake of filling empty cells on the table. It’s okay for some cells to be empty. Only add temperaments if yourself, or at least a few other people, would recommend those temperaments.''
''If you see a temperament on here that does not have good accuracy for its size in a particular subgroup, please delete that temperament from that subgroup’s row of the table.'')
'''Development notices (will be resolved and removed before the page returns to main space):'''
* '''(^) = 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'''
{| class="wikitable center-all"
|+
! JI subgroup
! ~50 notes
! ~60 notes
! ~70 notes
! ~80 notes
! >90 notes
|-
! 5-limit <br>(2 . 3 . 5)
| [[ennealimmal]]
| [[ennealimmal]]
|  
|  
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|-
|-
! 7-limit <br>(2 . 3 . 5 . 7)
! 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]] (^^^)
| [[ennealimmal]], [[hemififths]], [[tertiaseptal]] (^^^)
|  
|  
Line 139: Line 304:
|-
|-
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
! 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]] (^^^)
| [[diaschismic]], [[hemithirds]], [[tritikleismic]], [[unidec]], [[wizard]] (^^^)
|  
|  
Line 150: Line 311:
|-
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
! 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]] (£££)
| [[orwell]], [[magic]] (£££)
| [[myna]], [[sensus]], [[meanpop]] (£££)
| [[myna]], [[sensus]], [[meanpop]] (£££)
Line 161: Line 318:
|-
|-
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
! 17-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17)
|
|
| [[pajara]]
| [[mirkat]], [[miraculous]], [[mohajira]], [[injera]], [[meanenneadecal]] (£££)
|  
|  
| [[sensus]], [[diaschismic]], [[modus]], [[andromeda]] (£££)
| [[sensus]], [[diaschismic]], [[modus]], [[andromeda]] (£££)
Line 172: Line 325:
|-
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
|
|
|
| [[injera]], [[mohajira]],  [[meanenneadecal]], [[shrutar]] (£££)
| [[andromeda]]
| [[andromeda]]
| [[hitchcock]], [[modus]] (£££)
| [[hitchcock]], [[modus]] (£££)
Line 183: Line 332:
|-
|-
! Higher prime limits
! Higher prime limits
|
|
|
|
|  
|  
|  
|  
Line 194: Line 339:
|-
|-
! 2 . 3 . 5 . 7 . other n
! 2 . 3 . 5 . 7 . other n
| [[negra]]
|
| no-11 [[sensis]], no-11 [[meanpop]], no-11 [[magic]] (£££)
| no-11 [[catakleismic]]
| [[unicorn]]
| [[unicorn]]
|  
|  
Line 205: Line 346:
|-
|-
! 2 . 3 . 5 . 11 . other n
! 2 . 3 . 5 . 11 . other n
| [[mavila]], [[porkypine]] (^^^)
| [[mohaha]], [[tetracot]] (^^^)
| [[larry]] (2.3.5.11 gravity)
|
| [[sensible]]
| [[sensible]]
|  
|  
Line 216: Line 353:
|-
|-
! 2 . 3 . 5 . other n
! 2 . 3 . 5 . other n
| [[srutal archagall]], [[stutzel]] (^^^)
| [[nestoria]], [[sensipent]] (^^^)
| [[cata]], [[wuerschmidt]] (2.3.5.23) (^^^)
|
|  
|  
|  
|  
Line 227: Line 360:
|-
|-
! 2 . 3 . 7
! 2 . 3 . 7
| [[archy]], [[bleu]], [[semaphore]], [[slendric]] (^^^)
| [[skwares]]
| no-5 [[hemififths]]
|
|  
|  
|  
|  
Line 238: Line 367:
|-
|-
! 2 . 3 . 7 . 11 <br>and its extensions
! 2 . 3 . 7 . 11 <br>and its extensions
| [[bleu]], [[supra]] (^^^)
| [[skwares]], [[suhajira]] (^^^)
| no-5 [[miracle]], [[radon]], no-5 [[hemififths]] (^^^)
|
|  
|  
|  
|  
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|-
|-
! 2 . 3 . 7 . other n
! 2 . 3 . 7 . other n
| [[baladic]], no-5 [[negra]], [[oceanfront]] (^^^)
|
|
|
| [[hypnosis]]
| [[hypnosis]]
|  
|  
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|-
|-
! 2 . 3 . 11 <br>and its extensions
! 2 . 3 . 11 <br>and its extensions
| [[io]], [[namo]], [[Rastmic_clan#Neutral|neutral]] (2.3.11 [[rastmic]]), [[paralimmal]] (^^^) (!!)
| [[huxley]], [[tribilo]] (2.3.11 [[nexus]]) (^^^)
|
|
| 2.3.11 [[pythrabian]]
| 2.3.11 [[pythrabian]]
| 2.3.11 [[frameshift]]
| 2.3.11 [[frameshift]]
Line 271: Line 388:
|-
|-
! 2 . 3 . other n
! 2 . 3 . other n
| [[barbados]], [[boethian]], [[dog]], [[hydrothermal]], [[semitonic]], [[superflat]] (^^^) (!!)
| [[pepperoni]], [[threedic]] (^^^)
| [[Subgroup_temperaments#Historical|historical]]
|
|  
|  
|  
|  
Line 282: Line 395:
|-
|-
! 2 . 5 . 7 <br>and its extensions
! 2 . 5 . 7 <br>and its extensions
| [[didacus]], [[frostburn]], no-3 [[oodako]] (^^^) (!!)
| [[baldy]], [[llywelyn]], [[mercy]], [[rainy]] (^^^)
|
|
|  
|  
|  
|  
Line 293: Line 402:
|-
|-
! 2 . 5 . other n
! 2 . 5 . other n
| [[insect]], [[marveltri]], [[movila]], [[sulis]], [[superquintal]], [[trader]], [[vengeance]], [[wizz]] (^^^) (!!)
|
|
|
|  
|  
|  
|  
Line 304: Line 409:
|-
|-
! 2 . 7 <br>and its extensions
! 2 . 7 <br>and its extensions
| [[demon]], [[machine]], [[orgone]], [[shipwreck]], [[stacks]], [[ultrakleismic]] (^^^) (!!)
| [[counterultrakleismic]], [[mabon]], [[machine|mechanism]] (^^^)
|
| [[machine|apparatus]]
|  
|  
|  
|  
Line 315: Line 416:
|-
|-
! 3 . 5 . 7 <br>and its extensions
! 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]]
|
|  
|  
|  
|  
Line 326: Line 423:
|-
|-
! 3 . 5 . other n
! 3 . 5 . other n
| [[aldebaran]], [[deneb]], [[polaris]] (^^^)
|
|
| [[alnilam]], [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]] (^^^)
|  
|  
|  
|  
Line 337: Line 430:
|-
|-
! 3 . 7 <br>and its extensions
! 3 . 7 <br>and its extensions
| [[keladic]], [[mintaka]] (3.7.11) (^^^)
| [[mebsuta]], [[minalzidar]] (^^^)
| [[mintaka]] (3.7.11.13)
|
|  
|  
|  
|  
Line 348: Line 437:
|-
|-
! 4 . n <br>and its extensions
! 4 . n <br>and its extensions
| [[meanquad]], [[tetrahanson]], [[tetrameantone]], [[meanquad|tetrominant]], [[quarchy]] (^^^)
|
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|  
|  
|  
|  
Line 359: Line 444:
|-
|-
! 5 . n <br>and its extensions
! 5 . n <br>and its extensions
| [[antipyth]], [[juggernaut]] (^^^)
|
|
|
|  
|  
|  
|  
Line 370: Line 451:
|-
|-
! Other subgroups
! Other subgroups
| [[auk]], [[greeley]], [[halftone]], [[semiwolf]] (^^^)
|
|
|
|  
|  
|  
|  
Line 381: Line 458:
|}
|}


 
== Pergens and temperament relationships ==
'''Additional information'''


One important piece of information this table doesn’t capture is whether two temperaments share a [[pergen]].
One important piece of information this table doesn’t capture is whether two temperaments share a [[pergen]].
Retrieved from "https://en.xen.wiki/w/Survey_of_efficient_temperaments_by_subgroup"