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== Scales ==
; 12-tone 7edo&5edo
This scale is designed to be mapped to the key of C on a conventional piano keyboard, with 7edo on the white keys, and 5edo on black:
* 5 2 3 4 1 5 1 4 3 2 5 0


Remember, these are just my ugly, messy notes, and it will look much nicer on the finished page.
; 24-tone blackwood&greenwood
You can have two pianos/keyboards, one 68.6 [[cents]] sharp of the other, both tuned to the 12-tone 7edo&5edo scale. The combined black keys across both keyboards will be [[blackwood]][10] and the white keys will be [[greenwood]][14].
* 3 2 0 2 1 2 2 1 1 1 3 1 1 1 2 2 1 2 0 2 3 0 2 0


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.
; 20-tone blackwood&greenwood
Removing the duplicates from the previous scale (perhaps for use on other instruments beside keyboard) gives this 20-tone scale, which includes both blackwood[10] and greenwood[14] as subsets.
* 3 2 2 1 2 2 1 1 1 3 1 1 1 2 2 1 2 2 3 2


; Muggles[19]
Of all the regular temperaments available in 35edo, [[muggles]] approximates [[just intonation]] the most closely. Here is the muggles[19] [[MOS scale]]:
* 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2


; Ripple[23]
This [[modmos]] of ripple[12] sounds sort of like the familiar [[12edo]]:
* 3 3 3 2 3 3 3 4 2 3 3 3
And it can be extended out to the ripple[23] [MOS scale]] which adds many [[7-limit]] intervals:
* 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1


; [[MOS scale]]s
* [[Greenwood]][7]/[[whitewood]][7]: 5 5 5 5 5 5 5 (''a.k.a. [[7edo]]; an [[equiheptatonic]] scale'')
* [[Greenwood]][14]: 3 2 3 2 3 2 3 2 3 2 3 2 3 2
* [[Greenwood]][21]: 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2
* [[Muggles]][5] (a.k.a. sub-diatonic): 9 4 9 9 4
* [[Muggles]][13]: 2 2 5 2 2 2 5 2 2 2 5 2 2
* [[Muggles]][16]: 2 2 3 2 2 2 2 2 3 2 2 2 2 3 2 2
* [[Muggles]][19]: 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2
* [[Ripple]][12]: 3 3 3 3 3 3 3 3 2 3 3 3
* [[Ripple]][23]: 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1
* [[Secund]][17]: 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3
* [[Whitewood]][14]: 1 4 1 4 1 4 1 4 1 4 1 4 1 4
* [[Whitewood]][21]: 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1 1 3 1
* [[Blackwood]][5]: 7 7 7 7 7 (''a.k.a. [[5edo]]; an [[equipentatonic]] scale; [[slendro]]-like; works with all three blackwood tunings'')
* [[Blackwood|5/4-blackwood]][10]: 4 3 4 3 4 3 4 3 4 3
* [[Blackwood|5/4-blackwood]][15]: 3 1 3 3 1 3 3 1 3 3 1 3 3 1 3
* [[Blackwood|5/4-blackwood]][25]: 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1
* [[Blackwood|6/5-blackwood]][10]: 2 5 2 5 2 5 2 5 2 5
* [[Blackwood|6/5-blackwood]][15]: 2 3 2 2 3 2 2 3 2 2 3 2 2 3 2
* [[Blackwood|6/5-blackwood]][20]: 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2 2 2 1 2
{| class="wikitable mw-collapsible mw-collapsed"
|+Secund[17] subsets
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''


*[[Antipental blues]]: 8 7 1 4 8 7
* Antipental blues maj 6th: 8 7 1 4 7 1 7
* Antipental blues neutral 7th: 8 7 1 4 8 3 4
* Antipental blues maj 7th: 8 7 1 4 8 4 3
* Antipental blues harmonic: 8 7 1 4 3 9 3
* [[Pelog]]-like heptatonic: 3 5 7 5 3 8 4 (''Phrygian-like'')
* Pelog-like pentatonic: 3 5 12 3 12
* Secund chance ([[modmos]] of secund[8]): 4 7 4 1 4 4 7 4
* Secund-tempered rotated [[5afdo]]: 7 4 9 8 7
* Secund-tempered [[6afdo]]: 8 7 5 7 4 4
* Undecimal Mixolydian: 7 4 4 5 7 1 7
* Undecimal minor hexatonic: 7 1 7 5 8 7
* Undecimal quasi-equipentatonic: 7 8 5 8 7
* 12 from secund[17]: 7 1 3 4 1 4 3 4 1 3 1 3
|}


{| class="wikitable mw-collapsible mw-collapsed"
|+6/5-blackwood[20] subsets
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''


*Blackwood meta-Hirajoshi: 2 3 4 2 5 7 2 12
** ''Blackwood pseudo-Akebono neutral: 5 9 7 2 12''
** ''Blackwood pseudo-Akebono supermajor: 7 7 7 2 12''
** ''Blackwood pseudo-Hirajoshi: 2 12 7 2 12''
** ''Blackwood pseudo-[[pelog]]: 5 4 12 2 12''
* Blackwood meta-partial: 4 3 2 2 3 7 7 7
** ''Blackwood-tempered [[5afdo]]: 7 4 10 7 7''
** ''Mechanical (from [[16afdo]]): 9 2 10 7 7''
** ''Starship (from [[68ifdo]]'', see [[ifdo]]''): 4 7 3 7 7 7''
** ''Volcanic (from [[16afdo]]): 4 7 10 7 7''
* Meta-monsoon: 7 4 3 2 5 9 5
** ''Monsoon (from [[47zpi]]): 7 7 7 9 5''
** ''Monsoon otonal: 7 9 5 9 5''
** ''Monsoon major: 11 5 5 9 5''
* Blackwood neutral nonatonic: 4 7 3 2 5 4 5 2 3
* Blackwood undecimal harmonic: 4 8 4 5 4 5 5
* Dungeon (from [[30afdo]]): 11 3 7 2 12
* Moonbeam (from [[16afdo]]): 7 2 12 12 2
* Underpass (from [[10afdo]]): 9 12 5 4 5
* 12 from 6/5-blackwood[20]: 4 3 2 2 3 7 2 3 2 2 3 2
|}


<pre>
{| class="wikitable mw-collapsible mw-collapsed"
IMPORTANT NOTE:
|+Ripple[23] subsets
RIGHT NOW THE TEMPERAMENTS IN EACH SUBSECTION ARE SORTED BY BADNESS.
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
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
 
 


* Clear pond (ripple[12] [[modmos]]): 3 3 3 2 3 3 3 4 2 3 3 3
** Lydian: 6 5 6 3 6 6 3
** Major: 6 5 3 6 6 6 3
** Mixolydian: 6 5 3 6 6 3 6
** Dorian: 6 3 5 6 6 3 6
** Minor: 6 3 5 6 4 5 6
** Phrygian: 3 6 5 6 4 5 6
** Locrian: 3 6 5 3 7 5 6
** Harmonic minor: 6 3 5 6 4 8 3
** Melodic minor: 6 3 5 6 6 6 3
** Major pentatonic: 6 8 6 6 9
** Minor pentatonic: 9 5 6 9 6
** Minor blues: 9 5 3 3 9 6
** Minor blues heptatonic: 9 5 3 3 6 3 6
** Akebono I: 6 3 11 6 9
* Hirajoshi: 6 3 11 3 12
* Subminor hexatonic: 6 2 6 6 9 6
* Subminor pentatonic: 8 6 6 9 6
* Subminor blues: 8 6 3 3 9 6
* Subminor blues heptatonic: 8 6 3 3 6 3 6
|}


 
; Other scales
 
* Amulet{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3
 
* Fourfourths{{idio}} ([[modmos]] of 7/6-blackwood[20]): 3 1 1 2 1 1 1 4 1 1 1 4 1 1 1 4 1 1 1 4
 
* Near-just rotated [[5afdo]]: 6 5 9 8 7
The temperaments in each cell are listed by damahe (least to most).
* Near-just [[6afdo]]: 8 7 5 6 5 4
 
(^) = 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]]
|
| [[sqrtphi]], [[octoid]], [[ketchup]], [[trinity]] (£££)
|-
! Higher prime limits
|
|
|
|
|
|
|
| [[shrutar]]
| [[satin]], [[ketchup]], [[trinity]] (£££)
|-
! 2 . 3 . 5 . 7 . other n
| [[negra]
|
| no-11 [[sensis]], no-11 [[meanpop]], no-11 [[magic]] (£££)
| no-11 [[catakleismic]]
| [[unicorn]]
|
| 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)
|
| [[sensible]]
|
|
|
|
|-
! 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]] (^^^)
|
|
|
| [[hypnosis]]
|
|
|
|
|-
! 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 [[frameshift]]
|
|
|
|-
! 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]] (^^^)
|
|
|
|
|
|
| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
|-
! 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]], [[tetrominant]], [[quarchy]] (^^^)
|
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|
|
|
|
|
|-
! 5 . n <br>and its extensions
| [[antipyth]], [[juggernaut]] (^^^)
|
|
|
|
|
|
|
|
|-
! Other subgroups
| [[auk]], [[greeley]], [[halftone]], [[semiwolf]] (^^^)
|
|
|
|
|
|
|
|
|}
</pre>
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