User:BudjarnLambeth/Sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
BudjarnLambeth (talk | contribs)
 
(116 intermediate revisions by the same user not shown)
Line 1: Line 1:
<pre>
== Scales ==
List entry format:
; 12-tone 7edo&5edo
* Temperament name (1.5 x [[graham complexity]], 2 x graham complexity, [[badness]] to 2 sig fig - copied from wiki temperament pages)
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


; 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


How to calculate graham complexity:
; 20-tone blackwood&greenwood
1. Subtract the smallest number in the second row of the temperament's mapping, from the largest
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.
2. Multiply the result by the number of periods per equave
* 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


''To-do: Re-sort the temperaments in each clump by [[damage]], instead of by badness.''
; 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]].''


(!!!) Indicates a temperament was manually moved to a different 'note count' category because the clumsy note count gave a very strange result.
*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
|}


{| class="wikitable mw-collapsible mw-collapsed"
|+Ripple[23] subsets
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''


* 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
== 5LIM ==
* 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
~10 NOTES/EQUAVE
* Near-just rotated [[5afdo]]: 6 5 9 8 7
* [[Meantone]] (6, 8, 0.0074)
* Near-just [[6afdo]]: 8 7 5 6 5 4
* [[Hanson]] (9, 12, 0.013)
* [[Augmented]] (4.5, 6, 0.022)
* [[Porcupine]] (7.5, 10, 0.031)
* [[Magic]] (7.5, 10, 0.039)
* [[Mavila]] (6, 8, 0.040)
* [[Dimipent]] (6, 8, 0.047)
* [[Blackwood]] (7.5, 10, 0.064)
* [[Negri]] (10.5, 14, 0.087)
* [[Misty]] (7.5, 10, 0.11)
* [[Whitewood]] (10.5, 14, 0.16)
 
~20 NOTES/EQUAVE
* [[Wuerschmidt]] (12, 16, 0.041)
* [[Orson]] (15, 20, 0.041)
* [[Helmholtz]] (12, 16, 0.0043)
* [[Sensipent]] (13.5, 18, 0.035)
* [[Diaschismic]] (12, 16, 0.038)
* [[Tetracot]] (13.5, 18, 0.049)
* [[Compton]] (18, 24, 0.094)
* [[Valentine]] (13.5, 18, 0.12)
* [[Superpyth]] (18, 0.14)
* [[Ripple]] (12, 16, 0.14)
* [[Passion]] (13.5, 18, 0.17)
 
~30 NOTES/EQUAVE
* [[Kwazy]] (19.5, 26, 0.014)
* [[Luna]] (22.5, 30, 0.021)
* [[Amity]] (19.5, 26, 0.022)
* [[Vishnu]] (10.5, 14, 0.031) (!!!)
* [[Parakleismic]] (21, 28, 0.043)
* [[Gravity]] (25.5, 34, 0.093)
 
~40 NOTES/EQUAVE
 
~50 NOTES/EQUAVE
* [[Ennealimmal]] (40.5, 54, ??)
 
>60 NOTES/EQUAVE
* [[Minortone]] (52.5, 70, 0.030)
 
 
 
 
== 7LIM ==
 
~10 NOTES/EQUAVE
* [[Pajara]] (4, 6, 0.020)
* [[Dominant]] (4, 0.021)
* [[Diminished]] (5, 0.022)
* [[Augene]] (12, 0.025)
* [[Blacksmith]] (6, 0.026)
* [[August]] (8, 0.026)
* [[Negri]] (8, 0.026)
* [[Keemun]] (12, 0.027)
* [[Injera]] (12, 0.031)
* [[Opossum]] (18, 0.041) (!)
* [[Porcupine]] (12, 0.041)
* [[Doublewide]] (12, 0.043)
* [[Inflated]] (12, 0.055)
* [[Superpelog]] (12, 0.058)
* [[Lemba]] (9, 0.062)
* [[Shrutar]] (14, 0.19)
 
~20 NOTES/EQUAVE
* [[Meantone]] (15, 20, 0.014)
* [[Magic]] (18, 24, 0.019)
* [[Orwell]] (16.5, 22, 0.021)
* [[Myna]] (15, 20, 0.027)
* [[Godzilla]] (12, 16, 0.027)
* [[Valentine]] (18, 24, 0.031)
* [[Superpyth]] (13.5, 18, 0.032)
* [[Mothra]] (18, 24, 0.037)
* [[Diaschismic]] (18, 0.038)******
* [[Flattone]] (13.5, 18, 0.039)
* [[Hedgehog]] (15, 0.044)******
* [[Beatles]] (13.5, 18, 0.046)
* [[Liese]] (16.5, 22, 0.047)
* [[Catler]] (18, 24, 0.050) (!)
* [[Triforce]] (16, 0.055)******
* [[Nautilus]] (15, 20, 0.057)
* [[Schism]] (12, 16, 0.057)
 
~30 NOTES/EQUAVE
* [[Miracle]] (19.5, 26, 0.017)
* [[Hemiwuerschmidt]] (24, 32, 0.020)
* [[Garibaldi]] (22.5, 30, 0.022)
* [[Amity]] (25.5, 34, 0.024)
* [[Sensi]] (19.5, 26, 0.026)
* [[Harry]] (25.5, 34, 0.034)
 
~40 NOTES/EQUAVE
* [[Catakleismic]] (33, 44, 0.022)
* [[Misty]] (30, 40, 0.037)
 
~50 NOTES/EQUAVE
* [[Ennealimmal]] (40.5, 54, 0.0036)
* [[Tertiaseptal]] (40.5, 54, 0.013)
* [[Hemififths]] (37.5, 50, 0.022)
* [[Unidec]] (33, 44 0.038)
 
>60 NOTES/EQUAVE
* [[Enneadecal]] (85.5, 114, 0.011)
* [[Ragismic_microtemperaments#Supermajor|Supermajor]] (112.5, 150, 0.011)
* [[Seqsquiquartififths]] (54, 72, 0.011)
* [[Pontiac]] (70.5, 94, 0.014)
* [[Parakleismic]] (52.5, 70, 0.027)
* [[Trinity]] (151.5, 202, 0.12)
 
 
 
 
|-
! 11-limit <br>(2 . 3 . 5 . 7 . 11)
| [[superpelog]], [[blacksmith]], [[opossum]], [[pajaric]], [[august]]
| [[mohajira]], [[superpyth]], [[quasisupra]], [[pajara]], [[telepathy]], [[suprapyth]], [[porcupine]], [[negroni]], [[porky]], [[hedgehog]], [[fleetwood]], [[pajarous]], [[astrology]], [[vigintiduo]], [[augene]], [[sensis]], [[nautilus]], [[catnip]], [[undevigintone]], [[injera]], [[flattone]], [[godzilla]], [[darjeeling]], [[keemun]], [[progress]], [[dominant]], [[triforce]], [[negric]], [[meanenneadecal]], [[duodecim]]
| [[hemiwuerschmidt]], [[miracle]], [[cassandra]], [[diaschismic]], [[valentine]], [[shrutar]], [[orwell]], [[magic]], [[meanpop]], [[migration]], [[nusecond]], [[andromeda]], [[mothra]], [[squares]], [[meantone]]
| [[unidec]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[hemiwuerschmidt]], [[ennealimnic]], [[hemithirds]], [[catakleismic]], [[wizard]]
| [[hemienneadecal]], [[hemiennealimmal]], [[ennealimmal]], [[vishnu]], [[quasiorwell]], [[trinity]]
|-
! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
|
| [[mohajira]], [[winston]], [[pajara]], [[undevigintone]], [[superpyth]], [[sensis]], [[negroni]], [[nautilus]], [[ogene]], [[ringo]], [[flattone]], [[injera]], [[augene]], [[darjeeling]], [[meanenneadecal]], [[porcupine]], [[hedgehog]], [[triforce]], [[godzilla]], [[negric]], [[negri]],[[Mavila_family#Armodue|armodue]], [[blacksmith]]
| [[cassandra]], [[diaschismic]], [[myna]], [[orwell]], [[shrutar]], [[miraculous]], [[sensus]], [[meanpop]], [[andromeda]], [[magic]], [[superkleismic]], [[mothra]], [[nusecond]], [[modus]], [[lupercalia]], [[meantone]]
| [[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]]
| [[diaschismic]], [[echidna]], [[shrutar]], [[sensus]], [[miraculous]], [[andromeda]], [[modus]]
| [[mirkat]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[countercata]], [[hemiseven]]
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
|-
! 19-limit <br>(2 . 3 . 5 . 7 . 11 . 13 . 17 . 19)
|
| [[mohajira]], [[injera]], [[meanenneadecal]], [[marvolo]]
| [[shrutar]], [[andromeda]], [[modus]], [[hitchcock]]
| [[sqrtphi]], [[ketchup]]
| [[trinity]], [[hemiennealimmal]], [[ennealimmal]], [[octoid]]
|-
! Higher prime limits
|
| [[marvolo]]
| [[srutal]], [[shrutar]], [[hitchcock]]
| [[decistearn]], [[ketchup]]
| [[trinity]], [[satin]]
|-
! 2 . 3 . 5 . 7 . other n
|
| no-11 [[magic]], no-11 [[sensis]], no-11 [[meanpop]], [[negra]]
| no-11 [[catakleismic]], no-11 [[cassandra]], [[unicorn]]
| no-11 [[decoid]], no-11 [[hemischis]], no-11 [[tritikleismic]]
| no-11 [[ennealimmal]]
|-
! 2 . 3 . 5 . 11 <br>and its extensions
| [[mavila]]
| [[sensible]], [[mohaha]], [[porkypine]]
| [[tetracot]]
| [[larry]] (2.3.5.11 [[gravity]])
|
|-
! 2 . 3 . 5 . other n
| [[stützel]]
| [[nestoria]], [[cata]], [[sensipent]], [[srutal archagall]]
| [[wuerschmidt]] (2.3.5.23)
|
|
|-
! 2 . 3 . 7
| [[archy]], [[semaphore]]
| [[bleu]]
| [[slendric]]
| no-5 [[hemififths]]
|
|-
! 2 . 3 . 7 . 11 <br>and its extensions
| [[semaphore]]
| [[skwares]], [[bleu]], [[suhajira]], [[supra]]
| no-5 [[miracle]], [[hemififths]], [[slendric]], [[radon]]
|
|
|-
! 2 . 3 . 7 . other n
| no-5 [[negra]]
| [[baladic]]
| [[oceanfront]]
| [[hypnosis]]
|
|-
! 2 . 3 . 11 <br>and its extensions
| [[paralimmal]], [[huxley]], [[io]]
| 2.3.11 [[pythrabian]], [[neutral]] (2.3.11 [[rastmic]]), [[namo]]
| [[tribilo]] (2.3.11 [[nexus]])
|
| 2.3.11 [[frameshift]]
|-
!2 . 3 . other n
| [[barbados]], [[superflat]], [[hydrothermal]], [[dog]]
| [[threedic]], [[semitonic]]
| [[boethian]], [[pepperoni]]
| [[historical]]
|
|-
! 2 . 5 . 7 <br>and its extensions
| no-3 [[oodako]], no-3 [[pajara]]
| [[didacus]], [[llywelyn]]
| [[rainy]], [[mercy]], [[frostburn]], [[baldy]]
| [[Subgroup temperaments#Daemotertiaschis|daemotertiaschis]]
| [[ostara]]
|-
! 2 . 5 . other n
| [[movila]]
| [[wizz]], [[vengeance]], [[marveltri]], [[superquintal]], [[trader]]
| [[insect]], [[sulis]]
|
|
|-
! 2 . 7 <br>and its extensions
| [[ultrakleismic]], [[shipwreck]], [[mabon]], [[demon]], [[machine]]
| [[orgone]], [[counterultrakleismic]], [[machine|apparatus]]
| [[stacks]], [[machine|mechanism]]
|
|
|-
! 3 . 5 . 7 <br>and its extensions
| [[canopus]], [[BPS]], [[sirius]], [[arcturus]], [[vega]]
| [[mintra]] (3.5.7.11), [[dubhe]] (3.5.7.17)
| [[miaplacidus]], [[mintra]] (3.5.7.11.13)
| [[izar]], [[BPS|athena]]
|
|-
!3 . 5 . other n
| [[polaris]], [[aldebaran]]
| [[deneb]]
| [[No-twos subgroup temperaments#Fomalhaut|fomalhaut]]
| [[alnilam]]
|
|-
! 3 . 7 <br>and its extensions
| [[mintaka]] (3.7.11), [[keladic]]
| [[mintaka]] (3.7.11.13), [[minalzidar]]
| [[mebsuta]]
|
|
|-
! 4 . n <br>and its extensions
| [[tetrameantone]], [[quarchy]]
| [[tetrahanson]], [[meanquad]]
| [[Subgroup temperaments#Fourwar|fourwar]]
|
|
|-
! 5 . n <br>and its extensions
| [[juggernaut]]
| [[antipyth]]
|
|
|
|-
! Other subgroups
| [[halftone]], [[semiwolf]], [[auk]]
| [[greeley]]
|
|
|
|}
</pre>

Latest revision as of 07:16, 7 October 2025

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
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
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 scales
Secund[17] subsets
Contains 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
6/5-blackwood[20] subsets
Contains 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
Ripple[23] subsets
Contains idiosyncratic terms.
  • 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