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| https://en.xen.wiki/w/User:BudjarnLambeth/Sandbox
| | == 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 |
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|
| 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 |
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|
| I'm only sharing these WIP notes so that everyone can see the numbers that I'm looking at.
| | ; 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 |
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| So far, I have used 1.5 x graham complexity and 2 x graham complexity to assess every singe 5lim and 7lim temperament on the table.
| | ; 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 |
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|
| | ; 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 |
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|
| | ; [[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 |
| | |} |
|
| |
|
| | {| class="wikitable mw-collapsible mw-collapsed" |
| | |+Ripple[23] subsets |
| | |''Contains [[Template:Idiosyncratic|idiosyncratic terms]].'' |
|
| |
|
| <pre>
| | * Clear pond (ripple[12] [[modmos]]): 3 3 3 2 3 3 3 4 2 3 3 3 |
| IMPORTANT NOTE:
| | ** Lydian: 6 5 6 3 6 6 3 |
| RIGHT NOW THE TEMPERAMENTS IN EACH SUBSECTION ARE SORTED BY BADNESS.
| | ** Major: 6 5 3 6 6 6 3 |
| I AM AWARE THAT THIS IS VERY SILLY.
| | ** Mixolydian: 6 5 3 6 6 3 6 |
| I WILL RE-SORT THEM BY ACCURACY, NOT BADNESS, IN THE FINAL VERSION.
| | ** 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 |
| ANOTHER IMPORTANT NOTE:
| | ** Melodic minor: 6 3 5 6 6 6 3 |
| THE FINAL PAGE WILL NOT BE FORMATTED AS AN UGLY LIST LIKE THIS.
| | ** Major pentatonic: 6 8 6 6 9 |
| IT WILL BE FORMATTED AS A TABLE EXACTLY THE SAME LOOK AND FEEL AS BEFORE.
| | ** Minor pentatonic: 9 5 6 9 6 |
| THIS IS JUST AN UGLY WORK-IN-PROGRESS.
| | ** 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 |
| List entry format:
| | * Subminor pentatonic: 8 6 6 9 6 |
| * Temperament name (1.5 x [[graham complexity]], 2 x graham complexity, [[badness]] to 2 sig fig - copied from wiki temperament pages) | | * Subminor blues: 8 6 3 3 9 6 |
| | | * Subminor blues heptatonic: 8 6 3 3 6 3 6 |
| | | |} |
| 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 | |
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| THE EXCLAMATION MARKS
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| (!!!!!!) Indicates a temperament that seems like its number-of-notes estimate is way too low, and it might be an example some potential weakness or anomaly in the counting method.
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| == THE LIST WITH 2.0X GRAHAM COMPLEXITY ==
| |
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| == 5LIM ==
| |
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| ~10 NOTES/EQUAVE
| |
| * [[Meantone]] (6, 8, 0.0074) | |
| * [[Hanson]] (9, 12, 0.013) | |
| * [[Augmented]] (4.5, 6, 0.022) | |
| * [[Vishnu]] (10.5, 14, 0.031) (!!!!!!) | |
| * [[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]] (13.5, 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) | |
| * [[Parakleismic]] (21, 28, 0.043)
| |
| * [[Gravity]] (25.5, 34, 0.093)
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|
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| ~40 NOTES/EQUAVE
| | ; Other scales |
| | | * Amulet{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3 |
| ~50 NOTES/EQUAVE
| | * 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 |
| * [[Ennealimmal]] (40.5, 54, ??) | | * Near-just rotated [[5afdo]]: 6 5 9 8 7 |
| | | * Near-just [[6afdo]]: 8 7 5 6 5 4 |
| >60 NOTES/EQUAVE
| |
| * [[Minortone]] (52.5, 70, 0.030)
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| == 7LIM ==
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| ~10 NOTES/EQUAVE
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| * [[Pajara]] (6, 8, 0.020)
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| * [[Dominant]] (3, 4, 0.021)
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| * [[Diminished]] (6, 8, 0.022)
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| * [[Blacksmith]] (7.5, 10, 0.026)
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| * [[August]] (9, 12, 0.026)
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| * [[Negri]] (6, 8, 0.026)
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| * [[Keemun]] (9, 12, 0.027)
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| * [[Injera]] (9, 12, 0.031)
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| * [[Porcupine]] (9, 12, 0.041)
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| * [[Doublewide]] (9, 12, 0.043)
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| * [[Inflated]] (9, 12, 0.055)
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| * [[Superpelog]] (9, 12, 0.058)
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| * [[Shrutar]] (14, 0.19)
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| ~20 NOTES/EQUAVE
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| * [[Meantone]] (15, 20, 0.014)
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| * [[Magic]] (18, 24, 0.019)
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| * [[Orwell]] (16.5, 22, 0.021)
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| * [[Augene]] (13.5, 18, 0.025)
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| * [[Myna]] (15, 20, 0.027)
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| * [[Godzilla]] (12, 16, 0.027)
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| * [[Valentine]] (18, 24, 0.031)
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| * [[Superpyth]] (13.5, 18, 0.032)
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| * [[Mothra]] (18, 24, 0.037)
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| * [[Flattone]] (13.5, 18, 0.039)
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| * [[Opossum]] (13.5, 18, 0.041)
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| * [[Hedgehog]] (15, 20, 0.044)
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| * [[Beatles]] (13.5, 18, 0.046)
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| * [[Liese]] (16.5, 22, 0.047)
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| * [[Catler]] (18, 24, 0.050)
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| * [[Triforce]] (13.5, 18, 0.055)
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| * [[Nautilus]] (15, 20, 0.057)
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| * [[Schism]] (12, 16, 0.057)
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| * [[Lemba]] (12, 16, 0.062)
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| ~30 NOTES/EQUAVE
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| * [[Miracle]] (19.5, 26, 0.017)
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| * [[Hemiwuerschmidt]] (24, 32, 0.020)
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| * [[Garibaldi]] (22.5, 30, 0.022)
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| * [[Amity]] (25.5, 34, 0.024)
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| * [[Sensi]] (19.5, 26, 0.026)
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| * [[Harry]] (25.5, 34, 0.034)
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| * [[Diaschismic]] (27, 36, 0.038)
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| ~40 NOTES/EQUAVE
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| * [[Catakleismic]] (33, 44, 0.022)
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| * [[Misty]] (30, 40, 0.037)
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| * [[Unidec]] (33, 44 0.038)
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| ~50 NOTES/EQUAVE
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| * [[Ennealimmal]] (40.5, 54, 0.0036)
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| * [[Tertiaseptal]] (40.5, 54, 0.013)
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| * [[Hemififths]] (37.5, 50, 0.022)
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| >60 NOTES/EQUAVE
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| * [[Enneadecal]] (85.5, 114, 0.011)
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| * [[Ragismic_microtemperaments#Supermajor|Supermajor]] (112.5, 150, 0.011)
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| * [[Seqsquiquartififths]] (54, 72, 0.011)
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| * [[Pontiac]] (70.5, 94, 0.014)
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| * [[Parakleismic]] (52.5, 70, 0.027)
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| * [[Trinity]] (151.5, 202, 0.12)
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| == THE LIST WITH 1.5X GRAHAM COMPLEXITY ==
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| == 5LIM ==
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| ~10 NOTES/EQUAVE
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| * [[Helmholtz]] (12, 16, 0.0043)
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| * [[Meantone]] (6, 8, 0.0074)
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| * [[Hanson]] (9, 12, 0.013)
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| * [[Augmented]] (4.5, 6, 0.022)
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| * [[Vishnu]] (10.5, 14, 0.031) (!!!!!!) | |
| * [[Porcupine]] (7.5, 10, 0.031)
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| * [[Sensipent]] (13.5, 18, 0.035)
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| * [[Diaschismic]] (12, 16, 0.038)
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| * [[Magic]] (7.5, 10, 0.039)
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| * [[Mavila]] (6, 8, 0.040)
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| * [[Wuerschmidt]] (12, 16, 0.041)
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| * [[Dimipent]] (6, 8, 0.047)
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| * [[Tetracot]] (13.5, 18, 0.049)
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| * [[Blackwood]] (7.5, 10, 0.064)
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| * [[Negri]] (10.5, 14, 0.087)
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| * [[Misty]] (7.5, 10, 0.11)
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| * [[Valentine]] (13.5, 18, 0.12)
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| * [[Superpyth]] (13.5, 18, 0.14)
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| * [[Ripple]] (12, 16, 0.14)
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| * [[Whitewood]] (10.5, 14, 0.16)
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| * [[Passion]] (13.5, 18, 0.17)
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| ~20 NOTES/EQUAVE
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| * [[Luna]] (22.5, 30, 0.021)
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| * [[Amity]] (19.5, 26, 0.022)
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| * [[Orson]] (15, 20, 0.041)
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| * [[Parakleismic]] (21, 28, 0.043)
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| * [[Compton]] (18, 24, 0.094)
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| ~30 NOTES/EQUAVE
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| * [[Kwazy]] (19.5, 26, 0.014)
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| * [[Gravity]] (25.5, 34, 0.093)
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| ~40 NOTES/EQUAVE
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| * [[Ennealimmal]] (40.5, 54, ??)
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| ~50 NOTES/EQUAVE
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| * [[Minortone]] (52.5, 70, 0.030)
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| >60 NOTES/EQUAVE
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| == 7LIM ==
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| ~10 NOTES/EQUAVE
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| * [[Pajara]] (6, 8, 0.020)
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| * [[Dominant]] (3, 4, 0.021)
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| * [[Diminished]] (6, 8, 0.022) | |
| * [[Augene]] (13.5, 18, 0.025)
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| * [[Blacksmith]] (7.5, 10, 0.026)
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| * [[August]] (9, 12, 0.026)
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| * [[Negri]] (6, 8, 0.026)
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| * [[Godzilla]] (12, 16, 0.027) | |
| * [[Keemun]] (9, 12, 0.027)
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| * [[Injera]] (9, 12, 0.031)
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| * [[Superpyth]] (13.5, 18, 0.032)
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| * [[Flattone]] (13.5, 18, 0.039)
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| * [[Porcupine]] (9, 12, 0.041)
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| * [[Opossum]] (13.5, 18, 0.041)
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| * [[Doublewide]] (9, 12, 0.043)
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| * [[Beatles]] (13.5, 18, 0.046)
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| * [[Triforce]] (13.5, 18, 0.055)
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| * [[Inflated]] (9, 12, 0.055)
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| * [[Schism]] (12, 16, 0.057)
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| * [[Superpelog]] (9, 12, 0.058)
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| * [[Lemba]] (12, 16, 0.062)
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| * [[Shrutar]] (14, 0.19)
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| ~20 NOTES/EQUAVE
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| * [[Meantone]] (15, 20, 0.014)
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| * [[Miracle]] (19.5, 26, 0.017)
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| * [[Magic]] (18, 24, 0.019)
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| * [[Hemiwuerschmidt]] (24, 32, 0.020)
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| * [[Orwell]] (16.5, 22, 0.021)
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| * [[Garibaldi]] (22.5, 30, 0.022)
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| * [[Sensi]] (19.5, 26, 0.026)
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| * [[Myna]] (15, 20, 0.027)
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| * [[Valentine]] (18, 24, 0.031)
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| * [[Mothra]] (18, 24, 0.037)
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| * [[Hedgehog]] (15, 20, 0.044)
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| * [[Liese]] (16.5, 22, 0.047)
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| * [[Catler]] (18, 24, 0.050)
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| * [[Nautilus]] (15, 20, 0.057)
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| ~30 NOTES/EQUAVE
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| * [[Catakleismic]] (33, 44, 0.022)
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| * [[Amity]] (25.5, 34, 0.024)
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| * [[Harry]] (25.5, 34, 0.034)
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| * [[Misty]] (30, 40, 0.037)
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| * [[Diaschismic]] (27, 36, 0.038)
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| * [[Unidec]] (33, 44 0.038)
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| ~40 NOTES/EQUAVE
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| * [[Ennealimmal]] (40.5, 54, 0.0036)
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| * [[Tertiaseptal]] (40.5, 54, 0.013)
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| * [[Hemififths]] (37.5, 50, 0.022)
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| ~50 NOTES/EQUAVE
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| * [[Seqsquiquartififths]] (54, 72, 0.011)
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| * [[Parakleismic]] (52.5, 70, 0.027)
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| >60 NOTES/EQUAVE
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| * [[Enneadecal]] (85.5, 114, 0.011)
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| * [[Ragismic_microtemperaments#Supermajor|Supermajor]] (112.5, 150, 0.011)
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| * [[Pontiac]] (70.5, 94, 0.014)
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| * [[Trinity]] (151.5, 202, 0.12)
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| STILL TO-DO:
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| |-
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| ! 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]]
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| | [[unidec]], [[harry]], [[sqrtphi]], [[tritikleismic]], [[hemiwuerschmidt]], [[ennealimnic]], [[hemithirds]], [[catakleismic]], [[wizard]]
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| | [[hemienneadecal]], [[hemiennealimmal]], [[ennealimmal]], [[vishnu]], [[quasiorwell]], [[trinity]]
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| |-
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| ! 13-limit <br>(2 . 3 . 5 . 7 . 11 . 13)
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| |
| |
| | [[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>
| |