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'''This is a working out sandbox page, not a content page.'''
== 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


{{Harmonics in cet| 1.99316 |intervals=prime|columns=11}}
; 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


{{Harmonics in equal|602|2|1|intervals=prime|columns=11}}
; 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


<pre>
; Muggles[19]
28.701432
Of all the regular temperaments available in 35edo, [[muggles]] approximates [[just intonation]] the most closely. Here is the muggles[19] [[MOS scale]]:
57.402864
* 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2
86.104296
114.805728
143.507160
172.208592
200.910024
229.611456
258.312888
287.014320
315.715752
344.417184
373.118616
401.820048
430.521480
459.222912
487.924344
516.625776
545.327208
574.028640
602.730072
631.431504
660.132936
688.834368
717.535800
746.237232
774.938664
803.640096
832.341528
861.042960
889.744392
918.445824
947.147256
975.848688
1004.550120
1033.251552
1061.952984
1090.654416
1119.355848
1148.057280
1176.758712
1205.460144


APS720jot Eugene[9]
; Ripple[23]
86.104296
This [[modmos]] of ripple[12] sounds sort of like the familiar [[12edo]]:
315.715752
* 3 3 3 2 3 3 3 4 2 3 3 3
401.820048
And it can be extended out to the ripple[23] [MOS scale]] which adds many [[7-limit]] intervals:
487.924344
* 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1
717.535800
803.640096
889.744392
1119.355848
1205.460144


.
; [[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]].''


pentatonic subsets
*[[Antipental blues]]: 8 7 1 4 8 7
86.104296
* Antipental blues maj 6th: 8 7 1 4 7 1 7
487.924344
* Antipental blues neutral 7th: 8 7 1 4 8 3 4
717.535800
* Antipental blues maj 7th: 8 7 1 4 8 4 3
803.640096
* Antipental blues harmonic: 8 7 1 4 3 9 3
1205.460144
* [[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
|}


86.104296
{| class="wikitable mw-collapsible mw-collapsed"
487.924344
|+6/5-blackwood[20] subsets
717.535800
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
889.744392
1205.460144


86.104296
*Blackwood meta-Hirajoshi: 2 3 4 2 5 7 2 12
487.924344
** ''Blackwood pseudo-Akebono neutral: 5 9 7 2 12''
717.535800
** ''Blackwood pseudo-Akebono supermajor: 7 7 7 2 12''
1119.355848
** ''Blackwood pseudo-Hirajoshi: 2 12 7 2 12''
1205.460144
** ''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
|}


315.715752
{| class="wikitable mw-collapsible mw-collapsed"
487.924344
|+Ripple[23] subsets
717.535800
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
803.640096
1205.460144


315.715752
* Clear pond (ripple[12] [[modmos]]): 3 3 3 2 3 3 3 4 2 3 3 3
487.924344
** Lydian: 6 5 6 3 6 6 3
717.535800
** Major: 6 5 3 6 6 6 3
889.744392
** Mixolydian: 6 5 3 6 6 3 6
1205.460144
** 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
|}


315.715752
; Other scales
487.924344
* Amulet{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3
717.535800
* 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
1119.355848
* Near-just rotated [[5afdo]]: 6 5 9 8 7
1205.460144
* Near-just [[6afdo]]: 8 7 5 6 5 4
 
401.820048
487.924344
717.535800
803.640096
1205.460144
 
401.820048
487.924344
717.535800
889.744392
1205.460144
 
401.820048
487.924344
717.535800
1119.355848
1205.460144
</pre>
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