Xenharmonic Wiki

User:BudjarnLambeth/Sandbox: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
mNo edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
 
(103 intermediate revisions by the same user not shown)
Line 1: Line 1:
'''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


; 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


Between
; 20-tone blackwood&greenwood
0.0239167
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.
and
* 3 2 2 1 2 2 1 1 1 3 1 1 1 2 2 1 2 2 3 2
0.0239833


{| class="wikitable sortable"
; Muggles[19]
|+ style="font-size: 105%;" | List of Octave-Based Fine Measures (Logarithmic)
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
! Unit Name (Symbol):
 
! Divisions of Octave
; Ripple[23]
|-
This [[modmos]] of ripple[12] sounds sort of like the familiar [[12edo]]:
| [[Millioctave]] (moct)
* 3 3 3 2 3 3 3 4 2 3 3 3
| [[1000edo|1000]]
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
| [[Cent]] (¢)
 
| 1200
; [[MOS scale]]s
|-
* [[Greenwood]][7]/[[whitewood]][7]: 5 5 5 5 5 5 5 (''a.k.a. [[7edo]]; an [[equiheptatonic]] scale'')
| Greater muon
* [[Greenwood]][14]: 3 2 3 2 3 2 3 2 3 2 3 2 3 2
| [[1224edo|1224]]
* [[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
| Triangular cent
* [[Muggles]][13]: 2 2 5 2 2 2 5 2 2 2 5 2 2
| [[1260edo|1260]]
* [[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
| Pion
* [[Ripple]][12]: 3 3 3 3 3 3 3 3 2 3 3 3
| [[1272edo|1272]]
* [[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
| Pound
* [[Whitewood]][14]: 1 4 1 4 1 4 1 4 1 4 1 4 1 4
| [[1344edo|1344]]
* [[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'')
| Neutron
* [[Blackwood|5/4-blackwood]][10]: 4 3 4 3 4 3 4 3 4 3
| [[1392edo|1392]]
* [[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
| Lesser muon
* [[Blackwood|6/5-blackwood]][10]: 2 5 2 5 2 5 2 5 2 5
| [[1428edo|1428]]
* [[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
| Decifarab
{| class="wikitable mw-collapsible mw-collapsed"
| [[1440edo|1440]]
|+Secund[17] subsets
|-
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
| Quadratic cent
 
| [[1452edo|1452]]
*[[Antipental blues]]: 8 7 1 4 8 7
|-
* Antipental blues maj 6th: 8 7 1 4 7 1 7
| Ksion
* Antipental blues neutral 7th: 8 7 1 4 8 3 4
| [[1476edo|1476]]
* Antipental blues maj 7th: 8 7 1 4 8 4 3
|-
* Antipental blues harmonic: 8 7 1 4 3 9 3
| Cubic cent
* [[Pelog]]-like heptatonic: 3 5 7 5 3 8 4 (''Phrygian-like'')
| [[1500edo|1500]]
* Pelog-like pentatonic: 3 5 12 3 12
|-
* Secund chance ([[modmos]] of secund[8]): 4 7 4 1 4 4 7 4
| Heptamu (7mu)
* Secund-tempered rotated [[5afdo]]: 7 4 9 8 7
| [[1536edo|1536]]
* Secund-tempered [[6afdo]]: 8 7 5 7 4 4
|-
* Undecimal Mixolydian: 7 4 4 5 7 1 7
| Rhoon
* Undecimal minor hexatonic: 7 1 7 5 8 7
| [[1560edo|1560]]
* Undecimal quasi-equipentatonic: 7 8 5 8 7
|-
* 12 from secund[17]: 7 1 3 4 1 4 3 4 1 3 1 3
| śata
|}
| [[1600edo|1600]]
 
|-
{| class="wikitable mw-collapsible mw-collapsed"
| Tile
|+6/5-blackwood[20] subsets
| [[1632edo|1632]]
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
|-
 
| [[Iota]]
*Blackwood meta-Hirajoshi: 2 3 4 2 5 7 2 12
| [[1700edo|1700]]
** ''Blackwood pseudo-Akebono neutral: 5 9 7 2 12''
|-
** ''Blackwood pseudo-Akebono supermajor: 7 7 7 2 12''
| [[Harmos]]
** ''Blackwood pseudo-Hirajoshi: 2 12 7 2 12''
| [[1728edo|1728]]
** ''Blackwood pseudo-[[pelog]]: 5 4 12 2 12''
|-
* Blackwood meta-partial: 4 3 2 2 3 7 7 7
| Hind śat / Indian cent
** ''Blackwood-tempered [[5afdo]]: 7 4 10 7 7''
| 2200
** ''Mechanical (from [[16afdo]]): 9 2 10 7 7''
|-
** ''Starship (from [[68ifdo]]'', see [[ifdo]]''): 4 7 3 7 7 7''
| [[Mina]]
** ''Volcanic (from [[16afdo]]): 4 7 10 7 7''
| [[2460edo|2460]]
* Meta-monsoon: 7 4 3 2 5 9 5
|-
** ''Monsoon (from [[47zpi]]): 7 7 7 9 5''
| Centidiesis
** ''Monsoon otonal: 7 9 5 9 5''
| 3100
** ''Monsoon major: 11 5 5 9 5''
|-
* Blackwood neutral nonatonic: 4 7 3 2 5 4 5 2 3
| Centiméride
* Blackwood undecimal harmonic: 4 8 4 5 4 5 5
| 4300
* Dungeon (from [[30afdo]]): 11 3 7 2 12
|-
* Moonbeam (from [[16afdo]]): 7 2 12 12 2
| [[Major tina]]
* Underpass (from [[10afdo]]): 9 12 5 4 5
| [[8269edo|8269]]
* 12 from 6/5-blackwood[20]: 4 3 2 2 3 7 2 3 2 2 3 2
|-
|}
| [[Tina]]
 
| [[8539edo|8539]]
{| class="wikitable mw-collapsible mw-collapsed"
|-
|+Ripple[23] subsets
| [[Purdal]]
|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].''
| [[9900edo|9900]]
 
|-
* Clear pond (ripple[12] [[modmos]]): 3 3 3 2 3 3 3 4 2 3 3 3
| [[Türk sent]] / [[Turkish cent]]
** Lydian: 6 5 6 3 6 6 3
| [[10600edo|10600]]
** Major: 6 5 3 6 6 6 3
|-
** Mixolydian: 6 5 3 6 6 3 6
| [[Prima]]
** Dorian: 6 3 5 6 6 3 6
| [[12276edo|12276]]
** Minor: 6 3 5 6 4 5 6
|-
** Phrygian: 3 6 5 6 4 5 6
| [[Jinn]]
** Locrian: 3 6 5 3 7 5 6
| [[16808edo|16808]]
** Harmonic minor: 6 3 5 6 4 8 3
|-
** Melodic minor: 6 3 5 6 6 6 3
| [[Jot]]
** Major pentatonic: 6 8 6 6 9
| [[30103edo|30103]]
** Minor pentatonic: 9 5 6 9 6
|-
** Minor blues: 9 5 3 3 9 6
| [[Imp]]
** Minor blues heptatonic: 9 5 3 3 6 3 6
| [[31920edo|31920]]
** Akebono I: 6 3 11 6 9
|-
* Hirajoshi: 6 3 11 3 12
| [[Flu]]
* Subminor hexatonic: 6 2 6 6 9 6
| [[46032edo|46032]]
* Subminor pentatonic: 8 6 6 9 6
|-
* Subminor blues: 8 6 3 3 9 6
| [[Normal atom]]
* Subminor blues heptatonic: 8 6 3 3 6 3 6
| [[78005edo|78005]]
|-
| [[MIDI Tuning Standard unit]] (14mu)
| [[196608edo|196608]]
|}
|}


Between
; Other scales
0.0239167
* Amulet{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3
and
* 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
0.0239833
* Near-just rotated [[5afdo]]: 6 5 9 8 7
* Near-just [[6afdo]]: 8 7 5 6 5 4
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Sandbox"