35edo: Difference between revisions
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== Scales == | == Scales == | ||
=== Ripple scales === | |||
; Ripple[23] | ; Ripple[23] | ||
The ''[[ripple]][23]'' [[MOS scale]] makes maximum use of 35edo's dual-fifth nature, with both its sizes of fifth and fourth occurring frequently throughout the whole scale: | The ''[[ripple]][23]'' [[MOS scale]] makes maximum use of 35edo's dual-fifth nature, with both its sizes of fifth and fourth occurring frequently throughout the whole scale: | ||
* Symmetrical mode (has the most consonances): 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | * Symmetrical mode (has the most consonances): 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | ||
* | * Mode that includes the clear pond{{idio}} modmos: 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 1 2 1 | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
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* Underpass: 9 11 7 3 5 | * Underpass: 9 11 7 3 5 | ||
|} | |} | ||
; Clear pond{{idio}} | |||
The ''clear pond scale''{{idio}}, a [[modmos]] of ripple[12], tries to sound close to the familiar [[12edo]]: | |||
* 3 3 3 2 3 3 3 4 2 3 3 3 | |||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
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|''Contains [[Template:Idiosyncratic|idiosyncratic terms]].'' | |''Contains [[Template:Idiosyncratic|idiosyncratic terms]].'' | ||
* 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 | |||
|} | |} | ||
; 12-tone 7edo&5edo | |||
The ''12-tone 7edo&5edo 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 | |||
=== MOS scales === | |||
; 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 | |||
; Other [[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 | |||
=== Secund scales === | |||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+Secund[17] subsets | |+Secund[17] subsets | ||
| Line 919: | Line 921: | ||
|} | |} | ||
=== Blackwood scales === | |||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+6/5-blackwood[20] subsets | |+6/5-blackwood[20] subsets | ||
| Line 945: | Line 948: | ||
|} | |} | ||
=== Other scales === | |||
* Amulet{{idiosyncratic}}, approximated from [[magic]] in [[25edo]]: 3 1 3 3 1 3 4 3 3 1 3 4 3 | * 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 | * 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 | ||