35edo: Difference between revisions

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== Scales ==

; 12-tone 7edo&5edo

~~One place~~ to ~~start using 35edo is the 12-tone 7edo&5edo scale (in~~ the key of C, 7edo on white keys, 5edo on black):

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

~~It works well on piano in the key of C, where it maps [[7edo]] to the white keys and [[5edo]] to the black keys.~~

; 24-tone blackwood&greenwood

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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]

~~Another place to start using 35edo if you want something more familiar to [[12edo]] music theory is this~~ [[modmos]] of ripple[12]~~, which~~ sounds sort of like 12edo:

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 the ripple[23] scale which ~~extends that modmos out into a parallel world of new~~ [[~~xenharmonic~~]] intervals:

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

~~; 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

; [[MOS scale]]s

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* 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

* Fresh pond{{idio}} ([[modmos]] of ripple[12]): 3 3 3 2 3 3 3 4 2 3 3 3

* Near-just rotated [[5afdo]]: 6 5 9 8 7

* Near-just [[6afdo]]: 8 7 5 6 5 4

@@ Line 790: / Line 790: @@
 == Scales ==
 ; 12-tone 7edo&5edo
-One place to start using 35edo is the 12-tone 7edo&5edo scale (in the key of C, 7edo on white keys, 5edo on black):
+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
-It works well on piano in the key of C, where it maps [[7edo]] to the white keys and [[5edo]] to the black keys.
 ; 24-tone blackwood&greenwood
@@ Line 801: / Line 800: @@
 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]
-Another place to start using 35edo if you want something more familiar to [[12edo]] music theory is this [[modmos]] of ripple[12], which sounds sort of like 12edo:
+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 the ripple[23] scale which extends that modmos out into a parallel world of new [[xenharmonic]] intervals:
+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
-; 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
 ; [[MOS scale]]s
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 * 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
+* Fresh pond{{idio}} ([[modmos]] of ripple[12]): 3 3 3 2 3 3 3 4 2 3 3 3
 * Near-just rotated [[5afdo]]: 6 5 9 8 7
 * Near-just [[6afdo]]: 8 7 5 6 5 4