101edo: Difference between revisions

Line 2:

~~101edo can be used to tune~~ the [[~~grackle~~]] temperament. It is the ~~26th~~ [[~~prime EDO~~]]. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13 and 15 limit least squares tuning.

== Theory ==

Using the [[patent val]], the equal temperament [[tempering out|tempers out]] 32805/32768 ([[schisma]]) and 51018336/48828125 in the 5-limit; [[126/125]] and [[2430/2401]] in the [[7-limit]]. It can be used to tune the [[grackle]] temperament. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13- and 15-odd-limit least squares tuning.

=== Odd harmonics ===

== ~~Theory~~ ==

=== Subsets and supersets ===

; [[~~5-limit~~]] ~~commas: 32805/32768 ( {{monzo| -15 8 1 }} )~~, ~~51018336/48828125 ( {{monzo| 5 13 -11 }} )~~

101edo is the 26th [[prime edo]], following [[97edo]] and before [[103edo]].

; [[~~7-limit~~]] ~~commas: 126/125, 32805/32768, 2430/2401~~

~~{{harmonics in equal|101}}~~

== Intervals ==

== ~~Some important MOS~~ scales ==

== Scales ==

=== Mos scales ===

'''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)

Line 200:

Line 203:

|}

== ~~Links~~ ==

== External links ==

* [http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal] {{dead link}}

[http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal] {{dead link}}

~~[[Category:Equal divisions of the octave|###]] ~~

[[Category:Armodue]]

[[Category:Grackle]]

~~[[Category:Prime EDO]]~~

~~[[Category:3-limit]]~~

@@ Line 2: / Line 2: @@
 {{EDO intro|101}}
-edo can be used to tune the [[grackle]] temperament. It is the 26th [[prime EDO]]. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13 and 15 limit least squares tuning.
+== Theory ==
+Using the [[patent val]], the equal temperament [[tempering out|tempers out]] 32805/32768 ([[schisma]]) and 51018336/48828125 in the 5-limit; [[126/125]] and [[2430/2401]] in the [[7-limit]]. It can be used to tune the [[grackle]] temperament. The 101cd val provides an excellent tuning for [[witchcraft]] temperament, falling between the 13- and 15-odd-limit least squares tuning.
+=== Odd harmonics ===
+{{Harmonics in equal|101}}
-== Theory ==
+=== Subsets and supersets ===
-; [[5-limit]] commas: 32805/32768 ( {{monzo| -15 8 1 }} ), 51018336/48828125 ( {{monzo| 5 13 -11 }} )
+edo is the 26th [[prime edo]], following [[97edo]] and before [[103edo]].
-; [[7-limit]] commas: 126/125, 32805/32768, 2430/2401
-{{harmonics in equal|101}}
 == Intervals ==
 {{Interval table}}
-== Some important MOS scales ==
+== Scales ==
+=== Mos scales ===
 '''25 13 25 25 13:''' ''3L2s MOS'' (Pentatonic)
@@ Line 200: / Line 203: @@
 |}
-== Links ==
+== External links ==
+* [http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal] {{dead link}}
-[http://tech.groups.yahoo.com/group/tuning-math/message/11157 The Ellis duodene in 101-equal] {{dead link}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
 [[Category:Armodue]]
 [[Category:Grackle]]
-[[Category:Prime EDO]]
-[[Category:3-limit]]