10th-octave temperaments: Difference between revisions

Line 1:

[[10edo]] is notable for having close approximations of [[15/14]] to one step, and [[13/8]] to 7 steps. 10th-octave temperaments naturally occur between any equal divisions of the octave whose greatest common divisor is 10.

[[10edo]] is notable for having close approximations of [[15/14]] to one step, the associated comma being the [[linus comma]] and [[13/8]] to 7 steps. 10th-octave temperaments naturally occur between any equal divisions of the octave whose greatest common divisor is 10.

Temperaments discussed elsewhere include: [[Quintosec family #Decoid|decoid]], [[Quintile family #Decile|decile]], [[Metric microtemperaments #Decimetra|decimetra]], [[Stearnsmic clan #Decistearn|decistearn]], [[Vishnu family #Decavish|decavish]], and [[Kalismic temperaments #Linus|linus]] (the 15/14 relationship mentioned above).

== Valerismic (rank-1) ==

Valerismic temperament tempers out the [[valerisma]], 137858491849/137438953472.

Subgroup: 2.13

Comma list: 2.13 {{monzo|-37 10}}

: mapping generators: ~2197/2048 = 1\10

[[Support]]ing [[ET]]s: 10N, N = 1 to 113

== Neon ==

@@ Line 1: / Line 1: @@
 {{Technical data page}}
 {{Infobox fractional-octave|10}}
-[[10edo]] is notable for having close approximations of [[15/14]] to one step, and [[13/8]] to 7 steps. 10th-octave temperaments naturally occur between any equal divisions of the octave whose greatest common divisor is 10.
+[[10edo]] is notable for having close approximations of [[15/14]] to one step, the associated comma being the [[linus comma]] and [[13/8]] to 7 steps. 10th-octave temperaments naturally occur between any equal divisions of the octave whose greatest common divisor is 10.
-Temperaments discussed elsewhere include: [[Quintosec family #Decoid|decoid]], [[Quintile family #Decile|decile]], [[Metric microtemperaments #Decimetra|decimetra]], [[Stearnsmic clan #Decistearn|decistearn]], [[Vishnu family #Decavish|decavish]], and [[Kalismic temperaments #Linus|linus]].
+Temperaments discussed elsewhere include: [[Quintosec family #Decoid|decoid]], [[Quintile family #Decile|decile]], [[Metric microtemperaments #Decimetra|decimetra]], [[Stearnsmic clan #Decistearn|decistearn]], [[Vishnu family #Decavish|decavish]], and [[Kalismic temperaments #Linus|linus]] (the 15/14 relationship mentioned above).
+== Valerismic (rank-1) ==
+Valerismic temperament tempers out the [[valerisma]], 137858491849/137438953472.
+Subgroup: 2.13
+Comma list: 2.13 {{monzo|-37 10}}
+{{mapping|legend=2| 10 37 }}
+: mapping generators: ~2197/2048 = 1\10
+[[Support]]ing [[ET]]s: 10N, N = 1 to 113
 == Neon ==