10th-octave temperaments: Difference between revisions

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[[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.
[[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).  
Temperaments discussed elsewhere include: [[quintosec family #Decoid|decoid]], [[quintile family #Decile|decile]], [[metric microtemperaments #Decimetra|decimetra]], [[trisedodge family #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 ==
== Neon ==