10th-octave temperaments: Difference between revisions

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+valerisma is also of importance, 13/8 in 10edo. Adding in the same style as 37-11-comma is documented on 37th-octave temps.
Do not name/catalog equal temps. Refer to them by *2.13-subgroup 10et*, etc.
 
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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]], [[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 ==
== Neon ==
: ''For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''  
: ''For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''  
{{See also| Neon comma }}


Neon tempers out {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.  
Neon tempers out the [[neon comma]], {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.  


Extending neon with [[ragisma]], or equivalently with the linus comma, produces [[deca]].
Extending neon with [[ragisma]], or equivalently with the linus comma, produces [[deca]].