11th-octave temperaments: Difference between revisions

- hendeca, - undeka (moved to appropriate temp collection pages)
Canonicalize hendecatonic and undeka. Undeka is weaker but it hardly matters
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An 11th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 11. Although [[11edo]] itself is not particularly accurate for low-complexity harmonics, some temperaments which are multiples of 11 are.
An 11th-octave temperament can be described by temperament merging of edos whose greatest common divisor is 11. Although [[11edo]] itself is not particularly accurate for low-complexity harmonics, some temperaments which are multiples of 11 are.


== Hendecapent ==
== Hendecatonic ==
This temperament has a period of 1/11 octave, which represents [[16/15]] in the 5-limit. There are some 7-limit extensions include [[Porwell temperaments #Hendecatonic|hendecatonic]] ({{nowrap| 22 & 77 }}) and [[#Hendeca|hendeca]] ({{nowrap| 22 & 33 }}).
: ''For extensions, see [[Porwell temperaments #Hendecatonic]] and [[Marvel temperaments #Hendeca]].''
 
This temperament has a period of 1/11 octave, which represents [[16/15]] in the 5-limit.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5
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[[Badness]] (Sintel): 10.7
[[Badness]] (Sintel): 10.7


== Undekapent ==
== Undeka ==
: ''For extensions, see [[Keemic temperaments #Undeka]].''
 
This temperament has a period of 1/11 octave, three of them represent [[6/5]] in the 5-limit.
This temperament has a period of 1/11 octave, three of them represent [[6/5]] in the 5-limit.


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== Elven ==
== Elven ==
{{See also| Sensibeta temperaments #Elven }}
: ''For extensions, see [[Sensibeta temperaments #Elven]].''


This temperament has a period of 1/11 octave, which represents [[3125/2916]] in the 5-limit.
This temperament has a period of 1/11 octave, which represents [[3125/2916]] in the 5-limit.