119edo: Difference between revisions

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119edo is in[[consistent]] in the 5-odd-limit, with both harmonics 3 and 5 falling halfway between steps. It does have potential as a 2.7.9.15 subgroup system. In higher limits, 2.7.15.29.37 is a strong interpretation.

Nonetheless, there is a number of mappings to be considered. In the 11-limit, 119edo's provides the [[optimal patent val]] for the 11-limit [[androboh]] and [[quasitemp]] temperaments. The patent val also tunes the 11-limit [[quadrawell]] temperament. 119c val tunes [[treecreeper]], [[sensus]], and [[senator]] as high as the 17-limit, while the 119b val is an extremely good approximation to [[2/7-comma meantone]] in addition to supporting [[chlorine]] (by equating [[25/24]] very accurately to one step of 17edo) and 7-limit [[mothra]].

Nonetheless, there is a number of mappings to be considered. In the 11-limit, 119edo's provides the [[optimal patent val]] for the 11-limit [[androboh]] and [[quasitemp]] temperaments. The patent val also tunes the 11-limit [[quadrawell]] temperament. 119c val tunes [[treecreeper]], [[sensus]], and [[senator]] as high as the 17-limit, while the 119b val is an extremely good approximation to [[2/7-comma meantone]] in addition to supporting [[chlorine]] (by equating [[25/24]] very accurately to one step of 17edo) and 7-limit [[mothra]], with the 119be val supporting 11-limit mothra with a flat tendency.

=== Odd harmonics ===

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== Scales ==

* Approximation of 2/7 comma [[meantone]]: 19 19 19 12 19 19 19 19 12

* Approximation of 2/7 comma [[meantone]]: 19 19 12 19 19 19 12

* Approximation of half comma [[archy]]: 23 23 2 23 23 23 2, 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2

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

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 edo is in[[consistent]] in the 5-odd-limit, with both harmonics 3 and 5 falling halfway between steps. It does have potential as a 2.7.9.15 subgroup system. In higher limits, 2.7.15.29.37 is a strong interpretation.
-Nonetheless, there is a number of mappings to be considered. In the 11-limit, 119edo's provides the [[optimal patent val]] for the 11-limit [[androboh]] and [[quasitemp]] temperaments. The patent val also tunes the 11-limit [[quadrawell]] temperament. 119c val tunes [[treecreeper]], [[sensus]], and [[senator]] as high as the 17-limit, while the 119b val is an extremely good approximation to [[2/7-comma meantone]] in addition to supporting [[chlorine]] (by equating [[25/24]] very accurately to one step of 17edo) and 7-limit [[mothra]].
+Nonetheless, there is a number of mappings to be considered. In the 11-limit, 119edo's provides the [[optimal patent val]] for the 11-limit [[androboh]] and [[quasitemp]] temperaments. The patent val also tunes the 11-limit [[quadrawell]] temperament. 119c val tunes [[treecreeper]], [[sensus]], and [[senator]] as high as the 17-limit, while the 119b val is an extremely good approximation to [[2/7-comma meantone]] in addition to supporting [[chlorine]] (by equating [[25/24]] very accurately to one step of 17edo) and 7-limit [[mothra]], with the 119be val supporting 11-limit mothra with a flat tendency.
 === Odd harmonics ===
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 == Scales ==
-* Approximation of 2/7 comma [[meantone]]: 19 19 19 12 19 19 19 19 12
+* Approximation of 2/7 comma [[meantone]]: 19 19 12 19 19 19 12
 * Approximation of half comma [[archy]]: 23 23 2 23 23 23 2, 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2
 [[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->