830297/829939: Difference between revisions
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'''830297/829939''' is an [[19-limit|11.13.17.19-subgroup]] [[unnoticeable comma]] equal to 0.7466¢, the amount by which three [[19/17]] wholetones fall short of two [[13/11]] minor thirds. It is [[Tempering_out|tempered out]] in [[26edo|26]], [[37edo|37]], [[87edo|87]], [[99edo|99ef]], [[111edo|111]], [[124edo|124]], [[137edo|137]], [[224edo|224]], [[311edo|311]], [[422edo|422]], [[460edo|460]], [[535edo|535]], [[935edo|935]], [[971edo|971]], and [[1395edo]], as well as in [[78edt|78]], [[197edt|197]], [[712edt|712]], [[1045edt|1045]], and [[1757edt]]. Additionally, because [[25edo]] efficiently tunes the 2.13/11.19/17 subgroup, most of its multiples up to [[850edo]] (including [[50edo]] and [[400edo]]) temper out this comma in the prime patent val alongside (13/11)<sup>7</sup>(19/34)<sup>2</sup>. | '''830297/829939''' is an [[19-limit|11.13.17.19-subgroup]] [[unnoticeable comma]] equal to 0.7466¢, the amount by which three [[19/17]] wholetones fall short of two [[13/11]] minor thirds. It is [[Tempering_out|tempered out]] in [[26edo|26]], [[37edo|37]], [[87edo|87]], [[99edo|99ef]], [[111edo|111]], [[124edo|124]], [[137edo|137]], [[224edo|224]], [[311edo|311]], [[422edo|422]], [[460edo|460]], [[535edo|535]], [[935edo|935]], [[971edo|971]], and [[1395edo]], as well as in [[78edt|78]], [[197edt|197]], [[449edo<!-- change this link to 712edt when that article is created -->|712]], [[1045edt|1045]], and [[1757edt]]. Additionally, because [[25edo]] efficiently tunes the 2.13/11.19/17 subgroup, most of its multiples up to [[850edo]] (including [[50edo]], [[125edo|125f-ET]], and [[400edo]]) temper out this comma in the prime patent val (alongside (13/11)<sup>7</sup>(19/34)<sup>2</sup>). | ||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | |||
* [[2.11.13.17.19 subgroup]] | |||
* [[137edo]] | |||
* [[2432/2431]] | * [[2432/2431]] | ||
* [[Vydubychi]] | |||
* [[Mercury meantone]] | |||
* [[1445/1444]] | * [[1445/1444]] | ||
* [[ | * [[Gentle region]] | ||
* [[364/363]] | * [[364/363]] | ||
[[Category:Unnoticeable commas]] | [[Category:Unnoticeable commas]] | ||
[[Category:Commas named for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||
Revision as of 16:47, 29 November 2024
| Interval information |
830297/829939 is an 11.13.17.19-subgroup unnoticeable comma equal to 0.7466¢, the amount by which three 19/17 wholetones fall short of two 13/11 minor thirds. It is tempered out in 26, 37, 87, 99ef, 111, 124, 137, 224, 311, 422, 460, 535, 935, 971, and 1395edo, as well as in 78, 197, 712, 1045, and 1757edt. Additionally, because 25edo efficiently tunes the 2.13/11.19/17 subgroup, most of its multiples up to 850edo (including 50edo, 125f-ET, and 400edo) temper out this comma in the prime patent val (alongside (13/11)7(19/34)2).