830297/829939: Difference between revisions

Line 5:

| Comma = yes

}}

'''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)7(19/34)2.

'''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|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)7(19/34)2).

== See also ==

* [[Unnoticeable comma]]

* [[2.11.13.17.19 subgroup]]

* [[137edo]]

* [[2432/2431]]

* [[Vydubychi]]

* [[Mercury meantone]]

* [[1445/1444]]

* [[~~Mercury meantone~~]]

* [[Gentle region]]

* [[364/363]]

* [[Gentle region]]

* [[Unnoticeable comma]]

[[Category:Unnoticeable commas]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 5: / Line 5: @@
 | Comma = yes
 }}
-'''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 ==
+* [[Unnoticeable comma]]
+* [[2.11.13.17.19 subgroup]]
+* [[137edo]]
 * [[2432/2431]]
+* [[Vydubychi]]
+* [[Mercury meantone]]
 * [[1445/1444]]
-* [[Mercury meantone]]
+* [[Gentle region]]
 * [[364/363]]
-* [[Gentle region]]
-* [[Unnoticeable comma]]
 [[Category:Unnoticeable commas]]
 [[Category:Commas named for their regular temperament properties]]