1716/1715: Difference between revisions

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{{Infobox Interval

| Name = ~~Lummic~~ comma

| Name = lummic comma

| Color name = 3o1or<sup>3</sup>g-2, tholotriru-agu negative 2nd

| Comma = yes

}} The ~~Lummic~~ comma, 1716/1715, is a ~~superparticular 11~~-limit comma ~~which~~ is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others. ~~It factors into the~~ [[~~cantonisma~~]].

}}

The '''lummic comma''', '''1716/1715''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 1.0{{cent}}. It often arises as the difference between simpler commas: ([[176/175]])/([[196/195]]), ([[351/350]])/([[441/440]]), ([[1573/1568]])/([[385/384]]), ([[540/539]])/([[1575/1573]]), and ([[1001/1000]])/([[2401/2400]]). It factors into ([[2080/2079]])([[9801/9800]]).

Tempering it out leads to the rank-5 '''lummic temperament'''. It is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others.

== Etymology ==

This comma was named after [[Carl Lumma]]. Perhaps interestingly, a ''lummisma'' was first proposed by [[Gene Ward Smith]] in 2011 as a name for 1001/1000, but Carl Lumma pointed out that 1716/1715 was "better"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97947.html Yahoo! Tuning Group | ''Short commas'']</ref>, which might ultimately led to this comma being named so.

== Notes ==

[[Category:Lummic]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Lummic comma
+| Name = lummic comma
+| Color name = 3o1or<sup>3</sup>g-2, tholotriru-agu negative 2nd
 | Comma = yes
-}} The Lummic comma, 1716/1715, is a superparticular 11-limit comma which is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others. It factors into the [[cantonisma]].
+}}
+The '''lummic comma''', '''1716/1715''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 1.0{{cent}}. It often arises as the difference between simpler commas: ([[176/175]])/([[196/195]]), ([[351/350]])/([[441/440]]), ([[1573/1568]])/([[385/384]]), ([[540/539]])/([[1575/1573]]), and ([[1001/1000]])/([[2401/2400]]). It factors into ([[2080/2079]])([[9801/9800]]).
+Tempering it out leads to the rank-5 '''lummic temperament'''. It is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others.
+== Etymology ==
+This comma was named after [[Carl Lumma]]. Perhaps interestingly, a ''lummisma'' was first proposed by [[Gene Ward Smith]] in 2011 as a name for 1001/1000, but Carl Lumma pointed out that 1716/1715 was "better"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97947.html Yahoo! Tuning Group | ''Short commas'']</ref>, which might ultimately led to this comma being named so.
+== Notes ==
+[[Category:Lummic]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]