1029/1024: Difference between revisions

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'''1029/1024''', the '''gamelisma''', is a [[7-limit]] (also 2.3.7 subgroup) [[small comma]] measuring about 8.4 cents. It is the amount by which a stack of three [[8/7]]s falls short of [[3/2]]. Tempering out this comma for the 2.3.7 subgroup leads to [[slendric]] temperament. In addition to the perfect fifth being split into three equal parts, the [[256/243|Pythagorean limma (256/243)]] is also split into three in the same way, one for [[64/63]]~[[49/48]] and two for [[28/27]]. It therefore provides the little interval known as [[quark]].

== ~~See also~~ ==

== Temperaments ==

* [[Gamelismic family]], the rank-3 family where it is tempered out

Tempering out this comma alone in the 7-limit leads to the rank-3 [[gamelismic]] temperament, or in the 2.3.7 [[subgroup]], the rank-2 [[slendric]] temperament. Either case, it enables the [[slendric pentad]]. See [[Gamelismic family]] for the rank-3 family where it is tempered out. See [[Gamelismic clan]] for the rank-2 clan where it is tempered out.

* [[Gamelismic clan]], the rank-2 clan where it is tempered out

* [[~~Slendric pentad~~]]

== Etymology ==

This comma was known as the ''gamelan residue'' no later than May 2001. It was allegedly named by [[Adriaan Fokker]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22907.html Yahoo! Tuning Group| ''Re: "Miracle Scale" -- comparing notes on an exciting week'']</ref>.

== Notes ==

[[Category:Slendric]]

[[Category:Gamelismic]]

@@ Line 7: / Line 7: @@
 '''1029/1024''', the '''gamelisma''', is a [[7-limit]] (also 2.3.7 subgroup) [[small comma]] measuring about 8.4 cents. It is the amount by which a stack of three [[8/7]]s falls short of [[3/2]]. Tempering out this comma for the 2.3.7 subgroup leads to [[slendric]] temperament. In addition to the perfect fifth being split into three equal parts, the [[256/243|Pythagorean limma (256/243)]] is also split into three in the same way, one for [[64/63]]~[[49/48]] and two for [[28/27]]. It therefore provides the little interval known as [[quark]].
-== See also ==
+== Temperaments ==
-* [[Gamelismic family]], the rank-3 family where it is tempered out
+Tempering out this comma alone in the 7-limit leads to the rank-3 [[gamelismic]] temperament, or in the 2.3.7 [[subgroup]], the rank-2 [[slendric]] temperament. Either case, it enables the [[slendric pentad]]. See [[Gamelismic family]] for the rank-3 family where it is tempered out. See [[Gamelismic clan]] for the rank-2 clan where it is tempered out.
-* [[Gamelismic clan]], the rank-2 clan where it is tempered out
-* [[Slendric pentad]]
+== Etymology ==
+This comma was known as the ''gamelan residue'' no later than May 2001. It was allegedly named by [[Adriaan Fokker]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_22907.html Yahoo! Tuning Group| ''Re: "Miracle Scale" -- comparing notes on an exciting week'']</ref>.
+== Notes ==
 [[Category:Slendric]]
 [[Category:Gamelismic]]