Cloudy comma: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 16807/16384

~~| Monzo = -14 0 0 5~~

~~| Cents = 44.12953~~

| Name = cloudy comma

| Color name =

| Color name = Lz<sup>5</sup>3, Laquinzo comma

~~| FJS name = d3~~<sup>~~7,7,7,7,7~~</sup>

| Comma = yes

| ~~Sound~~ =

}}

'''16807/16384''', the '''cloudy comma''', or systematically the '''5-7-comma''', is a [[medium comma]] in the [[7-limit]] with a size of about 44.1 [[cent]]s. It is the amount by which five [[8/7]]'s fall short of an octave. In the [[2.5.7 subgroup]], it exceeds [[128/125]] by the [[rainy comma]].

''~~'16807/16384'~~'', the ''~~'cloudy comma'~~'', ~~is a 7~~-~~limit medium comma. It is the amount by which five~~ [[~~8/7~~]]~~s fall short of one octave and exceeds~~ [[~~128/125~~]] by [[~~2100875/2097152~~]].

== Temperaments ==

[[Tempering out]] this comma splits the octave into 5 equal parts and maps the [[7/4|harmonic seventh]] to [[5edo|4\5]]. In the full 7-limit, this leads to the rank-3 [[cloudy]] temperament. For [[edo]]s ''N'' up to 65, the comma is tempered out if and only if 5 divides ''N''. Examples are [[5edo]], [[10edo]], [[15edo]], [[50edo]], [[55edo]] and [[65edo]]. Rank-2 temperaments tempering it out include [[blackwood]], [[coblack]], [[cloudtone]], [[sengasec]], [[warlock]], [[pentacloud]], [[decic]], [[pentadecal]], and [[quinkee]].

[[Category:Cloudy]]

~~[[Category:7-limit]]~~

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

[[Category:~~Medium comma~~]]

[[Category:~~Interval ratio~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 16807/16384
-| Monzo = -14 0 0 5
-| Cents = 44.12953
 | Name = cloudy comma
-| Color name =
+| Color name = Lz<sup>5</sup>3, Laquinzo comma
-| FJS name = d3<sup>7,7,7,7,7</sup>
+| Comma = yes
-| Sound =
 }}
+'''16807/16384''', the '''cloudy comma''', or systematically the '''5-7-comma''', is a [[medium comma]] in the [[7-limit]] with a size of about 44.1 [[cent]]s. It is the amount by which five [[8/7]]'s fall short of an octave. In the [[2.5.7 subgroup]], it exceeds [[128/125]] by the [[rainy comma]].
-'''16807/16384''', the '''cloudy comma''', is a 7-limit medium comma. It is the amount by which five [[8/7]]s fall short of one octave and exceeds [[128/125]] by [[2100875/2097152]].
+== Temperaments ==
+[[Tempering out]] this comma splits the octave into 5 equal parts and maps the [[7/4|harmonic seventh]] to [[5edo|4\5]]. In the full 7-limit, this leads to the rank-3 [[cloudy]] temperament. For [[edo]]s ''N'' up to 65, the comma is tempered out if and only if 5 divides ''N''. Examples are [[5edo]], [[10edo]], [[15edo]], [[50edo]], [[55edo]] and [[65edo]]. Rank-2 temperaments tempering it out include [[blackwood]], [[coblack]], [[cloudtone]], [[sengasec]], [[warlock]], [[pentacloud]], [[decic]], [[pentadecal]], and [[quinkee]].
+[[Category:Cloudy]]
-[[Category:7-limit]]
+[[Category:Commas named for their regular temperament properties]]
-[[Category:Medium comma]]
-[[Category:Interval ratio]]