343/338: Difference between revisions

(10 intermediate revisions by 6 users not shown)

Line 1:

{{Infobox Interval

~~| JI glyph =~~

| Name = sooty fox comma

~~| Ratio = 343/338~~

~~| Monzo = -1 0 0 3 0 -2~~

~~| Cents = 25.42240~~

| Name =

| Color name = 3uuz32, thuthutrizo 2nd

| ~~FJS name = M27,7,713,13~~

| Comma = yes

~~| Sound~~ =

}}

'''343/338''', the '''sooty fox comma''', is a [[small comma|small]] [[13-limit]] [[comma]] of 25.422 [[cent]]s. It is the amount by which a stack of two [[14/13]]'s exceeds [[8/7]], or the amount by which a stack of two [[26/21]]'s falls short of [[14/9]].

~~'''343/338''', an interval of 25.422~~ [[~~cent]]s, is the amount by which three [[8~~/7]]~~s and two~~ [[13/8]]~~s fall short of two octaves. Alternatively~~, ~~it is the amount by~~ which ~~three~~ [[7/4]]~~s exceed two~~ [[13/8]]~~s plus an octave~~.

It factors into simpler commas as ([[105/104]])⋅([[196/195]]), which in turn equals ([[196/195]])2⋅([[225/224]]).

It is tempered by [[~~19edo~~]].

== Temperaments ==

[[Tempering out]] this comma in the 13-limit leads to the rank-5 '''sooty fox''' temperament, and enables [[sooty fox chords]]. An obvious further temperament is to temper out 196/195 and/or 225/224, equating [[14/13]] with [[15/14]] as well as [[16/15]]. This in the 2.3.5.7.13 subgroup is an extension of [[marvel]] and a restriction of [[tripod]].

It is tempered out in [[edo]]s such as [[19edo]], [[31edo]], [[41edo]], and [[50edo]].

== Etymology ==

The comma is named after the Aleutian sooty fox sparrow, [https://www.inaturalist.org/taxa/343338-Passerella-iliaca-unalaschcensis taxa #343338] on iNaturalist.

It was named by [[Budjarn Lambeth]] in 2024, but he retracted the name one day later out of fear that it would be poorly received due to its arbitrary nature. However, another editor added the name back two months later, which Lambeth and others did not oppose, so the name stuck.

== See also ==

* [[~~Comma~~]]

* [[Sooty fox scale]] – equal divisions of 343/338

[[Category:~~13-limit~~]]

[[Category:Sooty fox]]

[[Category:~~Small commas~~]]

[[Category:Commas named for other reasons]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
+| Name = sooty fox comma
-| Ratio = 343/338
-| Monzo = -1 0 0 3 0 -2
-| Cents = 25.42240
-| Name =
 | Color name = 3uuz<sup>3</sup>2, thuthutrizo 2nd
-| FJS name = M2<sup>7,7,7</sup><sub>13,13</sub>
+| Comma = yes
-| Sound =
 }}
+'''343/338''', the '''sooty fox comma''', is a [[small comma|small]] [[13-limit]] [[comma]] of 25.422 [[cent]]s. It is the amount by which a stack of two [[14/13]]'s exceeds [[8/7]], or the amount by which a stack of two [[26/21]]'s falls short of [[14/9]].
-'''343/338''', an interval of 25.422 [[cent]]s, is the amount by which three [[8/7]]s and two [[13/8]]s fall short of two octaves. Alternatively, it is the amount by which three [[7/4]]s exceed two [[13/8]]s plus an octave.
+It factors into simpler commas as ([[105/104]])⋅([[196/195]]), which in turn equals ([[196/195]])<sup>2</sup>⋅([[225/224]]).
-It is tempered by [[19edo]].
+== Temperaments ==
+[[Tempering out]] this comma in the 13-limit leads to the rank-5 '''sooty fox''' temperament, and enables [[sooty fox chords]]. An obvious further temperament is to temper out 196/195 and/or 225/224, equating [[14/13]] with [[15/14]] as well as [[16/15]]. This in the 2.3.5.7.13 subgroup is an extension of [[marvel]] and a restriction of [[tripod]].
+It is tempered out in [[edo]]s such as [[19edo]], [[31edo]], [[41edo]], and [[50edo]].
+== Etymology ==
+The comma is named after the Aleutian sooty fox sparrow, [https://www.inaturalist.org/taxa/343338-Passerella-iliaca-unalaschcensis taxa #343338] on iNaturalist.
+It was named by [[Budjarn Lambeth]] in 2024, but he retracted the name one day later out of fear that it would be poorly received due to its arbitrary nature. However, another editor added the name back two months later, which Lambeth and others did not oppose, so the name stuck.
 == See also ==
-* [[Comma]]
+* [[Sooty fox scale]] – equal divisions of 343/338
-[[Category:13-limit]]
+[[Category:Sooty fox]]
-[[Category:Small commas]]
+[[Category:Commas named for other reasons]]