5832/5831: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = chlorisma

~~| Ratio = 5832/5831~~

| Color name = 17r3-3, sutriru negative 3rd, Sutriru comma

~~| Monzo = 3, 6, 0, -3, 0, 0, -1~~

| Comma = yes

~~| Cents = 0.29688~~

| Name =

| Color name = ~~17urrr~~-3, sutriru negative 3rd

| ~~FJS name~~ = ~~2d-37,7,7,17~~

}}

'''5832/5831''' is an exceptionally small [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]]~~. Tempering it out equates~~ a stack of three [[7/6]] ~~subminor thirds with a stack consisting of an~~ [[18/17]] ~~lesser septendecimal minor second and a~~ [[~~3/2~~]] ~~perfect fifth~~, ~~that~~ is~~, a~~ [[~~27/17~~]] ~~quasi-tempered minor sixth~~. In terms of commas, it's the difference between [[1701/1700]] and [[2401/2400]].

'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]s and [[17/8]].

In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.

== Commatic relations ==

In terms of commas, it is the difference between the following superparticular pairs:

* [[540/539]] and [[595/594]]

* [[729/728]] and [[833/832]]

* [[1701/1700]] and [[2401/2400]]

* [[1716/1715]] and [[2431/2430]]

* [[4914/4913]] and [[31213/31212]]

It factors into the following superparticular pair:

* [[9801/9800]] and [[14400/14399]]

== Temperaments ==

Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic temperament''', or in the 2.3.7.17 subgroup, the rank-3 '''chloric temperament'''. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves.

== Etymology ==

The chlorisma was named by [[User:Jerdle|Jerdle]] in 2021. Despite the similar name, it has no relation to the previously-named [[chlorine]] temperament.

== See also ==

* [[List of superparticular intervals]]

* [[Unnoticeable comma]]

[[Category:Chlorismic]]

[[Category:Commas with unknown etymology]]

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   {{Infobox Interval
-| Icon =
+| Name = chlorisma
-| Ratio = 5832/5831
+| Color name = 17r<sup>3</sup>-3, sutriru negative<br>3rd, Sutriru comma
-| Monzo = 3, 6, 0, -3, 0, 0, -1
+| Comma = yes
-| Cents = 0.29688
-| Name =
-| Color name = 17urrr-3, sutriru negative 3rd
-| FJS name = 2d-3<sub>7,7,7,17</sub>
 }}
-'''5832/5831''' is an exceptionally small [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]]. Tempering it out equates a stack of three [[7/6]] subminor thirds with a stack consisting of an [[18/17]] lesser septendecimal minor second and a [[3/2]] perfect fifth, that is, a [[27/17]] quasi-tempered minor sixth. In terms of commas, it's the difference between [[1701/1700]] and [[2401/2400]].
+'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of less than 0.3 cents. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]s and [[17/8]].
+In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.
+== Commatic relations ==
+In terms of commas, it is the difference between the following superparticular pairs:
+* [[540/539]] and [[595/594]]
+* [[729/728]] and [[833/832]]
+* [[1701/1700]] and [[2401/2400]]
+* [[1716/1715]] and [[2431/2430]]
+* [[4914/4913]] and [[31213/31212]]
+It factors into the following superparticular pair:
+* [[9801/9800]] and [[14400/14399]]
+== Temperaments ==
+Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic temperament''', or in the 2.3.7.17 subgroup, the rank-3 '''chloric temperament'''. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves.
+== Etymology ==
+The chlorisma was named by [[User:Jerdle|Jerdle]] in 2021. Despite the similar name, it has no relation to the previously-named [[chlorine]] temperament.
+== See also ==
+* [[List of superparticular intervals]]
+* [[Unnoticeable comma]]
+[[Category:Chlorismic]]
+[[Category:Commas with unknown etymology]]