5832/5831: Difference between revisions

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'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] [[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 semitone and a [[3/2]] perfect fifth, that is, a [[27/17]] quasi-tempered minor sixth.

'''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]].

In ~~terms of commas, it is the difference between the palingenetic comma (~~[[~~1701/1700~~]]~~) and the breedsma ([[2401/2400]])~~, ~~as well as the difference between the squbema ([[729/728]]) and~~ the ~~horizon~~ comma ([[~~833/832~~]]).

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

In [[~~Sagittal notation~~]], ~~this~~ is ~~the default comma represented by two~~ [[~~Tina|tinas~~]].

== 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 suparparticular pairs:

* [[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'''. It equates a stack of three [[7/6]] subminor thirds with a stack consisting of an [[18/17]] lesser septendecimal semitone and a [[3/2]] perfect fifth, that is, a [[27/17]] quasi-tempered minor sixth.

== See also ==

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-'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] [[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 semitone and a [[3/2]] perfect fifth, that is, a [[27/17]] quasi-tempered minor sixth.
+'''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]].
-In terms of commas, it is the difference between the palingenetic comma ([[1701/1700]]) and the breedsma ([[2401/2400]]), as well as the difference between the squbema ([[729/728]]) and the horizon comma ([[833/832]]).
+In [[Sagittal notation]], this is the default comma represented by two [[tina]]s.
-In [[Sagittal notation]], this is the default comma represented by two [[Tina|tinas]].
+== 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 suparparticular pairs:
+* [[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'''. It equates a stack of three [[7/6]] subminor thirds with a stack consisting of an [[18/17]] lesser septendecimal semitone and a [[3/2]] perfect fifth, that is, a [[27/17]] quasi-tempered minor sixth.
 == See also ==