5832/5831: Difference between revisions

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| Comma = yes

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'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]'s and [[17/8]].

'''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.

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== 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]]

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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. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.

[[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. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.

== Etymology ==

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== See also ==

* [[List of superparticular intervals]]

* [[Unnoticeable comma]]

[[Category:Chlorismic]]

[[Category:Commas with unknown etymology]]

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+'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]'s and [[17/8]].
-'''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.
@@ Line 11: / Line 10: @@
 == 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]]
@@ Line 19: / Line 17: @@
 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. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.
+[[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. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma.
 == Etymology ==
@@ Line 30: / Line 27: @@
 == See also ==
 * [[List of superparticular intervals]]
-* [[Unnoticeable comma]]
 [[Category:Chlorismic]]
 [[Category:Commas with unknown etymology]]