2080/2079: Difference between revisions

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| Comma = yes

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'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is ~~such~~ a ~~significant~~ comma ~~in the 13-limit being~~ the difference between eight pairs of superparticular ratios:

'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].

== Commatic relations ==

This comma identifies itself as the difference difference between eight pairs of superparticular ratios:

* [[64/63]] and [[66/65]]

* [[78/77]] and [[81/80]]

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== Temperaments ==

By tempering it out is defined the '''ibnsinmic temperament''', which enables the ~~'''~~ibnsinmic chords~~'''~~, the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

By tempering it out is defined the '''ibnsinmic temperament''', which enables the [[ibnsinmic chords]], the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.

[[Subgroup]]: 2.3.5.7.11.13

@@ Line 4: / Line 4: @@
 | Comma = yes
 }}
-'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.8 [[cent]]s. It is such a significant comma in the 13-limit being the difference between eight pairs of superparticular ratios:
+'''2080/2079''', the '''ibnsinma''', is a [[13-limit]] [[unnoticeable comma]] measuring about 0.83 [[cent]]s. It is the amount by which a stack consisting of [[11/10]] and [[14/13]] falls short of Pythagorean minor third, [[32/27]].
+== Commatic relations ==
+This comma identifies itself as the difference difference between eight pairs of superparticular ratios:
 * [[64/63]] and [[66/65]]
 * [[78/77]] and [[81/80]]
@@ Line 29: / Line 32: @@
 == Temperaments ==
-By tempering it out is defined the '''ibnsinmic temperament''', which enables the '''ibnsinmic chords''', the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.
+By tempering it out is defined the '''ibnsinmic temperament''', which enables the [[ibnsinmic chords]], the essentially tempered chords in the 21-odd-limit. Another consequence is that it makes [[fifth complement]]s of [[13/11]] and [[80/63]], and of [[40/33]] and [[26/21]]. You may find a list of good equal temperaments that support this temperament below.
 [[Subgroup]]: 2.3.5.7.11.13