Ennealimma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 7629394531250/7625597484987
| Ratio = 7 629 394 531 250 / 7 625 597 484 987
| Monzo = 1 -27 18
| Name = ennealimma
| Name = ennealimma
| Color name = sy<sup>18</sup>-3, satritribiyo negative 3rd
| Color name = sy<sup>18</sup>-3, satritribiyo negative 3rd
| Comma = yes
| Comma = yes
}}
}}
The '''ennealimma''', meaning ''nine limmas'', with [[monzo]] {{monzo| 1 -27 18 }}, is a [[5-limit]] [[unnoticeable comma]] measuring about 0.86 [[cent]]s. It is the amount by which a stack of nine [[27/25|large limmas]] falls short of the [[octave]].  
The '''ennealimma''', meaning ''nine limmas'', with [[monzo]] {{monzo| 1 -27 18 }}, is an [[unnoticeable comma|unnoticeable]] [[5-limit]] [[comma]] measuring about 0.862 [[cent]]s. It is the amount by which a stack of nine [[27/25|large limmas]] falls short of the [[octave]].  


== Temperament ==
== Temperament ==
Tempering out this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts. Since the [[7-limit]] temperament (definable by tempering out both [[2401/2400]] and [[4375/4374]], the two smallest superparticular ratios in the 7-limit) is far more natural to think of than the 5-limit, the 5-limit temperament is only provided below for bookkeeping purposes.
[[Tempering out]] this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts. Since the [[7-limit]] temperament (definable by tempering out both [[2401/2400]] and [[4375/4374]], the two smallest superparticular ratios in the 7-limit) is far more natural to think of than the 5-limit, the 5-limit temperament is only provided below for bookkeeping purposes.


=== Ennealimmal ===  
=== Ennealimmal ===  
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== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Septimal ennealimma]]
* [[Septimal ennealimma]]


== Notes ==
== References ==


[[Category:Ennealimmal]]
[[Category:Ennealimmal]]
[[Category:Commas named for their periods per equave]]
[[Category:Commas named for their periods per equave]]