Ennealimma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = | | Ratio = 7 629 394 531 250 / 7 625 597 484 987 | ||
| 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 | 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 == | ||
* [[Septimal ennealimma]] | * [[Septimal ennealimma]] | ||
== | == References == | ||
[[Category:Ennealimmal]] | [[Category:Ennealimmal]] | ||
[[Category:Commas named for their periods per equave]] | [[Category:Commas named for their periods per equave]] | ||