Ennealimma: Difference between revisions

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{{Infobox Interval

| Ratio = 7629394531250/7625597484987

| Monzo = 1 -27 18

| Name = ennealimma

| Color name = sy<sup>18</sup>-3, satritribiyo negative 3rd

| 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]].

== Temperament ==

Tempering out this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts.

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 ===

''For the 7-limit temperament, see [[Septiennealimmal clan#Ennealimmal]].''

[[Subgroup]]: 2.3.5

[[Comma list]]: 7629394531250/7625597484987

[[Optimal tuning]] ([[CTE]]): ~27/25 = 1\9, ~5/3 = 884.319

[[Support]]ing [[ET]]s: {{EDOs|612, 171, 441, 99, 270, 72, 27, 45, 711, 18bc, 9bcc, 243, 369, 126 }}

== Etymology ==

The name consists of Greek ''ennea-'' ("nine") + ''limma'', coined by [[Paul Erlich]] and [[Gene Ward Smith]] in 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_29667.html Yahoo! Tuning Group | ''Name that comma!'']</ref>.

== See also ==

* [[Unnoticeable comma]]

* [[Septimal ennealimma]]

== Notes ==

~~[[Category:5-limit]]~~

~~[[Category:Unnoticeable commas]]~~

[[Category:Ennealimmal]]

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

@@ Line 1: / Line 1: @@
+{{Infobox Interval
+| Ratio = 7629394531250/7625597484987
+| Monzo = 1 -27 18
+| Name = ennealimma
+| Color name = sy<sup>18</sup>-3, satritribiyo negative 3rd
+| 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]].
 == Temperament ==
-Tempering out this comma leads to the 5-limit version of the [[ennealimmal]] temperament, which remarkably splits the octave into nine equal parts.
+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 ===
+''For the 7-limit temperament, see [[Septiennealimmal clan#Ennealimmal]].''
+[[Subgroup]]: 2.3.5
+[[Comma list]]: 7629394531250/7625597484987
+{{Mapping|legend=1|9 1 1|0 2 3}}
+[[Optimal tuning]] ([[CTE]]): ~27/25 = 1\9, ~5/3 = 884.319
+[[Support]]ing [[ET]]s: {{EDOs|612, 171, 441, 99, 270, 72, 27, 45, 711, 18bc, 9bcc, 243, 369, 126 }}
+== Etymology ==
+The name consists of Greek ''ennea-'' ("nine") + ''limma'', coined by [[Paul Erlich]] and [[Gene Ward Smith]] in 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_29667.html Yahoo! Tuning Group | ''Name that comma!'']</ref>.
 == See also ==
 * [[Unnoticeable comma]]
+* [[Septimal ennealimma]]
+== Notes ==
-[[Category:5-limit]]
-[[Category:Unnoticeable commas]]
 [[Category:Ennealimmal]]
+[[Category:Commas named for their periods per equave]]