Symbiotic comma: Difference between revisions

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{{Infobox Interval

| Ratio = 19712/19683

| Name = symbiotic comma, symbiosis ~~comma~~, symbiosma

| Name = symbiotic comma, symbiosis, symbiosma

| Color name = s1oz2, Salozo comma

| Comma = yes

}}

'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis ~~comma~~''' or '''symbiosma''', is an [[11-limit]] [[~~unnoticeable~~ comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[~~Canou~~ family|canou]]. It is the difference between an [[2187/2048|apotome (2187/2048)]] and an [[77/72|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] ~~quartertone~~ stacked on top of [[28/27]]. ~~Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]].~~ It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].

'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[canou family|canou]]. It is the difference between an [[2187/2048|apotome (2187/2048)]] and an [[77/72|undecimal secor (77/72)]] – the latter of which can be broken down into a quartertone of [[33/32]] stacked on top of a third-tone of [[28/27]].

It factors into ([[4375/4374]])⋅([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]]. In the [[19-limit]], it factors neatly into ([[1216/1215]])⋅([[1540/1539]]).

== Temperaments ==

Tempering out this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]).

[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]). This temperament identifies [[11/8]] by an apotome over [[9/7]], [[11/6]] by an apotome over [[12/7]], and [[11/9]] by an apotome over [[8/7]]. Finally, it identifies 11/9 by a [[256/243|limma]] below 9/7.

~~== See also ==~~

* [[~~Unnoticeable comma~~]]

[[Category:Symbiotic]]

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 19712/19683
-| Name = symbiotic comma, symbiosis comma, symbiosma
+| Name = symbiotic comma, symbiosis, symbiosma
+| Color name = s1oz2, Salozo comma
 | Comma = yes
 }}
-'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 [[cent]]s.  It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[Canou family|canou]]. It is the difference between an [[2187/2048|apotome (2187/2048)]] and an [[77/72|undecimal secor (77/72)]] – the latter of which can be broken down into a [[33/32]] quartertone stacked on top of [[28/27]]. Alternatively stated, it identifies [[11/8]] by an apotome over [[9/7]]. It factors into ([[4375/4374]])([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]].
+'''19712/19683''', the '''symbiotic comma''', also known as the '''symbiosis''' or '''symbiosma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]] measuring about 2.55 [[cent]]s. It gets its names from the fact that it is tempered out in such notable temperaments as [[vishnu]], [[newt]], [[kwai]], [[supers]], [[guiron]] and [[amity]], and, from the fact that it also makes a good extension to a number of other temperaments such as [[canou family|canou]]. It is the difference between an [[2187/2048|apotome (2187/2048)]] and an [[77/72|undecimal secor (77/72)]] – the latter of which can be broken down into a quartertone of [[33/32]] stacked on top of a third-tone of [[28/27]].
+It factors into ([[4375/4374]])⋅([[5632/5625]]), and moreover, into the [[quartisma]] and the [[nexus comma]]. In the [[19-limit]], it factors neatly into ([[1216/1215]])⋅([[1540/1539]]).
 == Temperaments ==
-Tempering out this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]).
+[[Tempering out]] this comma in the 11-limit results in the rank-4 '''symbiotic temperament''' (→ [[Rank-4 temperament #Symbiotic (19712/19683)]]). This temperament identifies [[11/8]] by an apotome over [[9/7]], [[11/6]] by an apotome over [[12/7]], and [[11/9]] by an apotome over [[8/7]]. Finally, it identifies 11/9 by a [[256/243|limma]] below 9/7.
-== See also ==
-* [[Unnoticeable comma]]
 [[Category:Symbiotic]]
+[[Category:Commas named for their regular temperament properties]]