Symbiotic comma: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 19712/19683

~~| Monzo = 8 -9 0 1 1~~

| Name = symbiotic comma, symbiosis, symbiosma

~~| Cents = 2.54884~~

| Color name = s1oz2, Salozo comma

| Name = ~~symbiosis~~ comma, ~~<br> symbiotic comma~~, ~~<br>~~ symbiosma

| Comma = yes

| Color name =

| ~~FJS name =~~

~~| Sound~~ =

}}

'''19712/19683''', the '''~~symbiosis~~ comma''', also known as the '''~~symbiotic comma~~''' or '''symbiosma''', is an [[11-limit]] [[~~unnoticeable~~ comma]] measuring about 2.55 ~~cents~~. It gets its names from the fact that it is tempered out in such notable temperaments as [[~~Vishnuzmic family #Vishnu|~~vishnu]], [[~~Breedsmic temperaments #Newt|~~newt]], [[~~Mirkwai clan #Kwai|~~kwai]], [[~~Hemifamity temperaments #Supers|~~supers]], [[~~Schismatic family #Guiron|~~guiron]] and [[~~Amity family|~~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]]. Moreover, it is the sum of the [[quartisma]] and the [[nexisma]]. Tempering out this comma in a linearly independent fashion results in '''symbiotic temperament'''.

'''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]].

== ~~See also~~ ==

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]]).

* [[~~Unnoticeable~~ comma]]

== Temperaments ==

[[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.

~~[[Category:11-limit]]~~

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

[[Category:Symbiotic]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 19712/19683
-| Monzo = 8 -9 0 1 1
+| Name = symbiotic comma, symbiosis, symbiosma
-| Cents = 2.54884
+| Color name = s1oz2, Salozo comma
-| Name = symbiosis comma, <br> symbiotic comma, <br> symbiosma
+| Comma = yes
-| Color name =
-| FJS name =
-| Sound =
 }}
-'''19712/19683''', the '''symbiosis comma''', also known as the '''symbiotic comma''' or '''symbiosma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 2.55 cents.  It gets its names from the fact that it is tempered out in such notable temperaments as [[Vishnuzmic family #Vishnu|vishnu]], [[Breedsmic temperaments #Newt|newt]], [[Mirkwai clan #Kwai|kwai]], [[Hemifamity temperaments #Supers|supers]], [[Schismatic family #Guiron|guiron]] and [[Amity family|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]].  Moreover, it is the sum of the [[quartisma]] and the [[nexisma]]. Tempering out this comma in a linearly independent fashion results in '''symbiotic temperament'''.
+'''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]].
-== See also ==
+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]]).
-* [[Unnoticeable comma]]
+== Temperaments ==
+[[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.
-[[Category:11-limit]]
-[[Category:Unnoticeable commas]]
 [[Category:Symbiotic]]
+[[Category:Commas named for their regular temperament properties]]