405/392: Difference between revisions

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{{Infobox Interval

|Ratio = 405/392

| Ratio = 405/392

|Name = greenwoodma

| Name = greenwoodma

|Color name = rry-2, ruruyo negative 2nd

| Color name = rry-2, ruruyo negative 2nd

|Comma = yes

| Comma = yes

}}

'''405/392''', the '''greenwoodma''', is a [[7-limit]] [[~~medium~~ comma]]. Tempering it out, this leads to the [[greenwoodmic temperaments]].

'''405/392''', the '''greenwoodma''', is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the difference between [[8/5]] and a stack of two [[9/7]]'s. In terms of commas, it is the sum of the [[81/80|syntonic comma (81/80)]] and the [[50/49|jubilisma (50/49)]].

In the 11-limit, it factors into simpler commas as ([[45/44]])⋅([[99/98]]).

== Temperaments ==

[[Tempering out]] this comma leads to the rank-3 [[greenwoodmic]] temperament. This temperament splits a [[~]][[5/2]] in two, each representing ~[[14/9]]. See [[Greenwoodmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

== Notation ==

=== Sagittal notation ===

In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | )\!/ }} and is called the '''49/5 medium diesis''', or '''49/5M''' for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E{{nbhsp}}{{sagittal | )\!/ }}. The upward version is called '''5/49M''' or '''49/5M up''' and is represented by {{sagittal| )/|\ }}.

[[Category:Greenwoodmic]]

[[Category:Commas with unknown etymology]]

~~{{Stub}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-|Ratio = 405/392
+| Ratio = 405/392
-|Name = greenwoodma
+| Name = greenwoodma
-|Color name = rry-2, ruruyo negative 2nd
+| Color name = rry-2, ruruyo negative 2nd
-|Comma = yes
+| Comma = yes
 }}
-'''405/392''', the '''greenwoodma''', is a [[7-limit]] [[medium comma]]. Tempering it out, this leads to the [[greenwoodmic temperaments]].
+'''405/392''', the '''greenwoodma''', is a [[medium comma|medium]] [[7-limit]] [[comma]]. It is the difference between [[8/5]] and a stack of two [[9/7]]'s. In terms of commas, it is the sum of the [[81/80|syntonic comma (81/80)]] and the [[50/49|jubilisma (50/49)]].
+In the 11-limit, it factors into simpler commas as ([[45/44]])⋅([[99/98]]).
+== Temperaments ==
+[[Tempering out]] this comma leads to the rank-3 [[greenwoodmic]] temperament. This temperament splits a [[~]][[5/2]] in two, each representing ~[[14/9]]. See [[Greenwoodmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
+== Notation ==
+=== Sagittal notation ===
+In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | )\!/ }} and is called the '''49/5 medium diesis''', or '''49/5M''' for short, because the simplest interval it notates is 49/5 = 7×7/5 (equiv. 49/40), as for example in C-E{{nbhsp}}{{sagittal | )\!/ }}. The upward version is called '''5/49M''' or '''49/5M up''' and is represented by {{sagittal| )/|\ }}.
 [[Category:Greenwoodmic]]
+[[Category:Commas with unknown etymology]]
-{{Stub}}