325/324: Difference between revisions

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| Comma = yes

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The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between ~~[[16/13]] and a stack of two [[10/9]]'s, or between [[13/9]] and a stack of two [[6/5]]'s. It can also be expressed as ([[25/24]])/([[27/26]]) and ([[100/99]])/([[144/143]]), among other expressions.~~

The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between:

Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]])~~, and~~ ([[351/350]])([[4375/4374]])~~. In the 17-limit it additionally factors into~~ ([[595/594]])([[715/714]]).

* [[16/13]] and two [[10/9]]'s

* [[13/8]] and [[81/50]] ([[8/5]] * [[81/80]])

* [[13/9]] and two [[6/5]]'s

* [[1053/1024]] and two [[81/80]]'s

* [[25/24]] and [[27/26]]

* [[100/99]] and [[144/143]]

Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are:

* ([[385/384]])([[2080/2079]])

* ([[364/363]])([[3025/3024]])

* ([[352/351]])([[4225/4224]])

* ([[351/350]])([[4375/4374]])

* ([[595/594]])([[715/714]]) In the 17-limit.

== Temperaments ==

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 | Comma = yes
 }}
-The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between [[16/13]] and a stack of two [[10/9]]'s, or between [[13/9]] and a stack of two [[6/5]]'s. It can also be expressed as ([[25/24]])/([[27/26]]) and ([[100/99]])/([[144/143]]), among other expressions.
+The '''marveltwin comma''', '''325/324''', is a [[13-limit]] (also 2.3.5.13 [[subgroup]]) [[comma]] measuring about 5.3{{cent}}. Its significance is in that it marks the difference between:
-Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are ([[385/384]])([[2080/2079]]), ([[364/363]])([[3025/3024]]), ([[352/351]])([[4225/4224]]), and ([[351/350]])([[4375/4374]]). In the 17-limit it additionally factors into ([[595/594]])([[715/714]]).
+* [[16/13]] and two [[10/9]]'s
+* [[13/8]] and [[81/50]] ([[8/5]] * [[81/80]])
+* [[13/9]] and two [[6/5]]'s
+* [[1053/1024]] and two [[81/80]]'s
+* [[25/24]] and [[27/26]]
+* [[100/99]] and [[144/143]]
+Being a [[triangle-particular|triangle superparticular]], it factors neatly into ([[625/624]])([[676/675]]). Other factorizations are:
+* ([[385/384]])([[2080/2079]])
+* ([[364/363]])([[3025/3024]])
+* ([[352/351]])([[4225/4224]])
+* ([[351/350]])([[4375/4374]])
+* ([[595/594]])([[715/714]]) In the 17-limit.
 == Temperaments ==