225/224: Difference between revisions

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{{interwiki

| de = 225/224

| en = 225/224

| es =

| ja =

}}

{{Infobox Interval

| Name = marvel comma, septimal kleisma

| Color name = ryy-2, ruyoyo negative 2nd,<br> ~~Ruyoyo comma~~

| Color name = ryy-2, ruyoyo negative 2nd,<br>ryyM, ruyoyoma

| Comma = yes

}}

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As a comma with a single power of 7 in it, it is tremendously useful in terms of bringing prime 7 into the framework of [[5-limit]] [[just intonation|JI]]; tempering it out maps [[7/4]] to the classic augmented sixth, [[225/128]] and enables all of the aforementioned equivalences.

In terms of commas, it is the difference between [[81/80]] and [[126/125]] ~~and~~ is tempered out alongside these two commas in [[septimal meantone]]. In the 11-limit it factors neatly into ([[385/384]])([[540/539]]), and in the 13-limit, ([[351/350]])([[625/624]]) or ([[325/324]])([[729/728]]).

In terms of commas, it is the difference between [[81/80]] and [[126/125]], is tempered out alongside these two commas in [[septimal meantone]]; and the product of two [[Schisma|schismas]] and one [[garischisma]], equivalently of a [[schisma]] and an [[aberschisma]]. In the 11-limit it factors neatly into ([[385/384]])([[540/539]]), and in the 13-limit, ([[351/350]])([[625/624]]) or ([[325/324]])([[729/728]]).

== Temperaments ==

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+{{interwiki
+| de = 225/224
+| en = 225/224
+| es =
+| ja =
+}}
 {{Infobox Interval
 | Name = marvel comma, septimal kleisma
-| Color name = ryy-2, ruyoyo negative 2nd,<br> Ruyoyo comma
+| Color name = ryy-2, ruyoyo negative 2nd,<br>ryyM, ruyoyoma
 | Comma = yes
 }}
@@ Line 10: / Line 16: @@
 As a comma with a single power of 7 in it, it is tremendously useful in terms of bringing prime 7 into the framework of [[5-limit]] [[just intonation|JI]]; tempering it out maps [[7/4]] to the classic augmented sixth, [[225/128]] and enables all of the aforementioned equivalences.
-In terms of commas, it is the difference between [[81/80]] and [[126/125]] and is tempered out alongside these two commas in [[septimal meantone]]. In the 11-limit it factors neatly into ([[385/384]])([[540/539]]), and in the 13-limit, ([[351/350]])([[625/624]]) or ([[325/324]])([[729/728]]).
+In terms of commas, it is the difference between [[81/80]] and [[126/125]], is tempered out alongside these two commas in [[septimal meantone]]; and the product of two [[Schisma|schismas]] and one [[garischisma]], equivalently of a [[schisma]] and an [[aberschisma]]. In the 11-limit it factors neatly into ([[385/384]])([[540/539]]), and in the 13-limit, ([[351/350]])([[625/624]]) or ([[325/324]])([[729/728]]).
 == Temperaments ==