225/224: Difference between revisions

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{{Infobox Interval

| Name = septimal kleisma~~, marvel comma~~

| Name = marvel comma, septimal kleisma

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

| Comma = yes

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The interval of '''225/224''', the '''~~septimal kleisma~~''' or '''~~marvel comma~~''' is a [[7-limit]] [[superparticular]] ~~ratio~~. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]).

The interval of '''225/224''', the '''marvel comma''', otherwise known as the '''septimal kleisma''', is a [[7-limit]] [[superparticular]] [[comma]]. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]).

Another useful relation is as the difference between the [[25/24]], the classical chromatic semitone, and [[28/27]], the septimal third-tone. Hence, it is also the difference between [[32/25]] and [[9/7]], and between [[75/64]] and [[7/6]].

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== Temperaments ==

Tempering out this comma alone in the 7-limit leads to the [[marvel]] temperament, which enables [[marvel chords]]. See [[~~marvel~~ family]] for the family of rank-3 temperaments where it is tempered out. See [[~~marvel~~ temperaments]] for a collection of rank-2 temperaments where it is tempered out.

Tempering out this comma alone in the 7-limit leads to the [[marvel]] temperament, which enables [[marvel chords]]. See [[Marvel family]] for the family of rank-3 temperaments where it is tempered out. See [[Marvel temperaments]] for a collection of rank-2 temperaments where it is tempered out.

== Approximation ==

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = septimal kleisma, marvel comma
+| Name = marvel comma, septimal kleisma
 | Color name = ryy-2, ruyoyo negative 2nd,<br> Ruyoyo comma
 | Comma = yes
@@ Line 6: / Line 6: @@
 {{Wikipedia|Septimal kleisma}}
-The interval of '''225/224''', the '''septimal kleisma''' or '''marvel comma''' is a [[7-limit]] [[superparticular]] ratio. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]).
+The interval of '''225/224''', the '''marvel comma''', otherwise known as the '''septimal kleisma''', is a [[7-limit]] [[superparticular]] [[comma]]. It pops up as the difference between pairs of 7-limit ratios, for example as ([[15/14]])/([[16/15]]) or ([[45/32]])/([[7/5]]).
 Another useful relation is as the difference between the [[25/24]], the classical chromatic semitone, and [[28/27]], the septimal third-tone. Hence, it is also the difference between [[32/25]] and [[9/7]], and between [[75/64]] and [[7/6]].
@@ Line 13: / Line 13: @@
 == Temperaments ==
-Tempering out this comma alone in the 7-limit leads to the [[marvel]] temperament, which enables [[marvel chords]]. See [[marvel family]] for the family of rank-3 temperaments where it is tempered out. See [[marvel temperaments]] for a collection of rank-2 temperaments where it is tempered out.
+Tempering out this comma alone in the 7-limit leads to the [[marvel]] temperament, which enables [[marvel chords]]. See [[Marvel family]] for the family of rank-3 temperaments where it is tempered out. See [[Marvel temperaments]] for a collection of rank-2 temperaments where it is tempered out.
 == Approximation ==