Comma: Difference between revisions

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~~#REDIRECT~~ [[Small comma]]

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A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1/1 (0 [[cent]]s) and not a power such as a square or cube of any other interval, and generally in a low [[prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is ''[[tempered out]]'', which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between [[10/9]] and [[9/8]], as well as [[81/64]] and [[5/4]], is tempered out by [[meantone]] temperament. Commas are usually written as [[ratio]]s, but they can also be written as [[monzo]]s. The following lists mostly give both forms, as well as the size in [[cent]]s. The [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out, except for 3-limit commas, which create [[edo]]s.

== Categorization by size ==

Commas can theoretically have any size, beginning with the smallest ones we categorize them as follows.

; [[Unnoticeable comma]]: under 3.5 cents in size. The 3.5-cent limit correlates to the limit of pitch perception (see also [[JND]]).

; [[Small comma]]: between 3.5 and 30 cents. Intervals below the 30-cent limit are often considered melodically irrelevant.

; [[Medium comma]]: between 30 and 100 cents.

; [[Large comma]]: over over 100 cents in size. The 100-cent limit matches the 12-EDO semitone.

[[Category:Comma| ]]

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-#REDIRECT [[Small comma]]
+{{interwiki
+| de = Komma
+| en = Comma
+| es =
+| ja =
+}}
+A '''comma''' is a small interval that occurs in [[just intonation]], between two intervals which are close in pitch. Commas are always greater than 1/1 (0 [[cent]]s) and not a power such as a square or cube of any other interval, and generally in a low [[prime limit]]. The word is often used in reference to [[Regular Temperaments|regular tempering]] when the comma is ''[[tempered out]]'', which is to say reduced to a unison, by the temperament, thereby equating the intervals separated by that comma. For example the Syntonic or Didymus comma of 81/80, which occurs between [[10/9]] and [[9/8]], as well as [[81/64]] and [[5/4]], is tempered out by [[meantone]] temperament. Commas are usually written as [[ratio]]s, but they can also be written as [[monzo]]s. The following lists mostly give both forms, as well as the size in [[cent]]s. The [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out, except for 3-limit commas, which create [[edo]]s.
+== Categorization by size ==
+Commas can theoretically have any size, beginning with the smallest ones we categorize them as follows.
+; [[Unnoticeable comma]]: under 3.5 cents in size. The 3.5-cent limit correlates to the limit of pitch perception (see also [[JND]]).
+; [[Small comma]]: between 3.5 and 30 cents. Intervals below the 30-cent limit are often considered melodically irrelevant.
+; [[Medium comma]]: between 30 and 100 cents.
+; [[Large comma]]: over over 100 cents in size. The 100-cent limit matches the 12-EDO semitone.
+[[Category:Comma| ]] <!-- main article -->