Comma: Difference between revisions

Line 5:

| 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.

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 ==

Line 14:

Line 19:

; [[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.

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

== Categorization by properties ==

@@ Line 5: / Line 5: @@
 | 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.
+{{Wikipedia|Comma (music)}}
+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 ==
@@ Line 14: / Line 19: @@
 ; [[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.
+; [[Large comma]]: over over 100 cents in size. The 100-cent limit matches the [[12edo]] semitone.
 == Categorization by properties ==