EDO: Difference between revisions

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An '''equal division of the octave''' ('''EDO''' or '''edo''') is a [[Tuning system|tuning]] obtained by dividing the [[octave]] in a certain number of [[Equal-step tuning|equal steps]]. This means that the [[interval]] between any two consecutive pitches is identical.

A tuning with ~~<math>~~n~~</math>~~ equal divisions of the octave is usually called "~~<math>~~n~~</math>~~edo" ("~~<math>~~n~~</math>~~-EDO"). For instance, the predominant tuning system in the world today is [[12edo]] (12-EDO).

A tuning with ''n'' equal divisions of the octave is usually called "''n''-edo" ("''n''-EDO"). For instance, the predominant tuning system in the world today is [[12edo]] (12-EDO).

An edo is a specific case of [[EPD|equal pitch division]], which is a kind of [[equal-step tuning]]. Therefore, it is also a kind of [[Arithmetic tunings|arithmetic]] and [[Harmonotonic tunings|harmonotonic]] tuning.

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With the development of [[Edonoi|equal divisions of non-octave intervals (edonoi)]], some people started writing "ed2" ("ED2"), especially when naming a specific tuning. Furthermore, in order to distinguish equal pitch division from [[EFD|equal frequency division]] and [[ELD|equal length division]], "epd" ("EPD") is sometimes used in place of "ed" ("ED").

Several alternate notations have been devised, including "edd" ("EDD"; equal ~~divisions~~ of the [[ditave]]), "DIV," and "EQ."

Several alternate notations have been devised, including "edd" ("EDD"; equal division of the [[octave|ditave]]), "DIV," and "EQ"[citation needed].

== Formula ==

@@ Line 8: / Line 8: @@
 An '''equal division of the octave''' ('''EDO''' or '''edo''') is a [[Tuning system|tuning]] obtained by dividing the [[octave]] in a certain number of [[Equal-step tuning|equal steps]]. This means that the [[interval]] between any two consecutive pitches is identical.
-A tuning with <span><math>n</math></span> equal divisions of the octave is usually called "<span><math>n</math></span>edo" ("<span><math>n</math></span>-EDO"). For instance, the predominant tuning system in the world today is [[12edo]] (12-EDO).
+A tuning with ''n'' equal divisions of the octave is usually called "''n''-edo" ("''n''-EDO"). For instance, the predominant tuning system in the world today is [[12edo]] (12-EDO).
 An edo is a specific case of [[EPD|equal pitch division]], which is a kind of [[equal-step tuning]]. Therefore, it is also a kind of [[Arithmetic tunings|arithmetic]] and [[Harmonotonic tunings|harmonotonic]] tuning.
@@ Line 20: / Line 20: @@
 With the development of [[Edonoi|equal divisions of non-octave intervals (edonoi)]], some people started writing "ed2" ("ED2"), especially when naming a specific tuning. Furthermore, in order to distinguish equal pitch division from [[EFD|equal frequency division]] and [[ELD|equal length division]], "epd" ("EPD") is sometimes used in place of "ed" ("ED").
-Several alternate notations have been devised, including "edd" ("EDD"; equal divisions of the [[ditave]]), "DIV," and "EQ."
+Several alternate notations have been devised, including "edd" ("EDD"; equal division of the [[octave|ditave]]), "DIV," and "EQ"<sup>[citation needed]</sup>.
 == Formula ==