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== History ==
== History ==
For a long time, theorists used the term "equal temperaments" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 [[Regular temperament|temperaments]]. For example, [[15edo]] can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.).
For a long time, theorists used the term "equal temperament" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 [[Regular temperament|temperaments]]. For example, [[15edo]] can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.).


The acronym "EDO" (''EE-dee-oh'') was coined by [[Daniel Anthony Stearns]]<sup>[''year needed'']</sup>. Since then, the [https://en.wikipedia.org/w/index.php?title=Anacronym anacronym] "edo" (''EE-doh''), spelled in lowercase, has become increasingly widespread.
The acronym "EDO" (''EE-dee-oh'') was coined by [[Daniel Anthony Stearns]]<sup>[''year needed'']</sup>. Since then, the [https://en.wikipedia.org/w/index.php?title=Anacronym anacronym] "edo" (''EE-doh''), spelled in lowercase, has become increasingly widespread.

Revision as of 01:16, 4 July 2021

Edo

An equal division of the octave (edo or EDO) is a tuning system constructed by dividing the octave in a certain number of equal steps.

A tuning with n equal divisions of the octave is usually called "nedo" or "n-EDO." For instance, the predominant tuning system in the world today is 12edo or 12-EDO.

An edo being an equal-step tuning, it is also an arithmetic and a harmonotonic tuning.

History

For a long time, theorists used the term "equal temperament" for edos designed to approximate low-complexity just intervals. The same term is still used today to designate more generally all rank-1 temperaments. For example, 15edo can be referred to as 15-tone equal temperament (15-TET, 15-tET, 15tet, etc.), or more simply 15 equal temperament (15-ET, 15et, etc.).

The acronym "EDO" (EE-dee-oh) was coined by Daniel Anthony Stearns[year needed]. Since then, the anacronym "edo" (EE-doh), spelled in lowercase, has become increasingly widespread.

With the development of equal divisions of non-octave intervals (edonoi), some musicians started using "ed2" or "ED2" in place of "edo" or "EDO," especially when naming a specific tuning.

A few more alternate notations have been devised by some musicians more recently, including "edd" or "EDD" (equal divisions of the Ditave), "DIV," and "EQ."