User:Fredg999/Sandbox

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, tuning 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."