EDO: Difference between revisions

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An '''equal division of the octave''' ('''EDO''' or '''edo''', /ido/) is a tuning system constructed by dividing the octave into a number of equal steps.
An '''equal division of the octave''' ('''EDO''' or '''edo''', /ˈidoʊ/ ''EE-doh'') is a tuning system constructed by dividing the octave into a number of equal steps.


The dominant modern tuning system may be called 12edo (12-EDO) because it divides the octave into 12 semitones that are all the same size. It may also be called 12-tone equal temperament or 12-TET, but this is discouraged because it does not specify which interval is being equally divided.
The dominant modern tuning system may be called 12edo (12-EDO) because it divides the octave into 12 semitones that are all the same size. It may also be called 12-tone equal temperament or 12-TET, but this is discouraged because it does not specify which interval is being equally divided.

Revision as of 04:41, 2 December 2025

An equal division of the octave (EDO or edo, /ˈidoʊ/ EE-doh) is a tuning system constructed by dividing the octave into a number of equal steps.

The dominant modern tuning system may be called 12edo (12-EDO) because it divides the octave into 12 semitones that are all the same size. It may also be called 12-tone equal temperament or 12-TET, but this is discouraged because it does not specify which interval is being equally divided.

List of Edos

Very incomplete edo table. Popular edos are highlighted.
Edo Description First twelve steps, from 0¢ Possible erac subgroup
5 The smallest edo to have strong melodic properties. Good approximation of 2.3.7 for its size. 240, 480, 720, 960, 1200
6 Subset of 12edo. Good approximation of 2.9.5.7 for its size, such as in Didacus temperament. 200, 400, 600, 800, 1000, 1200
... ... ... ...
31 The definitive Septimal Meantone tuning. 38.7, 77.4, 116.1, 154.8, 193.5, 232.3, 271.0, 309.7, 348.4, 387.1, 425.8, 464.5 2.3.5.7