EDO: Difference between revisions

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EDOs can be further subdivided and classified according to the size of the fifth, such as with [[Margo Schulter]]'s [[gentle region]] or the distinction between negative, positive, doubly negative and doubly positive of [[R. H. M. Bosanquet]]. [[Kite Giedraitis]] has proposed these six categories, based on the size of the fifth. From narrowest to widest:
EDOs can be further subdivided and classified according to the size of the fifth, such as with [[Margo Schulter]]'s [[gentle region]] or the distinction between negative, positive, doubly negative and doubly positive of [[R. H. M. Bosanquet]]. [[Kite Giedraitis]] has proposed these six categories, based on the size of the fifth. From narrowest to widest:


* '''Superflat''' EDOs ({{EDOs| 9, 11, 13b, 16, 18b & 23 }}) have a fifth narrower than four-sevenths of an octave ({{nowrap|4\7 {{=}} 685.714{{c}}}})
* '''Superflat''' EDOs ({{EDOs| 9, 11, 13b, 16, 18b, & 23 }}) have a fifth narrower than four-sevenths of an octave ({{nowrap|4\7 {{=}} 685.714{{c}}}})
* '''Perfect''' EDOs ({{EDOs| 7, 14, 21, 28 & 35 }}) have a fifth equal to {{nowrap|4\7 {{=}} 685.714{{c}}}}
* '''Perfect''' EDOs ({{EDOs| 7, 14, 21, 28, & 35 }}) have a fifth equal to {{nowrap|4\7 {{=}} 685.714{{c}}}}
* '''Diatonic''' EDOs ({{EDOs| 12, 17, 19, 22, 24, etc. }}) have a fifth between 685.714{{c}} and 720{{c}}
* '''Diatonic''' EDOs ({{EDOs| 12, 17, 19, 22, 24, etc. }}) have a fifth between 685.714{{c}} and 720{{c}}
* '''Pentatonic''' EDOs ({{EDOs| 5, 10, 15, 20, 25 & 30 }}) have a fifth of three-fifths of an octave ({{nowrap|3\5 {{=}} 720{{c}}}}
* '''Pentatonic''' EDOs ({{EDOs| 5, 10, 15, 20, 25, & 30 }}) have a fifth of three-fifths of an octave ({{nowrap|3\5 {{=}} 720{{c}}}}
* '''Supersharp''' EDOs ({{EDOs| 8, 13 & 18 }}) have a fifth wider than 720{{c}}
* '''Supersharp''' EDOs ({{EDOs| 8, 13, & 18 }}) have a fifth wider than 720{{c}}
* '''Trivial''' EDOs ({{EDOs| 1, 2, 3, 4 and 6 }}) have a fifth about 100{{c}} from just, and are contained in 12edo
* '''Trivial''' EDOs ({{EDOs| 1, 2, 3, 4 and 6 }}) have a fifth about 100{{c}} from just, and are contained in 12edo


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