EDO: Difference between revisions

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== Practical advantages ==

=== Free modulation ===

EDOs allow for modulation to every single key in the tuning, without any alteration in harmonic properties, thus making transposition totally seamless.

This also makes them somewhat easier to learn, as you do not have to memorize the harmonic and melodic variations that appear in various keys (which you would have to learn in JI, an unequal regular temperament, or a well-temperament, especially with smaller numbers of tones).

For those accustomed to the "equality" of 12-TET, the equality of the alternative EDOs can be reassuringly familiar.

=== Fretted instruments ===

If you are a [[guitar]]ist (or a player of some other fretted string instrument, like a bass guitar, Appalachian dulcimer, [[ukulele]], banjo, mandolin, sitar, saz, pipa, or zhong ruan), an EDO will provide you with the simplest possible fretboard layout, as all of the frets will go straight across the fretboard, regardless of how you want to tune the open strings.

Fret crowding can become an issue with smaller divisions, especially high up the neck.

For these cases, [[ed4|equal divisions of the double octave]] or higher multiples offer a compromise solution.

~~=== Free modulation ===~~

~~EDOs allow for modulation to every single key in the tuning, without any alteration in harmonic properties, thus making transposition totally seamless.~~

This also makes them somewhat easier to learn, as you do not have to memorize the harmonic and melodic variations that appear in various keys (which you would have to learn in JI, an unequal regular temperament, or a well-temperament, especially with smaller numbers of tones).

~~For those accustomed to the "equality" of 12-TET, the equality of the alternative EDOs can be reassuringly familiar.~~

== Approaches to exploring EDOs ==

@@ Line 39: / Line 39: @@
 == Practical advantages ==
+=== Free modulation ===
+EDOs allow for modulation to every single key in the tuning, without any alteration in harmonic properties, thus making transposition totally seamless.
+This also makes them somewhat easier to learn, as you do not have to memorize the harmonic and melodic variations that appear in various keys (which you would have to learn in JI, an unequal regular temperament, or a well-temperament, especially with smaller numbers of tones).
+For those accustomed to the "equality" of 12-TET, the equality of the alternative EDOs can be reassuringly familiar.
 === Fretted instruments ===
 If you are a [[guitar]]ist (or a player of some other fretted string instrument, like a bass guitar, Appalachian dulcimer, [[ukulele]], banjo, mandolin, sitar, saz, pipa, or zhong ruan), an EDO will provide you with the simplest possible fretboard layout, as all of the frets will go straight across the fretboard, regardless of how you want to tune the open strings.
 Fret crowding can become an issue with smaller divisions, especially high up the neck.
 For these cases, [[ed4|equal divisions of the double octave]] or higher multiples offer a compromise solution.
-=== Free modulation ===
-EDOs allow for modulation to every single key in the tuning, without any alteration in harmonic properties, thus making transposition totally seamless.
-This also makes them somewhat easier to learn, as you do not have to memorize the harmonic and melodic variations that appear in various keys (which you would have to learn in JI, an unequal regular temperament, or a well-temperament, especially with smaller numbers of tones).
-For those accustomed to the "equality" of 12-TET, the equality of the alternative EDOs can be reassuringly familiar.
 == Approaches to exploring EDOs ==