Equal-step tuning: Difference between revisions

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== Edonoi ==

An '''equal division of a non-octave interval''' ('''EDONOI''' or '''edonoi''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of equal steps. In a broader sense, any equal-step tuning that is not an integer [[edo]] is an edonoi.

The most often used edonoi include the equal-tempering of the [[~~BP|Bohlen—Pierce~~ scale]] (i.e. [[13edt|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta|Beta]], and [[Carlos Gamma|Gamma]], the [[19edt|19 equal divisions of 3]], the [[6edf|6 equal divisions of 3/2]], the [[2ed13/10|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive gallery, see the ~~"equal~~ divisions" section above.

The most often used edonoi include the equal-tempering of the [[Bohlen–Pierce scale]] (i.e. [[13edt|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta|Beta]], and [[Carlos Gamma|Gamma]], the [[19edt|19 equal divisions of 3]], the [[6edf|6 equal divisions of 3/2]], the [[2ed13/10|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive gallery, see the [[#Equal divisions]] section above.

Some edonoi contain an interval close to [[2/1]] that might function like a [[~~Stretched~~ and compressed tuning|stretched or squashed]] octave — those edonoi can thus be considered variations on edos.

Some edonoi contain an interval close to [[2/1]] that might function like a [[stretched and compressed tuning|stretched or squashed]] octave – those edonoi can thus be considered variations on edos.

Other edonoi contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional redundancy, that of [[octave equivalence]] — this might necessitate special attention.

Other edonoi contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional redundancy, that of [[octave equivalence]] – this might necessitate special attention.

== See also ==

@@ Line 113: / Line 113: @@
 == Edonoi ==
 An '''equal division of a non-octave interval''' ('''EDONOI''' or '''edonoi''') is a [[tuning]] obtained by dividing a [[non-octave]] [[interval]] in a certain number of equal steps. In a broader sense, any equal-step tuning that is not an integer [[edo]] is an edonoi.
-The most often used edonoi include the equal-tempering of the [[BP|Bohlen—Pierce scale]] (i.e. [[13edt|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta|Beta]], and [[Carlos Gamma|Gamma]], the [[19edt|19 equal divisions of 3]], the [[6edf|6 equal divisions of 3/2]], the [[2ed13/10|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive gallery, see the "equal divisions" section above.
+The most often used edonoi include the equal-tempering of the [[Bohlen–Pierce scale]] (i.e. [[13edt|13 equal divisions of 3]]), the [[Phoenix]] tuning, tunings of [[Carlos Alpha]], [[Carlos Beta|Beta]], and [[Carlos Gamma|Gamma]], the [[19edt|19 equal divisions of 3]], the [[6edf|6 equal divisions of 3/2]], the [[2ed13/10|2 equal divisions of 13/10]], and [[88cET]]. For a more extensive gallery, see the [[#Equal divisions]] section above.
-Some edonoi contain an interval close to [[2/1]] that might function like a [[Stretched and compressed tuning|stretched or squashed]] octave — those edonoi can thus be considered variations on edos.
+Some edonoi contain an interval close to [[2/1]] that might function like a [[stretched and compressed tuning|stretched or squashed]] octave – those edonoi can thus be considered variations on edos.
-Other edonoi contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional redundancy, that of [[octave equivalence]] — this might necessitate special attention.
+Other edonoi contain no approximation of an octave or a compound octave (at least, not for a while), and continue generating new tones as they continue upward or downward. Such scales lack a very familiar compositional redundancy, that of [[octave equivalence]] – this might necessitate special attention.
 == See also ==