Edonoi: Difference between revisions

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An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning|equal steps]].

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

Examples include the equal-tempered [[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]].

Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on ~~[[edo]]s~~.

Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They 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, and thus require 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, and thus require special attention.

== External links ==

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-An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning|equal steps]].
+An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing an [[non-octave]] [[interval]] in a certain number of [[equal-step tuning|equal steps]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.
 Examples include the equal-tempered [[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]].
-Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They can thus be considered variations on [[edo]]s.
+Some EDONOI contain an interval close to a 2/1 that might function like a stretched or squashed octave. They 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, and thus require 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, and thus require special attention.
 == External links ==