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]]. In the broader sense, any equal tuning that is not an integer [[~~edo~~]] is an ~~edonoi~~.

An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing a [[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~~]]. For a more extensive list see [[Equal-step tuning#Equal divisions~~]].

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]].

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.

For a more extensive list of EDONOI see [[Equal-step tuning#Equal divisions]].

Some EDONOI contain an interval close to [[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]], which might 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]]. In the broader sense, any equal tuning that is not an integer [[edo]] is an edonoi.
+An '''equal division of a non-octave interval''' ('''EDONOI''') is a [[tuning]] obtained by dividing a [[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]]. For a more extensive list see [[Equal-step tuning#Equal divisions]].
+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]].
-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.
+For a more extensive list of EDONOI see [[Equal-step tuning#Equal divisions]].
+Some EDONOI contain an interval close to [[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]], which might require special attention.
 == External links ==