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]]. | 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 | 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 == | == External links == | ||
Revision as of 07:25, 10 August 2024
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 steps. In the broader sense, any equal tuning that is not an integer edo is an edonoi.
Examples include the equal-tempered Bohlen-Pierce scale (i.e. 13 equal divisions of 3), the Phoenix tuning, tunings of Carlos Alpha, Beta, and Gamma, the 19 equal divisions of 3, the 6 equal divisions of 3/2, the 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.