1edo: Difference between revisions
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'''1 equal divisions of the octave''' (abbreviated '''1edo'''), | '''1 equal divisions of the octave''' (abbreviated '''1edo'''), '''1-tone equal temperament''' ('''1tet'''), or '''1 equal temperament''' ('''1et'''), when viewed under a [[regular temperament]] perspective, is the [[tuning system]] that contains a single pitch and pitches any whole number of [[octave]]s above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the octave. | ||
== Theory == | == Theory == | ||
One note repeated in octaves is an example of a [[trivial temperament]]; most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves. | One note repeated in octaves is an example of a [[trivial temperament]] (specifically, it is the trivial temperament of the [[2-limit]]); most existing styles of music would find little use for a single set of octaves. That said, it does retain some musical value, particularly as 1edo is contained as a subset of every [[edo]]. In terms of [[JI]] representation, all [[prime harmonic]]s but 2 are tempered to some amount of octaves. | ||
The first piece of ''Musica ricercata'' by {{w|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern. | The first piece of ''Musica ricercata'' by {{w|György Ligeti}} simulates 1edo by playing only one pitch class (A) throughout different octaves on the piano, though the piano is not itself tuned to 1edo. The last chord of the piece uses another pitch class (D), breaking the pattern. | ||
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=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|1 | {{Harmonics in equal|1}} | ||
== Music == | == Music == | ||
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; [[Frédéric Gagné]] | ; [[Frédéric Gagné]] | ||
* ''Play "Do"'' (2021) – [[:File:0010 - Play Do.mp3|play]] | [https://musescore.com/fredg999/play-do score] | * ''Play "Do"'' (2021) – [[:File:0010 - Play Do.mp3|play]] | [https://musescore.com/fredg999/play-do score] | ||
; [[User:Wendy_gunk|Wendy Gunk]] | |||
* [https://www.youtube.com/watch?v=YpNh8CNS4tc ''1edo howard''] (2025) | |||
{{Wikipedia|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}} | {{Wikipedia|Musica ricercata #I. Sostenuto – Misurato – Prestissimo}} | ||
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; [[STC_1001]] | ; [[STC_1001]] | ||
* "Neainaz Antithetica, Theme", from [https://soundcloud.com/sexytoadsandfrogsfriendcircle/sets/staffcirc-vol-7-terra-octava ''STAFFcirc vol. 7''] (2021) – [https://soundcloud.com/sexytoadsandfrogsfriendcircle/1-stc-s1001-neainaz SoundCloud] | [https://sexytoadsandfrogsfriendcircle.bandcamp.com/track/1-neainaz-antithetica-theme Bandcamp] | * "Neainaz Antithetica, Theme", from [https://soundcloud.com/sexytoadsandfrogsfriendcircle/sets/staffcirc-vol-7-terra-octava ''STAFFcirc vol. 7''] (2021) – [https://soundcloud.com/sexytoadsandfrogsfriendcircle/1-stc-s1001-neainaz SoundCloud] | [https://sexytoadsandfrogsfriendcircle.bandcamp.com/track/1-neainaz-antithetica-theme Bandcamp] | ||
; [[Chris Vaisvil]] | |||
* [https://www.youtube.com/watch?v=EAutHhRv3Gg ''0-EDO for Orchestra''] (2021) (despite the title, actually in 1edo) | |||
== See also == | == See also == | ||
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* [[Octave]] | * [[Octave]] | ||
[[Category:Trivial temperaments]] | |||
[[Category:2-limit]] | [[Category:2-limit]] | ||
[[Category:1-odd-limit]] | [[Category:1-odd-limit]] | ||
[[Category:Just intonation scales]] | [[Category:Just intonation scales]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||