1edo: Difference between revisions

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'''1 equal division of the octave''' ('''1edo''') is the [[tuning system]] that contains a single ~~note~~ and the [[octave]]s above and below that ~~note~~.

'''1 equal division of the octave''' ('''1edo''') is the [[tuning system]] that contains a single pitch and the [[octave]]s above and below that pitch.

== Theory ==

One note repeated in octaves is an example of a [[trivial temperament]], it is even a system that demonstrates trivial examples of [[telicity]]. That said, it is actually useful in some cases from a musical standpoint, particularly as a subset of larger ~~EDOs~~. However, in terms of JI representation, it is simply the [[2-limit]] with all other primes tempered to either the unison or octave.

One note repeated in octaves is an example of a [[trivial temperament]]; it is even a system that demonstrates trivial examples of [[telicity]]. That said, it is actually useful in some cases from a musical standpoint, particularly as a subset of larger edos. However, in terms of JI representation, it is simply the [[2-limit]] with all other primes tempered to either the unison or octave.

The first piece of ''Musica ricercata'' by 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.

=== ~~Prime~~ harmonics ===

1edo is equivalent to [[AFDO|1afdo]] and [[IFDO|1ifdo]].

=== Odd harmonics ===

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 }}
 {{Infobox ET}}
-'''1 equal division of the octave''' ('''1edo''') is the [[tuning system]] that contains a single note and the [[octave]]s above and below that note.
+'''1 equal division of the octave''' ('''1edo''') is the [[tuning system]] that contains a single pitch and the [[octave]]s above and below that pitch.
 == Theory ==
-One note repeated in octaves is an example of a [[trivial temperament]], it is even a system that demonstrates trivial examples of [[telicity]]. That said, it is actually useful in some cases from a musical standpoint, particularly as a subset of larger EDOs.  However, in terms of JI representation, it is simply the [[2-limit]] with all other primes tempered to either the unison or octave.
+One note repeated in octaves is an example of a [[trivial temperament]]; it is even a system that demonstrates trivial examples of [[telicity]]. That said, it is actually useful in some cases from a musical standpoint, particularly as a subset of larger edos. However, in terms of JI representation, it is simply the [[2-limit]] with all other primes tempered to either the unison or octave.
-The first piece of ''Musica ricercata'' by 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.
-=== Prime harmonics ===
+edo is equivalent to [[AFDO|1afdo]] and [[IFDO|1ifdo]].
+=== Odd harmonics ===
 {{Harmonics in equal|1}}