1edo: Difference between revisions

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'''1 equal divisions of the octave''' (abbreviated '''1edo'''), or '''1-tone equal temperament (1tet), 1 equal temperament (1et)''' when viewed under a regular temperament perspective, is the tuning system that contains a single pitch and pitches ~~octaves~~ above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the ~~'''~~octave~~'''~~.

'''1 equal divisions of the octave''' (abbreviated '''1edo'''), or '''1-tone equal temperament''' ('''1tet'''), '''1 equal temperament''' ('''1et)''' when viewed under a [[regular temperament]] perspective, is the [[tuning system]] that contains a single pitch and pitches [[octave]]s above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the octave.

== 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.

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-'''1 equal divisions of the octave''' (abbreviated '''1edo'''), or '''1-tone equal temperament (1tet), 1 equal temperament (1et)''' when viewed under a regular temperament perspective, is the tuning system that contains a single pitch and pitches octaves above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the '''octave'''.
+'''1 equal divisions of the octave''' (abbreviated '''1edo'''), or '''1-tone equal temperament''' ('''1tet'''), '''1 equal temperament''' ('''1et)''' when viewed under a [[regular temperament]] perspective, is the [[tuning system]] that contains a single pitch and pitches [[octave]]s above and below that pitch. Each step of 1edo represents a frequency ratio of [[2/1]], or exactly the octave.
 == 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.