2-limit: Difference between revisions
Rudamentary page on the 2-limit |
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{{Prime limit navigation|2}} | {{Prime limit navigation|2}} | ||
A '''2-limit''' interval is either an integer whose only prime factor is 2, or the reciprocal of such an integer. Naturally, since [[2/1]] is the octave, this limits us to unisons, octaves and stacks of octaves. The 2-limit is fundamental to any sort of [[EDO]], and in fact, [[1edo]] is basically the 2-limit in full, only with additional | A '''2-limit''' interval is either an integer whose only prime factor is 2, or the reciprocal of such an integer. Naturally, since [[2/1]] is the octave, this limits us to unisons, octaves and stacks of octaves. The 2-limit is fundamental to any sort of [[EDO]], and in fact, [[1edo]] is basically the 2-limit in full, only with additional primes tempered to either the octave or the unison. | ||
Due to [[Octave #Octave equivalence|octave equivalence]] the 2-limit | Due to [[Octave #Octave equivalence|octave equivalence]] as driven by pitch-chroma matching, the 2-limit also collapses very easily, with this collapse being generally implemented in lattices. This collapse is helpful to understanding the pitches involved in other prime axes within the space of a single octave. | ||
== See also == | == See also == | ||