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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]], with [[1edo]] being the easiest and simplest to grasp. | 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]], with [[1edo]] being the easiest and simplest to grasp. | ||
Due to [[Octave #Octave equivalence|octave equivalence]] | Due to [[Octave #Octave equivalence|octave equivalence]], 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, should you add other primes to the mix. | ||
== See also == | == See also == | ||
Revision as of 22:46, 1 December 2022
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, with 1edo being the easiest and simplest to grasp.
Due to octave equivalence, 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, should you add other primes to the mix.