2-limit: Difference between revisions

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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,<ref>http://www.tonalsoft.com/enc/l/limit.aspx#MainContent</ref> octaves and stacks of octaves. The 2-limit is fundamental to any sort of [[EDO]], with [[1edo]] being the easiest and simplest to grasp.
The '''2-limit''' consists of [[interval]]s that are 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,<ref>[http://www.tonalsoft.com/enc/l/limit.aspx#MainContent Tonalsoft Encylopedia | ''limit'']</ref> 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 the human ability to perceive notes an octave apart as having the same pitch class, 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.
Due to the human ability to perceive notes an octave apart as having the same pitch class, 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.
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== References ==
== References ==
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