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, 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,<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. | ||
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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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
== References == | |||
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[[Category:2-limit| ]] <!-- main article --> | [[Category:2-limit| ]] <!-- main article --> | ||
[[Category:Prime limit]] | [[Category:Prime limit]] | ||