19-limit: Difference between revisions

More specific explanation since "27e" repeatedly confused readers and editors
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{{Prime limit navigation|19}}
{{Prime limit navigation|19}}
In 19-limit [[just intonation]], all ratios in the system will contain no primes higher than 19.
The '''19-limit''' consists of [[just intonation]] [[interval]]s whose [[ratio]]s contain no [[prime factor]]s higher than 19.  


The 19-prime-limit can be modeled in a 7-dimensional lattice, with the primes 3, 5, 7, 11, 13, 17, and 19 represented by each dimension. The prime 2 does not appear in the typical 19-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, an eighth dimension is need.
The 19-prime-limit is a [[Rank and codimension|rank-8]] system, and can be modeled in a 7-dimensional lattice, with the primes 3, 5, 7, 11, 13, 17, and 19 represented by each dimension. The prime 2 does not appear in the typical 19-limit lattice because octave equivalence is presumed. If octave equivalence is not presumed, an eighth dimension is need.


== Edo approximations ==
== Edo approximations ==