Xen concepts for beginners: Difference between revisions

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There are two ways the term ''[[limit]]'' is used.
There are two ways the term ''[[limit]]'' is used.
* The ''p-[[prime limit]]'' is the lattice built by multiplying the primes at most p, possibly multiple times. We write a JI lattice by writing the basic intervals separated by periods. For example, 6/5 = 2 \* 3 / 5 is in the 5-limit, or the 2.3.5 subgroup, and so is 45/32 = (3 * 3 * 5) / (2 * 2 * 2 * 2 * 2).
* The ''p-[[prime limit]]'' is the lattice built by multiplying the primes at most p, possibly multiple times. We write a JI lattice by writing the basic intervals separated by periods. For example, 6/5 = 2 * 3 / 5 is in the 5-limit, or the 2.3.5 subgroup, and so is 45/32 = (3 * 3 * 5) / (2 * 2 * 2 * 2 * 2).
* The ''n-[[odd-limit]]'' is the set of all JI ratios where the larger of the numerator and denominator after removing factors of 2 from the JI ratios is at most the odd number n. For example, 7/6, 13/5, 11/10, and 16/15 are all in the 15-odd limit.
* The ''n-[[odd-limit]]'' is the set of all JI ratios where the larger of the numerator and denominator after removing factors of 2 from the JI ratios is at most the odd number n. For example, 7/6, 13/5, 11/10, and 16/15 are all in the 15-odd limit.