5-limit: Difference between revisions
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{{Prime limit navigation|5}} | {{Prime limit navigation|5}} | ||
{{Wikipedia|Five-limit tuning}} | {{Wikipedia|Five-limit tuning}} | ||
The '''5-limit''' consists of all [[just intonation]] intervals whose [[ratio|numerators and denominators]] are both products of the primes 2, 3, and 5; these are sometimes called [[wikipedia: Regular number|regular numbers]]. Some examples of 5-limit intervals are [[5/4]], [[6/5]], [[10/9]] and [[81/80 | The '''5-limit''' consists of all [[just intonation]] intervals whose [[ratio|numerators and denominators]] are both products of the primes 2, 3, and 5; these are sometimes called [[wikipedia: Regular number|regular numbers]]. The 5-limit is the third prime limit and is a superset of the [[3-limit]] and a subset of the [[7-limit]]. Some examples of 5-limit intervals are [[5/4]], [[6/5]], [[10/9]] and [[81/80]]. | ||
These things are contained by the 5-limit, but not the 3-limit: | These things are contained by the 5-limit, but not the 3-limit: | ||