Odd limit: Difference between revisions
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{{Wikipedia|Limit (music)}} | {{Wikipedia|Limit (music)}} | ||
The '''odd limit''' is a metric that places an upper bound on (i.e. limits) the [[complexity]] of the [[ratio]]s used in a piece of music | The '''odd limit''' is a metric that places an upper bound on (i.e. limits) the [[complexity]] of the [[ratio]]s used in a piece of music. Odd limit can refer to the set of all ratios that are within this limit, or it can refer to the metric itself, applied to individual ratios. Integer limit and [[prime limit]] are related concepts. | ||
To find the odd limit of a ratio: If either the numerator or the denominator is even, divide it by two until it is odd. The larger of the two odd numbers is the odd limit. Example: 12/7 becomes 3/7, and 7 is greater than 3, thus the odd limit is 7. | To find the odd limit of a ratio: If either the numerator or the denominator is even, divide it by two until it is odd. The larger of the two odd numbers is the odd limit. Example: 12/7 becomes 3/7, and 7 is greater than 3, thus the odd limit is 7. | ||