Frequency temperament: Difference between revisions
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'''Arithmetic temperaments''' are the arithmetic counterpart to [[rank-2 temperament]]s. A rank-2 temperament has a generator interval and a period interval, and intervals are produced by taking powers of the generator, and then reducing them to the range from [[1/1]] to the period. | '''Arithmetic temperaments''' are the arithmetic counterpart to [[rank-2 temperament]]s. A rank-2 temperament has a generator interval and a period interval, and new intervals are produced by taking powers of the generator, and then reducing them logarithmically to the range from [[1/1]] to the period. But in arithmetic temperaments, new intervals are produced by taking ''multiples''of the generator and reducing them arithmetically. | ||
Revision as of 01:43, 2 March 2023
Arithmetic temperaments are the arithmetic counterpart to rank-2 temperaments. A rank-2 temperament has a generator interval and a period interval, and new intervals are produced by taking powers of the generator, and then reducing them logarithmically to the range from 1/1 to the period. But in arithmetic temperaments, new intervals are produced by taking multiplesof the generator and reducing them arithmetically.