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| '''Harmonic class''' ('''HC''') classifies JI ratios based on the highest [[prime interval|prime]] they contain in either the numerator or denominator. HC tells us that the ratio must contain the prime of whatever class it falls into and will contain no higher prime.
| | #REDIRECT [[Harmonic limit#Harmonic class]] |
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| [[Harmonic limit]] refers to the highest prime allowed in the ratios and includes all simpler ratios of lower limit, but HC only contains those which contain that prime. For example, while 5/4 falls into the 7-limit, it is not considered a HC7 interval because the highest prime it contains is 5 not 7. Therefore, HC7 must contain a 7 and no higher prime. 9/7 however would be considered HC7 because 9 is not prime but rather a multiple of 3. Therefore, HC9 does not exist.
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| It has been criticized by some schools that the sound of JI is not well characterized by this classification system. Specifically, it is believed that each harmonic class lacks a consistent sound quality. Rather, [[primodality]] classifies intervals by their common denominator, and meanwhile, the 2.3-equivalent class may be used as an enhancement suitable for traditional JI and/or [[regular temperament theory]].
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| [[Category:Class]] | |
| [[Category:Harmonic]]
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| [[Category:Limit]]
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