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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. [[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.
| | #REDIRECT [[Harmonic limit#Harmonic class]] |
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| == List of harmonic classes ==
| | [[Category:Terms]] |
| * HC1 - 1/1, 2/1
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| * HC3 - 9/8, 3/2, 4/3, 16/9, 3/1
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| * HC5 - 10/9, 6/5, 5/4, 8/5, 5/3
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| * HC7 - 8/7, 7/6, 9/7, 7/5, 10/7, 12/7, 7/4
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| * HC11 - 12/11, 11/10, 11/9, 14/11, 11/8, 16/11, 11/7, 18/11, 20/11, 11/6
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| * HC13 -
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| [[Category:Class]] | |
| [[Category:Overtone]]
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| [[Category:Limit]]
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