Harmonic class: Difference between revisions

That list isn't useful cuz HC contains infinitely many intervals and examples are already given in the first paragraph
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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]]


[[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.
[[Category:Terms]]
 
[[Category:Class]]
[[Category:Overtone]]
[[Category:Limit]]