K*N subgroups: Difference between revisions

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{{Legacy|K*N_subgroups}}
For any [[Harmonic_Limit|prime limit]] p, EDO N and positive integer k, the p-limit k*N subgroup is the largest [[Just_intonation_subgroups|just intonation subgroup]] of the p-limit on which N-edo and k*N-edo approximate intervals to the same values using the mapping supplied by the [[Patent_val|patent val]] for k*N-edo. This also means they temper out the same commas.  
For any [[Harmonic_Limit|prime limit]] p, EDO N and positive integer k, the p-limit k*N subgroup is the largest [[Just_intonation_subgroups|just intonation subgroup]] of the p-limit on which N-edo and k*N-edo approximate intervals to the same values using the mapping supplied by the [[Patent_val|patent val]] for k*N-edo. This also means they temper out the same commas.