K*N subgroups: Difference between revisions

Revision as of 16:56, 17 February 2025 view source Lériendil (talk \| contribs) 8,044 edits mNo edit summary ← Older edit		Revision as of 18:04, 29 March 2025 view source Sintel (talk \| contribs) autopatrolled, emailconfirmed 1,632 edits -legacy, todo explain relevance Newer edit →
Line 1:		Line 1:
	{{~~Legacy~~}}		{{todo\|explain its xenharmonic value}}
	For any [[Harmonic_Limit\|prime limit]] p, EDO N and positive integer k, the p-limit kN subgroup is the largest [[Just_intonation_subgroups\|just intonation subgroup]] of the p-limit on which N-edo and kN-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 kN subgroup is the largest [[Just_intonation_subgroups\|just intonation subgroup]] of the p-limit on which N-edo and kN-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.