23-limit: Difference between revisions

Revision as of 10:14, 12 October 2022 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,088 edits +edo approximations ← Older edit		Revision as of 14:13, 29 November 2022 view source FloraC (talk \| contribs) autopatrolled, Bureaucrats, Interface administrators, Sysops 24,088 edits +navigation bar Newer edit →
Line 1:		Line 1:
			{{Prime limit navigation\|23}}
	In 23-limit [[just intonation]], all ratios contain no prime factors higher than 23. The prime 23 is significant as being the start of a record prime gap ending at 29, the previous record prime gap being the one corresponding to the [[7-limit]]. Thus, it is arguably a potential ideal stopping point for prime limits due to it corresponding to the full [[27-odd-limit]] and thus corresponding to mode 14 of the harmonic series, which is to say that all of the first 28 harmonics are in the 23-limit.		In 23-limit [[just intonation]], all ratios contain no prime factors higher than 23. The prime 23 is significant as being the start of a record prime gap ending at 29, the previous record prime gap being the one corresponding to the [[7-limit]]. Thus, it is arguably a potential ideal stopping point for prime limits due to it corresponding to the full [[27-odd-limit]] and thus corresponding to mode 14 of the harmonic series, which is to say that all of the first 28 harmonics are in the 23-limit.