FloraC: Expand the harmonics table a little

2025-10-02T16:05:22Z

Expand the harmonics table a little

← Older revision		Revision as of 16:05, 2 October 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|6349\|columns=9}}		{{Harmonics in equal\|6349\|columns=11}}
	{{Harmonics in equal\|6349\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 6349edo (continued)}}		{{Harmonics in equal\|6349\|columns=11\|start=12\|collapsed=true\|title=Approximation of prime harmonics in 6349edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 6349 factors into primes as {{nowrap\| 7 × 907 }}, 6349edo contains [[7edo]] and 907edo as subsets.		Since 6349 factors into primes as {{nowrap\| 7 × 907 }}, 6349edo contains [[7edo]] and 907edo as subsets.

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 6349edo is a strong 23-limit system, consistent to the 25-odd-limit, though 6079edo which among other things has a lower 23-limit..."

2025-03-07T08:33:39Z

Created page with "{{Infobox ET}} {{ED intro}} 6349edo is a strong 23-limit system, consistent to the 25-odd-limit, though 6079edo which among other things has a lower 23-limit..."

New page

{{Infobox ET}}
{{ED intro}}

6349edo is a strong [[23-limit]] system, [[consistent]] to the [[25-odd-limit]], though [[6079edo]] which among other things has a lower 23-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] rather puts it in the shade. However, 6349edo can be used as a [[41-limit]] system, consistent to the no-27 no-37, no-27 no-29, or no-17 no-29 [[41-odd-limit]], as [[27/17]], [[29/27]], [[37/29]] and their [[octave complement]]s exhaust the inconsistently mapped intervals in the full 41-odd-limit.

We may note it is a [[euzenius]] and [[akjaysmic]] system. Some simpler [[comma]]s it [[tempering out|tempers out]] in the higher limits include [[123201/123200]] in the [[13-limit]]; [[12376/12375]], [[28561/28560]], [[37180/37179]] in the [[17-limit]]; 23409/23408, 28900/28899, 43681/43680, and 89376/89375 in the [[19-limit]]; 11271/11270, 21505/21054, 21736/21735, 23276/23275, and [[25921/25920]] in the 23-limit.

=== Prime harmonics ===
{{Harmonics in equal|6349|columns=9}}
{{Harmonics in equal|6349|columns=9|start=10|collapsed=true|title=Approximation of prime harmonics in 6349edo (continued)}}

=== Subsets and supersets ===
Since 6349 factors into primes as {{nowrap| 7 × 907 }}, 6349edo contains [[7edo]] and 907edo as subsets.

6349edo - Revision history

FloraC: Expand the harmonics table a little

FloraC: Created page with "{{Infobox ET}} {{ED intro}} 6349edo is a strong 23-limit system, consistent to the 25-odd-limit, though 6079edo which among other things has a lower 23-limit..."