28742edo - Revision history

FloraC: - typo

2026-05-27T05:56:13Z

- typo

← Older revision		Revision as of 05:56, 27 May 2026
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	{{ED intro}}		{{ED intro}}

	28742edo is a strong [[29-limit]] system, [[consistent]] to the [[23-odd-limit]], and except for [[25/23]] and its [[octave complement]], it is ~~the~~ consistent to the [[29-odd-limit]]. It also has potential as a no-31 higher-limit system. It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].		28742edo is a strong [[29-limit]] system, [[consistent]] to the [[23-odd-limit]], and except for [[25/23]] and its [[octave complement]], it is consistent to the [[29-odd-limit]]. It also has potential as a no-31 higher-limit system. It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].

	As an equal temperament, it tempers out [[123201/123200]] in the [[13-limit]]; [[194481/194480]] and [[336141/336140]] in the 17-limit; [[89376/89375]], [[104976/104975]] and [[165376/165375]] in the 19-limit; and [[75141/75140]] among others in the 23-limit.		As an equal temperament, it tempers out [[123201/123200]] in the [[13-limit]]; [[194481/194480]] and [[336141/336140]] in the 17-limit; [[89376/89375]], [[104976/104975]] and [[165376/165375]] in the 19-limit; and [[75141/75140]] among others in the 23-limit.

2026-05-27T05:54:37Z

← Older revision		Revision as of 05:54, 27 May 2026
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	{{ED intro}}		{{ED intro}}

	28742edo is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].		28742edo is a strong [[29-limit]] system, [[consistent]] to the [[23-odd-limit]], and except for [[25/23]] and its [[octave complement]], it is the consistent to the [[29-odd-limit]]. It also has potential as a no-31 higher-limit system. It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].

			As an equal temperament, it tempers out [[123201/123200]] in the [[13-limit]]; [[194481/194480]] and [[336141/336140]] in the 17-limit; [[89376/89375]], [[104976/104975]] and [[165376/165375]] in the 19-limit; and [[75141/75140]] among others in the 23-limit.

	=== Prime harmonics ===		=== Prime harmonics ===
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	{{Harmonics in equal\|28742\|columns=11\|start=12\|collapsed=true\|title=Approximation of prime harmonics in 28742edo (continued)}}		{{Harmonics in equal\|28742\|columns=11\|start=12\|collapsed=true\|title=Approximation of prime harmonics in 28742edo (continued)}}

			=== Subsets and supersets ===
	{{~~Stub~~}}		Since 28742 factors into {{nowrap\| 2 × 7 × 2053 }}, 28742edo has subset edos {{EDOs\| 2, 7, 14 }}, 2053, 4106, and 14371.

2026-01-15T11:23:47Z

Cleanup

← Older revision		Revision as of 11:23, 15 January 2026
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	{{ED intro}}		{{ED intro}}

	It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].		28742edo is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].

	== Harmonics ==		=== Prime harmonics ===
	{{Harmonics in equal\|28742}}		{{Harmonics in equal\|28742\|columns=11}}
			{{Harmonics in equal\|28742\|columns=11\|start=12\|collapsed=true\|title=Approximation of prime harmonics in 28742edo (continued)}}


			{{Stub}}

2025-07-31T15:02:43Z

Explain its xenharmonic value (not much but it's something)

← Older revision		Revision as of 15:02, 31 July 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

			It is the next [[zeta peak edo]] (and zeta peak integer edo) after [[16808edo]].

	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|28742}}		{{Harmonics in equal\|28742}}

2025-02-20T06:36:55Z

changed EDO intro to ED intro

2024-12-26T23:02:23Z

Add harmonics

2024-12-26T14:22:56Z

Created page with "{{Infobox ET}} {{EDO intro}}"

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