493edt - Revision history

FloraC: Expand

2026-02-08T16:11:02Z

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← Older revision		Revision as of 16:11, 8 February 2026
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	493edt is ~~essentially equivalent~~ to [[311edo]] (with patent ~~vals matching~~ through the [[43-limit]]), maintaining ~~its~~ extremely strong [[consistency]] record through to the [[integer limit\|42-integer-limit]].		== Theory ==
			493edt is related to [[311edo]], but with the [[3/1\|twelfth]] rather than the [[2/1\|octave]] being just. The octave is about 0.187 cents compressed. The patent val matches with 311edo's through the [[43-limit]], maintaining the extremely strong [[consistency]] record through to the [[integer limit\|42-integer-limit]]. However, it has a flat-tending tuning profile, with harmonics 1–42 all tuned flat except for [[31/1\|31]].

	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|493\|3\|1\|columns=11}}		{{Harmonics in equal\|493\|3\|1\|columns=11}}
	{{Harmonics in equal\|493\|3\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 493edt (continued)}}		{{Harmonics in equal\|493\|3\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 493edt (continued)}}

			=== Subsets and supersets ===
			Since 493 factors into primes as {{nowrap\| 17 × 29 }}, 493edt contiains [[17edt]] and [[29edt]] as its subset edts.

			=== See also ===
			* [[311edo]] – relative edo

FloraC at 09:24, 9 March 2025

2025-03-09T09:24:57Z

← Older revision		Revision as of 09:24, 9 March 2025
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			\| Consistency = 42
			}}
	{{ED intro}}		{{ED intro}}

	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the ~~41-~~[[~~odd~~-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the [[integer limit\|42-integer-limit]].

	=== Harmonics ===		=== Harmonics ===
	{{Harmonics in equal\|493\|3\|1\|columns=11}}		{{Harmonics in equal\|493\|3\|1\|columns=11}}
	{{Harmonics in equal\|493\|3\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 493edt (continued)}}		{{Harmonics in equal\|493\|3\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 493edt (continued)}}

FloraC at 08:36, 9 March 2025

2025-03-09T08:36:09Z

← Older revision		Revision as of 08:36, 9 March 2025
Line 4:		Line 4:
	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

	== Harmonics ==		=== Harmonics ===
	{{Harmonics in equal\|493\|3\|1\|columns=9}}		{{Harmonics in equal\|493\|3\|1\|columns=11}}
	{{Harmonics in equal\|493\|3\|1\|columns=9\|start=10\|collapsed=true\|title=Approximation of ~~prime~~ harmonics in 493edt (continued)}}		{{Harmonics in equal\|493\|3\|1\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 493edt (continued)}}

FloraC at 08:32, 9 March 2025

2025-03-09T08:32:37Z

← Older revision		Revision as of 08:32, 9 March 2025
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|493\|3\|1\|columns=9}}		{{Harmonics in equal\|493\|3\|1\|columns=9}}
	{{Harmonics in equal\|493\|3\|1\|columns=9\|start=10\|collapsed=true\|Approximation of prime harmonics in 493edt (continued)}}		{{Harmonics in equal\|493\|3\|1\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 493edt (continued)}}

FloraC at 08:31, 9 March 2025

2025-03-09T08:31:35Z

← Older revision		Revision as of 08:31, 9 March 2025
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	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|493\|3\|1~~\|intervals = prime~~\|columns = 9}}		{{Harmonics in equal\|493\|3\|1\|columns=9}}
	{{Harmonics in equal\|493\|3\|1\|start = 12\|collapsed = 1\|~~intervals = odd\|columns = 16~~}}		{{Harmonics in equal\|493\|3\|1\|columns=9\|start=10\|collapsed=true\|Approximation of prime harmonics in 493edt (continued)}}

ArrowHead294 at 00:02, 8 March 2025

2025-03-08T00:02:42Z

← Older revision		Revision as of 00:02, 8 March 2025
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	{{~~Stub~~}}		{{Infobox ET}}
			{{ED intro}}

	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

BudjarnLambeth: I see now what the reason was, it’s because the Lua modules encountered an error. I will go check if this is also happening on other pages or if it is specific to this page.

2025-03-07T23:51:38Z

I see now what the reason was, it’s because the Lua modules encountered an error. I will go check if this is also happening on other pages or if it is specific to this page.

← Older revision		Revision as of 23:51, 7 March 2025
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	{{Stub}}		{{Stub}}
	~~{{Infobox ET}}~~
	~~{{ED intro}}~~

	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

BudjarnLambeth: Undo revision 184997. It appears this revision just blanked the intro and infobox for no reason. If there was a reason, please explain it on the talk page. Thank you.

2025-03-07T23:50:30Z

Undo revision 184997. It appears this revision just blanked the intro and infobox for no reason. If there was a reason, please explain it on the talk page. Thank you.

← Older revision		Revision as of 23:50, 7 March 2025
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	{{Stub}}		{{Stub}}
			{{Infobox ET}}
			{{ED intro}}

	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

MisterShafXen at 11:57, 7 March 2025

2025-03-07T11:57:41Z

← Older revision		Revision as of 11:57, 7 March 2025
Line 1:		Line 1:
	{{Stub}}		{{Stub}}
	~~{{Infobox ET}}~~
	~~{{ED intro}}~~

	493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

Lériendil at 20:32, 7 October 2024

2024-10-07T20:32:56Z

← Older revision		Revision as of 20:32, 7 October 2024
Line 3:		Line 3:
	{{ED intro}}		{{ED intro}}

	493edt is essentially equivalent to [[311edo]], maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].		493edt is essentially equivalent to [[311edo]] (with patent vals matching through the [[43-limit]]), maintaining its extremely strong [[consistency]] record through to the 41-[[odd-limit]].

	== Harmonics ==		== Harmonics ==
	{{Harmonics in equal\|493\|3\|1\|intervals = prime\|columns = 9}}		{{Harmonics in equal\|493\|3\|1\|intervals = prime\|columns = 9}}
	{{Harmonics in equal\|493\|3\|1\|start = 12\|collapsed = 1\|intervals = odd\|columns = 16}}		{{Harmonics in equal\|493\|3\|1\|start = 12\|collapsed = 1\|intervals = odd\|columns = 16}}