14618edo - Revision history

FloraC: Expand the harmonics table a little

2025-10-02T15:51:51Z

Expand the harmonics table a little

← Older revision		Revision as of 15:51, 2 October 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|14618\|columns=9}}		{{Harmonics in equal\|14618\|columns=11}}
	{{Harmonics in equal\|14618\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 14618edo (continued)}}		{{Harmonics in equal\|14618\|columns=11\|start=12\|collapsed=true\|title=Approximation of prime harmonics in 14618edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	29236edo, which doubles 14618edo, provides a good correction to the harmonics 17 and 23.		29236edo, which doubles 14618edo, provides a good correction to the harmonics 17 and 23.

FloraC: Clarify. + links

2025-07-30T14:23:58Z

Clarify. + links

← Older revision		Revision as of 14:23, 30 July 2025
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	{{ED intro}}		{{ED intro}}

	14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup, holding the record of relative error until [[16808edo\|16808]].		14618edo is an extremely strong [[13-limit]] system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], [[1990656/1990625]], 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup, holding the record of lowest relative error until [[16808edo\|16808]].

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Extend the prime harmonics table

2025-07-30T14:22:13Z

Extend the prime harmonics table

← Older revision		Revision as of 14:22, 30 July 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|14618}}		{{Harmonics in equal\|14618\|columns=9}}
			{{Harmonics in equal\|14618\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 14618edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	29236edo, which doubles 14618edo, provides a good correction to the harmonics 17 and 23.		29236edo, which doubles 14618edo, provides a good correction to the harmonics 17 and 23.

Francium: changed EDO intro to ED intro

2025-02-20T17:18:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:18, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|14618~~}}		{{ED intro}}

	14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup, holding the record of relative error until [[16808edo\|16808]].		14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup, holding the record of relative error until [[16808edo\|16808]].

FloraC: Note its exceptional accuracy in the no-17 no-23 29-limit

2024-11-07T16:18:49Z

Note its exceptional accuracy in the no-17 no-23 29-limit

← Older revision		Revision as of 16:18, 7 November 2024
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	{{EDO intro\|14618}}		{{EDO intro\|14618}}

	14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup.		14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo\|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup, holding the record of relative error until [[16808edo\|16808]].

	=== Prime harmonics ===		=== Prime harmonics ===

BudjarnLambeth at 06:10, 9 July 2023

2023-07-09T06:10:48Z

← Older revision		Revision as of 06:10, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|14618}}		{{EDO intro\|14618}}

BudjarnLambeth at 04:14, 9 July 2023

2023-07-09T04:14:48Z

← Older revision		Revision as of 04:14, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|14618}}		{{EDO intro\|14618}}

FloraC: Created page with "{{Infobox ET}} {{EDO intro|14618}} 14618edo is an extremely strong 13-limit system, with a lower relative error than any previous equal temperaments, beating 6079edo|60..."

2023-02-19T13:09:35Z

Created page with "{{Infobox ET}} {{EDO intro|14618}} 14618edo is an extremely strong 13-limit system, with a lower relative error than any previous equal temperaments, beating 6079edo|60..."

New page

{{Infobox ET}}
{{EDO intro|14618}}

14618edo is an extremely strong 13-limit system, with a lower [[relative error]] than any previous equal temperaments, beating [[6079edo|6079]] and not until 73591 do we find a better equal temperament in the same subgroup. A [[comma basis]] is {[[123201/123200]], 1990656/1990625, 3294225/3294172, 4084223/4084101, 781258401/781250000}. It is much less impressive beyond that limit, though it does well in the 2.3.5.7.11.13.19.29 subgroup.

=== Prime harmonics ===
{{Harmonics in equal|14618}}

=== Subsets and supersets ===
29236edo, which doubles 14618edo, provides a good correction to the harmonics 17 and 23.