78005edo - Revision history

Eufalesio: not just extremely strong, UNFATHOMABLY strong!!

2026-01-09T11:28:34Z

not just extremely strong, UNFATHOMABLY strong!!

← Older revision		Revision as of 11:28, 9 January 2026
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	{{ED intro}}		{{ED intro}}

	While 78005edo is [[consistency\|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is ~~a very~~ strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. The equal temperament [[tempering out\|tempers out]] {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.		While 78005edo is [[consistency\|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is an unfathomably strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. The equal temperament [[tempering out\|tempers out]] {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

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

Francium: changed EDO intro to ED intro

2025-02-20T06:55:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:55, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|78005~~}}		{{ED intro}}

	While 78005edo is [[consistency\|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is a very strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. The equal temperament [[tempering out\|tempers out]] {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.		While 78005edo is [[consistency\|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is a very strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. The equal temperament [[tempering out\|tempers out]] {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

FloraC: Cleanup and fix the link to TE logflat badness

2023-11-27T09:09:18Z

Cleanup and fix the link to TE logflat badness

← Older revision		Revision as of 09:09, 27 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|78005}} While it is ~~distinctly~~ [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit ~~division~~, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[~~Tenney-Euclidean metrics #Logflat TE badness\|~~TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.		{{EDO intro\|78005}}

			While 78005edo is [[consistency\|distinctly consistent]] through the [[21-odd-limit]], its notability stems from the fact that it is a very strong [[5-limit]] system, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. The equal temperament [[tempering out\|tempers out]] {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

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

BudjarnLambeth at 07:18, 9 July 2023

2023-07-09T07:18:07Z

← Older revision		Revision as of 07:18, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|78005}} While it is distinctly [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness\|TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.		{{EDO intro\|78005}} While it is distinctly [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness\|TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

BudjarnLambeth at 04:05, 9 July 2023

2023-07-09T04:05:22Z

← Older revision		Revision as of 04:05, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|78005}} While it is distinctly [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness\|TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.		{{EDO intro\|78005}} While it is distinctly [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness\|TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

FloraC: Cleanup and +subset edos

2023-02-20T08:42:29Z

Cleanup and +subset edos

← Older revision		Revision as of 08:42, 20 February 2023
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''78005EDO''' is the [[~~EDO\|~~equal division of the octave]] into~~ 78005 ~~parts of 0.01538363 [[cent]]s each.~~ While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-~~Euclidean_temperament_measures~~#TE simple badness\|relative error]] than any smaller ~~EDO~~, and lower 5-limit [[Tenney-~~Euclidean_metrics~~#Logflat TE badness\|TE logflat badness]] than any smaller ~~EDO~~ excepting [[4296edo\|4296]]. It tempers out \|232 -183 25~~>~~, \|324 8 -145~~>~~, \|92 191 -170~~>~~, \|140 -374 195~~>~~, the selenia \|-433 -137 280~~>~~, and the quark \|-573 237 85~~>~~.		{{EDO intro\|78005}} While it is distinctly [[consistent]] through the 21-odd-limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]] than any smaller edo, and lower 5-limit [[Tenney-Euclidean metrics #Logflat TE badness\|TE logflat badness]] than any smaller edo excepting [[4296edo\|4296]]. It tempers out {{monzo\| 232 -183 25 }}, {{monzo\| 324 8 -145 }}, {{monzo\| 92 191 -170 }}, {{monzo\| 140 -374 195 }}, the selenia {{monzo\| -433 -137 280 }}, and the quark {{monzo\| -573 237 85 }}.

	[[~~Category:Equal divisions~~ of the ~~octave\|#####]] <!-- 5-digit number -->~~		=== Prime harmonics ===
			{{Harmonics in equal\|78005}}

			=== Subsets and supersets ===
			78005edo contains [[15601edo]], from which the approximation of the 3rd harmonic is derived.

Plumtree: Infobox ET added

2022-10-04T22:29:59Z

Infobox ET added

← Older revision		Revision as of 22:29, 4 October 2022
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			{{Infobox ET}}
	'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.		'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.

	[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

Fredg999 category edits: Sort key

2022-07-04T01:45:41Z

Sort key

← Older revision		Revision as of 01:45, 4 July 2022
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	'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.		'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

Fredg999 category edits: Removing from Category:Theory using Cat-a-lot

2022-02-26T16:48:54Z

Removing from Category:Theory using Cat-a-lot

← Older revision		Revision as of 16:48, 26 February 2022
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	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]
	~~[[Category:Theory]]~~

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:57Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
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	'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.		'''78005EDO''' is the [[EDO\|equal division of the octave]] into 78005 parts of 0.01538363 [[cent]]s each. While it is distinctly consistent through the 21 limit, its notability stems from the fact that it is a very strong 5-limit division, with lower 5-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]] than any smaller EDO, and lower 5-limit [[Tenney-Euclidean_metrics#Logflat TE badness\|TE logflat badness]] than any smaller EDO excepting [[4296edo\|4296]]. It tempers out \|232 -183 25>, \|324 8 -145>, \|92 191 -170>, \|140 -374 195>, the selenia \|-433 -137 280>, and the quark \|-573 237 85>.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]
	[[Category:Theory]]		[[Category:Theory]]