408edo - Revision history

Lériendil: Text replacement - "[[Logarithmic approximants #" to "[["

2025-10-09T14:24:51Z

Text replacement - "[[Logarithmic approximants #" to "[["

← Older revision		Revision as of 14:24, 9 October 2025
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	{{ED intro}}		{{ED intro}}

	408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[~~Logarithmic approximants #~~Argent tuning\|argent tuning]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].		408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Argent tuning\|argent tuning]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].

	=== Odd harmonics ===		=== Odd harmonics ===

Lériendil: Text replacement - "rgent temperament" to "rgent tuning"

2025-10-09T14:11:06Z

Text replacement - "rgent temperament" to "rgent tuning"

← Older revision		Revision as of 14:11, 9 October 2025
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	{{ED intro}}		{{ED intro}}

	408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent ~~temperament~~\|argent ~~temperament~~]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].		408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent tuning\|argent tuning]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].

	=== Odd harmonics ===		=== Odd harmonics ===

Francium: changed EDO intro to ED intro

2025-02-20T17:12:20Z

changed EDO intro to ED intro

← Older revision		Revision as of 17:12, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|408~~}}		{{ED intro}}

	408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent temperament\|argent temperament]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].		408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent temperament\|argent temperament]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].

FloraC: Rework

2023-11-06T15:08:05Z

Rework

← Older revision		Revision as of 15:08, 6 November 2023
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	{{Infobox ET}}		{{Infobox ET}}
	408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.		{{EDO intro\|408}}
	{{~~Primes in edo~~\|408~~\|columns=11~~}}

	[[~~Category:Equal divisions~~ of the ~~octave~~\|~~###~~]] ~~<!--~~ 3~~-digit number -->~~		408edo is in[[consistent]] to the [[5-odd-limit]] and the errors of the lower [[harmonic]]s are all quite large. It is mainly notable for being the [[optimal patent val]] for the [[Logarithmic approximants #Argent temperament\|argent temperament]], following [[169edo]], [[70edo]], [[29edo]] and [[12edo]].

			=== Odd harmonics ===
			{{Harmonics in equal\|408\|columns=11}}

			=== Subsets and supersets ===
			Since 408 factors into {{factorization\|408}}, 408edo has subset edos {{EDOs\| 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204 }}.

BudjarnLambeth at 06:32, 9 July 2023

2023-07-09T06:32:38Z

← Older revision		Revision as of 06:32, 9 July 2023
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.		408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
	{{Primes in edo\|408\|columns=11}}		{{Primes in edo\|408\|columns=11}}

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

BudjarnLambeth at 05:56, 9 July 2023

2023-07-09T05:56:53Z

← Older revision		Revision as of 05:56, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.		408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
	{{Primes in edo\|408\|columns=11}}		{{Primes in edo\|408\|columns=11}}

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Plumtree: Infobox ET added

2022-10-04T21:54:35Z

Infobox ET added

← Older revision		Revision as of 21:54, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.		408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
	{{Primes in edo\|408\|columns=11}}		{{Primes in edo\|408\|columns=11}}

	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Fredg999 category edits: Categories

2022-07-04T00:56:30Z

Yourmusic Productions: Create Page

2022-01-02T13:45:29Z

Create Page

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408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
{{Primes in edo|408|columns=11}}

← Older revision		Revision as of 00:56, 4 July 2022
Line 1:		Line 1:
	408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.		408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament\|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
	{{Primes in edo\|408\|columns=11}}		{{Primes in edo\|408\|columns=11}}

			[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->