148418edo - Revision history

Tristanbay: Giving most edo pages over 100000 the mathematical interest note

2025-09-08T17:50:18Z

Giving most edo pages over 100000 the mathematical interest note

← Older revision		Revision as of 17:50, 8 September 2025
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			{{Mathematical interest}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

FloraC: De-emphasise zeta a little

2025-07-30T14:17:47Z

De-emphasise zeta a little

← Older revision		Revision as of 14:17, 30 July 2025
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	{{ED intro}}		{{ED intro}}

	148418edo is a ~~[[zeta peak edo]]~~, distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the [[23-limit\|23-]], [[29-limit\|29-]], and [[31-limit]], the first after 83096 in the [[37-limit]], and the first after 95524 in the [[41-limit]]. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.		148418edo is a very strong higher-limit tuning, distinctly [[consistent]] through the [[39-odd-limit]], and is a [[zeta peak edo]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the [[23-limit\|23-]], [[29-limit\|29-]], and [[31-limit]], the first after 83096 in the [[37-limit]], and the first after 95524 in the [[41-limit]]. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.

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

FloraC: + links

2025-07-30T14:13:30Z

+ links

← Older revision		Revision as of 14:13, 30 July 2025
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	{{ED intro}}		{{ED intro}}

	148418edo is a [[zeta peak edo]], distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.		148418edo is a [[zeta peak edo]], distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the [[23-limit\|23-]], [[29-limit\|29-]], and [[31-limit]], the first after 83096 in the [[37-limit]], and the first after 95524 in the [[41-limit]]. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.

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

FloraC at 14:12, 30 July 2025

2025-07-30T14:12:28Z

← Older revision		Revision as of 14:12, 30 July 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.		Since 148418 factors into primes as {{nowrap\| 2 × 74209 }}, 148418edo has subset edos 2 and 74209.

FloraC: Extend the prime harmonics table

2025-07-30T14:11:47Z

Extend the prime harmonics table

← Older revision		Revision as of 14:11, 30 July 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|148418}}		{{Harmonics in equal\|148418\|intervals=prime\|columns=9}}
			{{Harmonics in equal\|148418\|intervals=prime\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 148418edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.		Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.

Francium: changed EDO intro to ED intro

2025-02-20T16:58:00Z

changed EDO intro to ED intro

← Older revision		Revision as of 16:58, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|148418~~}}		{{ED intro}}

	148418edo is a [[zeta peak edo]], distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.		148418edo is a [[zeta peak edo]], distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness\|relative error]]s after [[16808edo\|16808]] in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.

BudjarnLambeth at 07:19, 9 July 2023

2023-07-09T07:19:40Z

← Older revision		Revision as of 07:19, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|148418}}		{{EDO intro\|148418}}

BudjarnLambeth at 04:02, 9 July 2023

2023-07-09T04:02:29Z

← Older revision		Revision as of 04:02, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|148418}}		{{EDO intro\|148418}}

FloraC: Created page with "{{Infobox ET}} {{EDO intro|148418}} 148418edo is a zeta peak edo, distinctly consistent through the 39-odd-limit. It marks the first equal temperament with lower..."

2023-04-15T12:50:24Z

Created page with "{{Infobox ET}} {{EDO intro|148418}} 148418edo is a zeta peak edo, distinctly consistent through the 39-odd-limit. It marks the first equal temperament with lower..."

New page

{{Infobox ET}}
{{EDO intro|148418}}

148418edo is a [[zeta peak edo]], distinctly [[consistent]] through the [[39-odd-limit]]. It marks the first equal temperament with lower [[Tenney-Euclidean temperament measures #TE simple badness|relative error]]s after [[16808edo|16808]] in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.

=== Prime harmonics ===
{{Harmonics in equal|148418}}

=== Subsets and supersets ===
Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.