2547047edo - Revision history

BudjarnLambeth: Mathematical interest

2025-08-10T22:07:12Z

Mathematical interest

← Older revision		Revision as of 22:07, 10 August 2025
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	{{~~Niche~~}}		{{Mathematical interest}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

FloraC: Mark as niche. Cleanup. Collapse the harmonics table

2025-07-31T14:37:44Z

Mark as niche. Cleanup. Collapse the harmonics table

← Older revision		Revision as of 14:37, 31 July 2025
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			{{Niche}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

	Despite being less practical than many smaller [[~~EDO\|EDOs~~]], it is a strong higher-limit system, especially in the 35-~~[[Odd limit\|~~odd-limit]] and ~~36-~~[[~~Odd~~ prime sum limit\|OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.		Despite being less practical than many smaller [[edo]]s, it is a strong higher-limit system, especially in the [[35-odd-limit]] and [[odd prime sum limit\|36-OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.

	{{Harmonics in equal\|steps=2547047\|columns=11}}{{Harmonics in equal\|title=Approximation of prime harmonics in 2547047edo (continued)~~\|steps=2547047\|start=12~~}}		{{Harmonics in equal\|steps=2547047\|columns=9}}
			{{Harmonics in equal\|steps=2547047\|columns=9\|start=10\|collapsed=true\|title=Approximation of prime harmonics in 2547047edo (continued)}}

Francium: changed EDO intro to ED intro

2025-02-20T06:53:21Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:53, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
			{{ED intro}}
	{{~~EDO~~ intro}}

	Despite being less practical than many smaller [[EDO\|EDOs]], it is a strong higher-limit system, especially in the 35-[[Odd limit\|odd-limit]] and 36-[[Odd prime sum limit\|OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.		Despite being less practical than many smaller [[EDO\|EDOs]], it is a strong higher-limit system, especially in the 35-[[Odd limit\|odd-limit]] and 36-[[Odd prime sum limit\|OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.

	{{Harmonics in equal\|steps=2547047\|columns=11}}{{Harmonics in equal\|title=Approximation of prime harmonics in 2547047edo (continued)\|steps=2547047\|start=12}}		{{Harmonics in equal\|steps=2547047\|columns=11}}{{Harmonics in equal\|title=Approximation of prime harmonics in 2547047edo (continued)\|steps=2547047\|start=12}}

Tristanbay: Added page for 2547047edo

2024-04-29T06:04:27Z

Added page for 2547047edo

New page

{{Infobox ET}}

{{EDO intro}}

Despite being less practical than many smaller [[EDO|EDOs]], it is a strong higher-limit system, especially in the 35-[[Odd limit|odd-limit]] and 36-[[Odd prime sum limit|OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.

{{Harmonics in equal|steps=2547047|columns=11}}{{Harmonics in equal|title=Approximation of prime harmonics in 2547047edo (continued)|steps=2547047|start=12}}