User:Francium/647edo - Revision history

Francium at 10:55, 19 May 2026

2026-05-19T10:55:23Z

← Older revision		Revision as of 10:55, 19 May 2026
Line 1:		Line 1:
	~~{{delete\|[[notability guidelines\|violates notability guidelines]]}}~~{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

Francium: Francium moved page 647edo to User:Francium/647edo: It isn't notable enough to be in the main space, but I created the page before the notability guide existed.

2026-05-19T10:54:55Z

Francium moved page 647edo to User:Francium/647edo: It isn't notable enough to be in the main space, but I created the page before the notability guide existed.

← Older revision	Revision as of 10:54, 19 May 2026
(No difference)

Nick Vuci: Nominated for deletion due to violating notability guidelines

2026-05-13T00:17:10Z

Nominated for deletion due to violating notability guidelines

← Older revision		Revision as of 00:17, 13 May 2026
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	{{Infobox ET}}		{{delete\|[[notability guidelines\|violates notability guidelines]]}}{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

Overthink: Undo revision 230158 by Domin (talk) please give a better reason

2026-05-13T00:10:57Z

Undo revision 230158 by Domin (talk) please give a better reason

← Older revision		Revision as of 00:10, 13 May 2026
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	~~{{delete\|useless crap}}~~
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

Domin at 00:06, 13 May 2026

2026-05-13T00:06:37Z

← Older revision		Revision as of 00:06, 13 May 2026
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			{{delete\|useless crap}}
	{{Infobox ET}}		{{Infobox ET}}
	{{ED intro}}		{{ED intro}}

ArrowHead294 at 12:55, 21 February 2025

2025-02-21T12:55:43Z

← Older revision		Revision as of 12:55, 21 February 2025
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	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		\|-
	! rowspan="2" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
	![[TE error\|Absolute]] (¢)		\|-
	![[TE simple badness\|Relative]] (%)		! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
	\| {{monzo\|2051 -647}}		\| {{monzo\|2051 -647}}
	\| {{mapping\|647 2051}}		\| {{mapping\|647 2051}}
	\| -0.0171		\| −0.0171
	\| 0.0171		\| 0.0171
	\| 0.92		\| 0.92

Francium: changed EDO intro to ED intro

2025-02-21T05:53:32Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:53, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|647~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2024-09-11T12:23:25Z

+music

← Older revision		Revision as of 12:23, 11 September 2024
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	\| 5.58		\| 5.58
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Freeware" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/2OFMrhE9KtqfCj3RhPjFjp Spotify] \| [https://francium223.bandcamp.com/track/freeware Bandcamp] \| [https://www.youtube.com/watch?v=QSiZsJjnu78 YouTube]

Francium: Created page with "{{Infobox ET}} {{EDO intro|647}} == Theory == 647edo is consistent to the 7-odd-limit and its harmonic 3 is about halfway its steps. It tends heavily flat..."

2024-07-30T18:03:59Z

Created page with "{{Infobox ET}} {{EDO intro|647}} == Theory == 647edo is consistent to the 7-odd-limit and its harmonic 3 is about halfway its steps. It tends heavily flat..."

New page

{{Infobox ET}}
{{EDO intro|647}}

== Theory ==
647edo is [[consistent]] to the [[7-odd-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. It tends heavily flat in the first few harmonics. Using the [[patent val]] it [[tempering out|tempers out]] [[2401/2400]], 7381125/7340032 and 1224440064/1220703125 in the [[7-limit]]; [[8019/8000]], 2401/2400, 46656/46585 and 1265625/1261568 in the [[11-limit]]. Alternatively, the 2.9.5.7.11.13 [[subgroup]] might be worth considering.

=== Odd harmonics ===
{{Harmonics in equal|647}}

=== Subsets and supersets ===
647edo is the 118th [[prime EDO]]. [[1294edo]], which doubles it, gives a good correction to the harmonic 3.

== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
| 2.9
| {{monzo|2051 -647}}
| {{mapping|647 2051}}
| -0.0171
| 0.0171
| 0.92
|-
| 2.9.5
| {{monzo|-50 -4 27}}, {{monzo|63 -25 7}}
| {{mapping|647 2051 1502}}
| +0.0651
| 0.1172
| 6.32
|-
| 2.9.5.7
| 703125/702464, 3500000000/3486784401, 4202539929/4194304000
| {{mapping|647 2051 1502 1816}}
| +0.1081
| 0.1258
| 6.78
|-
| 2.9.5.7.11
| 496125/495616, 1684375/1679616, 151263/151250, 40960000/40920957
| {{mapping|647 2051 1502 1816 2238}}
| +0.1135
| 0.1131
| 6.10
|-
| 2.9.5.7.11.13
| 4459/4455, 35750/35721, 47432/47385, 60025/59904, 1146880/1146717
| {{mapping|647 2051 1502 1816 2238 2394}}
| +0.1100
| 0.1035
| 5.58
|}