10009edo - Revision history

ArrowHead294 at 13:20, 21 February 2025

2025-02-21T13:20:15Z

← Older revision		Revision as of 13:20, 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" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve stretch (¢)		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	! colspan="2" \| Tuning error		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
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	\| {{monzo\| 15864 -10009 }}		\| {{monzo\| 15864 -10009 }}
	\| {{mapping\| 10009 15864 }}		\| {{mapping\| 10009 15864 }}
	\| -0.0042		\| −0.0042
	\| 0.0042		\| 0.0042
	\| 3.50		\| 3.50
Line 39:		Line 40:
	\| {{monzo\| -2 -3 15 -10 }}, {{monzo\| -48 0 11 8 }}, {{monzo\| 5 -44 17 9 }}		\| {{monzo\| -2 -3 15 -10 }}, {{monzo\| -48 0 11 8 }}, {{monzo\| 5 -44 17 9 }}
	\| {{mapping\| 10009 15864 23240 28099 }}		\| {{mapping\| 10009 15864 23240 28099 }}
	\| -0.0018		\| −0.0018
	\| 0.0071		\| 0.0071
	\| 5.92		\| 5.92

Francium: changed EDO intro to ED intro

2025-02-21T05:37:13Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:37, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-02-09T12:57:53Z

+music

← Older revision		Revision as of 12:57, 9 February 2025
Line 43:		Line 43:
	\| 5.92		\| 5.92
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Talk About Mysterious Spores" from ''I Want To'' (2025) – [https://open.spotify.com/track/7ehzG411SSH8wIFE5rgato Spotify] \| [https://francium223.bandcamp.com/track/talk-about-mysterious-spores Bandcamp] \| [https://www.youtube.com/watch?v=aqHszj-UQr4 YouTube]

FloraC: Was this a joke?

2024-12-20T12:12:39Z

Was this a joke?

← Older revision		Revision as of 12:12, 20 December 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro~~\|10009~~}}		{{EDO intro}}

	== Theory ==		== Theory ==
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	10009edo is the 1231st [[prime edo]]. [[~~50045edo~~]], which ~~quintuples~~ it, gives a good correction to the [[harmonic]] [[11/1\|11]].		10009edo is the 1231st [[prime edo]]. [[20018edo]], which doubles it, gives a good correction to the [[harmonic]] [[11/1\|11]].

	== 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" \| [[Subgroup]]
	! rowspan="2" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| Optimal<br>8ve stretch (¢)
	! colspan="2" \|Tuning ~~Error~~		! colspan="2" \| Tuning error
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\|15864 -10009}}		\| {{monzo\| 15864 -10009 }}
	\| {{mapping\|10009 15864}}		\| {{mapping\| 10009 15864 }}
	\| -0.0042		\| -0.0042
	\| 0.0042		\| 0.0042
Line 30:		Line 30:
	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{monzo\|56 -91 38}}, {{monzo\|-304 79 77}}		\| {{monzo\| 56 -91 38 }}, {{monzo\| -304 79 77 }}
	\| {{mapping\|10009 15864 23240}}		\| {{mapping\| 10009 15864 23240 }}
	\| +0.0003		\| +0.0003
	\| 0.0072		\| 0.0072
Line 37:		Line 37:
	\|-		\|-
	\| 2.3.5.7		\| 2.3.5.7
	\| {{monzo\|-2 -3 15 -10}}, {{monzo\|-48 0 11 8}}, {{monzo\|5 -44 17 9}}		\| {{monzo\| -2 -3 15 -10 }}, {{monzo\| -48 0 11 8 }}, {{monzo\| 5 -44 17 9 }}
	\| {{mapping\|10009 15864 23240 28099}}		\| {{mapping\| 10009 15864 23240 28099 }}
	\| -0.0018		\| -0.0018
	\| 0.0071		\| 0.0071
	\| 5.92		\| 5.92
	\|}		\|}

Francium: Created page with "{{Infobox ET}} {{EDO intro|10009}} == Theory == 10009edo is consistent to the 9-odd-limit. It can be used in the 2.3.5.7.13.19.29.31.41.47 subgroup, tempering o..."

2024-12-19T19:46:36Z

Created page with "{{Infobox ET}} {{EDO intro|10009}} == Theory == 10009edo is consistent to the 9-odd-limit. It can be used in the 2.3.5.7.13.19.29.31.41.47 subgroup, tempering o..."

New page

{{Infobox ET}}
{{EDO intro|10009}}

== Theory ==
10009edo is [[consistent]] to the [[9-odd-limit]]. It can be used in the 2.3.5.7.13.19.29.31.41.47 [[subgroup]], [[tempering out]] 60025/60021, 138240/138229, [[140625/140608]], 482125/482112, 4751360/4750893, 739375/739328, 5137600/5137263, 19552/19551 and 103936/103935. Using the 2.3.7.13.23.31 subgroup, it tempers out [[8464/8463]].

=== Prime harmonics ===
{{Harmonics in equal|10009}}

=== Subsets and supersets ===
10009edo is the 1231st [[prime edo]]. [[50045edo]], which quintuples it, gives a good correction to the [[harmonic]] [[11/1|11]].

== 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]] (%)
|-
| 2.3
| {{monzo|15864 -10009}}
| {{mapping|10009 15864}}
| -0.0042
| 0.0042
| 3.50
|-
| 2.3.5
| {{monzo|56 -91 38}}, {{monzo|-304 79 77}}
| {{mapping|10009 15864 23240}}
| +0.0003
| 0.0072
| 6.01
|-
| 2.3.5.7
| {{monzo|-2 -3 15 -10}}, {{monzo|-48 0 11 8}}, {{monzo|5 -44 17 9}}
| {{mapping|10009 15864 23240 28099}}
| -0.0018
| 0.0071
| 5.92
|}