709edo - Revision history

ArrowHead294 at 18:17, 20 February 2025

2025-02-20T18:17:59Z

← Older revision		Revision as of 18:17, 20 February 2025
Line 13:		Line 13:
	== 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]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\|1124 -709}}		\| {{monzo\|1124 -709}}
	\| {{mapping\| 709 1124}}		\| {{mapping\| 709 1124}}
	\| -0.1397		\| −0.1397
	\| 0.1397		\| 0.1397
	\| 8.25		\| 8.25

Francium: changed EDO intro to ED intro

2025-02-19T18:18:02Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:18, 19 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|709~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-02-02T12:56:16Z

+music

← Older revision		Revision as of 12:56, 2 February 2025
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	\| 8.25		\| 8.25
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "I Want To" from ''I Want To'' (2025) – [https://open.spotify.com/track/3cQr3wjIerzaq8SmQlz9Sl Spotify] \| [https://francium223.bandcamp.com/track/i-want-to Bandcamp] \| [https://www.youtube.com/watch?v=4B2-UzFxUqk YouTube]

Francium: Created page with "{{Infobox ET}} {{EDO intro|709}} == Theory == 709edo is only consistent to the 3-odd-limit. It can be used in the 2.3.11.13.17.19 subgroup, tempering out 2432/2..."

2024-10-26T17:41:57Z

Created page with "{{Infobox ET}} {{EDO intro|709}} == Theory == 709edo is only consistent to the 3-odd-limit. It can be used in the 2.3.11.13.17.19 subgroup, tempering out 2432/2..."

New page

{{Infobox ET}}
{{EDO intro|709}}

== Theory ==
709edo is only [[consistent]] to the [[3-odd-limit]]. It can be used in the 2.3.11.13.17.19 [[subgroup]], tempering out [[2432/2431]], 34816/34749, 25289/25272, 709631/708588 and 974651392/972714177.

=== Odd harmonics ===
{{Harmonics in equal|709}}

=== Subsets and supersets ===
709edo is the 127th [[prime EDO]]. [[2127edo]], which triples it, gives a good correction to the harmonics 5 and 7.

== 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|1124 -709}}
| {{mapping| 709 1124}}
| -0.1397
| 0.1397
| 8.25
|}