719edo - Revision history

ArrowHead294 at 13:11, 21 February 2025

2025-02-21T13:11:22Z

← Older revision		Revision as of 13:11, 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\|-2279 719}}		\| {{monzo\|-2279 719}}
	\| {{mapping\|719 2279}}		\| {{mapping\|719 2279}}
	\| 0.0464		\| +0.0464
	\| 0.0464		\| 0.0464
	\| 2.78		\| 2.78

Francium: changed EDO intro to ED intro

2025-02-21T05:39:49Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:39, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|719~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Lériendil: added references to hanson & marfifths

2025-01-30T05:35:05Z

added references to hanson & marfifths

← Older revision		Revision as of 05:35, 30 January 2025
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	== Theory ==		== Theory ==
	719edo is only [[consistent]] to the [[3-odd-limit]] and the error of its [[harmonic]] [[3/1\|3]] is quite large. Its harmonics [[5/1\|5]] and [[7/1\|7]] are also about halfway its steps. It can be used in the 2.9.15.21.11.17.19.23.29 [[subgroup]], [[temper out\|tempering out]] [[1701/1700]], [[3025/3024]], [[2376/2375]], 8625/8624, 21888/21875, 72171/72128, 2001/2000 and 116127/116000~~. It [[support]]s [[marfifths]]~~.		719edo is only [[consistent]] to the [[3-odd-limit]] and the error of its [[harmonic]] [[3/1\|3]] is quite large. Its harmonics [[5/1\|5]] and [[7/1\|7]] are also about halfway between its steps. Its distinction, however, is that it is the largest EDO to temper out the [[15625/15552\|kleisma (15625/15552)]] and therefore [[support]] [[hanson]] in its patent val; it also supports the extension [[marfifths]] that tempers out the hemimage comma, [[10976/10935]] in addition, and in fact is the [[optimal patent val]] for marfifths. For other purposes than tempering out the kleisma, it can be used in the 2.9.15.21.11.17.19.23.29 [[subgroup]], [[temper out\|tempering out]] [[1701/1700]], [[3025/3024]], [[2376/2375]], 8625/8624, 21888/21875, 72171/72128, 2001/2000 and 116127/116000.

	=== Odd harmonics ===		=== Odd harmonics ===

Francium: +music

2025-01-16T12:09:01Z

+music

← Older revision		Revision as of 12:09, 16 January 2025
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	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Mar-A-Lago & FBI-Raid" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3NhTTk12RA51RgPqtZ70lc Spotify] \| [https://francium223.bandcamp.com/track/mar-a-lago-fbi-raid Bandcamp] \| [https://www.youtube.com/watch?v=nE16ZpLWUqo YouTube] – in Marfifths, 719edo tuning

	{{todo\|inline=1\|explain its xenharmonic value}}		{{todo\|inline=1\|explain its xenharmonic value}}

BudjarnLambeth: Todo

2025-01-07T04:17:14Z

Todo

← Older revision		Revision as of 04:17, 7 January 2025
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	\| 2.78		\| 2.78
	\|}		\|}


			{{todo\|inline=1\|explain its xenharmonic value}}

Francium: Created page with "{{Infobox ET}} {{EDO intro|719}} == Theory == 719edo is only consistent to the 3-odd-limit and the error of its harmonic 3 is quite large. Its harmonics [..."

2024-11-11T14:46:17Z

Created page with "{{Infobox ET}} {{EDO intro|719}} == Theory == 719edo is only consistent to the 3-odd-limit and the error of its harmonic 3 is quite large. Its harmonics [..."

New page

{{Infobox ET}}
{{EDO intro|719}}

== Theory ==
719edo is only [[consistent]] to the [[3-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is quite large. Its harmonics [[5/1|5]] and [[7/1|7]] are also about halfway its steps. It can be used in the 2.9.15.21.11.17.19.23.29 [[subgroup]], [[temper out|tempering out]] [[1701/1700]], [[3025/3024]], [[2376/2375]], 8625/8624, 21888/21875, 72171/72128, 2001/2000 and 116127/116000. It [[support]]s [[marfifths]].

=== Odd harmonics ===
{{Harmonics in equal|719}}

=== Subsets and supersets ===
719edo is the 128th [[prime EDO]]. [[1438edo]], which doubles it, gives a good correction to the harmonics 3, 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]] (%)
|-
| 2.9
| {{monzo|-2279 719}}
| {{mapping|719 2279}}
| 0.0464
| 0.0464
| 2.78
|}