Francium: +music

2025-04-18T11:38:02Z

+music

← Older revision		Revision as of 11:38, 18 April 2025
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			== Music ==
			; [[Francium]]
			* "What Is Life Without a Little Risk?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/1rbhaXxQzYQJhmN03T6I98 Spotify] \| [https://francium223.bandcamp.com/track/what-is-life-without-a-little-risk Bandcamp] \| [https://www.youtube.com/watch?v=6eQGClLL0ow YouTube] – in Leapweek, 787edo tuning

Francium: changed EDO intro to ED intro

2025-02-19T18:14:39Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:14, 19 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|787~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|787}} == Theory == 787edo is consistent to the 7-odd-limit and the error of its harmonic 3 is large. The accuracy of the equal..."

2025-02-07T21:45:17Z

Created page with "{{Infobox ET}} {{EDO intro|787}} == Theory == 787edo is consistent to the 7-odd-limit and the error of its harmonic 3 is large. The accuracy of the equal..."

New page

{{Infobox ET}}
{{EDO intro|787}}

== Theory ==
787edo is [[consistent]] to the [[7-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is large. The accuracy of the equal temperament is higher in the upper harmonics, making it strong in the 2.17.19.23.31 [[subgroup]], [[tempering out]] 151604477/151519232, 573114368/572870539, 68939809/68876792 and 4127463571456/4124314002323. It can also be used in the 2.3.5.7.13.41.43.47 subgroup, tempering out [[729/728]], [[2401/2400]], [[1025/1024]], 8127/8125, 1601613/1600000, 40625/40608 and 546875/545792.

=== Odd harmonics ===
{{Harmonics in equal|787}}

=== Subsets and supersets ===
787edo is the 138th [[prime edo]]. [[1574edo]], which doubles it, gives a good correction to its 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|2495 -787}}
| {{mapping|787 2495}}
| –0.0647
| 0.0647
| 4.24
|}

787edo - Revision history

Francium: +music

Francium: changed EDO intro to ED intro

Francium: Created page with "{{Infobox ET}} {{EDO intro|787}} == Theory == 787edo is consistent to the 7-odd-limit and the error of its harmonic 3 is large. The accuracy of the equal..."