Francium: +music

2025-11-07T12:18:16Z

+music

← Older revision		Revision as of 12:18, 7 November 2025
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			== Music ==
			; [[Francium]]
			* "not my door catching on fire" from ''have nice day'' (2025) – [https://open.spotify.com/track/00whS6FlS9fEoVNWCa0qvu Spotify] \| [https://francium223.bandcamp.com/track/not-my-door-catching-on-fire Bandcamp] \| [https://www.youtube.com/watch?v=b191XulRbGE YouTube] – in Noellic, 1747edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1747edo is consistent to the 5-limit, tempering out {{monzo|39 -29 3}} and {{monzo|-78 -46 65}}. Its lower harmonics have a higher error than its higher ones, while the harmonics 5 and 7 are about halfway its steps, its harmonic 31 has a relative error of only 1.9 percent. 1747edo is strong in the 2.3.19.29.31 subgroup, tempering out 191153471/191102976, 3122289/3121792, 324547248128/3..."

2025-09-10T09:46:06Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1747edo is consistent to the 5-limit, tempering out {{monzo|39 -29 3}} and {{monzo|-78 -46 65}}. Its lower harmonics have a higher error than its higher ones, while the harmonics 5 and 7 are about halfway its steps, its harmonic 31 has a relative error of only 1.9 percent. 1747edo is strong in the 2.3.19.29.31 subgroup, tempering out 191153471/191102976, 3122289/3121792, 324547248128/3..."

New page

{{Infobox ET}}
{{ED intro}}

== Theory ==
1747edo is [[consistent]] to the [[5-limit]], [[tempering out]] {{monzo|39 -29 3}} and {{monzo|-78 -46 65}}. Its lower [[harmonic]]s have a higher error than its higher ones, while the harmonics [[5/1|5]] and [[7/1|7]] are about halfway its steps, its harmonic [[31/1|31]] has a relative error of only 1.9 percent. 1747edo is strong in the 2.3.19.29.31 [[subgroup]], tempering out 191153471/191102976, 3122289/3121792, 324547248128/324270949293 and 1870256930816/1869963909147. Using the 2.3.5.7.17 subgroup, it tempers out [[1225/1224]].

=== Prime harmonics ===
{{Harmonics in equal|1747}}

=== Subsets and supersets ===
1747edo is the 272nd [[prime edo]]. [[3494edo]], which doubles 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|2769 -1747}}
| {{mapping|1747 2769}}
| −0.0153
| 0.0153
| 2.23
|}

User:Francium/1747edo - Revision history

Francium: +music