Francium: +music

2025-10-20T12:18:12Z

+music

← Older revision		Revision as of 12:18, 20 October 2025
Line 93:		Line 93:
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

			== Music ==
			; [[Francium]]
			* "STOP ACTING SO SPECIAL YOU'RE A DO SI DO" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/3FZFZ5lBnLL0jZAv3ndhwC Spotify] \| [https://francium223.bandcamp.com/track/stop-acting-so-special-youre-a-do-si-do Bandcamp] \| [https://www.youtube.com/watch?v=se9MXY6UHr0 YouTube] – in Tridecimal Olympic, 1699edo tuning

FloraC: Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

2025-08-01T14:43:35Z

Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"

← Older revision		Revision as of 14:43, 1 August 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET\|debug=1}}
	{{ED intro}}		{{ED intro}}

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1699edo is consistent to the 17-limit, tempering out 4375/4374, 131072/130977, 820125/819896 and 3294225/3294172 in the 11-limit, 2080/2079, 4096/4095, 4375/4374, 225000/224939 and 3132421875/3132286976 in the 13-limit; and 2080/2079, 4096/4095, 4375/4374, 2500/2499, 31213/31212 and 224939/224910 in the 17-limit. As an equal temperament, it supports tridecimal olympic. === Prime harmon..."

2025-07-31T20:20:12Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 1699edo is consistent to the 17-limit, tempering out 4375/4374, 131072/130977, 820125/819896 and 3294225/3294172 in the 11-limit, 2080/2079, 4096/4095, 4375/4374, 225000/224939 and 3132421875/3132286976 in the 13-limit; and 2080/2079, 4096/4095, 4375/4374, 2500/2499, 31213/31212 and 224939/224910 in the 17-limit. As an equal temperament, it supports tridecimal olympic. === Prime harmon..."

New page

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

== Theory ==
1699edo is [[consistent]] to the [[17-limit]], [[tempering out]] [[4375/4374]], [[131072/130977]], 820125/819896 and 3294225/3294172 in the 11-limit, [[2080/2079]], [[4096/4095]], 4375/4374, 225000/224939 and 3132421875/3132286976 in the 13-limit; and 2080/2079, 4096/4095, 4375/4374, [[2500/2499]], [[31213/31212]] and 224939/224910 in the 17-limit. As an equal temperament, it [[support]]s [[tridecimal olympic]].

=== Prime harmonics ===
{{Harmonics in equal|1699}}

=== Subsets and supersets ===
1699edo is the 266th [[prime edo]].

== 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|2693 -1699}}
| {{mapping|1699 2693}}
| −0.0331
| 0.0331
| 4.69
|-
| 2.3.5
| {{monzo|77 -31 -12}}, {{monzo|-13 -46 37}}
| {{mapping|1699 2693 3945}}
| −0.0266
| 0.0286
| 4.05
|-
| 2.3.5.7
| 4375/4374, 52734375/52706752, {{monzo|72 -21 -7 -8}}
| {{mapping|1699 2693 3945 4770}}
| −0.0390
| 0.0329
| 4.66
|-
| 2.3.5.7.11
| 4375/4374, 131072/130977, 820125/819896, 3294225/3294172
| {{mapping|1699 2693 3945 4770 5878}}
| −0.0486
| 0.0351
| 4.97
|-
| 2.3.5.7.11.13
| 2080/2079, 4096/4095, 4375/4374, 225000/224939, 3132421875/3132286976
| {{mapping|1699 2693 3945 4770 5878 6287}}
| −0.0390
| 0.0386
| 5.47
|-
| 2.3.5.7.11.13.17
| 2080/2079, 4096/4095, 4375/4374, 2500/2499, 31213/31212, 224939/224910
| {{mapping|1699 2693 3945 4770 5878 6287 6945}}
| −0.0433
| 0.0372
| 5.27
|}

=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
| 1
| 263\1699
| 185.756
| {{monzo|24 4 -13}}
| [[Pirate]]
|-
| 1
| 366\1699
| 258.505
| {{monzo|-32 13 5}}
| [[Lafa]]
|-
| 1
| 616\1699
| 435.079
| 9/7
| [[Supermajor]]
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct

User:Francium/1699edo - Revision history

Francium: +music

FloraC: Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}"