Francium: /* Music */ +music

2025-11-04T12:49:41Z

Music: +music

← Older revision		Revision as of 12:49, 4 November 2025
Line 84:		Line 84:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=dGRv7RqoQ2g ~~''have nice day''~~] ~~(2025)~~ – in Parakleismic, 925edo tuning		* "have nice day" from ''have nice day'' (2025) – [https://open.spotify.com/track/5pIu6dKeAFmwgJgA5s6RhH Spotify] \| [https://francium223.bandcamp.com/track/have-nice-day Bandcamp] \| [https://www.youtube.com/watch?v=dGRv7RqoQ2g YouTube] – in Parakleismic, 925edo tuning

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

2025-08-20T16:53:40Z

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

← Older revision		Revision as of 16:53, 20 August 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET\|debug=1}}
	{{ED intro}}		{{ED intro}}

Francium: +music

2025-08-20T11:33:38Z

+music

← Older revision		Revision as of 11:33, 20 August 2025
Line 81:		Line 81:
	\|}		\|}
	<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki>*</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]]
			* [https://www.youtube.com/watch?v=dGRv7RqoQ2g ''have nice day''] (2025) – in Parakleismic, 925edo tuning

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 925edo is consistent to the 17-limit, tempering out 160083/160000, 472392/471625, 172032/171875 and 180224/180075 in the 11-limit; 1716/1715, 4096/4095, 34398/34375, 40656/40625 and 39366/39325 in the 13-limit; and 1701/1700, 1716/1715, 4096/4095, 12376/12375, 14400/14399 and 11016/11011 in the 17-limit. It is a very strong 2.3.11.13.17 tuning system, tempering out 34992/34969, 1611..."

2025-08-19T12:30:59Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 925edo is consistent to the 17-limit, tempering out 160083/160000, 472392/471625, 172032/171875 and 180224/180075 in the 11-limit; 1716/1715, 4096/4095, 34398/34375, 40656/40625 and 39366/39325 in the 13-limit; and 1701/1700, 1716/1715, 4096/4095, 12376/12375, 14400/14399 and 11016/11011 in the 17-limit. It is a very strong 2.3.11.13.17 tuning system, tempering out 34992/34969, 1611..."

New page

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

== Theory ==
925edo is [[consistent]] to the [[17-limit]], [[tempering out]] [[160083/160000]], 472392/471625, 172032/171875 and 180224/180075 in the [[11-limit]]; [[1716/1715]], [[4096/4095]], 34398/34375, 40656/40625 and 39366/39325 in the [[13-limit]]; and [[1701/1700]], 1716/1715, 4096/4095, [[12376/12375]], [[14400/14399]] and [[11016/11011]] in the 17-limit. It is a very strong 2.3.11.13.17 tuning system, tempering out 34992/34969, 161109/161051, 243931419/243662848 and 1114112/1113879.

=== Prime harmonics ===
{{Harmonics in equal|925}}

=== Subsets and supersets ===
Since 925 factors into {{factorization|925}}, it has the subset edos {{EDOs|5, 25, 37, and 185}}.

== 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|-1466 925}}
| {{mapping|925 1466}}
| +0.0370
| 0.0370
| 2.85
|-
| 2.3.5
| {{monzo|8 14 -13}}, {{monzo|-122 55 15}}
| {{mapping|925 1466 2148}}
| −0.0157
| 0.0803
| 6.19
|-
| 2.3.5.7
| 2460375/2458624, 1640558367/1638400000, 2579890176/2573571875
| {{mapping|925 1466 2148 2597}}
| −0.0345
| 0.0768
| 5.92
|-
| 2.3.5.7.11
| 160083/160000, 472392/471625, 172032/171875, 180224/180075
| {{mapping|925 1466 2148 2597 3200}}
| −0.0295
| 0.0694
| 5.35
|-
| 2.3.5.7.11.13
| 1716/1715, 4096/4095, 34398/34375, 40656/40625, 39366/39325
| {{mapping|925 1466 2148 2597 3200 3423}}
| −0.0301
| 0.0634
| 4.89
|-
| 2.3.5.7.11.13.17
| 1701/1700, 1716/1715, 4096/4095, 12376/12375, 14400/14399, 11016/11011
| {{mapping|925 1466 2148 2597 3200 3423 3781}}
| −0.0302
| 0.0587
| 4.52
|}

=== 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
| 243\925
| 315.243
| 6/5
| [[Parakleismic]]
|}
<nowiki>*</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/925edo - Revision history

Francium: /* Music */ +music

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

Francium: +music