Francium: +music

2025-10-22T12:00:22Z

+music

← Older revision		Revision as of 12:00, 22 October 2025
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	\|}		\|}
	<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]]
			* "RACCOON SCHOOL?!" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/7hjs6QSopSBSPN1R7F1oXW Spotify] \| [https://francium223.bandcamp.com/track/raccoon-school Bandcamp] \| [https://www.youtube.com/watch?v=roOm3bUYCRY YouTube]

Francium: /* Regular temperament properties */

2025-09-08T11:25:35Z

Regular temperament properties

← Older revision		Revision as of 11:25, 8 September 2025
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	\| 12376/12375, 14400/14399, 13377/13376, 89376/89375, 61965/61952, 104976/104975, 28900/28899		\| 12376/12375, 14400/14399, 13377/13376, 89376/89375, 61965/61952, 104976/104975, 28900/28899
	\| {{mapping\|4703 7454 10920 13203 16270 17403 19223 19978}}		\| {{mapping\|4703 7454 10920 13203 16270 17403 19223 19978}}
	\| 0.0033		\| +0.0033
	\| 0.0119		\| 0.0119
	\| 4.66		\| 4.66

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 4703edo is consistent to the 15-odd-limit, tempering out 6656/6655, 1990656/1990625, 4100625/4100096, 151263/151250 and 109772091/109760000 in the 13-limit; 12376/12375, 14400/14399, 61965/61952, 194481/194480, 1990656/1990625 and 109772091/109760000 in the 17-limit; and 12376/12375, 14400/14399, 13377/13376, 89376/89375, 61965/61952, 104976/104975 and 28900/28899 in the 1..."

2025-09-08T11:25:06Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 4703edo is consistent to the 15-odd-limit, tempering out 6656/6655, 1990656/1990625, 4100625/4100096, 151263/151250 and 109772091/109760000 in the 13-limit; 12376/12375, 14400/14399, 61965/61952, 194481/194480, 1990656/1990625 and 109772091/109760000 in the 17-limit; and 12376/12375, 14400/14399, 13377/13376, 89376/89375, 61965/61952, 104976/104975 and 28900/28899 in the 1..."

New page

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

== Theory ==
4703edo is [[consistent]] to the [[15-odd-limit]], [[tempering out]] [[6656/6655]], [[1990656/1990625]], 4100625/4100096, [[151263/151250]] and 109772091/109760000 in the [[13-limit]]; [[12376/12375]], [[14400/14399]], 61965/61952, [[194481/194480]], [[1990656/1990625]] and 109772091/109760000 in the [[17-limit]]; and [[12376/12375]], [[14400/14399]], 13377/13376, 89376/89375, 61965/61952, 104976/104975
and 28900/28899 in the [[19-limit]]. It is strong in the 2.3.5.7.13.19.29 [[subgroup]], tempering out 27000/26999, 23751/23750, [[1990656/1990625]], 570807/570752, 16385733/16384000 and 12252500/12252303. Using the 2.3.5.7.13.19 subgroup, it tempers out 12636/12635. Its error of the [[harmonic]] [[19/1|19]] is remarkably low at 0.3 percent. The equal temperament [[support]]s [[laquinzo-aquadquadgu]].

=== Prime harmonics ===
{{Harmonics in equal|4703}}

=== Subsets and supersets ===
4703edo is the 635th [[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|-7454 4703}}
| {{mapping|4703 7454}}
| +0.0063
| 0.0063
| 2.47
|-
| 2.3.5
| {{monzo|-90 -15 49}}, {{monzo|-86 107 -36}}
| {{mapping|4703 7454 10920}}
| +0.0052
| 0.0054
| 2.12
|-
| 2.3.5.7
| 94143178827/94119200000, 3955078125/3954653486, 281484423828125/281474976710656
| {{mapping|4703 7454 10920 13203}}
| +0.0037
| 0.0054
| 2.12
|-
| 2.3.5.7.11
| 151263/151250, 820125/819896, 1019215872/1019046875, 15625959723/15625000000
| {{mapping|4703 7454 10920 13203 16270}}
| −0.0014
| 0.0112
| 4.39
|-
| 2.3.5.7.11.13
| 6656/6655, 1990656/1990625, 4100625/4100096, 151263/151250, 109772091/109760000
| {{mapping|4703 7454 10920 13203 16270 17403}}
| +0.0008
| 0.0113
| 4.43
|-
| 2.3.5.7.11.13.17
| 12376/12375, 14400/14399, 61965/61952, 194481/194480, 1990656/1990625, 109772091/109760000
| {{mapping|4703 7454 10920 13203 16270 17403 19223}}
| +0.0037
| 0.0127
| 4.98
|-
| 2.3.5.7.11.13.17.19
| 12376/12375, 14400/14399, 13377/13376, 89376/89375, 61965/61952, 104976/104975, 28900/28899
| {{mapping|4703 7454 10920 13203 16270 17403 19223 19978}}
| 0.0033
| 0.0119
| 4.66
|}

=== 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
| 728\4703
| 185.7538
| {{monzo|24 4 -13}}
| [[Pirate]]
|}
<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/4703edo - Revision history

Francium: +music

Francium: /* Regular temperament properties */