Francium: /* Music */ +links

2025-08-12T11:19:29Z

Music: +links

← Older revision		Revision as of 11:19, 12 August 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=LnzVjXYfCnA ~~''Holy Carp''~~] ~~(2025)~~		* "Holy Carp" from ''Holy Carp'' (2025) – [https://open.spotify.com/track/6eIqqpg5JmeaI2kMSYzKWR Spotify] \| [https://francium223.bandcamp.com/track/holy-carp Bandcamp] \| [https://www.youtube.com/watch?v=LnzVjXYfCnA YouTube]

Francium: +music

2025-05-25T11:39:22Z

+music

← Older revision		Revision as of 11:39, 25 May 2025
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	\| 7.47		\| 7.47
	\|}		\|}

			== Music ==
			; [[Francium]]
			* [https://www.youtube.com/watch?v=LnzVjXYfCnA ''Holy Carp''] (2025)

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 800edo is consistent to the 11-odd-limit, tempering out 5632/5625, 9801/9800, 2401/2400 and 46656/46585 using the patent val. It shares its harmonic 3 with 200edo and 400edo, but due to sharing the harmonics until the 19-limit with 400edo, its harmonics 5 and 11 are about halfway its steps. 800edo enhances the quality of the harmonic 23, making it a str..."

2025-05-23T15:39:05Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 800edo is consistent to the 11-odd-limit, tempering out 5632/5625, 9801/9800, 2401/2400 and 46656/46585 using the patent val. It shares its harmonic 3 with 200edo and 400edo, but due to sharing the harmonics until the 19-limit with 400edo, its harmonics 5 and 11 are about halfway its steps. 800edo enhances the quality of the harmonic 23, making it a str..."

New page

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

== Theory ==
800edo is [[consistent]] to the [[11-odd-limit]], [[tempering out]] [[5632/5625]], [[9801/9800]], [[2401/2400]] and 46656/46585 using the [[patent val]]. It shares its [[harmonic]] [[3/1|3]] with [[200edo]] and [[400edo]], but due to sharing the harmonics until the [[19-limit]] with 400edo, its harmonics [[5/1|5]] and [[11/1|11]] are about halfway its steps. 800edo enhances the quality of the harmonic [[23/1|23]], making it a strong 2.3.7.17.23.41.43 subgroup tuning, tempering out [[5832/5831]], 6273/6272, 352256/352107, 16813/16807, 1896129/1895936 and 871235584/870913701.

=== Prime harmonics ===
{{Harmonics in equal|800}}

=== Subsets and supersets ===
Since 800 factores into {{factorization|800}}, 800edo has subset edos {{EDOs|2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, and 400}}. [[1600edo]], which doubles it, gives a good correction to the harmonics 5 and 11.

== 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|317 -200}}
| {{mapping|800 1268}}
| −0.0142
| 0.0142
| 0.95
|-
| 2.3.5
| {{monzo|-7 22 -12}}, {{monzo|47 -15 -10}}
| {{mapping|800 1268 1858}}
| −0.1080
| 0.1331
| 8.87
|-
| 2.3.5.7
| 2401/2400, 1959552/1953125, 14348907/14336000
| {{mapping|800 1268 1858 2246}}
| −0.0965
| 0.1170
| 7.80
|-
| 2.3.5.7.11
| 5632/5625, 9801/9800, 2401/2400, 46656/46585
| {{mapping|800 1268 1858 2246 2768}}
| −0.1166
| 0.1121
| 7.47
|}

800edo - Revision history

Francium: /* Music */ +links

Francium: +music