User:Francium/5413edo - Revision history

Francium: +music

2026-04-26T11:29:32Z

+music

← Older revision		Revision as of 11:29, 26 April 2026
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	\| 4.51		\| 4.51
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Artificial Gorilla Blood" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/7jvngwlo9OYUB34VFfG6ip Spotify] \| [https://francium223.bandcamp.com/track/artificial-gorilla-blood Bandcamp] \| [https://www.youtube.com/watch?v=hrS4KLSPimM YouTube] – in Godzilla, 5413edo tuning

Francium: /* Regular temperament properties */

2026-02-13T11:35:30Z

Regular temperament properties

@@ Line 35: / Line 35: @@
 | 0.0064
 | 2.89
 |}

Francium at 16:07, 11 February 2026

2026-02-11T16:07:26Z

← Older revision		Revision as of 16:07, 11 February 2026
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	5413edo is the 714th [[prime edo]].		5413edo is the 714th [[prime edo]]. [[10826edo]], which doubles it, gives a good correction to its harmonics 3 and [[5/1\|5]].

			== 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]] (%)
			\|-
			\| 2.9
			\| {{monzo\|17159 -5413}}
			\| {{mapping\|5413 17159}}
			\| −0.0069
			\| 0.0069
			\| 3.11
			\|-
			\| 2.9.15
			\| {{monzo\|200 -52 -9}}, {{monzo\|-49 -93 88}}
			\| {{mapping\|5413 17159 21148}}
			\| −0.0046
			\| 0.0064
			\| 2.89
			\|}

Francium: Created page with "{{Infobox ET}} {{ED intro}} == Theory == 5413edo is inconsistent to the 5-limit and its harmonic 3 is about halfway its steps. As a equal temperament, 5413edo is strong in the 2.9.15.11.19.23.31 subgroup, tempering out 178125/178112, 253952/253935, 173861875/173840256, 44921875/44914176, 14156615/14155776 and 484525998080/484404751413. === Odd harmonics === {{Harmonics in equal|5413}} === Subsets and supersets === 5413edo is the 714th pri..."

2026-02-11T15:47:52Z

Created page with "{{Infobox ET}} {{ED intro}} == Theory == 5413edo is inconsistent to the 5-limit and its harmonic 3 is about halfway its steps. As a equal temperament, 5413edo is strong in the 2.9.15.11.19.23.31 subgroup, tempering out 178125/178112, 253952/253935, 173861875/173840256, 44921875/44914176, 14156615/14155776 and 484525998080/484404751413. === Odd harmonics === {{Harmonics in equal|5413}} === Subsets and supersets === 5413edo is the 714th pri..."

New page

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

== Theory ==
5413edo is in[[consistent]] to the [[5-limit]] and its [[harmonic]] [[3/1|3]] is about halfway its steps. As a equal temperament, 5413edo is strong in the 2.9.15.11.19.23.31 [[subgroup]], [[tempering out]] 178125/178112, 253952/253935, 173861875/173840256, 44921875/44914176, 14156615/14155776 and 484525998080/484404751413.

=== Odd harmonics ===
{{Harmonics in equal|5413}}

=== Subsets and supersets ===
5413edo is the 714th [[prime edo]].