2153edo - Revision history

Francium: /* Music */ typo

2025-03-01T17:28:07Z

Music: typo

← Older revision		Revision as of 17:28, 1 March 2025
Line 61:		Line 61:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "bonjo" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/7mo4SyOxXhsRFikf1DXWIn Spotify] \| [https://francium223.bandcamp.com/track/bonjo Bandcamp] \| [https://www.youtube.com/watch?v=g-QK5rHW9jc YouTube] - in Jouvic, 2153edo tuning		* "bonjo" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/7mo4SyOxXhsRFikf1DXWIn Spotify] \| [https://francium223.bandcamp.com/track/bonjo Bandcamp] \| [https://www.youtube.com/watch?v=g-QK5rHW9jc YouTube] – in Jouvic, 2153edo tuning

Francium: +music

2025-03-01T17:27:43Z

+music

← Older revision		Revision as of 17:27, 1 March 2025
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	\| 4.18		\| 4.18
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "bonjo" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/7mo4SyOxXhsRFikf1DXWIn Spotify] \| [https://francium223.bandcamp.com/track/bonjo Bandcamp] \| [https://www.youtube.com/watch?v=g-QK5rHW9jc YouTube] - in Jouvic, 2153edo tuning

ArrowHead294 at 13:05, 21 February 2025

2025-02-21T13:05:20Z

← Older revision		Revision as of 13:05, 21 February 2025
Line 13:		Line 13:
	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		\|-
	! rowspan="2" \|[[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
	![[TE error\|Absolute]] (¢)		\|-
	![[TE simple badness\|Relative]] (%)		! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.9		\| 2.9
	\| {{monzo\|6825 -2153}}		\| {{monzo\|6825 -2153}}
	\| {{mapping\|2153 6825}}		\| {{mapping\|2153 6825}}
	\| -0.0133		\| −0.0133
	\| 0.0133		\| 0.0133
	\| 2.39		\| 2.39

Francium: changed EDO intro to ED intro

2025-02-21T05:46:06Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:46, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2153~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|2153}} == Theory == 2153edo is consistent to the 7-odd-limit and the error of its harmonic 3 is quite large. It can be used in..."

2024-12-10T12:59:51Z

Created page with "{{Infobox ET}} {{EDO intro|2153}} == Theory == 2153edo is consistent to the 7-odd-limit and the error of its harmonic 3 is quite large. It can be used in..."

New page

{{Infobox ET}}
{{EDO intro|2153}}

== Theory ==
2153edo is [[consistent]] to the [[7-odd-limit]] and the error of its [[harmonic]] [[3/1|3]] is quite large. It can be used in the 2.9.5.7.11.13.17.19.23.29 [[subgroup]], [[tempering out]] [[12376/12375]], 10241/10240, [[2737/2736]], [[25025/25024]], 131648/131625, 104272/104247, [[194481/194480]], 145775/145728 and [[25840/25839]]. Using the 2.5.7.11.13.23.37 subgroup, it tempers out [[77441/77440]].

=== Odd harmonics ===
{{Harmonics in equal|2153}}

=== Subsets and supersets ===
2153edo is the 325th [[prime edo]]. [[4306edo]], which doubles it, gives a good correction to the harmonic 3.

== 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|6825 -2153}}
| {{mapping|2153 6825}}
| -0.0133
| 0.0133
| 2.39
|-
| 2.9.5
| {{monzo|-53 5 16}}, {{monzo|92 -103 101}}
| {{mapping|2153 6825 4999}}
| +0.0000
| 0.0218
| 3.91
|-
| 2.9.5.7
| 420175/419904, {{monzo|47 -9 -14 5}}, {{monzo|1 -8 25 -12}}
| {{mapping|2153 6825 4999 6044}}
| +0.0117
| 0.0276
| 4.95
|-
| 2.9.5.7.11
| 420175/419904, 151263/151250, 184549376/184528125, 781258401/781250000
| {{mapping|2153 6825 4999 6044 7448}}
| +0.0144
| 0.0253
| 4.54
|-
| 2.9.5.7.11.13
| 10648/10647, 1146880/1146717, 105644/105625, 1890625/1889568, 140625/140608
| {{mapping|2153 6825 4999 6044 7448 7967}}
| +0.0132
| 0.0233
| 4.18
|}