1489edo - Revision history

ArrowHead294 at 18:21, 20 February 2025

2025-02-20T18:21:13Z

← Older revision		Revision as of 18:21, 20 February 2025
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	== 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]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\|-2360 1489}}		\| {{monzo\|-2360 1489}}
	\| {{mapping\|1489 2360}}		\| {{mapping\|1489 2360}}
	\| 0.0023		\| +0.0023
	\| 0.0023		\| 0.0023
	\| 0.29		\| 0.29
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	\| {{monzo\|54 -37 2}}, {{monzo\|-73 -14 41}}		\| {{monzo\|54 -37 2}}, {{monzo\|-73 -14 41}}
	\| {{mapping\|1489 2360 3457}}		\| {{mapping\|1489 2360 3457}}
	\| 0.0422		\| +0.0422
	\| 0.0564		\| 0.0564
	\| 7.00		\| 7.00
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	\| 420175/419904, 703125/702464, {{monzo\|49 -27 7 -8}}		\| 420175/419904, 703125/702464, {{monzo\|49 -27 7 -8}}
	\| {{mapping\|1489 2360 3457 4180}}		\| {{mapping\|1489 2360 3457 4180}}
	\| 0.0425		\| +0.0425
	\| 0.0488		\| 0.0488
	\| 6.06		\| 6.06
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	\| 3025/3024, 759375/758912, 420175/419904, 32768000000/32750405919		\| 3025/3024, 759375/758912, 420175/419904, 32768000000/32750405919
	\| {{mapping\|1489 2360 3457 4180 5151}}		\| {{mapping\|1489 2360 3457 4180 5151}}
	\| 0.0384		\| +0.0384
	\| 0.0444		\| 0.0444
	\| 5.51		\| 5.51
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	\| 3025/3024, 4225/4224, 91125/91091, 256000/255879, 420175/419904		\| 3025/3024, 4225/4224, 91125/91091, 256000/255879, 420175/419904
	\| {{mapping\|1489 2360 3457 4180 5151 5510}}		\| {{mapping\|1489 2360 3457 4180 5151 5510}}
	\| 0.0303		\| +0.0303
	\| 0.0444		\| 0.0444
	\| 5.51		\| 5.51
Line 60:		Line 61:
	\| 3025/3024, 2500/2499, 4225/4224, 56595/56576, 57375/57344, 256000/255879		\| 3025/3024, 2500/2499, 4225/4224, 56595/56576, 57375/57344, 256000/255879
	\| {{mapping\|1489 2360 3457 4180 5151 5510 6086}}		\| {{mapping\|1489 2360 3457 4180 5151 5510 6086}}
	\| 0.0325		\| +0.0325
	\| 0.0414		\| 0.0414
	\| 5.14		\| 5.14

Francium: changed EDO intro to ED intro

2025-02-19T18:13:26Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:13, 19 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1489~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-02-11T12:40:36Z

+music

← Older revision		Revision as of 12:40, 11 February 2025
Line 64:		Line 64:
	\| 5.14		\| 5.14
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Hum During Funerals" from ''I Want To'' (2025) – [https://open.spotify.com/track/04UFLrEWXC3lMYCApQGJd1 Spotify] \| [https://francium223.bandcamp.com/track/hum-during-funerals Bandcamp] \| [https://www.youtube.com/watch?v=0sMj7ylaVO0 YouTube] – in Meranic, 1489edo tuning

FloraC: /* Theory */ cleanup; request explanation

2025-01-17T16:46:17Z

Theory: cleanup; request explanation

← Older revision		Revision as of 16:46, 17 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	1489edo is [[consistent]] to the [[21-odd-limit]]. ~~In the 19-limit~~, it [[tempers out]] [[3025/3024]], [[~~2500~~/~~2499~~]], [[~~5985~~/~~5984~~]], [[~~4225~~/~~4224~~]], [[~~6175~~/~~6174~~]], [[57375/57344]] ~~and~~ [[~~256000~~/~~255879~~]]. Using the 2.3.11.17.19.37 [[subgroup]], it tempers out [[3553/3552]]. It [[support]]s [[qak]].		1489edo is [[consistent]] to the [[21-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[3025/3024]] in the 11-limit; [[4225/4224]] and [[256000/255879]] in the 13-limit; [[2500/2499]], [[5985/5984]], and [[57375/57344]] in the 17-limit; [[6175/6174]] in the 19-limit. Using the 2.3.11.17.19.37 [[subgroup]]<!-- explain why this subgroup is good to consider -->, it tempers out [[3553/3552]]. It [[support]]s [[qak]].

	=== Prime harmonics ===		=== Prime harmonics ===

Francium: Created page with "{{Infobox ET}} {{EDO intro|1489}} == Theory == 1489edo is consistent to the 21-odd-limit. In the 19-limit, it tempers out 3025/3024, 2500/2499, 5985/598..."

2024-12-22T18:19:44Z

Created page with "{{Infobox ET}} {{EDO intro|1489}} == Theory == 1489edo is consistent to the 21-odd-limit. In the 19-limit, it tempers out 3025/3024, 2500/2499, 5985/598..."

New page

{{Infobox ET}}
{{EDO intro|1489}}

== Theory ==
1489edo is [[consistent]] to the [[21-odd-limit]]. In the 19-limit, it [[tempers out]] [[3025/3024]], [[2500/2499]], [[5985/5984]], [[4225/4224]], [[6175/6174]], [[57375/57344]] and [[256000/255879]]. Using the 2.3.11.17.19.37 [[subgroup]], it tempers out [[3553/3552]]. It [[support]]s [[qak]].

=== Prime harmonics ===
{{Harmonics in equal|1489}}

=== Subsets and supersets ===
1489edo is the 237th [[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|-2360 1489}}
| {{mapping|1489 2360}}
| 0.0023
| 0.0023
| 0.29
|-
| 2.3.5
| {{monzo|54 -37 2}}, {{monzo|-73 -14 41}}
| {{mapping|1489 2360 3457}}
| 0.0422
| 0.0564
| 7.00
|-
| 2.3.5.7
| 420175/419904, 703125/702464, {{monzo|49 -27 7 -8}}
| {{mapping|1489 2360 3457 4180}}
| 0.0425
| 0.0488
| 6.06
|-
| 2.3.5.7.11
| 3025/3024, 759375/758912, 420175/419904, 32768000000/32750405919
| {{mapping|1489 2360 3457 4180 5151}}
| 0.0384
| 0.0444
| 5.51
|-
| 2.3.5.7.11.13
| 3025/3024, 4225/4224, 91125/91091, 256000/255879, 420175/419904
| {{mapping|1489 2360 3457 4180 5151 5510}}
| 0.0303
| 0.0444
| 5.51
|-
| 2.3.5.7.11.13.17
| 3025/3024, 2500/2499, 4225/4224, 56595/56576, 57375/57344, 256000/255879
| {{mapping|1489 2360 3457 4180 5151 5510 6086}}
| 0.0325
| 0.0414
| 5.14
|}