1019edo - Revision history

ArrowHead294 at 18:18, 20 February 2025

2025-02-20T18:18:24Z

← Older revision		Revision as of 18:18, 20 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" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	! colspan="2" \| Tuning ~~Error~~		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
Line 39:		Line 40:
	\| 703125/702464, 14348907/14336000, 283115520/282475249		\| 703125/702464, 14348907/14336000, 283115520/282475249
	\| {{mapping\| 1019 1615 2366 2861 }}		\| {{mapping\| 1019 1615 2366 2861 }}
	\| -0.0121		\| −0.0121
	\| 0.0700		\| 0.0700
	\| 5.94		\| 5.94
Line 53:		Line 54:
	\| 1716/1715, 3025/3024, 4096/4095, 216513/216320, 540000/539539		\| 1716/1715, 3025/3024, 4096/4095, 216513/216320, 540000/539539
	\| {{mapping\| 1019 1615 2366 2861 3525 3771 }}		\| {{mapping\| 1019 1615 2366 2861 3525 3771 }}
	\| -0.0123		\| −0.0123
	\| 0.0692		\| 0.0692
	\| 5.88		\| 5.88
Line 60:		Line 61:
	\| 1275/1274, 1716/1715, 2500/2499, 3025/3024, 4096/4095, 3536379/3536000		\| 1275/1274, 1716/1715, 2500/2499, 3025/3024, 4096/4095, 3536379/3536000
	\| {{mapping\| 1019 1615 2366 2861 3525 3771 4165 }}		\| {{mapping\| 1019 1615 2366 2861 3525 3771 4165 }}
	\| -0.0054		\| −0.0054
	\| 0.0662		\| 0.0662
	\| 5.62		\| 5.62

Francium: changed EDO intro to ED intro

2025-02-19T18:17:44Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:17, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1019~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2025-02-03T14:56:45Z

+music

← Older revision		Revision as of 14:56, 3 February 2025
Line 64:		Line 64:
	\| 5.62		\| 5.62
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Enjoy to Read Many Books" from ''I Want To'' (2025) – [https://open.spotify.com/track/1HVplNgMA7SoxFnfKVko58 Spotify] \| [https://francium223.bandcamp.com/track/enjoy-to-read-many-books Bandcamp] \| [https://www.youtube.com/watch?v=USNzpQnR2CQ YouTube] – in Manheimic, 1019edo tuning

FloraC: It's best to present nullity-1 temps in terms of commas. Sorting comma lists.

2024-11-14T14:42:12Z

It's best to present nullity-1 temps in terms of commas. Sorting comma lists.

← Older revision		Revision as of 14:42, 14 November 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	1019edo is [[consistent]] to the [[17-odd-limit]], [[~~temper~~ out\|~~tempering~~ out]] [[~~1275~~/~~1274~~]], [[~~3025~~/~~3024~~]], [[1716/1715]], [[4096/4095]], [[2500/2499]] and 3536379/3536000. Using the 2.3.5.11.17.29.43 [[subgroup]], it tempers out [[17545/17544~~]]. It [[support]]s [[tritomere~~]].		1019edo is [[consistent]] to the [[17-odd-limit]]. As an equal temperament, it [[tempering out\|tempers out]] [[3025/3024]] and [[1771561/1771470]] in the 11-limit; [[1716/1715]] and [[4096/4095]] in the 13-limit; and [[1275/1274]], [[2500/2499]] and 3536379/3536000 in the 17-limit. Using the 2.3.5.11.17.29.43 [[subgroup]], it tempers out [[17545/17544]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	1019edo is the 171st [[prime ~~EDO~~]].		1019edo is the 171st [[prime edo]].

	== 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" \| [[Subgroup]]
	! rowspan="2" \|[[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|Comma List]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \|Optimal<br>8ve Stretch (¢)		! rowspan="2" \| Optimal<br>8ve Stretch (¢)
	! colspan="2" \|Tuning Error		! colspan="2" \| Tuning Error
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\|-1615 1019}}		\| {{monzo\| -1615 1019 }}
	\| {{mapping\|1019 1615}}		\| {{mapping\| 1019 1615 }}
	\| +0.0285		\| +0.0285
	\| 0.0285		\| 0.0285
Line 30:		Line 30:
	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{monzo\|-31 43 -16}}, {{monzo\|-68 18 17}}		\| {{monzo\| -31 43 -16 }}, {{monzo\| -68 18 17 }}
	\| {{mapping\|1019 1615 2366}}		\| {{mapping\| 1019 1615 2366 }}
	\| +0.0266		\| +0.0266
	\| 0.0235		\| 0.0235
Line 38:		Line 38:
	\| 2.3.5.7		\| 2.3.5.7
	\| 703125/702464, 14348907/14336000, 283115520/282475249		\| 703125/702464, 14348907/14336000, 283115520/282475249
	\| {{mapping\|1019 1615 2366 2861}}		\| {{mapping\| 1019 1615 2366 2861 }}
	\| -0.0121		\| -0.0121
	\| 0.0700		\| 0.0700
Line 44:		Line 44:
	\|-		\|-
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 3025/3024, 759375/758912~~, 180224/180075~~, 14348907/14336000		\| 3025/3024, 180224/180075, 759375/758912, 14348907/14336000
	\| {{mapping\|1019 1615 2366 2861 3525}}		\| {{mapping\| 1019 1615 2366 2861 3525 }}
	\| +0.0013		\| +0.0013
	\| 0.0681		\| 0.0681
Line 51:		Line 51:
	\|-		\|-
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 3025/3024, ~~1716~~/~~1715~~, ~~4096~~/~~4095~~, 540000/539539~~, 216513/216320~~		\| 1716/1715, 3025/3024, 4096/4095, 216513/216320, 540000/539539
	\| {{mapping\|1019 1615 2366 2861 3525 3771}}		\| {{mapping\| 1019 1615 2366 2861 3525 3771 }}
	\| -0.0123		\| -0.0123
	\| 0.0692		\| 0.0692
Line 58:		Line 58:
	\|-		\|-
	\| 2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\| 1275/1274, 3025/3024~~, 1716/1715~~, 4096/4095~~, 2500/2499~~, 3536379/3536000		\| 1275/1274, 1716/1715, 2500/2499, 3025/3024, 4096/4095, 3536379/3536000
	\| {{mapping\|1019 1615 2366 2861 3525 3771 4165}}		\| {{mapping\| 1019 1615 2366 2861 3525 3771 4165 }}
	\| -0.0054		\| -0.0054
	\| 0.0662		\| 0.0662
	\| 5.62		\| 5.62
	\|}		\|}

Francium: Created page with "{{Infobox ET}} {{EDO intro|1019}} == Theory == 1019edo is consistent to the 17-odd-limit, tempering out 1275/1274, 3025/3024, 1716/1715, ..."

2024-11-12T19:48:17Z

Created page with "{{Infobox ET}} {{EDO intro|1019}} == Theory == 1019edo is consistent to the 17-odd-limit, tempering out 1275/1274, 3025/3024, 1716/1715, ..."

New page

{{Infobox ET}}
{{EDO intro|1019}}

== Theory ==
1019edo is [[consistent]] to the [[17-odd-limit]], [[temper out|tempering out]] [[1275/1274]], [[3025/3024]], [[1716/1715]], [[4096/4095]], [[2500/2499]] and 3536379/3536000. Using the 2.3.5.11.17.29.43 [[subgroup]], it tempers out [[17545/17544]]. It [[support]]s [[tritomere]].

=== Prime harmonics ===
{{Harmonics in equal|1019}}

=== Subsets and supersets ===
1019edo is the 171st [[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|-1615 1019}}
| {{mapping|1019 1615}}
| +0.0285
| 0.0285
| 2.42
|-
| 2.3.5
| {{monzo|-31 43 -16}}, {{monzo|-68 18 17}}
| {{mapping|1019 1615 2366}}
| +0.0266
| 0.0235
| 2.00
|-
| 2.3.5.7
| 703125/702464, 14348907/14336000, 283115520/282475249
| {{mapping|1019 1615 2366 2861}}
| -0.0121
| 0.0700
| 5.94
|-
| 2.3.5.7.11
| 3025/3024, 759375/758912, 180224/180075, 14348907/14336000
| {{mapping|1019 1615 2366 2861 3525}}
| +0.0013
| 0.0681
| 5.78
|-
| 2.3.5.7.11.13
| 3025/3024, 1716/1715, 4096/4095, 540000/539539, 216513/216320
| {{mapping|1019 1615 2366 2861 3525 3771}}
| -0.0123
| 0.0692
| 5.88
|-
| 2.3.5.7.11.13.17
| 1275/1274, 3025/3024, 1716/1715, 4096/4095, 2500/2499, 3536379/3536000
| {{mapping|1019 1615 2366 2861 3525 3771 4165}}
| -0.0054
| 0.0662
| 5.62
|}