601edo - Revision history

ArrowHead294 at 13:04, 21 February 2025

2025-02-21T13:04:47Z

← Older revision		Revision as of 13:04, 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" \| [[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 25:		Line 26:
	\| {{monzo\| -1905 601 }}		\| {{monzo\| -1905 601 }}
	\| {{mapping\| 601 1905 }}		\| {{mapping\| 601 1905 }}
	\| 0.0393		\| +0.0393
	\| 0.0393		\| 0.0393
	\| 1.97		\| 1.97
Line 32:		Line 33:
	\| 32805/32768, {{monzo\| -105 -65 134 }}		\| 32805/32768, {{monzo\| -105 -65 134 }}
	\| {{mapping\| 601 1905 1395 }}		\| {{mapping\| 601 1905 1395 }}
	\| 0.1635		\| +0.1635
	\| 0.1785		\| 0.1785
	\| 8.94		\| 8.94
Line 39:		Line 40:
	\| 32805/32768, 68359375/68024448, {{monzo\| -16 -5 -2 13 }}		\| 32805/32768, 68359375/68024448, {{monzo\| -16 -5 -2 13 }}
	\| {{mapping\| 601 1905 1395 1687 }}		\| {{mapping\| 601 1905 1395 1687 }}
	\| 0.1618		\| +0.1618
	\| 0.1546		\| 0.1546
	\| 7.74		\| 7.74
Line 46:		Line 47:
	\| 6250/6237, 41503/41472, 32805/32768, 3294225/3294172		\| 6250/6237, 41503/41472, 32805/32768, 3294225/3294172
	\| {{mapping\| 601 1905 1395 1687 2079 }}		\| {{mapping\| 601 1905 1395 1687 2079 }}
	\| 0.1431		\| +0.1431
	\| 0.1432		\| 0.1432
	\| 7.17		\| 7.17
Line 53:		Line 54:
	\| 1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197		\| 1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197
	\| {{mapping\| 601 1905 1395 1687 2079 2224 }}		\| {{mapping\| 601 1905 1395 1687 2079 2224 }}
	\| 0.1160		\| +0.1160
	\| 0.1441		\| 0.1441
	\| 7.22		\| 7.22

Francium: changed EDO intro to ED intro

2025-02-21T05:46:28Z

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~~\|601~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +music

2024-06-11T12:54:35Z

+music

← Older revision		Revision as of 12:54, 11 June 2024
Line 57:		Line 57:
	\| 7.22		\| 7.22
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "younothingbluck" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3DSwkkzzAmrwnjHacqXfxl Spotify] \| [https://francium223.bandcamp.com/track/younothingbluck Bandcamp] \| [https://www.youtube.com/watch?v=bWNHr2sIPng YouTube] – stacks[19] in 601edo tuning

FloraC: Review

2024-05-18T13:14:44Z

Review

← Older revision		Revision as of 13:14, 18 May 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	601edo is ~~only~~ [[consistent]] to the [[3-odd-limit]] and ~~the error of the~~ [[harmonic]] [[3/1\|3]] ~~is very large~~. It can be used in the 2.9.7.11.13.19 [[subgroup]], [[tempering out]] [[41503/41472]], 104272/104247, [[10648/10647]], 388962/388531 and 10097379/10092544.		601edo is in[[consistent]] to the [[5-odd-limit]] and both [[harmonic]]s [[3/1\|3]] and [[5/1\|5]] are about halfway between its steps. It can be used in the 2.9.15.7.11.13.19 [[subgroup]], [[tempering out]] [[41503/41472]], 104272/104247, [[10648/10647]], 388962/388531 and 10097379/10092544.

	=== Odd harmonics ===		=== Odd harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	601edo is the 110th [[prime ~~EDO~~]]. [[1202edo]], which doubles it, gives a good correction to the harmonics 3 and 5.		601edo is the 110th [[prime edo]]. [[1202edo]], which doubles it, gives a good correction to the harmonics 3 and 5.

	== 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]] (%)
	\|-		\|-
	\|2.9		\| 2.9
	\|{{monzo\|-1905 601}}		\| {{monzo\| -1905 601 }}
	\|{{mapping\|601 1905}}		\| {{mapping\| 601 1905 }}
	\| 0.0393		\| 0.0393
	\| 0.0393		\| 0.0393
	\| 1.97		\| 1.97
	\|-		\|-
	\|2.9.5		\| 2.9.5
	\|32805/32768, {{monzo\|-105 -65 134}}		\| 32805/32768, {{monzo\| -105 -65 134 }}
	\|{{mapping\|601 1905 1395}}		\| {{mapping\| 601 1905 1395 }}
	\| 0.1635		\| 0.1635
	\| 0.1785		\| 0.1785
	\| 8.94		\| 8.94
	\|-		\|-
	\|2.9.5.7		\| 2.9.5.7
	\|32805/32768, 68359375/68024448, {{monzo\|-16 -5 -2 13}}		\| 32805/32768, 68359375/68024448, {{monzo\| -16 -5 -2 13 }}
	\|{{mapping\|601 1905 1395 1687}}		\| {{mapping\| 601 1905 1395 1687 }}
	\| 0.1618		\| 0.1618
	\| 0.1546		\| 0.1546
	\| 7.74		\| 7.74
	\|-		\|-
	\|2.9.5.7.11		\| 2.9.5.7.11
	\|6250/6237, 41503/41472, 32805/32768, 3294225/3294172		\| 6250/6237, 41503/41472, 32805/32768, 3294225/3294172
	\|{{mapping\|601 1905 1395 1687 2079}}		\| {{mapping\| 601 1905 1395 1687 2079 }}
	\| 0.1431		\| 0.1431
	\| 0.1432		\| 0.1432
	\| 7.17		\| 7.17
	\|-		\|-
	\|2.9.5.7.11.13		\| 2.9.5.7.11.13
	\|1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197		\| 1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197
	\|{{mapping\|601 1905 1395 1687 2079 2224}}		\| {{mapping\| 601 1905 1395 1687 2079 2224 }}
	\| 0.1160		\| 0.1160
	\| 0.1441		\| 0.1441
	\| 7.22		\| 7.22
	\|}		\|}

Francium: Created page with "{{Infobox ET}} {{EDO intro|601}} == Theory == 601edo is only consistent to the 3-odd-limit and the error of the harmonic 3 is very large. It can be used i..."

2024-05-18T13:03:35Z

Created page with "{{Infobox ET}} {{EDO intro|601}} == Theory == 601edo is only consistent to the 3-odd-limit and the error of the harmonic 3 is very large. It can be used i..."

New page

{{Infobox ET}}
{{EDO intro|601}}

== Theory ==
601edo is only [[consistent]] to the [[3-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is very large. It can be used in the 2.9.7.11.13.19 [[subgroup]], [[tempering out]] [[41503/41472]], 104272/104247, [[10648/10647]], 388962/388531 and 10097379/10092544.

=== Odd harmonics ===
{{Harmonics in equal|601}}

=== Subsets and supersets ===
601edo is the 110th [[prime EDO]]. [[1202edo]], which doubles it, gives a good correction to the harmonics 3 and 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|-1905 601}}
|{{mapping|601 1905}}
| 0.0393
| 0.0393
| 1.97
|-
|2.9.5
|32805/32768, {{monzo|-105 -65 134}}
|{{mapping|601 1905 1395}}
| 0.1635
| 0.1785
| 8.94
|-
|2.9.5.7
|32805/32768, 68359375/68024448, {{monzo|-16 -5 -2 13}}
|{{mapping|601 1905 1395 1687}}
| 0.1618
| 0.1546
| 7.74
|-
|2.9.5.7.11
|6250/6237, 41503/41472, 32805/32768, 3294225/3294172
|{{mapping|601 1905 1395 1687 2079}}
| 0.1431
| 0.1432
| 7.17
|-
|2.9.5.7.11.13
|1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197
|{{mapping|601 1905 1395 1687 2079 2224}}
| 0.1160
| 0.1441
| 7.22
|}