1063edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:31:49Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:31, 13 March 2026
Line 74:		Line 74:
	\| [[Counterhanson]]		\| [[Counterhanson]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==

Francium: changed EDO intro to ED intro

2025-02-21T05:59:13Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:59, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1063~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 18:44, 15 January 2025

2025-01-15T18:44:56Z

← Older revision		Revision as of 18:44, 15 January 2025
Line 26:		Line 26:
	\| {{monzo\|1685 -1063}}		\| {{monzo\|1685 -1063}}
	\| {{mapping\|1063 1685}}		\| {{mapping\|1063 1685}}
	\| -0.0658		\| −0.0658
	\| 0.0658		\| 0.0658
	\| 5.83		\| 5.83
Line 33:		Line 33:
	\| {{monzo\|-20 -24 25}}, {{monzo\|77 -31 -12}}		\| {{monzo\|-20 -24 25}}, {{monzo\|77 -31 -12}}
	\| {{mapping\|1063 1685 2468}}		\| {{mapping\|1063 1685 2468}}
	\| -0.0099		\| −0.0099
	\| 0.0956		\| 0.0956
	\| 8.47		\| 8.47
Line 74:		Line 74:
	\| [[Counterhanson]]		\| [[Counterhanson]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Interlude" from ''hope in dark times'' (2024) ~~–~~ [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]		* "Interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]
	* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] ~~–~~ 5-piece EP in 1063edo		* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo

	[[Category:Listen]]		[[Category:Listen]]

ArrowHead294: Partial undo

2024-11-16T13:13:32Z

Partial undo

← Older revision		Revision as of 13:13, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
Line 41:		Line 50:
	\| 0.0937		\| 0.0937
	\| 8.30		\| 8.30
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
Line 57:		Line 73:
	\| 6/5		\| 6/5
	\| [[Counterhanson]]		\| [[Counterhanson]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	== Music ==		== Music ==

ArrowHead294 at 01:52, 16 November 2024

2024-11-16T01:52:42Z

← Older revision		Revision as of 01:52, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	\|-
	~~! 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		\| 2.3
Line 50:		Line 41:
	\| 0.0937		\| 0.0937
	\| 8.30		\| 8.30
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+ style="font-size: 105%;" \| Table of~~ rank-2 ~~temperaments by generator~~
	\|-
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
Line 73:		Line 57:
	\| 6/5		\| 6/5
	\| [[Counterhanson]]		\| [[Counterhanson]]
	\|}		{{rank-2 end}}
	{{orf}}		{{orf}}

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "~~interlude~~" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]		* "Interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]
	* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo		* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo

	[[Category:Listen]]		[[Category:Listen]]

ArrowHead294 at 01:15, 16 November 2024

2024-11-16T01:15:59Z

← Older revision		Revision as of 01:15, 16 November 2024
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" \|[[Mapping]]~~
	~~! rowspan="2" \|Optimal<br>8ve Stretch (¢)~~
	~~! colspan="2" \|Tuning Error~~
	\|-
	~~![[TE error\|Absolute]] (¢)~~
	~~![[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	\|2.3		! rowspan="2" \| [[Subgroup]]
	\|{{monzo\|1685 -1063}}		! rowspan="2" \| [[Comma list\|Comma List]]
	\|{{mapping\|1063 1685}}		! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br>8ve Stretch (¢)
			! colspan="2" \| Tuning Error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
			\|-
			\| 2.3
			\| {{monzo\|1685 -1063}}
			\| {{mapping\|1063 1685}}
	\| -0.0658		\| -0.0658
	\| 0.0658		\| 0.0658
	\| 5.83		\| 5.83
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\|-20 -24 25}}, {{monzo\|77 -31 -12}}		\| {{monzo\|-20 -24 25}}, {{monzo\|77 -31 -12}}
	\|{{mapping\|1063 1685 2468}}		\| {{mapping\|1063 1685 2468}}
	\| -0.0099		\| -0.0099
	\| 0.0956		\| 0.0956
	\| 8.47		\| 8.47
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|2401/2400, 3500000000/3486784401, 3367254360064/3363025078125		\| 2401/2400, 3500000000/3486784401, 3367254360064/3363025078125
	\|{{mapping\|1063 1685 2468 2984}}		\| {{mapping\|1063 1685 2468 2984}}
	\| +0.0144		\| +0.0144
	\| 0.0930		\| 0.0930
	\| 8.24		\| 8.24
	\|-		\|-
	\|2.3.5.7.11		\| 2.3.5.7.11
	\|2401/2400, 19712/19683, 43923/43904, 1953125/1951488		\| 2401/2400, 19712/19683, 43923/43904, 1953125/1951488
	\|{{mapping\|1063 1685 2468 2984 3677}}		\| {{mapping\|1063 1685 2468 2984 3677}}
	\| +0.0361		\| +0.0361
	\| 0.0937		\| 0.0937
Line 53:		Line 54:
	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>~~Ratio~~*		! Associated<br>ratio*
	! Temperaments		! Temperaments
	\|-		\|-
	\|1		\| 1
	\|229\1063		\| 229\1063
	\|258.514		\| 258.514
	\|{{monzo\|-32 13 5}}		\| {{monzo\|-32 13 5}}
	\|[[Lafa]]		\| [[Lafa]]
	\|-		\|-
	\|1		\| 1
	\|280\1063		\| 280\1063
	\|316.087		\| 316.087
	\|6/5		\| 6/5
	\|[[Counterhanson]]		\| [[Counterhanson]]
	\|}		\|}
			{{orf}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]		* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]
	* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo		* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo

	[[Category:Listen]]		[[Category:Listen]]

Francium: /* Music */ +EP

2024-10-23T13:05:16Z

Music: +EP

← Older revision		Revision as of 13:05, 23 October 2024
Line 78:		Line 78:
	; [[Francium]]		; [[Francium]]
	* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]		* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]
			* ''1063'' (2024) – [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] \| [https://francium223.bandcamp.com/album/1063 Bandcamp] \| [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo

	[[Category:Listen]]		[[Category:Listen]]

Francium: +categories

2024-02-13T18:23:28Z

+categories

← Older revision		Revision as of 18:23, 13 February 2024
Line 78:		Line 78:
	; [[Francium]]		; [[Francium]]
	* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]		* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]

			[[Category:Listen]]

Francium: +music

2024-01-05T11:06:26Z

+music

← Older revision		Revision as of 11:06, 5 January 2024
Line 74:		Line 74:

	<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct		<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

			== Music ==
			; [[Francium]]
			* "interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] \| [https://francium223.bandcamp.com/track/interlude Bandcamp] \| [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]

Francium: Created page with "{{Infobox ET}} {{EDO intro|1063}} == Theory == 1063et tempers out 2401/2400 in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879..."

2023-11-27T12:15:38Z

Created page with "{{Infobox ET}} {{EDO intro|1063}} == Theory == 1063et tempers out 2401/2400 in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879..."

New page

{{Infobox ET}}
{{EDO intro|1063}}

== Theory ==
1063et tempers out [[2401/2400]] in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879453125/1879048192, 3294225/3294172, 43923/43904, 102487/102400 and 781258401/781250000 in the 11-limit.

=== Prime harmonics ===
{{Harmonics in equal|1063}}

=== Subsets and supersets ===
1063edo is the 179th [[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|1685 -1063}}
|{{mapping|1063 1685}}
| -0.0658
| 0.0658
| 5.83
|-
|2.3.5
|{{monzo|-20 -24 25}}, {{monzo|77 -31 -12}}
|{{mapping|1063 1685 2468}}
| -0.0099
| 0.0956
| 8.47
|-
|2.3.5.7
|2401/2400, 3500000000/3486784401, 3367254360064/3363025078125
|{{mapping|1063 1685 2468 2984}}
| +0.0144
| 0.0930
| 8.24
|-
|2.3.5.7.11
|2401/2400, 19712/19683, 43923/43904, 1953125/1951488
|{{mapping|1063 1685 2468 2984 3677}}
| +0.0361
| 0.0937
| 8.30
|}

=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|1
|229\1063
|258.514
|{{monzo|-32 13 5}}
|[[Lafa]]
|-
|1
|280\1063
|316.087
|6/5
|[[Counterhanson]]
|}

<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct