547edo - 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"

2026-03-13T13:31:55Z

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 85:		Line 85:
	\| [[Alphatrillium]]		\| [[Alphatrillium]]
	\|}		\|}
	<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: /* Music */ +links

2025-04-30T11:16:16Z

Music: +links

← Older revision		Revision as of 11:16, 30 April 2025
Line 93:		Line 93:
	* from ''Eggs'' (2025)		* from ''Eggs'' (2025)
	** "Steam Eggs with Wikipedia" – [https://open.spotify.com/track/5z903cBQkfYCGMZo2YvBP0 Spotify] \| [https://francium223.bandcamp.com/track/steam-eggs-with-wikipedia Bandcamp] \| [https://www.youtube.com/watch?v=APOWzIFl1Xk YouTube]		** "Steam Eggs with Wikipedia" – [https://open.spotify.com/track/5z903cBQkfYCGMZo2YvBP0 Spotify] \| [https://francium223.bandcamp.com/track/steam-eggs-with-wikipedia Bandcamp] \| [https://www.youtube.com/watch?v=APOWzIFl1Xk YouTube]
	** "Her Name Was Egg." – [https://open.spotify.com/track/5IOaQ1cNTUimE9gvui1qlK Spotify] \| [https://francium223.bandcamp.com/track/her-name-was-egg Bandcamp]		** "Her Name Was Egg." – [https://open.spotify.com/track/5IOaQ1cNTUimE9gvui1qlK Spotify] \| [https://francium223.bandcamp.com/track/her-name-was-egg Bandcamp] \| [https://www.youtube.com/watch?v=ixFhdiEBB_w YouTube]

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

Francium: /* Music */ +music

2025-04-27T11:30:26Z

Music: +music

← Older revision		Revision as of 11:30, 27 April 2025
Line 90:		Line 90:
	; [[Francium]]		; [[Francium]]
	* "Activate!" from ''End Of Sartorius Membranes'' (2024) − [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]		* "Activate!" from ''End Of Sartorius Membranes'' (2024) − [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
	* "IT'S A LEG!" from ''CAPSLOCK'' (2024) ~~–~~ [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] − ~~vavoom~~ in 547edo tuning		* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] − in Vavoom, 547edo tuning
			* from ''Eggs'' (2025)
			** "Steam Eggs with Wikipedia" – [https://open.spotify.com/track/5z903cBQkfYCGMZo2YvBP0 Spotify] \| [https://francium223.bandcamp.com/track/steam-eggs-with-wikipedia Bandcamp] \| [https://www.youtube.com/watch?v=APOWzIFl1Xk YouTube]
			** "Her Name Was Egg." – [https://open.spotify.com/track/5IOaQ1cNTUimE9gvui1qlK Spotify] \| [https://francium223.bandcamp.com/track/her-name-was-egg Bandcamp]

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

FloraC: Cleanup and update

2025-03-16T14:22:47Z

Cleanup and update

← Older revision		Revision as of 14:22, 16 March 2025
Line 6:		Line 6:

	=== Prime harmonics ===		=== Prime harmonics ===
	{{~~harmonics~~ in equal\|547}}		{{Harmonics in equal\|547}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
Line 17:		Line 17:
	! rowspan="2" \| [[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
	\|-		\|-
Line 24:		Line 24:
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{~~monzo~~\|867 -547}}		\| {{Monzo\| 867 -547 }}
	\| {{~~mapping~~\|547 867}}		\| {{Mapping\| 547 867 }}
	\| −0.0177		\| −0.0177
	\| 0.0177		\| 0.0177
Line 31:		Line 31:
	\|-		\|-
	\| 2.3.5		\| 2.3.5
	\| {{~~monzo~~\|39 -29 3}}, {{monzo\|-29 -11 20}}		\| {{Monzo\| 39 -29 3 }}, {{monzo\| -29 -11 20 }}
	\| {{~~mapping~~\|547 867 1270}}		\| {{Mapping\| 547 867 1270 }}
	\| +0.0180		\| +0.0180
	\| 0.0525		\| 0.0525
Line 39:		Line 39:
	\| 2.3.5.7		\| 2.3.5.7
	\| 4375/4374, 4096000/4084101, 23066015625/23018340352		\| 4375/4374, 4096000/4084101, 23066015625/23018340352
	\| {{~~mapping~~\|547 867 1270 1536}}		\| {{Mapping\| 547 867 1270 1536 }}
	\| −0.0601		\| −0.0601
	\| 0.1428		\| 0.1428
Line 49:		Line 49:
	\|+ style="font-size: 105%;" \| 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
	\|-		\|-
Line 83:		Line 83:
	\| 566.00		\| 566.00
	\| 104/75		\| 104/75
	\| [[~~Tricot~~]]		\| [[Alphatrillium]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if 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: changed EDO intro to ED intro

2025-02-21T06:02:28Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:02, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|547~~}}		{{ED intro}}

	== Theory ==		== Theory ==

ArrowHead294 at 17:01, 15 January 2025

2025-01-15T17:01:49Z

← Older revision		Revision as of 17:01, 15 January 2025
Line 26:		Line 26:
	\| {{monzo\|867 -547}}		\| {{monzo\|867 -547}}
	\| {{mapping\|547 867}}		\| {{mapping\|547 867}}
	\| ~~−0~~.0177		\| −0.0177
	\| 0.0177		\| 0.0177
	\| 0.81		\| 0.81
Line 40:		Line 40:
	\| 4375/4374, 4096000/4084101, 23066015625/23018340352		\| 4375/4374, 4096000/4084101, 23066015625/23018340352
	\| {{mapping\|547 867 1270 1536}}		\| {{mapping\|547 867 1270 1536}}
	\| ~~−0~~.0601		\| −0.0601
	\| 0.1428		\| 0.1428
	\| 6.51		\| 6.51
Line 85:		Line 85:
	\| [[Tricot]]		\| [[Tricot]]
	\|}		\|}
	<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]]
	* "Activate!" from ''End Of Sartorius Membranes'' (2024) ~~–~~ [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]		* "Activate!" from ''End Of Sartorius Membranes'' (2024) − [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
	* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] ~~–~~ vavoom in 547edo tuning		* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] − vavoom in 547edo tuning

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

ArrowHead294: Partial undo

2024-11-16T13:12:10Z

Partial undo

← Older revision		Revision as of 13:12, 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
	\| {{monzo\|867 -547}}		\| {{monzo\|867 -547}}
	\| {{mapping\|547 867}}		\| {{mapping\|547 867}}
	\| -0.0177		\| −0.0177
	\| 0.0177		\| 0.0177
	\| 0.81		\| 0.81
Line 31:		Line 40:
	\| 4375/4374, 4096000/4084101, 23066015625/23018340352		\| 4375/4374, 4096000/4084101, 23066015625/23018340352
	\| {{mapping\|547 867 1270 1536}}		\| {{mapping\|547 867 1270 1536}}
	\| -0.0601		\| −0.0601
	\| 0.1428		\| 0.1428
	\| 6.51		\| 6.51
Line 37:		Line 46:

	=== 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 68:		Line 84:
	\| 104/75		\| 104/75
	\| [[Tricot]]		\| [[Tricot]]
	~~{{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 01:58, 16 November 2024

2024-11-16T01:58:48Z

← Older revision		Revision as of 01:58, 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
	\|{{monzo\|867 -547}}		\| {{monzo\|867 -547}}
	\|{{mapping\|547 867}}		\| {{mapping\|547 867}}
	\| -0.0177		\| -0.0177
	\| 0.0177		\| 0.0177
	\| 0.81		\| 0.81
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\|39 -29 3}}, {{monzo\|-29 -11 20}}		\| {{monzo\|39 -29 3}}, {{monzo\|-29 -11 20}}
	\|{{mapping\|547 867 1270}}		\| {{mapping\|547 867 1270}}
	\| +0.0180		\| +0.0180
	\| 0.0525		\| 0.0525
	\| 2.39		\| 2.39
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|4375/4374, 4096000/4084101, 23066015625/23018340352		\| 4375/4374, 4096000/4084101, 23066015625/23018340352
	\|{{mapping\|547 867 1270 1536}}		\| {{mapping\|547 867 1270 1536}}
	\| -0.0601		\| -0.0601
	\| 0.1428		\| 0.1428
Line 45:		Line 37:

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\|1		\| 1
	\|16\547		\| 16\547
	\|35.10		\| 35.10
	\|1990656/1953125		\| 1990656/1953125
	\|[[Gammic]]		\| [[Gammic]]
	\|-		\|-
	\|1		\| 1
	\|51\547		\| 51\547
	\|111.88		\| 111.88
	\|16/15		\| 16/15
	\|[[Vavoom]]		\| [[Vavoom]]
	\|-		\|-
	\|1		\| 1
	\|101\547		\| 101\547
	\|221.57		\| 221.57
	\|8388608/7381125		\| 8388608/7381125
	\|[[Fortune]]		\| [[Fortune]]
	\|-		\|-
	\|1		\| 1
	\|105\547		\| 105\547
	\|230.35		\| 230.35
	\|8/7		\| 8/7
	\|[[Gamera]]		\| [[Gamera]]
	\|-		\|-
	\|1		\| 1
	\|258\547		\| 258\547
	\|566.00		\| 566.00
	\|104/75		\| 104/75
	\|[[Tricot]]		\| [[Tricot]]
	\|}		{{rank-2 end}}
			{{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]]
	* "Activate!" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]		* "Activate!" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
	* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] – vavoom in 547edo tuning		* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] – vavoom in 547edo tuning

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

Francium: /* Music */ +music

2024-08-19T13:14:21Z

Music: +music

← Older revision		Revision as of 13:14, 19 August 2024
Line 89:		Line 89:
	; [[Francium]]		; [[Francium]]
	* "Activate!" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]		* "Activate!" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
			* "IT'S A LEG!" from ''CAPSLOCK'' (2024) – [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] \| [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] \| [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] – vavoom in 547edo tuning

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

Francium: +music

2024-02-20T11:54:46Z

+music

← Older revision		Revision as of 11:54, 20 February 2024
Line 7:		Line 7:
	=== Prime harmonics ===		=== Prime harmonics ===
	{{harmonics in equal\|547}}		{{harmonics in equal\|547}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	547edo is the 101st [[prime edo]]. [[1641edo]], which divides edostep in 3, corrects the mapping for the 11-limit.		547edo is the 101st [[prime edo]]. [[1641edo]], which divides edostep in 3, corrects the mapping for the 11-limit.
Line 84:		Line 85:

	<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]]
			* "Activate!" from ''End Of Sartorius Membranes'' (2024) – [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] \| [https://francium223.bandcamp.com/track/activate Bandcamp] \| [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]

			[[Category:Listen]]