701edo - 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"

2026-03-13T13:32:13Z

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 13:32, 13 March 2026
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	\| [[Quinmite]]		\| [[Quinmite]]
	\|}		\|}
	<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 */ +music

2025-06-03T12:38:02Z

Music: +music

← Older revision		Revision as of 12:38, 3 June 2025
Line 83:		Line 83:
	* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM YouTube]		* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM YouTube]
	* "You Disnt See the Obivous" from ''Void'' (2025) – [https://open.spotify.com/track/4vToBN4eH1gSB3sxGiH0CT Spotify] \| [https://francium223.bandcamp.com/track/you-disnt-see-the-obivous Bandcamp] \| [https://www.youtube.com/watch?v=ouiHrGNTzsA YouTube]		* "You Disnt See the Obivous" from ''Void'' (2025) – [https://open.spotify.com/track/4vToBN4eH1gSB3sxGiH0CT Spotify] \| [https://francium223.bandcamp.com/track/you-disnt-see-the-obivous Bandcamp] \| [https://www.youtube.com/watch?v=ouiHrGNTzsA YouTube]
			* "Coco Cat" from ''Microtonal Six-Dimensional Cats'' (2025) – [https://open.spotify.com/track/5FSKaut8FQ7NJN9CxGqnBA Spotify] \| [https://francium223.bandcamp.com/track/coco-cat Bandcamp] \| [https://www.youtube.com/watch?v=wK67ipiLKW0 YouTube]

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

Francium: /* Music */ +music

2025-05-22T11:22:22Z

Music: +music

← Older revision		Revision as of 11:22, 22 May 2025
Line 81:		Line 81:
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – in Zisa, 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – in Zisa, 701edo tuning
	* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]		* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]
	* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM ~~Youtube~~] – ~~in Sinachopoulosic, 701edo tuning~~		* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM YouTube]
			* "You Disnt See the Obivous" from ''Void'' (2025) – [https://open.spotify.com/track/4vToBN4eH1gSB3sxGiH0CT Spotify] \| [https://francium223.bandcamp.com/track/you-disnt-see-the-obivous Bandcamp] \| [https://www.youtube.com/watch?v=ouiHrGNTzsA YouTube]

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

Francium: changed EDO intro to ED intro

2025-02-21T06:10:31Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:10, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2025-01-20T12:05:47Z

Music: +music

← Older revision		Revision as of 12:05, 20 January 2025
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	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – ~~zisa~~ in 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – in Zisa, 701edo tuning
	* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]		* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]
			* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM Youtube] – in Sinachopoulosic, 701edo tuning

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

ArrowHead294 at 19:38, 15 January 2025

2025-01-15T19:38:40Z

← Older revision		Revision as of 19:38, 15 January 2025
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	== Theory ==		== Theory ==
	701edo is [[consistent]] to the [[15-odd-limit]]. The equal temperament [[tempering out\|tempers out]] [[2401/2400]], 1959552/1953125 and {{monzo\|-29 23 -2 -1}} in the [[7-limit]]; [[5632/5625]], 2401/2400, 137781/137500 and 43923/43904 in the 11-limit; [[1001/1000]], [[1716/1715]], [[4096/4095]], 39366/39325 and [[6656/6655]] in the 13-limit. ~~701edo~~ [[support]]s [[zisa]] and [[quinmite]].		701edo is [[consistent]] to the [[15-odd-limit]]. The equal temperament [[tempering out\|tempers out]] [[2401/2400]], 1959552/1953125 and {{monzo\|-29 23 -2 -1}} in the [[7-limit]]; [[5632/5625]], 2401/2400, 137781/137500 and 43923/43904 in the 11-limit; [[1001/1000]], [[1716/1715]], [[4096/4095]], 39366/39325 and [[6656/6655]] in the 13-limit. It also [[support]]s [[zisa]] and [[quinmite]].

	=== Prime harmonics ===		=== Prime harmonics ===
Line 33:		Line 33:
	\| {{monzo\|-22 30 -11}}, {{monzo\|55 -1 -23}}		\| {{monzo\|-22 30 -11}}, {{monzo\|55 -1 -23}}
	\| {{mapping\|701 1111 1628}}		\| {{mapping\|701 1111 1628}}
	\| ~~−0~~.0596		\| −0.0596
	\| 0.1316		\| 0.1316
	\| 7.69		\| 7.69
Line 40:		Line 40:
	\| 2401/2400, 1959552/1953125, {{monzo\|-29 23 -2 -1}}		\| 2401/2400, 1959552/1953125, {{monzo\|-29 23 -2 -1}}
	\| {{mapping\|701 1111 1628 1968}}		\| {{mapping\|701 1111 1628 1968}}
	\| ~~−0~~.0514		\| −0.0514
	\| 0.1149		\| 0.1149
	\| 6.71		\| 6.71
Line 47:		Line 47:
	\| 5632/5625, 2401/2400, 137781/137500, 43923/43904		\| 5632/5625, 2401/2400, 137781/137500, 43923/43904
	\| {{mapping\|701 1111 1628 1968 2425}}		\| {{mapping\|701 1111 1628 1968 2425}}
	\| ~~−0~~.0350		\| −0.0350
	\| 0.1078		\| 0.1078
	\| 6.30		\| 6.30
Line 54:		Line 54:
	\| 1001/1000, 1716/1715, 4096/4095, 39366/39325, 6656/6655		\| 1001/1000, 1716/1715, 4096/4095, 39366/39325, 6656/6655
	\| {{mapping\|701 1111 1628 1968 2425 2594}}		\| {{mapping\|701 1111 1628 1968 2425 2594}}
	\| ~~−0~~.0286		\| −0.0286
	\| 0.0995		\| 0.0995
	\| 5.81		\| 5.81
Line 75:		Line 75:
	\| [[Quinmite]]		\| [[Quinmite]]
	\|}		\|}
	<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]]
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) ~~–~~ [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] ~~–~~ zisa in 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning
	* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) ~~–~~ [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]		* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]

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

Francium: /* Music */ +music

2024-11-28T12:33:09Z

Music: +music

← Older revision		Revision as of 12:33, 28 November 2024
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	; [[Francium]]		; [[Francium]]
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning
			* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]

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

ArrowHead294: Partial undo

2024-11-16T13:06:46Z

Partial undo

← Older revision		Revision as of 13:06, 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 48:		Line 57:
	\| 0.0995		\| 0.0995
	\| 5.81		\| 5.81
	~~{{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 58:		Line 74:
	\| [[25/21]]		\| [[25/21]]
	\| [[Quinmite]]		\| [[Quinmite]]
	~~{{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 02:32, 16 November 2024

2024-11-16T02:32:58Z

← Older revision		Revision as of 02:32, 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 32:		Line 24:
	\| {{monzo\|-22 30 -11}}, {{monzo\|55 -1 -23}}		\| {{monzo\|-22 30 -11}}, {{monzo\|55 -1 -23}}
	\| {{mapping\|701 1111 1628}}		\| {{mapping\|701 1111 1628}}
	\| -0.0596		\| −0.0596
	\| 0.1316		\| 0.1316
	\| 7.69		\| 7.69
Line 39:		Line 31:
	\| 2401/2400, 1959552/1953125, {{monzo\|-29 23 -2 -1}}		\| 2401/2400, 1959552/1953125, {{monzo\|-29 23 -2 -1}}
	\| {{mapping\|701 1111 1628 1968}}		\| {{mapping\|701 1111 1628 1968}}
	\| -0.0514		\| −0.0514
	\| 0.1149		\| 0.1149
	\| 6.71		\| 6.71
Line 46:		Line 38:
	\| 5632/5625, 2401/2400, 137781/137500, 43923/43904		\| 5632/5625, 2401/2400, 137781/137500, 43923/43904
	\| {{mapping\|701 1111 1628 1968 2425}}		\| {{mapping\|701 1111 1628 1968 2425}}
	\| -0.0350		\| −0.0350
	\| 0.1078		\| 0.1078
	\| 6.30		\| 6.30
Line 53:		Line 45:
	\| 1001/1000, 1716/1715, 4096/4095, 39366/39325, 6656/6655		\| 1001/1000, 1716/1715, 4096/4095, 39366/39325, 6656/6655
	\| {{mapping\|701 1111 1628 1968 2425 2594}}		\| {{mapping\|701 1111 1628 1968 2425 2594}}
	\| -0.0286		\| −0.0286
	\| 0.0995		\| 0.0995
	\| 5.81		\| 5.81
	\|}		{{comma basis end}}

	=== 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
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	\| [[25/21]]		\| [[25/21]]
	\| [[Quinmite]]		\| [[Quinmite]]
	\|}		{{rank-2 end}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~		{{orf}}

	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning

			[[Category:Listen]]

Francium: +music

2024-08-04T13:26:17Z

+music

← Older revision		Revision as of 13:26, 4 August 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]]
			* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – zisa in 701edo tuning

← Older revision		Revision as of 11:22, 22 May 2025
Line 81:		Line 81:
	* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – in Zisa, 701edo tuning		* "Don't Fancy Cooking Jonathan?" from ''Questions'' (2024) – [https://open.spotify.com/track/4OzV8Wjab1MyEQLKE3ErVX Spotify] \| [https://francium223.bandcamp.com/track/dont-fancy-cooking-jonathan Bandcamp] \| [https://www.youtube.com/watch?v=-wZcQ9t_NrE YouTube] – in Zisa, 701edo tuning
	* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]		* "Fluffy Spider Silk" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/48K7FpEbJrCL6bZz5FoAuT Spotify] \| [https://francium223.bandcamp.com/track/fluffy-spider-silk Bandcamp] \| [https://www.youtube.com/watch?v=eIskpXFHhB0 YouTube]
	* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM ~~Youtube~~] – ~~in Sinachopoulosic, 701edo tuning~~		* "Sinisterly" from ''The Scallop Disco Accident'' (2025) – [https://open.spotify.com/track/3D1Y6m4OqFdA1QPjOrds6j Spotify] \| [https://francium223.bandcamp.com/track/sinisterly Bandcamp] \| [https://www.youtube.com/watch?v=ouCz-TxpUWM YouTube]
			* "You Disnt See the Obivous" from ''Void'' (2025) – [https://open.spotify.com/track/4vToBN4eH1gSB3sxGiH0CT Spotify] \| [https://francium223.bandcamp.com/track/you-disnt-see-the-obivous Bandcamp] \| [https://www.youtube.com/watch?v=ouiHrGNTzsA YouTube]

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