Quarter-comma meantone - Revision history

Matea: /* Intervals of quarter-comma meantone */ change hyphen to minus sign in two places for consistency

2026-10-31T09:41:27Z

Intervals of quarter-comma meantone: change hyphen to minus sign in two places for consistency

← Older revision		Revision as of 09:41, 31 October 2026
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	\|-		\|-
	\| 117.108		\| 117.108
	\| -5		\| −5
	\| Db		\| Db
	\| Minor second, diatonic semitone		\| Minor second, diatonic semitone
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	\|-		\|-
	\| 930.794		\| 930.794
	\| -9		\| −9
	\| Bbb		\| Bbb
	\| Diminished seventh		\| Diminished seventh

Lucius Chiaraviglio: /* Modern renderings */ Add ''The Fitzwilliam Virginal Book: Dances by various composers''] ((late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.2'') — performed on harpsichord by Robert Hill (2015)

2026-10-04T21:50:21Z

Modern renderings: Add ''The Fitzwilliam Virginal Book: Dances by various composers''] ((late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.2'') — performed on harpsichord by Robert Hill (2015)

← Older revision		Revision as of 21:50, 4 October 2026
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	; {{W\|Ferenc Farkas}}		; {{W\|Ferenc Farkas}}
	* [https://www.youtube.com/watch?v=SkZ2FDXMzlA ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov \| Farkas Ferenc Hungarian Dances''] (1961; performed in 2024 by {{W\|Bálint Karosi}})		* [https://www.youtube.com/watch?v=SkZ2FDXMzlA ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov \| Farkas Ferenc Hungarian Dances''] (1961; performed in 2024 by {{W\|Bálint Karosi}})

			; The {{W\|Fitzwilliam Virginal Book}} (various composers)
			* [https://www.youtube.com/playlist?list=WL ''The Fitzwilliam Virginal Book: Dances by various composers''] ((late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.2'') — performed on harpsichord by {{W\|Robert_Hill_(musician)\|Robert Hill}} (2015)
			** 00:06 {{W\|Thomas Morley}}: Alman (FVB II/152)
			** 01:28 Anonymous: Alman (FVB II/249)
			** 02:10 {{W\|William Byrd}}: Coranto (FVB II/241)
			** 03:08 {{W\|Giles Farnaby}}: A Toye (FVB II/270)
			** 04:28 {{W\|Martin Peerson}}: The Primerose (FVB II/271)

	; {{W\|Sergei Rachmaninoff}}		; {{W\|Sergei Rachmaninoff}}

Lucius Chiaraviglio: /* Modern renderings */ Add John Bull's ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – performed on Cembalo Universale (harpsichord having 19 notes per octave for extended meantone) by Robert Hill (2015)

2026-06-04T18:39:28Z

Modern renderings: Add John Bull's ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – performed on Cembalo Universale (harpsichord having 19 notes per octave for extended meantone) by Robert Hill (2015)

← Older revision		Revision as of 18:39, 4 June 2026
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	; {{W\|Chuck Berry}}		; {{W\|Chuck Berry}}
	* [https://web.archive.org/web/20201127012202/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3 ''Reelin' and Rockin'''] (1957)		* [https://web.archive.org/web/20201127012202/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/reelrock.mp3 ''Reelin' and Rockin'''] (1957)

			; {{W\|John Bull (composer)\|John Bull}}
			* [https://www.youtube.com/watch?v=hpDkbRpxwKw ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – performed on Cembalo Universale (harpsichord having 19 notes per octave for extended meantone) by {{W\|Robert_Hill_(musician)\|Robert Hill}} (2015)

	; [[Giovanni Pietro Del Buono]]		; [[Giovanni Pietro Del Buono]]

Lucius Chiaraviglio: /* 21st century */ Add Juhani Nuorvala's ''Enharmoninen sarja (Enharmonic Suite)'' (2017); also fix sharp/flat symbols in other entries

2026-05-25T16:17:21Z

21st century: Add Juhani Nuorvala's ''Enharmoninen sarja (Enharmonic Suite)'' (2017); also fix sharp/flat symbols in other entries

← Older revision		Revision as of 16:17, 25 May 2026
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	* [https://www.youtube.com/watch?v=OZriKGVcXDM ''Ballade No.5 (2025) in C Major for Piano in Quarter-comma Meantone Temperament''] (2025)		* [https://www.youtube.com/watch?v=OZriKGVcXDM ''Ballade No.5 (2025) in C Major for Piano in Quarter-comma Meantone Temperament''] (2025)

	;[[Cam Taylor]]		; [[Juhani Nuorvala]]
	* [https://www.youtube.com/watch?v=bQcDISy6e4M ''Free jam in 1/4-comma Eb-G#''] (2024)		* [https://soundcloud.com/juhani-nuorvala/enharmoninen-sarja-enharmonic-suite ''Enharmoninen sarja (Enharmonic Suite)''] (2017, [[Matias Häkkinen]] on harpsichord with 2 split keys per octave, tuned in quarter-comma meantone (C C♯ D D♯ Eb E F F♯ G G♯ A♭ A=415Hz B♭ B)

			; [[Cam Taylor]]
			* [https://www.youtube.com/watch?v=bQcDISy6e4M ''Free jam in 1/4-comma E♭-G♯''] (2024)

	; [[Chris Vaisvil]]		; [[Chris Vaisvil]]

FloraC: /* Music */ +1

2026-01-23T12:13:10Z

Music: +1

← Older revision		Revision as of 12:13, 23 January 2026
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	* [https://youtu.be/6t5PdeC1Trw ''Country Bumpkin''] (2010) [https://web.archive.org/web/20201127012811/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Country%20Bumpkin%20Live%20At%20The%20Turks%2023,9,2010ce.mp3 play]		* [https://youtu.be/6t5PdeC1Trw ''Country Bumpkin''] (2010) [https://web.archive.org/web/20201127012811/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Country%20Bumpkin%20Live%20At%20The%20Turks%2023,9,2010ce.mp3 play]
	* [https://www.youtube.com/watch?v=HVwXUwK5_Vg ''Ozone Layer''] (2012) [https://web.archive.org/web/20201127013628/http://micro.soonlabel.com/gene_ward_smith/Others/quartercomma/Ozone%20Layer.mp3 play]		* [https://www.youtube.com/watch?v=HVwXUwK5_Vg ''Ozone Layer''] (2012) [https://web.archive.org/web/20201127013628/http://micro.soonlabel.com/gene_ward_smith/Others/quartercomma/Ozone%20Layer.mp3 play]

			; [[Eufalesio]]
			* [https://soundcloud.com/eufalesio/procession-for-the-death-of-a-star?in=eufalesio/sets/microtonal-stuff "Procession for the death of a star"] from [https://soundcloud.com/eufalesio/sets/microtonal-stuff ''Microtonal stuff''] (2022)

	; [[Francium]]		; [[Francium]]

Lucius Chiaraviglio: /* Modern renderings */ Clarify that the last 3 recordings added are on an acoustic instrument

2025-11-28T08:33:30Z

Modern renderings: Clarify that the last 3 recordings added are on an acoustic instrument

← Older revision		Revision as of 08:33, 28 November 2025
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	; {{W\|Johann Sebastian Bach}}		; {{W\|Johann Sebastian Bach}}
	* [https://web.archive.org/web/20201127013537/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Ricercar%20a%206/Quarter-comma-meantone.mp3 ''Bach's Ricercar a 6 from A Musical Offering''] rendered by Claudi Meneghin		* [https://web.archive.org/web/20201127013537/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Ricercar%20a%206/Quarter-comma-meantone.mp3 ''Bach's Ricercar a 6 from A Musical Offering''] rendered by Claudi Meneghin
	* [https://www.youtube.com/watch?v=2osCf4AQ_0k ''Praeludium et fuga in G, BWV 541'' - J S Bach, in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)		* [https://www.youtube.com/watch?v=2osCf4AQ_0k ''Praeludium et fuga in G, BWV 541'' - J S Bach, in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone pipe organ by Helena Holmlund, recorded 2013)

	; {{W\|Chuck Berry}}		; {{W\|Chuck Berry}}
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	; {{W\|Dieterich Buxtehude}}		; {{W\|Dieterich Buxtehude}}
	* [https://www.youtube.com/watch?v=SR0gWBjdzsA ''Magnificat primi toni'' BuxWv 203] (c. 1690; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)		* [https://www.youtube.com/watch?v=SR0gWBjdzsA ''Magnificat primi toni'' BuxWv 203] (c. 1690; performed on quarter-comma meantone pipe organ by Helena Holmlund, recorded 2013)

	; {{W\|François Couperin}}		; {{W\|François Couperin}}
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	; {{W\|Jan Pieterszoon Sweelinck}}		; {{W\|Jan Pieterszoon Sweelinck}}
	* [https://www.youtube.com/watch?v=-_z6lhgLNJI&list=WL&index=238 ''Fantasia chromatica by Sweelinck'', in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)		* [https://www.youtube.com/watch?v=-_z6lhgLNJI&list=WL&index=238 ''Fantasia chromatica by Sweelinck'', in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone pipe organ by Helena Holmlund, recorded 2013)

	; {{W\|Richard Wagner}}		; {{W\|Richard Wagner}}

Lucius Chiaraviglio: /* Modern renderings */ Add 3 recordings on quarter-comma meantone organ

2025-11-28T08:29:03Z

Modern renderings: Add 3 recordings on quarter-comma meantone organ

← Older revision		Revision as of 08:29, 28 November 2025
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	; {{W\|Johann Sebastian Bach}}		; {{W\|Johann Sebastian Bach}}
	* [https://web.archive.org/web/20201127013537/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Ricercar%20a%206/Quarter-comma-meantone.mp3 ''Bach's Ricercar a 6 from A Musical Offering''] rendered by Claudi Meneghin		* [https://web.archive.org/web/20201127013537/http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Ricercar%20a%206/Quarter-comma-meantone.mp3 ''Bach's Ricercar a 6 from A Musical Offering''] rendered by Claudi Meneghin
			* [https://www.youtube.com/watch?v=2osCf4AQ_0k ''Praeludium et fuga in G, BWV 541'' - J S Bach, in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)

	; {{W\|Chuck Berry}}		; {{W\|Chuck Berry}}
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	; [[Giovanni Pietro Del Buono]]		; [[Giovanni Pietro Del Buono]]
	* [http://micro.soonlabel.com/gene_ward_smith/Others/quartercomma/Giovanni%20Pietro%20Del%20Buono-%20Tre%20Sonate%20Sopra%20Ave%20Maris%20Stella%20(V,%20VI,%20VII).mp3 ''Tre Sonate Sopra Ave Maris Stella'' (V, VI, VII)] (''c''. 1641–1644)		* [http://micro.soonlabel.com/gene_ward_smith/Others/quartercomma/Giovanni%20Pietro%20Del%20Buono-%20Tre%20Sonate%20Sopra%20Ave%20Maris%20Stella%20(V,%20VI,%20VII).mp3 ''Tre Sonate Sopra Ave Maris Stella'' (V, VI, VII)] (''c''. 1641–1644)

			; {{W\|Dieterich Buxtehude}}
			* [https://www.youtube.com/watch?v=SR0gWBjdzsA ''Magnificat primi toni'' BuxWv 203] (c. 1690; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)

	; {{W\|François Couperin}}		; {{W\|François Couperin}}
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	; {{W\|Arthur Singer}}, {{w\|John Medora}} and {{w\|David White %28musician%29\|David White}}		; {{W\|Arthur Singer}}, {{w\|John Medora}} and {{w\|David White %28musician%29\|David White}}
	* [https://web.archive.org/web/20201127014551/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/At%20the%20Hop.mp3 ''At the Hop''] (1957)		* [https://web.archive.org/web/20201127014551/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/At%20the%20Hop.mp3 ''At the Hop''] (1957)

			; {{W\|Jan Pieterszoon Sweelinck}}
			* [https://www.youtube.com/watch?v=-_z6lhgLNJI&list=WL&index=238 ''Fantasia chromatica by Sweelinck'', in meantone temperament] (late 1500s – early 1600s; performed on quarter-comma meantone organ by Helena Holmlund, recorded 2013)

	; {{W\|Richard Wagner}}		; {{W\|Richard Wagner}}

Lucius Chiaraviglio: /* Modern renderings */ Add ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov | Farkas Ferenc Hungarian Dances'' (1961; performed in 2024 by Bálint Karosi)

2025-11-24T10:09:11Z

Modern renderings: Add ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov | Farkas Ferenc Hungarian Dances'' (1961; performed in 2024 by Bálint Karosi)

← Older revision		Revision as of 10:09, 24 November 2025
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	; {{W\|François Couperin}}		; {{W\|François Couperin}}
	* [https://web.archive.org/web/20201127015607/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3 ''Le Tic-Toc Choc''] (1722)		* [https://web.archive.org/web/20201127015607/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/quartercomma/Le%20Tic-Toc%20Choc.mp3 ''Le Tic-Toc Choc''] (1722)

			; {{W\|Ferenc Farkas}}
			* [https://www.youtube.com/watch?v=SkZ2FDXMzlA ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov \| Farkas Ferenc Hungarian Dances''] (1961; performed in 2024 by {{W\|Bálint Karosi}})

	; {{W\|Sergei Rachmaninoff}}		; {{W\|Sergei Rachmaninoff}}

Lucius Chiaraviglio: /* 21st century */ Add 2 compositions by Norokusi

2025-08-02T15:20:05Z

21st century: Add 2 compositions by Norokusi

← Older revision		Revision as of 15:20, 2 August 2025
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	** "Canon at the minor second on an ancient Padanian folk theme" [https://www.youtube.com/watch?v=mEeKltGny04 YouTube] \| [https://web.archive.org/web/20201127014141/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Claudi%20Meneghin_%20Canon%20at%20the%20minor%20second%20on%20an%20ancient%20Pad.mp3 play]		** "Canon at the minor second on an ancient Padanian folk theme" [https://www.youtube.com/watch?v=mEeKltGny04 YouTube] \| [https://web.archive.org/web/20201127014141/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Claudi%20Meneghin_%20Canon%20at%20the%20minor%20second%20on%20an%20ancient%20Pad.mp3 play]
	** "Canon 2 in 1 on "Ah! vous dirai-je, maman" at the diminished fifth" [https://www.youtube.com/watch?v=6_YVhwArGTI YouTube] \| [https://web.archive.org/web/20201127013943/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Claudi%20Meneghin_%20Canon%202%20in%201%20on%20_Ah_%20vous%20dirai-je,%20maman_%20.mp3 play]		** "Canon 2 in 1 on "Ah! vous dirai-je, maman" at the diminished fifth" [https://www.youtube.com/watch?v=6_YVhwArGTI YouTube] \| [https://web.archive.org/web/20201127013943/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Meneghin/Claudi%20Meneghin_%20Canon%202%20in%201%20on%20_Ah_%20vous%20dirai-je,%20maman_%20.mp3 play]

			; [[Norokusi]]
			* [https://www.youtube.com/watch?v=ZjJSa9brfSY ''Suite No.6 (2025) for Piano in Quarter-comma Meantone Temperament''] (2025)
			* [https://www.youtube.com/watch?v=OZriKGVcXDM ''Ballade No.5 (2025) in C Major for Piano in Quarter-comma Meantone Temperament''] (2025)

	;[[Cam Taylor]]		;[[Cam Taylor]]

VectorGraphics at 17:18, 3 June 2025

2025-06-03T17:18:31Z

← Older revision		Revision as of 17:18, 3 June 2025
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	'''Quarter-comma meantone''' is the tuning of [[meantone]] temperament which makes the perfect fifth ([[3/2]]) the fourth root of 5, or in other words 696.578 [[cent]]s. This means the fifth is flattened by {{frac\|1\|4}} of the syntonic comma ([[81/80]] ratio) of 21.506{{cent}}, which is to say by 5.377{{cent}}, hence the name.		'''Quarter-comma meantone''' is the tuning of [[meantone]] temperament which makes the perfect fifth ([[3/2]]) the fourth root of 5, or in other words 696.578 [[cent]]s. This means the fifth is flattened by {{frac\|1\|4}} of the syntonic comma ([[81/80]] ratio) of 21.506{{cent}}, which is to say by 5.377{{cent}}, hence the name.

	Quarter-comma meantone is the tuning where the major third ([[5/4]]) is tuned pure, and the minor third ([[6/5]]) and the fifth are equally flat by {{frac\|1\|4}} syntonic comma. It is also the tuning where the whole tone is the exact [[geometric mean]] between the greater tone of [[9/8]] and the lesser tone of [[10/9]], and many argue that it is the only tuning which is strictly "mean tone". It is the minimax tuning for 5-limit meantone, meaning the maximum error on the [[5-odd-limit]] [[tonality diamond]] is minimized. It is also the minimax tuning for septimal meantone in the [[7-odd-limit\|7-]] and [[9-odd-limit]], and for meanpop (the version of 11-limit meantone which tunes 11/8 to the doubly diminished fifth, C–G𝄫) in the [[11-odd-limit]]. Moreover, historically it was the predominant tuning of Western common-practice music in the latter part of the Renaissance and the early modern (17th century) era.		Quarter-comma meantone is the tuning where the major third ([[5/4]]) is tuned pure, and the minor third ([[6/5]]) and the fifth are equally flat by {{frac\|1\|4}} syntonic comma. It is also the tuning where the whole tone is the exact [[geometric mean]] between the greater tone of [[9/8]] and the lesser tone of [[10/9]] (the "semiptolemaic major second" sqrt(5/4)), from which the term "meantone" is derived, and many argue that it is the only tuning which is strictly "mean tone". It is the minimax tuning for 5-limit meantone, meaning the maximum error on the [[5-odd-limit]] [[tonality diamond]] is minimized. It is also the minimax tuning for septimal meantone in the [[7-odd-limit\|7-]] and [[9-odd-limit]], and for meanpop (the version of 11-limit meantone which tunes 11/8 to the doubly diminished fifth, C–G𝄫) in the [[11-odd-limit]]. Moreover, historically it was the predominant tuning of Western common-practice music in the latter part of the Renaissance and the early modern (17th century) era.

	Because of all of these features, it has a certain claim to be considered the canonical meantone tuning and often "meantone" is taken to mean quarter-comma specifically. The traditional interval names, listed below, may be considered to have their older traditional tuning in the quarter-comma meantone tunings listed below. However, other tunings (besides [[12edo]] which is ubiquitous but not an especially good tuning for meantone) may be preferred. Note, for instance, that the doubly augmented second and the doubly diminished fourth are both neutral thirds, about 6{{c}} apart. In [[31edo]], these two intervals are enharmonically equivalent.		Because of all of these features, it has a certain claim to be considered the canonical meantone tuning and often "meantone" is taken to mean quarter-comma specifically. The traditional interval names, listed below, may be considered to have their older traditional tuning in the quarter-comma meantone tunings listed below. However, other tunings (besides [[12edo]] which is ubiquitous but not an especially good tuning for meantone) may be preferred. Note, for instance, that the doubly augmented second and the doubly diminished fourth are both neutral thirds, about 6{{c}} apart. In [[31edo]], these two intervals are enharmonically equivalent.

← Older revision		Revision as of 21:50, 4 October 2026
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	; {{W\|Ferenc Farkas}}		; {{W\|Ferenc Farkas}}
	* [https://www.youtube.com/watch?v=SkZ2FDXMzlA ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov \| Farkas Ferenc Hungarian Dances''] (1961; performed in 2024 by {{W\|Bálint Karosi}})		* [https://www.youtube.com/watch?v=SkZ2FDXMzlA ''The 1699 Meantone Organ from Rupea at the Black Church in Brasov \| Farkas Ferenc Hungarian Dances''] (1961; performed in 2024 by {{W\|Bálint Karosi}})

			; The {{W\|Fitzwilliam Virginal Book}} (various composers)
			* [https://www.youtube.com/playlist?list=WL ''The Fitzwilliam Virginal Book: Dances by various composers''] ((late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.2'') — performed on harpsichord by {{W\|Robert_Hill_(musician)\|Robert Hill}} (2015)
			** 00:06 {{W\|Thomas Morley}}: Alman (FVB II/152)
			** 01:28 Anonymous: Alman (FVB II/249)
			** 02:10 {{W\|William Byrd}}: Coranto (FVB II/241)
			** 03:08 {{W\|Giles Farnaby}}: A Toye (FVB II/270)
			** 04:28 {{W\|Martin Peerson}}: The Primerose (FVB II/271)

	; {{W\|Sergei Rachmaninoff}}		; {{W\|Sergei Rachmaninoff}}