Golden meantone: Difference between revisions

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cents, approximately 696.214 cents.

This can be approached by successively taking soft child [[mos scale]]s of pentic ([[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]], [[19L 12s]], etc). Each time, the generator range "narrows in" on the golden diatonic generator.

This can be approached by successively taking soft child [[mos scale]]s of pentic ([[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]], [[19L 12s]], etc). Each time, the generator range "narrows in" on the golden diatonic generator.

Equivalently, [[edo]] systems in a Fibonacci style recurrence beginning with 7 and 12 are successively better approximations to this ideal.

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; {{W|Johann Sebastian Bach}}

* [https://www.youtube.com/watch?v=fwAsBxE7pj0 ''"Ricercar a 6" from The Musical Offering, BWV 1079] (1747) – tuned into golden meantone by [[Claudi Meneghin]] (2021)

; {{W|John Bull (composer)|John Bull}}

* ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'')

** [https://www.youtube.com/watch?v=Ku32F-zEtmU In a 24 note per octave well-tempered tuning system] that uses both golden meantone fifths and [[peppermint]] fifths (tuning specification in video description) – rendered by [[Claudi Meneghin]] (2020)

** [https://www.youtube.com/watch?v=_R-CQp1Bsss In golden meantone (by itself)] – rendered by [[Claudi Meneghin]] (2026)

; {{W|Johann Pachelbel}}

@@ Line 17: / Line 17: @@
 cents, approximately 696.214 cents.
-This can be approached by successively taking soft child [[mos scale]]s of pentic ([[2L 3s]], [[5L 2s]], [[7L 5s]], [[12L 7s]], [[19L 12s]], etc). Each time, the generator range "narrows in" on the golden diatonic generator.
+This can be approached by successively taking soft child [[mos scale]]s of pentic ([[2L&nbsp;3s]], [[5L&nbsp;2s]], [[7L&nbsp;5s]], [[12L&nbsp;7s]], [[19L&nbsp;12s]], etc). Each time, the generator range "narrows in" on the golden diatonic generator.
 Equivalently, [[edo]] systems in a Fibonacci style recurrence beginning with 7 and 12 are successively better approximations to this ideal.
@@ Line 114: / Line 114: @@
 ; {{W|Johann Sebastian Bach}}
 * [https://www.youtube.com/watch?v=fwAsBxE7pj0 ''"Ricercar a 6" from The Musical Offering, BWV 1079] (1747) – tuned into golden meantone by [[Claudi Meneghin]] (2021)
+; {{W|John Bull (composer)|John Bull}}
+* ''Fantasia «Ut Re Mi Fa Sol La»'' (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'')
+** [https://www.youtube.com/watch?v=Ku32F-zEtmU In a 24 note per octave well-tempered tuning system] that uses both golden meantone fifths and [[peppermint]] fifths (tuning specification in video description) – rendered by [[Claudi Meneghin]] (2020)
+** [https://www.youtube.com/watch?v=_R-CQp1Bsss In golden meantone (by itself)] – rendered by [[Claudi Meneghin]] (2026)
 ; {{W|Johann Pachelbel}}