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Handel played on English organs with split keys. | ||||||||||||||||
Barbour, J. Murray, Tuning and Temperament, Da Capo Press, NY 1972, p108 |
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Handel in his Foundling Hopspital organ had 16 notes, tuned from d flat to a# in the series of Fifths in art. 15, . . . | |||||||||||||||
Helmholtz, Hermann, On The Sensations of Tone, Dover Publications, Inc., New York, 1954, p432 |
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Art. 15 The Pythagorean or Ancient Greek Temperament in Helmholtz On The Sensations of Tone, p433 has c' = 0¢; b'# = 23.5¢; d' flat = 90.2¢; c'# = 113.7¢; e' double flat = 180.5; d' = 203.9¢; c'## = 227.4¢; e' flat = 294.1¢; d'# = 317.6¢; f' flat = 384.4¢; e' = 407.8¢; f' 498.0¢; e'# = 521.5¢; g' flat = 588.3¢; f'# = 611.7¢; a' double flat = 678.5¢; g' = 702.0¢; f'## = 725.4¢; a' flat = 792.2¢; g# = 815.6¢; b' double flat = 882.4¢; a' = 905.9¢; g'## = 929.3¢; b' flat = 996.1¢; a# = 1019.6¢; c' flat = 1086.3¢; b' = 1109.8¢; c" = 1200¢ | ||||||||||||||||
note | actual tuning | 72 ET | ||||||||||||||
c | 0 | 0 | ||||||||||||||
g | 702.0¢ | 700¢ | ||||||||||||||
d | 203.9¢ | 200¢ | ||||||||||||||
a | 905.9¢ | 900¢ | ||||||||||||||
e | 407.8¢ | 400¢ | ||||||||||||||
b | 1109.8¢ | 1117¢ | ||||||||||||||
f# | 611.7¢ | 617¢ | ||||||||||||||
c# | 113.7¢ | 117¢ | ||||||||||||||
g# | 815.6¢ | 817¢ | ||||||||||||||
d# | 317.6¢ | 317¢ | ||||||||||||||
a# | 1019.6¢ | 1017¢ | ||||||||||||||
f | 498¢ | 500¢ | ||||||||||||||
b flat | 996.1¢ | 1100¢ | ||||||||||||||
e flat | 294.1¢ | 300¢ | ||||||||||||||
a flat | 792.2¢ | 800¢ | ||||||||||||||
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Hall Overton told me that jazz pianists could take full advantage of "out-of-tune" pitches on a piano. Rick Tagawa, c1968
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"Several experimentalists have managed to survive in the predominantly conservative musical culture of Mexico. Julian Carrillo (1875-1965), an early western- world experimenter with microtonal scales, is perhaps best known. The practically unknown Augusto Novaro (1891- 1960) designed and built string instruments, guitars and pianos with experimental intonational arrangements, and published his treatise on a "Natural System of Music" in Mexico City in 1951." [Garland, Peter, "Selected Studies for Player Piano," Soundings Book 4, spring- summer 1977, Berkeley, California, p1] Julian Carrillo & the 13th Sound
Jesus Bernal, Organista Mexicano, teaches acoustics @ National Conservatory, Mexico
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"Several experimentalists have managed to survive in the predominantly conservative musical culture of Mexico. Julian Carrillo (1875-1965), an early western- world experimenter with microtonal scales, is perhaps best known. The practically unknown Augusto Novaro (1891- 1960) designed and built string instruments, guitars and pianos with experimental intonational arrangements, and published his treatise on a "Natural System of Music" in Mexico City in 1951." Garland ,Peter, "Selected Studies for Player Piano," Soundings Book 4, spring- summer 1977, Berkeley, California, p1]
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Stravinsky: Once at a Border - Director: Tony Palmer (1982) Stravinsky's Journeys Documentary | Stravinsky: Myths & Rituals
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September 1, 2021 |