Newton and music: From the microcosm to the macrocosm

Notes

• Heninger , S. K. 1974 . Touches of Sweet Harmony: Pythagorean Cosmology and Renaissance Poetics San Marino, CA
   Google Scholar
• Spitzer , L. 1963 . Classical and Christian Ideas of World Harmony: Prolegomena to the Word ‘Stimmung’ Baltimore, MD
   Google Scholar
• Crombie , A. C. 1971 . “ ‘Mathematics, Music and Medical Science’ ” . In Actes du XIIme congrès international d'histoire des sciences, Paris, 1968 295 – 310 . Paris
   Google Scholar
• Drake , S. 1970 . ‘Renaissance Music and Experimental Science’ . Jl. History of Ideas , 31 : 483 – 500 .
   Web of Science ®Google Scholar
• 1984 . Quantifying Music: the Science of Music at the First Stage of the Scientific Revolution, 1580–1650 , Dordrecht : Reidel Publishing Co. .
   Google Scholar
• Kassler , J. C. 1979 . The Science of Music in Britain, 1714–1830: A Catalogue of Writings, Lectures and Inventions , 2 vols , i xxv – lxii . New York & London : Garland Publishing Inc. .
   Google Scholar
• 1982 . ’Music as a Model in Early Science’ . History of Science , 20 : 103 – 139 . idem
   Google Scholar
• Sadie , S. , ed. 1980 . The New Grove Dictionary of Music and Musicians 20 vols , xiii 170 – 2 . London
   Google Scholar
• McGuire , J. E. and Rattansi , P. M. 1966 . ‘Newton and the “Pipes of Pan” ‘ . Notes and Records of the Royal Society , 21 : 108 – 143 .
   Google Scholar
• Westfall , R. 1980 . Never at Rest: A Biography of Isaac Newton , 83 Cambridge University Press .
   Google Scholar
• Carpenter , N. C. 1958 . Music in the Medieval and Renaissance Universities , 76 – 8 . Oklahoma : Norman .
   Google Scholar
• Gasgoine , J. 1985 . ‘The Scientific Revolution and the Universities: the Case of Newton and Restoration Cambridge’ . Hist. Sci. , 23 : 391 – 434 .
   Google Scholar
• McGuire , J. E. and Tamny , M. 1983 . Certain Philosophical Questions: Newton's Trinity Notebook Cambridge
   Google Scholar
• Whiteside , D. T. 1964 . ‘Isaac Newton: Birth of a Mathematician’ . Notes and Records , 19 : 53 – 62 .
   Google Scholar
• Lippmann , E. A. 1964 . Musical Thought in Ancient Greece London
   Google Scholar
• Henderson , I. 1957 . “ ‘Ancient Greek Music’ ” . In New Oxford History of Music , Edited by: Wellesz , E. i 336 – 403 . Oxford University Press .
   Google Scholar
• Burket , W. 1972 . Lore and Science in Ancient Pythagoreanism Edited by: Minar , E. L. Cambridge
   Google Scholar
• Stahl , W. H. , ed. 1952 . Macrobius’ Commentary on the Dream of Scipio 3 – 65 . 185 – 90 . New York
   Google Scholar
• Cohen . Quantifying Music , 1 – 7 .
   Google Scholar
• Lippmann . Musical Thought , 45 – 86 .
   Google Scholar
• Kassler . ‘Music as a Model’ . 113 – 5 .
   Google Scholar
• Barbour , J. M. 1953 . Tuning and Temperament , East Lansing, MI : Michigan State College Press .
   Google Scholar
• Lindley , M. ‘Temperaments’ . New Grove , xviii 660 – 74 .
   Google Scholar
• 1984 . Lutes, Viols and Temperaments , Cambridge University Press . idem
   Google Scholar
• Lindley . Lutes , 30 – 2 .
   Google Scholar
• Palisca , C. V. 1985 . Humanism in Renaissance Musical Thought , Yale University Press .
   Google Scholar
• Shirley , J. W. and Hoeniger , F. D. , eds. 1985 . “ ‘The Science of Sound and Musical Practice’ ” . In Science and Arts in the Renaissance , 59 – 73 . Washington and London : Associated University Presses . idem
   Google Scholar
• Palisca , C. V. 1961 . “ ‘Scientific Empiricism in Musical Thought’ ” . In Seventeenth Century Science and the Arts Edited by: Rhys , H. H. 91 – 137 . Princeton
   Google Scholar
• Walker , D. P. 1978 . Studies in Musical Science in the Late Renaissance Edited by: Brill , E. J. 14 – 26 . Leiden and London
   Google Scholar
• 1970 . Galileo Studies: Personality, Tradition and Revolution 43 – 62 . Michigan idem
   Google Scholar
• Palisca . ‘Sound and Musical Practice’ . 71
   Google Scholar
• Hollander , J. 1961 . The Untuning of the Sky: Ideas of Music in English Poetry 1500–1700 61 Princeton
   Google Scholar
• Finney , G. L. 1961 . Musical Backgrounds for English Literature: 1580–1650 , 75 155 New Brunswick, NJ : Rutgers University Press .
   Google Scholar
• Gouk , P. M. 1984 . “ ‘Music in Francis Bacon's Natural Philosophy’ ” . In Francis Bacon: Terminologia e fortuna nel XVII secolo , Edited by: Fattori , M. 139 Rome : Edizioni dell’ Ateneo .
   Google Scholar
• Mersenne , M. 1635 . Harmonicorum libri xxl 14 – 15 . Paris lib. 2, prop
   Google Scholar
• Galilei , G. 1974 . Two New Sciences (1638) Edited by: Drake , S. 96 – 108 . Madison, WI
   Google Scholar
• Cohen . Quantifying Music , 75 – 114 .
   Google Scholar
• Dostrovsky , S. 1974/5 . ‘Early Vibration Theory: Physics and Music in the Seventeenth Century’ . Archive for the History of Exact Sciences , 14 : 169 – 218 .
   Web of Science ®Google Scholar
• Hunt , F. V. 1978 . Origins in Acoustics: The Science of Sound from Antiquity to the Age of Newton , 109 – 140 . New Haven and London : Yale University Press .
   Google Scholar
• Gouk , P. M. 1982 . ‘Acoustics in the Early Royal Society 1660–1680’ . Notes and Records , 36 : 155 – 175 .
   Web of Science ®Google Scholar
• Brouncker , W. 1653 . Renatus Des‐Cartes Excellent Compendium of Musick: With Necessary and Judicious Animadversions Thereupon. London
   Google Scholar
• Cohen . Quantifying Music , 34 – 45 .
   Google Scholar
• Lindley . Lutes , 32 – 6 .
   Google Scholar
• Gouk , P. M. 1982 . “ ‘Music in the Natural Philosophy of the Early Royal Society’ ” . 250 – 268 . London University . Ph.D. thesis
   Google Scholar
• Helmholtz , H. L. F. 1885 . On the Sensations of Tone as a Physiological Basis for the Theory of Music 446 – 51 . London
   Google Scholar
• Barbour . Tuning and Temperament , 107 – 32 .
   Google Scholar
• Holder . Treatise , 105 – 6 .
   Google Scholar
• Westfall . Never at Rest , 156 – 75 .
   Google Scholar
• Gouk , P.M. 1980 . ‘The Role of Acoustics and Music Theory in the Scientific Work of Robert Hooke’ . Annals of Science , 37 : 559 – 585 .
   Google Scholar
• Kassler , J. C. and Oldroyd , D. C. 1983 . ‘Robert Hooke's Trinity College ‘Musick Scripts’, his Music Theory and the Role of Music Theory in his Cosmology’ . ibid. , 40 : 559 – 595 .
   Google Scholar
• Hooke . Micrographia , 15
   Google Scholar
• Gouk . ‘Music in the Early Royal Society’ . 33 – 61 .
   Google Scholar
• Shapiro , A. E. 1973 . ‘Kinematic Optics: A Study of the Wave Theory of Light in the Seventeeth Century’ . Arch.Hist.Exact Sci. , 11 : 134 – 266 .
   Web of Science ®Google Scholar
• Koyré , A. and Cohen , I. B. , eds. 1972 . Isaac Newton's Philosophiae Naturalis Principia Mathematica. The Third Edition (1726) , 2 vols , i 510 – 34 . Cambridge University Press .
   Google Scholar
• Dostrovsky . ‘Early Vibration Theory’ . 209 – 218 .
   Google Scholar
• Shapiro , A. E. 1973 . ‘Newton's “Achromatic” Dispersion Law: Theoretical Background and Experimental Evidence . Arch.Hist.Exact Sei. , 11 : 134 – 266 .
   Web of Science ®Google Scholar
• 1980 . ‘The Evolving Structure of Newton's Theory of White Light and Colour’ . Isis , 71 : 211 – 235 .
   Web of Science ®Google Scholar
• 1984 . The Optical Papers of Isaac Newton. Vol. 1 Optical Lectures 1670–1672 Cambridge
   Google Scholar
• Bechler , Z. 1973 . ‘Newton's Search for a Mechanistic Model of Colour Dispersion’ . Arch.Hist.Exact Sci. , 11 : 1 – 37 .
   Web of Science ®Google Scholar
• Turnbull , H. W. , eds. 1959–77 . The Correspondence of Isaac Newton , 7 vols , i 92 – 107 . 110 – 14 . Cambridge University Press .
   Google Scholar
• Sabra , A.I. 1967 . Theories of Light from Descartes to Newton 187 – 192 . 233 – 4 . London
   Google Scholar
• Westfall , R. 1963 . ‘Newton's Reply to Hooke and the Theory of Colours’ . Isis , 54
   Google Scholar
• Bechler , Z. 1975 . ‘The Disagreeable Case of Newton and Achromatic Reflection’ . British Journal for the History of Science , 8 : 101 – 126 .
   Web of Science ®Google Scholar
• Dobbs , B. J. T. 1975 . The Foundations of Newton's Alchemy , 194 – 232 . Cambridge University Press .
   Google Scholar
• 1982 . ’Newton's Alchemy and his Theory of Matter’ . Isis , 73 : 511 – 28 . idem
   Web of Science ®Google Scholar
• Newton . Correspondence , i 362 – 89 .
   Google Scholar
• Shapiro . Newton's Optical Papers , 542 – 7 .
   Google Scholar
• Newton . Correspondence , i 376 – 7 .
   Google Scholar
• Shapiro . Newton's Optical Papers , 544 – 5 .
   Google Scholar
• Bechler . ‘Newton's Search for a Mechanistic Model’ . 20 – 21 .
   Google Scholar
• Westfall . Never at Rest , 638 – 49 .
   Google Scholar
• McGuire , J. E. 1968 . ‘Force, Active Principles, and Newton's Invisible Realm’ . Ambix , 15 : 154 – 208 .
   Google Scholar
• Casini , P. 1984 . ‘Newton: the Classical Scholia’ . Hist.Sci. , 22 : 1 – 58 . 8
   Google Scholar
• McGuire , J. E. 1977 . “ ‘Neoplatonism and Active Principles: Newton and the Corpus Hermeticum ” . In Hermeticism and the Scientific Revolution Edited by: Westman , R. S. and McGuire , J. E. Los Angeles
   Google Scholar
• Jacquot , J. 1966 . Thomas Mace, Mustek's Monument , ii xxx – xxxvi . Paris : C.N.R.S. .
   Google Scholar
• Crossley , J. , ed. 1847 . The Diary and Correspondence of John Worthington , i 27 – 30 . Manchester : Chetham Society Publications .
   Google Scholar
• Newton . Correspondence , i 359 – 60 .
   Google Scholar
• Mace . Mustek's Monument , 267 – 70 .
   Google Scholar
• Mace , D. T. 1964 . ‘Musical Humanism, the Doctrine of Rhythmus and the St. Cecilia Odes of Dryden’ . Jl. Warburg and Courtauld Insts , 27
   PubMedGoogle Scholar
• Walker , D. P. 1941 . ‘Musical Humanism in the 16th and Early 17th Centuries’ . Music Review , 2 : 1 – 13 . 111 – 121 . 220 – 227 . 288 – 308 .
   Google Scholar
• Walker , D. P. 1985 . Music, Spirit and Language in the Renaissance , Edited by: Gouk , P. M. London : Variorum .
   Google Scholar
• Harrison , J. 1978 . The Library of Isaac Newton 231 Cambridge
   Google Scholar
• New Grove , xvi 426 – 7 .
   Google Scholar
• Gouk . ‘Music in the Early Royal Society’ . 218 – 31 .
   Google Scholar
• Meibom , M. 1652 . Antiquae musicae auctores septem Graece et Latine 2 vols , Amsterdam
   Google Scholar
• Wallis , J. 1682 . Claudii Ptolemaei harmonicorum libri très Oxford
   Google Scholar
• 1693–99 . “ ‘Manuelis Bryenni harmonica’ ” . In Opera mathematica 3 vols , iii 183 – 355 . 359 – 508 . Oxford
   Google Scholar
• Chilmead , E. 1672 . “ ‘De musica antiqua Graeca’ ” . In Annotationes in Eratosthenem et hymnos Dionysii Edited by: Fell , J. 56 – 69 . Oxford
   Google Scholar
• Vossius , I. 1672 . De poematum cantu et viribus rhythmi Oxford
   Google Scholar
• Dickreiter , M. 1973 . Der Musiktheoretiker Johannes Kepler Bern/Munich
   Google Scholar
• Walker . Musical Science , 34 – 62 .
   Google Scholar
• Castillejo , D. 1981 . The Expanding Force in Newton's Cosmos , Madrid : Ediciones de Arte y Bibliofilia .
   Google Scholar
• Westfall , R. S. 1982 . “ ‘Isaac Newton's Theologiae Gentilis Origines Philosophicae’ ” . In The Secular Mind: Transformations in Faith in Modern Europe , Edited by: Wager , W. Warren . 15 – 34 . New York : Holmes and Meier .
   Google Scholar
• Bechler , Z. , ed. 1982 . “ ’Newton's Theological Manuscripts’ ” . In Contemporary Newton Research , 129 – 143 . Dordrecht : Reidel . idem
   Google Scholar
• Walker . Musical Science , 27 – 33 .
   Google Scholar
• Newton . Correspondence , iv 272 – 3 .
   Google Scholar
• Kassler . Science of Music , ii 448 – 50 .
   Google Scholar
• Newton . Correspondence , iv 274 – 6 .
   Google Scholar
• Battestin , M. C. 1974 . The Providence of Wit: Aspects of Form in Augustan Literature and the Arts , 1 – 57 . Oxford University Press .
   Google Scholar