Mathematics and music theory: From Pythagoras to Rameau

Mathematical Intelligencer

Volumn 24, Issue 1, 2002, Pages 65-73

  Papadopoulos, Athanase ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036003414     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03025314     Document Type: Article

References (12)

1. Benno Artmann, The liberal arts, Math. Intelligencer 20 (1988), no. 3, 40-41.
2. Milton Babbitt, Past and present concepts of the nature and limits of music, International Musical Society Congress Reports 8 (1961), no. 1, 399.
3. J. M. Barbour, Music and ternary continued fractions, Amer. Math. Monthly 55 (1948), 545-555.
4. Jacques Chailley, "Rameau et la théorie musicale", La Revue Musicale, Numéro spécial 260, 1964.
5. Galileo Galilei, Discorsi e dimostrazioni matematiche intorno a due nuove scienze, in Vol XII of the Complete Works, Società Editrice Fiorentina, 1855.
6. G. D. Hasley and Edwin Hewitt, More on the superparticular ratios in music, Amer. Math. Monthly 79 (1972), 1096-1100.
7. Jamblichus (ca. 240 AD), The Life of Pythagoras, English translation by Thomas Taylor, London, John M. Watkins, 1965.
8. Johannes Kepler, Harmonices Mundi. (I have used the French translation with comments by J. Peyroux, Librairie A. Blanchard, 9 rue de Medicis, Paris, 1977.)
9. A. L. Leigh Silver, Musimatics or the nun's fiddle, Amer. Math. Monthly 78 (1971), 351-357.
10. J. Ph. Rameau, Complete Theoretical Writings, edited by R. Jacobi, a facsimile of original editions, published by the American Institute of Musicology, 1967.
11. C. Størmer, Sur une inéquation indéterminée, C. R. Acad. Sci. Paris 127 (1898), 752-754.
12. Theon of Smyrna (beginning of the second c. AD), Exposition of the mathematical knowledge useful for the reading of Plato. A bilingual (Greek-French) edition due to J. Dupuis (Paris 1892) is reprinted by Culture et Civilisation, 115 Av. Gabriel Lebon, Brussels, 1966.