Analysis of musical‐instrument tones

References

1. 1. D. C. Miller, The Science of Musical Sounds, New York (1926) pp. 58–62;
   E. G. Richardson, The Acoustics of Orchestral Instruments and the Organ, London (1929), p. 15;
   J. Jeans, Science and Music, Cambridge (1937), p. 84;
   W. T. Bartholomew, Acoustics of Music, New York (1942), p. 12;
   L. E. Kinsler, A. R. Fry, Fundamentals of Acoustics, John Wiley and Sons, New York (1962), p. 402;
   R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics, Addison Wesley, Reading, Mass. (1963) pp. 50–53.

2. 2. D. C. Miller, ref. 1;
   E. G. Richardson, ref. 1;
   L. J. Sivian, H. K. Dunn, S. D. White, J. Acoust. Soc. Am. 2, 330 (1931); https://doi.org/JASMAN
   H. F. Olson, Musical Engineering, McGraw‐Hill, New York (1952);
   C. A. Culver, Musical Acoustics, Philadelphia (1947);
   P. R. Lehman, J. Acoust. Soc. Am. 36, 1649 (1964).https://doi.org/JASMAN

3. 3. M. V. Mathews, Science 142, 553 (1963), https://doi.org/SCIEAS
   and The Technology of Computer Sound Generation and Processing, MIT Press, Boston (1969).

4. 4. H. H. Hall, J. Acoust. Soc. Am. 8, 257 (1937).https://doi.org/JASMAN

5. 5. H. von Helmholtz, Sensations of Tone (trans. A. J. Ellis), London (1885).

6. 6. C. Stumpf, Die Sprachlaute, Berlin (1926), p. 374.

7. 7. P. Schaeffer, Gravesaner Blätter 17, 50 (1960),
   and Traité des objets musicaux, Ed. du Seuil, Paris (1966).

8. 8. J. C. Tenney, Gravesaner Blätter 26, 106 (1965).

9. 9. W. Backaus, Z. Techn. Physik 13, 31 (1932);
   F. Trendelenburg, Z. Techn. Physik 16, 513 (1936);
   A. W. Nolle, C. P. Boner, J. Acoust. Soc. Am. 13, 149 (1941); https://doi.org/JASMAN
   E. G. Richardson, J. Acoust. Soc. Am. 26, 960 (1954); https://doi.org/JASMAN
   L. Pimonow, Vibrations en Régime Transitoire, Dunod, Paris (1962).

10. 10. C. V. Raman, Indian Assoc. Cultivation of Science, Bull. No. 16, 11 (1918);
    H. Bouasse, Instruments à Vent, Paris (1929);
    E. Meinel, Akust. Zeits. 5, 309 (1940); https://doi.org/AKZTAG
    F. A. Saunders, J. Acoust. Soc. Am. 17, 159 (1946); https://doi.org/JASMAN
    J. C. Webster, J. Acoust. Soc. Am. 21, 208 (1949); https://doi.org/JASMAN
    R. W. Young, Acustica 4, 259 (1954); https://doi.org/ACUSAY
    B. Bladier, “Contribution à l’étude du violoncelle,” in Acoustique Musicale, CNRS, Paris (1959);
    A. H. Benade, Sci. Amer. 203, no. 4, p. 145 (1960); https://doi.org/SCAMAC
    E. Leipp, Annales des Télécommunications 17, 99 (1962);
    C. M. Hutchins, Science 138, no. 3541, p. 73 (1962); https://doi.org/SCIEAS
    J. Backus, Sound 2, no. 3, p. 22 (1963);
    J. C. Schelleng, J. Acoust. Soc. Am. 35, 326 (1963).https://doi.org/JASMAN

11. 11. M. V. Mathews, J. E. Miller, E. E. DavidJr, J. Acoust. Soc. Am. 33, 179 (1961).https://doi.org/JASMAN

12. 12. J. C. Risset, “Computer Study of Trumpet Tones,” Bell Telephone Laboratories, Murray Hill, N.J. (1966)
    and J. Acoust. Soc. Am. 38, 912 (1965) (abstract only).https://doi.org/JASMAN

13. 13. M. V. Mathews, J. E. Miller, J. R. Pierce, J. Tenney, “Computer Study of Violin Tones,” Bell Telephone Laboratories, Murray Hill, N.J. (1966),
    and J. Acoust. Soc. Am. 38, 912 (1965) (abstract only).https://doi.org/JASMAN

14. 14. H. Fletcher, E. DonnellBlackham, R. Stratton, J. Acoust. Soc. Am. 34, 749 (1962).https://doi.org/JASMAN

15. 15. M. D. Freedman, J. Acoust. Soc. Am. 41, 793 (1967); https://doi.org/JASMAN
    J. W. Beauchamp, “A Computer System for Time‐Variant Harmonic Analysis and Synthesis of Musical Tones,” Technical Report no. 15, U. of Illinois (1967);
    W. Strong, M. Clark, J. Acoust. Soc. Am. 41, 39 (1967).https://doi.org/JASMAN

16. 16. C. M. Hutchins, PHYSICS TODAY 20, no. 2, p. 23 (1967).https://doi.org/PHTOAD

17. 17. M. V. Mathews, J. R. Pierce, N. Guttman, Gravesaner Blätter 23–24, 119 (1962);
    J. R. Pierce, M. V. Mathews, J. C. Risset, Gravesaner Blätter 27–24, 85 (1965).