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294                   HAND-BOOK OF ACOUSTICS.
Mus.Bac, Edinburgh, 1898.
Two Hours.
1.    Write the first 16 Partial Tones, taking as the fundamental Eb, and indicate those notes which do not agree with the actual sounds, saying whether these latter are sharper or flatter.
Ans.-E\i, Eb', Bb>, Eb3, G2, Bb2, Db3, Eb3, F3, G3, Ab, Bb3, B, Db4, D4, Eb4. See p. 72.
[The notes marked * are flatter than indicated, those marked + sharper.]
2.    Define the expressions Partials, Upper Partials, Overtones, and Harmonics.
Am.—See pp. 84, 71. Upper Partials are all the partials above the Fundamental. See also p. 267, No. 4.
3.    If the tone c" is produced by 528 vibrations, by how many vibrations are produced the tones C g" and d".
Ans.—C = c" -i- 8 = 528 -f- 8 = 66.
g" = c" X | = 528 X | = 264 X 3 = 792.
d" = c" X f = 528 X | = 66 X 9 = 594.
See Chapter V.
4.    What are the ratios of a major third, a minor third, and a major sixth?
Ans.—See p. 51.
5.    What causes the difference in the quality of tone of different instruments ; for instance, the flute, the clarinet, and the violin.
Ans.—See pp. 96, 109, 113.
6.    How do you explain the fact that the quality of tone of a piano­forte is changed by changing the place where the strings are struck by the hammers ?
Ans.—See pp. 94 and 95.
7.    Define the terms Difference Tones and Summation Tones. Ans.—See p. 135.
8.    What Difference Tones are produced by the following couples of tones :—d1 — a1 ; cl$ — a' ; e1 — g"J ?
Ans.—1st, d, nearly. 2nd, e. 3rd, E. See p. 130.
9.    What Summation Tones are produced by the same couples of tones ?