(J) And give in approximate notation, those which are attached to the octave, fifth, fourth, and major third.
Ans. (a) See p. 135.
(*) See pp. 130 and p. 134.
4. In equal temperament, to what extent does each interval of the major scale depart from accuracy ?
Ans.See pp. 241, 242, 244.
5 and 6. Not acoustical questions.
7. Write out the fractions representing the vibration ratios which each interval of the major scale bears to that next below it.
Am.See p. 227.
8 (a) What was the Mean Tone system of Temperament ?
(b) About what period was it in general use ?
Am. (a) See pp. 234 to 238.
(4) It prevailed all over the Continent and England for centuries. It disappeared from pianofortes in England about 1840, but at a later date from organs. All the organs at the Exhibition of 1851 were tuned in this temperament.
9. Describe any one of the modern contrivances for obtaining "just intonation."
Am.See pp. 245, 246.
10. Not an acoustical question.
ROYAL VICTORIA UNIVERSITY.
First Mus.B., 1896. Three Hours.
1. (a) How has it been ascertained that the velocity of sound in air is about 1,120 ft. per second ?
(b) How does a rise in the thermometer affect the velocity ? Am. (a) See p. 270. (4) See p. 100.
2. Define the terms amplitude, wave-length, phase, and form of a vibration.
Am See p. 22 and p. 258.
3. From the major and minor harmonic triads 1, 1^, 1£ ; and 1» 1^-, 1\, deduce the intervals of (a) the diatonic scale; (b) comma, (e) Pythagorean comma, and (d) diesis.
Ans. (a) Multiply the ratios 1 : 1£ : 1| by 4, and we get 4:5:6. Then proceed as at pp. 45, 46, and 47. (*) See p. 50. (e) See p. 239.
(d) The Greater Diesis is the difference between an octave and three major thirds.
-f xf x*x ! = -;-!!