Course:PHYS341/2019/pre-reading/QM

Additional self-study for midterm on Feb. 15th.

1 In the Pythagorean system, a musical fifth above A4 (440 Hz) is E5 (660 Hz). What is the fundamental frequency of a note that is a musical fifth above A♭2 (fundamental 100 Hz)?

	(a) 101.5 Hz
	(b) 120 Hz
	(c) 150 Hz
	(d) 225 Hz
	(e) 320 Hz

2 In the Pythagorean system, what is the fundamental frequency of a note that is two musical fifths above A♭2 (fundamental 100 Hz)?

	(a) 103 Hz
	(b) 140 Hz
	(c) 150 Hz
	(d) 200 Hz
	(e) 225 Hz

3 For an equal temperament scale, which of the following statements (plural) are true?

	(a) All intervals have exact small-integer ratios.
	(b) Intervals of a third (minor and major), a fourth and a fifth are close to but not exactly small-integer ratios
	(c) The octave intervals are exactly 2:1.
	(d) The octave intervals are close to but not exactly 2:1.
	(e) All pairs of notes a semitone apart have the same frequency difference.
	(f) All pairs of notes a semitone apart have the same frequency ratio.
	(g) All pairs of notes any given musical interval apart have the same frequency ratio.

4 Which note is a musical fifth above G3?

	(a) G8
	(b) E3
	(c) E4
	(d) D3
	(e) D4