Part 3 · Intervals: How Notes Relate, and How to Hear Them

Example 3.10

Waves in step and out of step

What you hear

Two pure tones together, 440 and 660 Hz (3:2, a Perfect 5th: smooth); a short rest; then 440 and 469.33 Hz (16:15, a minor 2nd: rough, a flutter of 29.33 a second), three seconds each

Every example in Part 3

• Example 3.1A melodic and a harmonic interval
• Example 3.2The thirteen simple intervals above C
• Example 3.3A Major 3rd and a Major 10th
• Example 3.4An interval and its inversion
• Example 3.5The interval listening challenge
• Example 3.6From smooth to rough
• Example 3.7Tension and release
• Example 3.8The harmonics of A4, one by one, then together
• Example 3.9Where you pluck changes the sound
• Example 3.10Waves in step and out of step
• Example 3.11The 7th harmonic
• Example 3.12A pure and a tempered Major 3rd