Solution to Exercise 3.1:
- The part of the string that can vibrate is shorter. The finger becomes the new "end" of the string.
- The new sound wave is shorter, so its frequency is higher.
- It sounds higher; it has a higher pitch.
Solution to Exercise 3.2:
There are many, but here are some of the most familiar:
- All xylophone-type instruments, such as marimba, vibraphone, and glockenspiel
- Handbells and other tuned bells
- Steel pan drums
Solution to Exercise 3.3:
Although trained musicians will generally agree that a particular sound is reedy, thin, or full, there are no hard-and-fast, right-or-wrong answers to this exercise.
Solution to Exercise 3.4:
- The eighth harmonic
- The fifth and tenth harmonics; the sixth and twelfth harmonics; the seventh and fourteenth harmonics; and the eighth and sixteenth harmonics
- The note that is one octave higher than a harmonic is also a harmonic, and its number in the harmonic series is twice (2 X) the number of the first note.
- The eighth, sixteenth, and thirty-second harmonics will also be A's.