Harmonic Series

Harmonic Series#

Musical instruments tune to the note A at a frequency of 514. The speed of sound in the air is 330 m/s at room temperature. An open-open tube (a flute) plays this note as its fundamental (first harmonic) while an open-closed tube (a clarinet) plays this note as its third harmonic.

Part 1#

What is the ratio of the effective length of the open-closed tube to the open-open tube is \(\frac{L\_{\text{clarinet}}}{L\_{flute}}\)?

Answer Section#

  • 5.14

  • 1.5

  • 0.321

  • 0.4815

  • 0.642

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.