Question

In: Physics

The note A2 has a frequency of 110 Hertz. Find all the harmonics of this fundamental...

The note A2 has a frequency of 110 Hertz. Find all the harmonics of this fundamental frequency up to A5, which has a frequency of 880 Hertz.

1] which of these harmonics are also A? [find the octaves].

2] How many harmonics are there A2 and A3[the first octave]?

3] How many harmonics are there between A3 and A4 [the second octaves]? Can you guess what notes they are?

4] How many harmonics are there between A4 and A5 [the third octave]? can you guess what notes they are?

Solutions

Expert Solution

  • all the harmonics of this fundamental frequency up to A5:
    • 1st harmonic - 110Hz --> Note A2
    • 2nd harmonic - 220Hz --> Note A3
    • 3rd harmonic - 330Hz
    • 4th harmonic - 440Hz --> Note A4
    • 5th harmonic - 550Hz
    • 6th harmonic - 660Hz
    • 7th harmonic - 770Hz
    • 8th harmonic - 880Hz --> Note A5
  • which has a frequency of 880 Hertz:
    • 8th harmonic
    • Note A5
  1. which of these harmonics are also A? [find the octaves]:
    • 1st Harmonic- N/A
    • 2nd Harmonic- one octave above
    • 4th Harmonic- two octave above
    • 8th Harmonic- three octave above
  2. How many harmonics are there A2 and A3[the first octave]?
    • only Harmonic 1st and 2nd.
  3. How many harmonics are there between A3 and A4 [the second octaves]? Can you guess what notes they are?
    • 2nd harmonic --> Note A3
    • 3rd harmonic --> Note E7
    • 4th harmonic --> Note A4
  4. How many harmonics are there between A4 and A5 [the third octave]? can you guess what notes they are?
    • 4th harmonic - 440Hz --> Note A4
    • 5th harmonic - 550Hz --> Note C5
    • 6th harmonic - 660Hz --> Note E5
    • 7th harmonic - 770Hz --> Note G5
    • 8th harmonic - 880Hz --> Note A5

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