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

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
How many harmonics are there A2 and A3[the first octave]?
- only Harmonic 1st and 2nd.
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
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

genius_generous answered 1 year ago

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