What is the mathematical relationship between the frequencies of musical notes that we perceive identical, but at different octaves?

Humans have a logarithmic perception of the majority of uncountable and some countable things. A0, which is percieved as the basic note, has a frequency of 27.50 Hz. A1=55 Hz, and A2=110 Hz. You might notice that each time we increase the octave, we multiply the previous frequency by 2. Hence, the formula for the note A would be:      An=27.52n Hz If we check this, then A7=27.5128=3520 Hz, which, if you check any sources, you will find is correct.

CP

Related Physics A Level answers

All answers ▸

How might you use sound waves to smash a glass? What are other examples of resonance in everyday life?


Give the definition simple harmonic motion and write down the defining equation for such motion stating the meaning of any symbols involved.


How do I find the x and y components of a vector?


Describe and explain the vertical motion of a parachutist which jumps out of an aeroplane at time t=0 and then releases the parachute shortly after reaching terminal velocity at time t=T. (Assume air resistance is not negligible).