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 ▸

What is the Schwarzschild radius of a black hole?


A box initially at rest is on a plank, of length 5m, that is elevated at an angle such that tan(a)=3/4. When it reaches the end of the plank it has velocity 5ms^-1. Calculate the average frictional force on the box.


How many fission event occur per second if a Uranium 235 Nuclear Reactor outputs 210MW of energy? Average Binding Energy per Nucleon of Uranium 235- 7.6 MeV Average Binding Energy per Nucleon of Products-8.5 MeV


An ice cube with a small iron ball in its centre is placed in a cup of water. 3.9 x 10-3kg of water in the cup is displaced and the volume of the ice cube is 4.0 x 10-6m3. Ice density: 1000 kg m-3 Iron density: 7800 kg m-3, what is the volume of the iron?