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 most effective use of the equation sheet?


A cannon is fired at 30 degrees from the ground and the cannonball has initial velocity of 15 m/s. What is the height of the highest point the cannonball reaches and how far is this point horizontally from the cannon?


The mercury atoms in a fluorescent tube are excited and then emit photons in the ultraviolet region of the electromagnetic spectrum. Explain (i) how the mercury atoms become excited and (ii) how the excited atoms emit photons.


Calculating the hydrostatic force on a submerged body