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=27.52Hz 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 ▸

A spacecraft needs to be slowed down from a speed of 96m/s to 8.2m/s. This can be done by firing an object as the spacecraft is moving. If the mass of the spacecraft is 6730kg and the object is 50kg, calculate the velocity of the ejected object.


A student heats a bar of chocolate in the microwave for one minute. When they remove the bar they observe that there are patches of melted chocolate with unmelted chocolate between them. Suggest the mechanism of how this happens.


An electron is traveling at a velocity of 500m/s perpendicular to a uniform magnetic field. A force of magnitude 4.32 x10^(-16) N is acting on the electron, what is the magnetic flux density of the field?


The mercury atoms in a fluorescent tube are excited and then emit photons in the ultraviolet region of the elecrtomagnetic spectrum. Explain how the mercury atoms become excited.