Octaves Per Minute Calculator

Formula

The formula to calculate octaves per minute (O) is:

\[ O = \frac{\log_2(F)}{T} \]

Where:

\( O \) is the octaves per minute.
\( F \) is the starting frequency (Hz).
\( T \) is the time (minutes).

What is Octaves Per Minute?

Octaves per minute is a measure of how quickly a frequency doubles (or halves) over time. In music, an octave is the interval between one musical pitch and another with double its frequency. This calculation is useful in various fields such as music theory, acoustics, and signal processing. By determining how many octaves a frequency changes per minute, you can analyze the rate of frequency modulation or pitch shift.

Example Calculation

Consider an example where:

Starting Frequency (F): 440 Hz
Time (T): 2 minutes

Using the formula to calculate Octaves Per Minute:

\[ O = \frac{\log_2(440)}{2} \approx \frac{8.78}{2} = 4.39 \]

This means that the frequency changes by approximately 4.39 octaves per minute.