Enter the starting frequency in Hertz (Hz) and the time in minutes into the calculator to determine the octaves per minute. This calculator helps in understanding the rate of frequency change over time.

Octaves Per Minute Formula

The following formula is used to calculate the octaves per minute.

O = log2(F) / T

Variables:

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

To calculate the octaves per minute, divide the logarithm base 2 of the starting frequency by the time in 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.

How to Calculate Octaves Per Minute?

The following steps outline how to calculate the Octaves Per Minute.


  1. First, determine the starting frequency (F) in Hertz (Hz).
  2. Next, determine the time (T) in minutes.
  3. Next, gather the formula from above = O = log2(F) / T.
  4. Finally, calculate the Octaves Per Minute (O).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Starting frequency (F) = 440 Hz (A4 note)

Time (T) = 2 minutes