Calculate octave span, upper or lower frequency, and 1/1 to 1/12 fractional-octave band centers and limits in Hz, kHz, or MHz.

Frequency calculation
Required: lower and upper frequency.

Octaves from Frequency Formula

The following two example problems outline the steps and information needed to calculate the Octaves from Frequency.

O = log (Fu / Fl) / log (2)

Variables:

  • #O is the Octaves from Frequency (number of octaves)
  • Fu is the upper frequency (hz) 
  • Fl is the lower frequency (hz) 

How to Calculate Octaves from Frequency?

The following steps outline how to calculate the Octaves from Frequency.

  1. First, determine the upper frequency (hz). 
  2. Next, determine the lower frequency (hz). 
  3. Next, gather the formula from above = #O = log (Fu/Fl) / log (2).
  4. Finally, calculate the Octaves from Frequency.
  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.

upper frequency (hz) = 50

lower frequency (hz) = 30

#O = log (Fu/Fl) / log (2) = ?