dB Per Octave Calculator

Formula

The formula to calculate the dB per octave is:

\[ \text{dB/Octave} = \frac{\text{End Level} - \text{Start Level}}{\log_2\left(\frac{\text{End Frequency}}{\text{Start Frequency}}\right)} \]

Where:

Start Frequency (Hz) – The frequency at the beginning of the range.
End Frequency (Hz) – The frequency at the end of the range.
Start Level (dB) – The level in decibels at the start frequency.
End Level (dB) – The level in decibels at the end frequency.
dB/Octave – The change in level for each octave between the start and end frequencies.

dB Per Octave: A measure of how much the level in decibels changes for each octave in frequency. An octave is a doubling of frequency, and this calculation is often used in audio engineering to describe the behavior of filters, amplifiers, and other audio equipment across the frequency spectrum.

Let's say the start frequency is 100 Hz, the end frequency is 800 Hz, the start level is 50 dB, and the end level is 30 dB. Using the formula:

\[ \text{dB/Octave} = \frac{30 - 50}{\log_2\left(\frac{800}{100}\right)} \]

We get:

\[ \text{dB/Octave} = \frac{-20}{3} = -6.67 \]

So, the dB per octave is -6.67.