Evaluate duration from raw audio array data of sound fragment

Question

How to evaluate duration of sound fragment from raw array data?

I get raw data from microphone and I know the sample rate and the number of channels. I need mathematical formula to calculate the duration of this audio fragment.

I found out this:

1000 * bytesLength / 4 / rate_hz

But I think it's wrong.

Answer 1

Salient factors balancing off quality against resource demands for raw audio in PCM format :

 Attribute     Typical Values
____________  _________________
bit_depth     16 bits per sample (8 bits per byte)        ... higher the better
num_channels  2 for stereo (or 1 for mono), lets use stereo
sample_rate   44100 samples per second (CD quality audio) ... higher the better

This formula expresses relationship between above variables :

storage_in_bytes / second == num_channels * sample_rate * bit_depth / 8

solving for seconds : (here is the equation you ask for)

duration in seconds = storage_in_bytes/(num_channels * sample_rate * (bit_depth/8))

plugging in using above variables we need to supply either storage_in_bytes or duration in seconds, so if

storage_in_bytes = 2 mb = 2097152 bytes

then we get

duration = 2097152/(2 * 44100 * (16/8)) = 11.89 seconds