Octave Span From Frequency Ratio
Calculator

Inputs

Interval (octaves)
4

Results

Interval (octaves)
4
Interval (semitones)
48
Frequency ratio
16

Music and audio results

Interval (octaves)4
Interval (semitones)48
Frequency ratio16

formula-map diagram

Interval (octaves)
4
Interval (semitones)
48
Frequency ratio
16

Musical and acoustic relationship

Formula

octaves = log₂(f₂ ÷ f₁)

= 4

Note

This result is a simplified model: it applies the displayed standard formula to the values you entered, assuming twelve-tone equal temperament, a speed of sound of 343 m/s in dry air at 20 °C, an ideal free field with no reflections or air absorption, purely resistive speaker loads and Sabine's diffuse-field assumption. Real rooms, instruments, codecs and amplifiers depart from these idealisations, so measure with proper instruments for critical work.

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