Octave Span From Frequency Ratio
Calculator
Interval (octaves)
4
Results
- Interval (octaves)
- 4
- Interval (semitones)
- 48
- Frequency ratio
- 16
Music and audio results
| Interval (octaves) | 4 |
| Interval (semitones) | 48 |
| Frequency ratio | 16 |
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.