Octave bands are standardised frequency ranges used to divide the audible spectrum into segments for acoustic measurement, analysis, and design. Each octave band spans a frequency range where the upper frequency limit is exactly double the lower limit — just as each octave on a piano keyboard doubles the frequency. The six standard octave bands used in architectural acoustics (125, 250, 500, 1000, 2000, and 4000 Hz) cover the frequency range most critical for speech, music, and building noise.
Octave band analysis is the backbone of professional acoustic engineering. Every absorption coefficient table, every noise criteria curve, every reverberation time measurement, and every building code specification uses octave bands as its frequency framework.
Real-World Analogy
Imagine sorting a basket of fruit by size. You could measure each fruit individually to the nearest millimetre — accurate but overwhelming. Or you could use a set of nested sieves with progressively larger holes: tiny fruit falls through the first sieve, medium through the second, large through the third. Each sieve collects a range of sizes, giving you a quick, practical picture of the distribution.
Octave bands are acoustic sieves. Instead of analysing sound at every individual frequency from 20 Hz to 20,000 Hz (which would produce thousands of data points), octave band analysis collects all the energy within each frequency range into a single value. The result is a compact six-number or ten-number summary that captures the essential character of the sound.
Technical Definition
An octave band is defined by its centre frequency (f_c), its lower edge (f_L), and its upper edge (f_U):
- f_U = 2 x f_L (the upper edge is double the lower edge)
- f_c = sqrt(f_L x f_U) (the centre frequency is the geometric mean)
| Centre Frequency | Lower Edge | Upper Edge | Bandwidth |
|---|---|---|---|
| 31.5 Hz | 22.4 Hz | 44.7 Hz | 22.3 Hz |
| 63 Hz | 44.7 Hz | 89.1 Hz | 44.4 Hz |
| 125 Hz | 88.4 Hz | 176.8 Hz | 88.4 Hz |
| 250 Hz | 176.8 Hz | 353.6 Hz | 176.8 Hz |
| 500 Hz | 353.6 Hz | 707.1 Hz | 353.5 Hz |
| 1000 Hz | 707.1 Hz | 1414 Hz | 707 Hz |
| 2000 Hz | 1414 Hz | 2828 Hz | 1414 Hz |
| 4000 Hz | 2828 Hz | 5657 Hz | 2829 Hz |
| 8000 Hz | 5657 Hz | 11,314 Hz | 5657 Hz |
Notice that bandwidth doubles with each octave — the 4000 Hz band is 2829 Hz wide while the 125 Hz band is only 88 Hz wide. This logarithmic spacing matches human pitch perception: each band sounds like the same "width" even though the linear bandwidth increases.
The Core Six: 125 Hz to 4000 Hz
Architectural acoustics typically focuses on the six octave bands from 125 Hz to 4000 Hz. This range covers:
- 125-250 Hz: Bass — HVAC rumble, traffic noise, bass instruments, the warmth of speech
- 500-1000 Hz: Midrange — the fundamental frequencies of the human voice, most musical instruments
- 2000-4000 Hz: Treble — consonant sounds (s, t, k, f), vocal clarity, speech intelligibility
Third-Octave Bands
For more detailed analysis, one-third octave bands divide each octave into three sub-bands (with a frequency ratio of 2^(1/3) between consecutive centres). This provides 31 bands across the audible spectrum instead of 10, giving higher frequency resolution for tasks like noise source identification, vibration analysis, and precision transmission loss measurement.
Why It Matters for Design
Octave band analysis reveals what single-number ratings hide:
Balanced absorption. A room with NRC 0.70 ceiling tiles might seem well-treated, but octave band analysis could reveal alpha = 0.90 at 2000 Hz and alpha = 0.30 at 125 Hz. The room would sound boomy and bass-heavy despite the seemingly adequate NRC. Only by examining absorption at each octave band can you identify and correct this imbalance.
Noise criteria compliance. NR, NC, and RC curves specify maximum SPL at each octave band. A room might be compliant at all bands except 63 Hz (HVAC rumble) or 4000 Hz (diffuser hiss). Octave band data pinpoints the offending frequency range and guides the solution — bass traps for the 63 Hz problem, duct lining for the 4000 Hz problem.
Frequency-dependent RT60. A concert hall might have RT60 = 1.8 s at 500 Hz (ideal for orchestral music) but RT60 = 2.5 s at 125 Hz (too boomy). The octave band RT60 curve identifies the problem and guides the treatment — low-frequency absorption is needed, not broadband absorption.
Material selection. Two materials might have the same NRC of 0.75 but completely different octave band profiles. Material A might peak at high frequencies (good for speech clarity) while Material B absorbs broadly including low frequencies (good for bass control). Octave band data drives the right choice for each application.
How AcousPlan Uses This
AcousPlan's entire calculation engine is built on the six standard octave bands. Every material in the database stores absorption coefficients at 125, 250, 500, 1000, 2000, and 4000 Hz. Every RT60 calculation produces six values — one per octave band. Every compliance check evaluates the result at each band against the standard's requirements.
The results dashboard displays RT60 as a six-point curve, making it immediately visible whether the room has balanced acoustics or a problematic frequency range. The auto-solve algorithm optimises material selection across all six bands simultaneously, seeking a combination that meets the target at every frequency — not just at the NRC average.
When you export a report, the octave band data is presented in tables and charts that show the full frequency picture, giving clients and reviewers the detail they need to understand and verify the design.
Related Concepts
- What is Frequency in Acoustics? — The fundamental property that octave bands organise
- What is a Decibel (dB)? — The unit used for SPL values at each octave band
- What is Sound Pressure? — The quantity measured in each octave band
- What is RT60? — The metric calculated at each octave band
- What is Sound Absorption? — The property specified per octave band
Calculate Now
See your room's acoustic performance across all six octave bands. Use the AcousPlan Room Calculator to get frequency-by-frequency RT60, absorption totals, and compliance results — not just single-number averages.