IEC 61260-1 Centre Frequencies: Exact and Nominal Values
TL;DR
IEC 61260-1 defines centre frequencies using the reference frequency of 1000 Hz. For base-10 system: fm = 1000 × 10^(k/(3b)) Hz where k is the band index and b is the bandwidth fraction (1 for octave, 3 for 1/3 octave). Nominal frequencies are rounded values for labeling: the exact 1/3 octave centre at 10^(31/30)×1000 = 1258.9 Hz is labeled "1250 Hz". The standard 1/3 octave series from 20 Hz to 20 kHz comprises 30 bands. The 1/1 octave series: 31.5, 63, 125, 250, 500, 1000, 2000, 4000, 8000, 16000 Hz.
Reference Frequency
IEC 61260-1 uses 1000 Hz as the reference frequency (band index k=0). All other centre frequencies are derived mathematically from this reference. The choice of 1000 Hz aligns with IEC 61672-1 frequency weighting reference and acoustic calibrator frequencies.
Exact Centre Frequencies (Base-10)
The preferred base-10 system calculates exact centre frequencies as:
fm = 1000 × 10^(k / (3·b)) Hz
Where b is the bandwidth designator (1 for octave, 3 for 1/3 octave) and k is the band number (positive above 1 kHz, negative below). For 1/3 octave bands (b=3):
| k | Exact fm (Hz) | Nominal (Hz) |
|---|---|---|
| -17 | 19.953 | 20 |
| -14 | 39.811 | 40 |
| -10 | 100.00 | 100 |
| -7 | 199.53 | 200 |
| 0 | 1000.0 | 1000 |
| 7 | 5011.9 | 5000 |
| 13 | 19953 | 20000 |
Base-2 Alternative
IEC 61260-1 also permits a base-2 calculation system where centre frequencies are exact powers of 2 relative to 1 kHz. See frequency ratios for the differences between base-10 and base-2 systems. The two systems produce slightly different centre frequencies — the maximum deviation between base-10 and base-2 is about 0.15% (0.013 dB), which is within all class tolerances.
Standard 1/3 Octave Bands (20 Hz – 20 kHz)
The full audio-range 1/3 octave series comprises 30 nominal bands: 20, 25, 31.5, 40, 50, 63, 80, 100, 125, 160, 200, 250, 315, 400, 500, 630, 800, 1000, 1250, 1600, 2000, 2500, 3150, 4000, 5000, 6300, 8000, 10000, 12500, 16000 Hz (with 20000 Hz as the 31st if included).
Standard 1/1 Octave Bands
The standard octave band series: 16, 31.5, 63, 125, 250, 500, 1000, 2000, 4000, 8000, 16000 Hz. For ISO 3382-1, the required range is typically 125 Hz to 4 kHz (extended to 63 Hz–8 kHz for precision grade). For IEC 60268-16 STI, 7 octave bands from 125 Hz to 8 kHz are used.
Bandwidth
The bandwidth of each filter is defined by its upper and lower edge frequencies:
Upper edge: f₂ = fm × 2^(1/(2b))
Lower edge: f₁ = fm × 2^(-1/(2b))
For 1/1 octave: the bandwidth ratio f₂/f₁ = 2 (the upper edge is twice the lower edge). For 1/3 octave: f₂/f₁ = 2^(1/3) ≈ 1.26.
SonaVyx Implementation
The RTA mode uses the IEC 61260-1 base-10 centre frequencies for both 1/1 and 1/3 octave display. The SPL meter provides octave-band analysis with the same centre frequencies. See filter design for how these bands are implemented and response requirements for tolerance masks.
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Last updated: March 19, 2026