🎵 Sound Level Math

Octave Band Calculator

Sum octave band sound pressure or power levels across all 8 standard frequency bands. Get overall unweighted, A-weighted, and C-weighted sound levels, plus the spectrum shape needed for NC and RC rating analysis.

Enter the level for each octave band you have data for. Leave any unknown bands blank - they will be excluded from the sum.

63 Hz
A: −26.2
125 Hz
A: −16.1
250 Hz
A: −8.6
500 Hz
A: −3.2
1000 Hz
A: 0.0
2000 Hz
A: +1.2
4000 Hz
A: +1.0
8000 Hz
A: −1.1
🎵 Overall Sound Level Results
dB

🔈 Overall A-Weighted

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dBA overall
Enter data and calculate

🔊 Overall Unweighted

-
dB overall
Enter data and calculate
📊 Octave Band Spectrum

Dominant Bands

Full Octave Band Table

FrequencyLevelA-WeightingA-Weighted Level
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How to Use the Octave Band Calculator

1
Enter Octave Band Levels

Enter the sound pressure or power level for each of the 8 standard octave bands from 63 Hz to 8000 Hz, from equipment data or a field measurement.

2
Leave Unknown Bands Blank

If a band was not measured or is not available, leave that cell empty. The calculator sums only the bands you provide data for.

3
Calculate

Click Calculate Overall Levels to see the combined unweighted, A-weighted (dBA), and C-weighted (dBC) totals along with the spectrum shape.

4
Identify the Dominant Bands

Use the spectrum chart and dominant band breakdown to see which frequencies drive the overall level, guiding where noise control effort should focus.

Understanding Octave Band Sound Data in HVAC Acoustics

Sound is a mixture of energy spread across many frequencies at once. A single overall decibel reading tells you how loud something is, but nothing about its character: whether it is a low rumble, a mid-frequency hum, or the higher-pitched hiss commonly associated with air moving through a VAV system terminal unit. Octave band analysis breaks the full audible spectrum into 8 standard bands, each centered on a frequency roughly double the one before it: 63, 125, 250, 500, 1000, 2000, 4000, and 8000 Hz. Reporting sound level in each of these bands separately preserves the frequency character of the noise, which is essential for effective noise control and for standards like NC and RC ratings that judge a spectrum shape rather than a single number.

Combining Octave Bands into an Overall Level

To find the overall sound level from a set of octave band values, the individual band levels must be combined using logarithmic addition, the same principle used for combining multiple sources: the overall level equals 10 times the base-10 logarithm of the sum of 10 raised to each band level divided by 10. This correctly accounts for the fact that decibels are a logarithmic representation of sound energy, so bands cannot simply be added arithmetically.

A-Weighting and Why It Matters

The human ear is not equally sensitive to all frequencies. It is much less sensitive to very low frequencies (below about 200 Hz) and very high frequencies (above about 10,000 Hz) than to the mid-range frequencies around 1000 to 4000 Hz where most speech and everyday sounds occur. A-weighting applies a correction to each octave band before summing that reflects this frequency-dependent sensitivity, producing an overall level in dBA that correlates much better with perceived loudness than an unweighted overall level does. The specific A-weighting and C-weighting correction values are not arbitrary; they are defined in IEC 61672, the international standard governing the performance of sound level meters, which every compliant measurement instrument is built to. Regulatory noise limits, occupational exposure standards, and most consumer sound level meters use A-weighting by default. This calculator applies the standard A-weighting correction values published for each of the 8 octave bands.

C-Weighting for Low-Frequency Content

A-weighting significantly discounts low frequencies, which can understate the perceived impact of rumble-type noise from large HVAC equipment such as chillers, cooling towers, and large air handling fans. C-weighting applies a much flatter correction across the spectrum, staying close to the unweighted level through most of the audible range, a distinction NIOSH explains in its guidance on sound level meter frequency weighting networks. Comparing the dBA and dBC results for the same octave band data is a useful diagnostic: a large gap between dBC and dBA (dBC noticeably higher) indicates the noise has significant low-frequency content that may be perceived as more objectionable than the dBA number alone would suggest, even though building codes and typical specifications reference dBA. Persistent low-frequency dominance can also indicate a structural or mechanical vibration source rather than purely airborne noise, in which case a vibration analysis calculator may help distinguish between the two before committing to an acoustic-only remedy.

Using This Data for NC and RC Ratings

Noise Criteria (NC) and Room Criteria (RC) ratings are both derived directly from octave band sound pressure level data, not from a single dBA figure. Once you have octave band levels entered here, use the NC curve calculator or RC rating calculator with the same band values to determine the applicable rating for comparison against ASHRAE-published recommended background noise levels by space type. The overall dBA computed here is a useful quick reference, but the NC and RC rating is the standard method for evaluating whether a mechanical system's spectrum shape is acceptable for occupied space use.

Frequently Asked Questions

The 8 standard octave bands used in building and HVAC acoustics are centered at 63, 125, 250, 500, 1000, 2000, 4000, and 8000 Hz. Each band covers roughly one octave, with the upper frequency limit approximately double the lower limit. This set spans the range most relevant to human hearing and typical HVAC noise sources, from low-frequency rumble at 63 Hz up to high-pitched air movement hiss at 8000 Hz. Use the NC curve calculator to see how these same 8 bands are compared against standard reference curves.

Two effects cause this difference. First, decibels must be combined using logarithmic addition rather than arithmetic addition, since sound energy adds linearly while decibels represent a compressed logarithmic scale. Second, A-weighting applies a frequency-dependent correction to each band before summing, reducing the contribution of very low and very high frequency bands to match human hearing sensitivity. Use the decibel calculator to explore the logarithmic addition rule on its own with simpler examples.

A-weighting (dBA) closely follows human hearing sensitivity at typical everyday sound levels, significantly reducing the contribution of frequencies below about 500 Hz and above about 8000 Hz. It is the standard weighting for general environmental and occupational noise measurement. C-weighting (dBC) applies a much flatter correction, staying close to the unweighted level across most of the audible range. C-weighting is used when evaluating low-frequency rumble from large HVAC equipment that A-weighting would otherwise understate. This calculator computes both simultaneously from the same octave band input.

Noise Criteria and Room Criteria ratings are determined directly from octave band sound pressure level data rather than from a single overall dB or dBA figure. Each band is compared against a family of reference curves, and the rating is set by the highest curve any single band exceeds. The octave band spectrum entered here is the same raw data needed for the NC curve calculator and RC rating calculator. The overall dBA computed in this tool is a useful cross-check but is not itself the NC or RC rating.