Band Edge Frequencies Calculator
Exactbase2fractionaloctavebandedges,not base10IECpreferredfrequency rounding. Actual matched calibration,units,edition,geometry/measurement and model applicability independently established;not hearing/structural safety,compliance or universal perceptual prediction.
Description
Fractional-octave bands have logarithmically spaced edges around a center frequency.
Fractional-octave bands have logarithmically spaced edges around a center frequency.1
This calculator uses exact base-two geometry with an integer bands-per-octave denominator rather than preferred-frequency or IEC base-ten rounding.
When to use Band Edge Frequencies Calculator
Use this tool to apply the stated band edge frequencies calculator operation with an explicit input and unit basis.
How to use Band Edge Frequencies Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualBandCenterHz, actualOctaveFractionDenominator and run the tool.
- Read result.lowerEdgeHz, result.upperEdgeHz using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualBandCenterHz | Band Center Hz. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
| actualOctaveFractionDenominator | Octave Fraction Denominator. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; integer from 1 to 24; further conditions in the algorithm |
Require positive center frequency and integer denominator b from 1 to 24. Calculate r=2^(1/(2b)), then return center/r and center×r.
lower = center/2^(1/(2b)); upper = center×2^(1/(2b)) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.lowerEdgeHz | Exact lower base-two fractional-octave edge in Hz. | number |
| result.upperEdgeHz | Exact upper base-two fractional-octave edge in Hz. | number |
{
"input": {
"actualBandCenterHz": 1000,
"actualOctaveFractionDenominator": 3
},
"output": {
"result": {
"lowerEdgeHz": 890.8987181403393,
"upperEdgeHz": 1122.4620483093731
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Syntonic Comma Value Calculator. The syntonic comma is the tuning ratio 81/80 between particular just and Pythagorean intervals.
For a related operation, use Pythagorean Comma Value Calculator. The Pythagorean comma is the small excess of twelve pure fifths over seven octaves.
References
-
Band Edge Frequencies Calculator — tool.io
Similar or alternative tools
- Syntonic Comma Value Calculator
The syntonic comma is the tuning ratio 81/80 between particular just and Pythagorean intervals.
- Pythagorean Comma Value Calculator
The Pythagorean comma is the small excess of twelve pure fifths over seven octaves.