Examples
Examples
Try the starting example
- Rectangular room axis lengths (m)
- 5,4,2.5
- User-selected sound speed (m/s)
- 340
- Axial orders per axis
- 2
- Near-coincidence tolerance (Hz)
- 0
- Axial frequencies by axis (Hz)
- Axis 1: 34, 68; Axis 2: 42.5, 85; Axis 3: 68, 136
- Sorted axial frequencies (Hz)
- 34, 42.5, 68, 68, 85, 136
- Cross-axis near-coincidence pairs
- 1
- Axial mode count
- 6
Try another scenario
- Rectangular room axis lengths (m)
- 2,2,2
- User-selected sound speed (m/s)
- 320
- Axial orders per axis
- 1
- Near-coincidence tolerance (Hz)
- 0
- Axial frequencies by axis (Hz)
- Axis 1: 80; Axis 2: 80; Axis 3: 80
- Sorted axial frequencies (Hz)
- 80, 80, 80
- Cross-axis near-coincidence pairs
- 3
- Axial mode count
- 3
Calculation method
Calculation method
Axial frequencies by axis (Hz)
For each axis and order j=1..limit, frequency = j × sound speed / (2 × axis length).
Sorted axial frequencies (Hz)
Sort all generated axis/order modes by frequency, retaining duplicates.
Cross-axis near-coincidence pairs
Count pairs from different axes whose absolute frequency difference is within the entered inclusive tolerance.
Axial mode count
Three axes × selected order limit.
Symbols and units
- a
- Rectangular room axis lengths (m)
- b
- User-selected sound speed (m/s)
- c
- Axial orders per axis
- d
- Near-coincidence tolerance (Hz)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Ideal rigid rectangular boundaries and axial modes only. Tangential/oblique modes, damping, sound levels, openings and treatment performance are excluded. Sound speed is supplied rather than inferred.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
OpenStax: standing waves and resonance ↗
Background reading; this does not imply endorsement or independent review of SumFizz.