Examples
Examples
Try the starting example
- Fundamental membrane frequency (Hz)
- 100
- Mode index (1–8)
- 4
- Selected ideal membrane mode frequency (Hz)
- 229.541727
- Frequency ratio to fundamental
- 2.295417
Try another scenario
- Fundamental membrane frequency (Hz)
- 110.00000000000001
- Mode index (1–8)
- 4
- Selected ideal membrane mode frequency (Hz)
- 252.495899
- Frequency ratio to fundamental
- 2.295417
Calculation method
Calculation method
Selected ideal membrane mode frequency (Hz)
Ideal circular fixed-edge membrane: use first eight ordered distinct Bessel roots including degenerate angular modes once.
Frequency ratio to fundamental
Ideal circular fixed-edge membrane: use first eight ordered distinct Bessel roots including degenerate angular modes once.
Symbols and units
- a
- Fundamental membrane frequency (Hz)
- b
- Mode index (1–8)
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 uniform membrane; shell, air loading and nonuniform tuning excluded. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Ideal uniform membrane; shell, air loading and nonuniform tuning excluded.
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.