An ideal open cylindrical pipe has effective length v/(2f). This calculator subtracts a total 0.6 bore-diameter end correction at the reference temperature, then holds physical length fixed while changing the approximate sound speed for cold and hot pitch estimates.
Wind Instruments Interactive Calculator
Enter target frequency, bore diameter and three temperatures. Results use a simple open-pipe/end-correction approximation—not a complete instrument-acoustics or fabrication model.
Equation Used
- The pipe is open at both ends and supports an ideal half-wave fundamental.
- Sound speed follows the displayed linear dry-air approximation.
- Total end correction is fixed at 0.6 bore diameter.
- Physical length does not change with temperature.
- Humidity, radiation impedance, fingering, bore taper and player interaction are omitted.
Ideal Open-Pipe Temperature Screen
The NASA Glenn sound reference provides wave-speed context. The pipe calculation uses a simple total end correction of 0.6 times the bore diameter.
What This Calculator Represents
An ideal cylindrical open-pipe fundamental at fixed physical length.
Length and Temperature comparison
Leff=v/(2f)
L=Leff-0.6d
fT=vT/(2(L+0.6d))
Worked Scenario
At 293.66 Hz, 19 mm bore and 22 C, the tool estimates effective and physical lengths, then recomputes frequency at 12 C and 32 C with length fixed.
Assumptions and Limits
No fingering, taper, wall, humidity, radiation impedance or practical tuning adjustment is modeled.
Frequently Asked Questions
Is this a fabrication length?
Only an ideal estimate.
Why 0.6d?
It is the calculator's total end-correction assumption.
Is humidity included?
No.
Is thermal expansion included?
No.
Are finger holes modeled?
No.
Will a real instrument tune exactly?
No guarantee is implied.
References
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