Panpipe Tube Length Calculator

Panpipe Tube Length Calculator

Size closed-end panpipe tubes from note, air temperature, bore diameter, and open-end correction.

🎯 Quick Presets
📏 Units
⚙️ Tube Inputs
Use 440 Hz for modern equal temperament, or enter your tuning reference.
Air temperature changes the speed of sound and shifts required tube length.
Measure the clear inside bore, not the outside tube diameter.
Longest Tube
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lowest note
Shortest Tube
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highest note
Total Tube Length
--
sum before trimming allowance
Frequency Span
--
lowest to highest

Calculation Breakdown

📊 Current Design Spec Grid
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Sound speed
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End correction
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Inside bore
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Tube range
🎵 Per-Tube Cut List
TubeNoteFrequencyEffective LengthEnd CorrectionCut Length

Cut lengths are physical tube lengths before final voicing. A real pipe is usually left a little long, tested, then trimmed upward in pitch.

Cut long before tuning: The calculator gives the acoustic starting point, but embouchure shape, tube wall thickness, stopper depth, and bore irregularity can shift the pitch. Leave each tube a few millimeters long, check with a tuner, then shorten gradually because length removed cannot be put back cleanly.
🧪 End Correction Reference
Open End TypeMultiplierWhen It FitsLength Effect
No correction0.00 x dPure formula check onlyLongest cut
Narrow blowing edge0.25 x dSmall bore or sharp lipSlightly shorter
Typical open rim0.30 x dCommon panpipe estimateReliable start
Rounded mouth0.36 x dSofter rolled rimShorter cut
Flanged or thick rim0.41 x dHeavy wall or broad lipShortest cut
📏 Example Tube Lengths (20°C, 12 mm Bore)
NoteFrequencyQuarter Wave0.30 d CorrectionCut Length
G3196.00 Hz43.76 cm0.36 cm43.40 cm
A3220.00 Hz38.99 cm0.36 cm38.63 cm
C4261.63 Hz32.79 cm0.36 cm32.43 cm
E4329.63 Hz26.02 cm0.36 cm25.66 cm
G4392.00 Hz21.88 cm0.36 cm21.52 cm
C5523.25 Hz16.39 cm0.36 cm16.03 cm
🎼 Scale And Tube Count Comparison
8-note diatonicOne octave plus the top root. Best for simple melody pipes and classroom sets.
10-note pentatonicTwo octave pentatonic layout. Good for modal melodies with fewer half-step clashes.
12-note chromaticOne octave of semitones. Useful when the player needs accidentals in a compact span.
13-note AndeanDiatonic range over more than one octave. Common for zampoña-style layouts.
LayoutTube CountTypical RangeBest Use
Small pentatonic6Root to octaveSimple folk phrases
Diatonic octave8Root to octaveGeneral melody
Extended diatonic13Root to high sixthTwo-hand panpipes
Chromatic octave1212 semitonesAccidental notes
Wide alto set15Two octavesFlexible solo range
🌡️ Temperature Effect Table
Air TempSound SpeedC4 Quarter WaveBuild Note
10°C / 50°F337.36 m/s32.22 cmLonger than warm-room tuning
20°C / 68°F343.42 m/s32.79 cmCommon room reference
25°C / 77°F346.45 m/s33.10 cmSlightly longer calculated tube
30°C / 86°F349.48 m/s33.39 cmHot workshop reference
📝 Common Panpipe Design Starts
PresetRootPatternTubesPractical Span
C Major 8 PipesC4Major8C4 to C5
G Major 10 PipesG3Major10G3 to B4
A Minor 8 PipesA3Natural minor8A3 to A4
C Chromatic 12 PipesC4Chromatic12C4 to B4
Alto D 15 PipesD4Major15D4 to D6
Diameter changes tone and length: Larger bores can sound fuller but require a larger end correction, making the physical cut length shorter than the pure quarter-wave value. Keep the diameter consistent across the set if you want predictable tuning and even breath response.

In reality, most wood workers simply guess at tube lengths and find their panpipe is flat. The reason for this is that, unlike a piece of solid material, air move and takes up space. It also responds very sensitively to temperature in the workshop.

It’s best not to cut until you gets the calculation correct. It is a sort of pitch to length converter. It’s up to you how many pipe there are and what they is tuned to (what note you want as root note and what sort of scale pattern). Then the computer calculates the frequencies required for each pipe.

Why You Should Use a Calculator for Panpipes

Because sounds travel more quickly through warm air then cold, it is inaccurate if the temperature change. What works in a cool basement will be sharp sounding compared to a hot day. The tool also recalculates speed of sound based off your data. This ensures the cut lengths match where you intend to play them.

The other thing that alters pitch is bore diameter. You have what’s known as end correction on a pipe. I.e., the air vibrating in front of open end acts as though the pipe are longer than it is. To correct for that, the calculator has a multiplying factor to account for bore size and rim thickness. Thinner walled PVC need less correction; wide bamboo needs more.

If you don’t do this, all the pipes will be a little too sharp, which ruins the harmony. The above reference table shows the effect of rim shape on correction. Airflow separates at distinct locations along a sharp and a rolled edge. These coefficients is not something to memorize. Instead, just know they exist. That way, if tuning fails because of physics, you would of not blame yourself for being a bad craftsman.

The output includes a cut list with starting lengths purposely made longer. That’s by design since you can always trim, but not easily extend.

If you think about it, the material makes a difference too but not to the math. Bamboo is naturaly inconsistent due to varying wall thicknesses and irregularities. Seek consistent diameter and straight grain. Nodes close to blowing end cause turbulence, and partial closures within the tubing will affects the tone. Check your tubing first. Minor flaws in wood may be forgiven with a slightly larger bore. Every little flaw will be amplified on a narrow bore.

Also consider temperature stability. An instrument made in your heated workshop sound out of tune when played outdoors on a cool day. Some makers make their instruments days in advance to allow them to adjusts to the environment. Others build with a slightly lower reference pitch knowing the wood will warm up at performance time. Even this subtle change make a difference between amateur and professional.

Building panpipes is an exercise in measured testing. That’s where this calculator eliminate any guesswork from starting measurements. From there it’s all about listening and adjustment. Trim a millimeter, listen to the pitch, trim again. When physical form meets acoustic intention, the instrument speak for itself. Numbers get you started. Your ears bring you home.

Panpipe Tube Length Calculator

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