Xylophone Bar Length Calculator – Tune Any Note Perfectly

🎵 Xylophone Bar Length Calculator

Calculate precise bar lengths for any note — build a perfectly tuned DIY xylophone

Quick Presets
🎹 Calculator Settings
📊 Material Speed of Sound Reference
3800
Rosewood (m/s)
4110
Hard Maple (m/s)
3900
Padauk (m/s)
3300
Bamboo (m/s)
5100
Aluminum (m/s)
2200
PVC (m/s)
3960
White Oak (m/s)
3960
Walnut (m/s)
💡 How Bar Length Works: A xylophone bar acts as a free-free vibrating beam. The fundamental frequency formula is: f = (π/8) × (v/L²) × thickness × correction factor. Rearranged for length: L = C × √(v / f) where C is the material constant derived from bar dimensions and v is the speed of sound through the material.
🎶 Standard Note Frequencies & Reference Bar Lengths

Reference lengths for rosewood, 1.5 in wide × 0.75 in thick bars tuned to A440

Note Frequency (Hz) Ref Length (in) Ref Length (cm) MIDI # Octave
C3130.8119.248.8483
D3146.8318.146.0503
E3164.8117.143.4523
F3174.6116.642.2533
G3196.0015.739.9553
A3220.0014.837.6573
B3246.9413.935.4593
C4261.6313.534.3604
D4293.6612.832.5624
E4329.6312.030.5644
F4349.2311.729.7654
G4392.0011.027.9674
A4440.0010.426.4694
B4493.889.824.9714
C5523.259.524.2725
D5587.339.022.9745
E5659.258.521.6765
F5698.468.220.9775
G5784.007.819.8795
A5880.007.418.7815
C61046.506.717.1846
📐 Bar Length by Material — C4 (261.6 Hz) Comparison
Material Speed (m/s) C4 Length (in) C4 Length (cm) Density (kg/m³) Tone Quality
Rosewood380013.534.3880Bright, sustain
Hard Maple411014.035.6705Clear, crisp
Padauk390013.734.8800Warm, rich
Bamboo330012.531.8600Light, mellow
Aluminum510015.739.82700Bright, metallic
PVC220010.225.91380Soft, dull
White Oak396013.835.0770Full, warm
Walnut396013.835.0690Dark, smooth
📏 Diatonic Scale — Length Ratios by Octave
Scale Degree Note (C4) Ratio to C Length Factor Approx Length (in)
1st (Root)C41.0001.00013.5
2ndD41.1220.94412.8
3rdE41.2600.89112.0
4thF41.3350.86611.7
5thG41.4980.81711.0
6thA41.6820.77110.4
7thB41.8880.7289.8
OctaveC52.0000.7079.5
✂️ Always Cut Longer First: Bar length determines pitch. Cut bars at least 0.5–1 inch longer than the calculated value, then trim to tune. Each small cut raises the pitch. You cannot add material back once removed. Use a tuner while trimming in very small increments (1–2 mm at a time near final pitch).
🔧 Undercut Arch Tuning: After cutting to approximate length, an arched undercut (routing a gentle curve underneath the bar) can fine-tune the pitch without reducing bar length. Removing material from the center lowers pitch; removing from the ends raises pitch. This technique is used on professional concert xylophones.

The xylophone bar length ranks among the main factors that determines the pitch that it makes. Bars with bigger length give deeper sounds, the opposite happens with shorter ones that sound higher. Because of the shorter way of the sound through the wood, they have faster spread so they hear in higher range.

One arranges the bars according to order from the deepest until the highest, forming like this a scale for music. Hit, each bar vibrates and generates stable ripples in clear frequency.

How Xylophone Bar Length Changes Pitch

The relation between frequency and xylophone bar length obeyed a set model. The frequency relates to the reverse of the square of the length. Like this, even tiny changes in the size cause clear change in the sound.

To lower the note a bit, it is enough to remove around three percent from the xylophone bar length, what could be needed. Instruments like orchestral bells, glockenspiels and xylophones all use bars with almost same profiles.

One finds in a typical xylophone 44 set bars from rosewood. They range in length from 5.3 until 17.3 inches. Each of them measures 1.6 inches across the bar and 0.9 inches in thickness.

The bars rest like keyboards, where the half-notes in a separate group are raised a bit above the main line of the natural sounds.

Wood even so is not an ideally matching material. Things like density, fiber and structural differences all alter the final hearing. Traditional xylophones from wood give warm and echoing tone.

Bars from synthetic materials tend too discharge clearer and piercing sound. One commonly cups the bottom part of xylophone bars to improve the sound and the shape itself. So, simply counting the outer length by means of basic rules does not always work well.

The shaping requires to carefully change both the length and the thickness of every wooden bar to reach the wanted accuracy. One requires a firm base or stone to set the bars during the work, and a ruler helps to measure every one exactly. One way to build a xylophone is to cut the main pieces in fit size, for instance 15 cm, and later trim from that.

Using rulers simplifies thewhole task.

Under each bar usually rest resonating tubes. They are made of empty tubes from metal or PVC. Also they differ in length, with bigger ones under the deep bars and smaller ones under the high.

The most deciding factor for the real frequency of any bar or tube is its length. Starting from the standard tuning sound at 440 Hz, one can compile the fit lengths for the other notes. Adjusting them well is the key to making an instrument that truly sounds good.

Xylophone Bar Length Calculator – Tune Any Note Perfectly

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