Compound Radius Calculator for Guitar Fretboards

Compound Radius Calculator

Project a guitar fretboard radius from nut to bridge, then find the local fret radius, string-span arc drop, and setup reference numbers.

🎯Real Guitar Radius Presets
Compound Radius Inputs
Starting radius at the nut or zero fret.
Projected radius at the bridge saddle line.
Use vibrating scale length from nut to saddle.
0 is nut, 12 is octave, 24 is two octaves.
Used to label setup spacing and table guidance.
Distance from outer E string center to outer E string center.
Outer string center-to-center span at the bridge.
Shows a practical fretboard-end radius alongside bridge projection.
Radius at Selected Fret
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local fretboard curve
Arc Drop Across Strings
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center-to-edge curvature depth
Distance From Nut
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selected fret location
Radius Gain Rate
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flattening along scale

Projection Breakdown

📊Comparison Spec Grid
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Nut Radius
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Board End
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Bridge Line
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Local Span
🎼Fret Radius Breakdown
FretDistance From NutLocal RadiusString SpanArc Drop
📏Common Compound Radius Profiles
ProfileNut RadiusBridge ProjectionTypical Feel
10-16 modern compound10 in / 254 mm16 in / 406 mmComfortable chords near the nut with flatter upper bends.
12-16 performance compound12 in / 305 mm16 in / 406 mmFast lead feel, common on shred-style guitars.
9.5-14 hybrid compound9.5 in / 241 mm14 in / 356 mmModern Fender-style compromise for chords and bends.
7.25-9.5 vintage blend7.25 in / 184 mm9.5 in / 241 mmRound low positions with gentler high fret choking control.
14-20 extended range14 in / 356 mm20 in / 508 mmVery flat response for wide string spans and low action.
🔧Setup Reference Table
Setup PointWhat To MatchWhy It MattersCalculator Cue
Nut slot arcNut radius and nut string spanOpen-position chords feel even when the first-position arc follows the board.Use the nut result, not the 12th fret radius.
Fret leveling beamLocal fret zone radiusA compound board changes gradually, so upper frets need flatter treatment.Read the fret table near the work zone.
Bridge saddlesBridge-line projectionThe saddle arc should follow the string plane after the radius has opened up.Use the bridge-line card and spread value.
Bend clearanceArc drop plus action heightFlatter high frets reduce note choke during wide bends.Compare selected fret sagitta across string span.
🎸String Span Reference
InstrumentNut String SpanBridge SpanSpacing Note
6-string electric1.35-1.42 in / 34-36 mm2.05-2.12 in / 52-54 mmCommon tremolo and hardtail range.
7-string electric1.67-1.75 in / 42-44 mm2.44-2.56 in / 62-65 mmWider span makes sagitta more visible.
8-string electric2.00-2.12 in / 51-54 mm2.83-2.99 in / 72-76 mmVery flat bridge projections are common.
4-string bass1.35-1.50 in / 34-38 mm2.20-2.36 in / 56-60 mmRadius often feels flatter because span is wide.
5-string bass1.70-1.90 in / 43-48 mm2.75-3.15 in / 70-80 mmBridge spacing can dominate the projected arc.
🧭Radius Style Comparison
Radius TypeGeometryUpper-Fret FeelBest Setup Use
Constant radiusSame curve from nut to endPredictable, but round boards can choke under low action.Traditional setups, vintage replicas, simple leveling.
Compound radiusRadius increases along the scaleFlatter high frets help bends while low frets stay comfortable.Modern electric guitars and precise saddle projection.
Conical fretboardString plane follows a cone sectionBridge arc naturally opens wider than nut arc.Builders setting radii from actual string spread.
Near-flat boardVery large radius, small sagittaFast lateral movement, less chord-hand wrap.Extended range, low tunings, touch-style setups.
Bridge projection tip: A 10-16 compound label usually describes the design target, but the bridge saddle arc may need the projected bridge-line radius rather than the last-fret radius. That is why this calculator separates selected fret, board end, and bridge line.
Measurement tip: Use the string span between the outer string centers, not the full nut width. Sagitta is driven by the vibrating string fan, so extra wood outside the strings does not change the action arc.
Formulas use the equal-tempered fret location x = scale - scale / 2^(fret / 12), then linearly project radius and string span along the scale before calculating sagitta.

So why do compound radius guitar necks? It’s a solution to a particular issue. Your hand feels good but the string digs deeper into higher frets and chokes the note as it try to sustain. How come? Because the geometry of board is working against you.

As it wraps around a chord, the neck starts out round at the nut for comfortabley fretting. Gradually it taper off to a flat shape nearer the bridge to keep bends clear. The calculator do the math for you after you enter target curves and scale length of your instrument. You won’t have to guess what that transition will look like down the length of fretboard.

Why Use Compound Radius Guitar Necks?

It’s all about physics. When you play chords by shaping them against the guitar surface, your hand help you follow slight curve toward back of the guitar. Typically this was seven and a quarter for older designs and around ten these days. But then when you push a string up two or three frets for a lead line, that same curve become a trap. That curved surface creates a trap where the string leaves the flat plane of your fingerboard and plunges into space between the fret wires.

The solution came from a compound design where radius increases gradually downwards the length of the neck. So the feel stays constant, no jarring jump. It’s important to understand that there are three different radii for every guitar. These is the local radius at each fret, the bridge projection, and the nut radius. Unfortunatly, many player think the numbers refer to overall board dimensions. So they think that a 10-16 means it’s ten inches wide at one end, then sixteen at the other. Nope! That change take place across twenty or twenty-four inches of scale length.

The fret calculator details the local radius at say the fifth, twelfth or twentieth fret so you can see exact curvatures. This is important because if you’re leveling your own frets, you can’t take a straight beam to whole neck. You’ve got to match the local curve. If you apply a ten inch radius template to higher frets on a compound board, you’ll be taking off too much wood. This creates flat spots that will buzz as you play open chords.

Another point of confusion is string span. From the nut to the bridge, the fan of the strings combined with design of the saddle alters the width of the strings. Even though they may have same radius, if there’s more distance across two outer E strings (more string spread), then even a big-radius fretboard will have less arc drop and feel flatter. This is why extended-range guitars with seven or eight strings commonly employ super-flat radii, fourteen to twenty inches. If you maintained a snug ten-inch curve on an eight-string guitar, the outside strings would be so far off the fretboard they’d be hard to play effectively.

The table on page lists some common profiles and helps you see where manufacturers is weighing comfort versus speed of performance. Then there is simply matter of getting it set up. Set your bridge saddles so they follows the projected radius along line of the saddles rather than the radius at end of the fretboard. The fretboard does not always go all the way to the bridge. It usually stops well short of where strings meet the bridge. This means if your saddles don’t align with plane of the strings, you’re going to have some intonation problems. Some string will feel significantly higher than others. It is just a little bit of geometry that makes or breaks a setup.

In conclusion, selecting a compound radius is all about compromise. Do you need more curve on the bottom to sound warm with chords, or do you want plenty of flatness on top to play clearly? No magic number exists, just one that suits your playing style and hand size. Vintage players may prefer rounder boards and go for slightly higher action to prevent fret buzz. Shredders may insist on a flatter surface to get more room for bending notes. The tool simply helps visualize this trade off and allows you to make an informed decision before modifying or buying a board.

You should of checked the math first. The geometry of your instrument explains what makes some guitars seem more playable than others. Math isn’t magic, it’s just math applied on a combination of steel and wood. Knowing how the radius increases as you move towards bridge helps you understand how various set-ups will intersect that curve. Once you become aware of that, you begin approaching set-up and maintenance with greater precision and less guesswork. Your hand meets less resistance against board, providing support from the first chord to last bend.

Compound Radius Calculator for Guitar Fretboards

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