String Gauge to Frequency Calculator

String Gauge to Frequency Calculator

Convert string gauge, scale length, material, and target note into pitch, tension, unit weight, and setup range for guitar, bass, mandolin, violin, and other string instruments.

🎸 String Presets

Choose a real-world starting point, then adjust gauge, material, scale, tuning reference, and desired tension. The calculator uses vibrating-string physics and construction factors for plain, wound, nylon, and gut-style strings.

Gauge, Pitch, And Tension Inputs
Scale and gauge convert when changed.
Nut-to-saddle speaking length for the open string.
Use total outside diameter, including wrap wire.
Sets density and effective vibrating mass.
Approximates the active mass versus outside gauge.
Used for the target-tension calculation.
Scientific pitch notation; middle C is C4.
Changes calculated note frequencies.
Used to solve the frequency this gauge would produce.
Provides practical low, normal, and high tension bands.
Totals tension for paired mandolin or octave-course layouts.
Shows equal-tempered frequency at that fret.
Frequency At Desired Tension
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Tension At Target Pitch
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Unit Weight
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Setup Range
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Calculation Breakdown

Target pitch--
Scale and gauge--
Material and construction--
Linear density--
Desired-tension solution--
Target-pitch solution--
Course total--
Fretted comparison--
🔬 Formula Reference

Frequency From Gauge And Tension

A string vibrates higher when tension rises or when scale length and unit weight fall.

f = (1 / (2 x L)) x sqrt(T / linear density)

Tension From Target Frequency

For a chosen note, the same gauge needs more tension on a longer scale or with heavier material.

T = (2 x L x f)^2 x linear density

Effective Linear Density

Plain strings use full circular area; wound strings use construction factors because the core and wrap do not behave like a solid rod.

density = material density x area x construction factor

Equal-Tempered Fret Frequency

Every fret raises pitch by one twelfth-root-of-two step from the open-string target.

fret frequency = open frequency x 2^(fret / 12)
📏 String Spec Grid
25.5 in
Long-scale electric guitar reference
24.75 in
Short-scale electric guitar reference
34 in
Standard long-scale electric bass
13.875 in
Typical mandolin scale length
440 Hz
Standard A4 tuning reference
100 cents
One equal-tempered semitone
7850
Plain steel density in kg per m3
2x
Double-course tension multiplier
📊 Typical Open-String Tension Ranges
Instrument ProfileLow RangeTypical RangeHigh RangePractical Reading
Electric guitar plain strings8-12 lb / 36-53 N13-18 lb / 58-80 N19-24 lb / 85-107 NLead feel Low is slinky, high is firm.
Electric guitar wound strings12-16 lb / 53-71 N17-24 lb / 76-107 N25-32 lb / 111-142 NRhythm Common for standard and drop tunings.
Steel-string acoustic15-20 lb / 67-89 N21-30 lb / 93-133 N31-38 lb / 138-169 NProjection Higher loads drive the top harder.
Electric bass30-36 lb / 133-160 N37-48 lb / 165-214 N49-60 lb / 218-267 NBass feel Scale length strongly affects balance.
Classical nylon treble9-12 lb / 40-53 N13-17 lb / 58-76 N18-22 lb / 80-98 NNylon Lower density means larger diameters.
Mandolin course, per string13-17 lb / 58-76 N18-25 lb / 80-111 N26-32 lb / 116-142 NDouble Total course load doubles.
Violin or viola string8-11 lb / 36-49 N12-17 lb / 53-76 N18-24 lb / 80-107 NBowed Bow response matters as much as pull.
🧵 Material And Construction Factors
MaterialDensity UsedBest Gauge ZoneModel FactorNotes For Frequency Estimates
Plain high-carbon steel7850 kg/m3.007-.026 in1.00 solid areaMost predictable for guitar trebles, mandolin, and some violin steel strings.
Nickel-plated wound steel8050 kg/m3.020-.130 in0.70-0.86 active areaWrap and core reduce effective mass compared with a solid cylinder.
Stainless wound steel7900 kg/m3.020-.130 in0.72-0.88 active areaSlightly brighter and often a little firmer under the fingers.
Phosphor bronze wound8800 kg/m3.024-.060 in0.72-0.86 active areaUseful for acoustic guitar wound strings with denser bronze wrap.
Flatwound nickel8200 kg/m3.030-.135 in0.82-0.92 active areaDense wrap raises unit weight and smooths the feel.
Nylon monofilament1150 kg/m3.024-.045 in1.00 solid areaLarge diameter can still carry moderate tension because density is low.
Fluorocarbon treble1780 kg/m3.020-.038 in1.00 solid areaHeavier than nylon, so similar pitches can use smaller diameters.
Synthetic gut core1320 kg/m3.020-.055 in0.78-0.90 active areaApproximate bowed-string core behavior, not a brand-specific chart.
🎼 Common Gauge And Pitch Starting Points
PresetScale LengthGauge And BuildOpen PitchApprox Tension
Electric High E .01025.5 in / 647.7 mm.010 plain steelE4, 329.63 HzAbout 16 lb / 72 N
Electric B .01325.5 in / 647.7 mm.013 plain steelB3, 246.94 HzAbout 15 lb / 67 N
Electric Wound A .03625.5 in / 647.7 mm.036 nickel woundA2, 110.00 HzAbout 19 lb / 85 N
Drop D Heavy .05225.5 in / 647.7 mm.052 nickel woundD2, 73.42 HzAbout 22 lb / 98 N
Baritone Low B .06227.5 in / 698.5 mm.062 nickel woundB1, 61.74 HzAbout 24 lb / 107 N
Bass E .10534 in / 863.6 mm.105 nickel woundE1, 41.20 HzAbout 42 lb / 187 N
5-String Bass B .13034 in / 863.6 mm.130 nickel woundB0, 30.87 HzAbout 34 lb / 151 N
Classical Nylon E25.6 in / 650.2 mm.028 nylonE4, 329.63 HzAbout 16 lb / 71 N
Mandolin E Course13.875 in / 352.4 mm.010 plain steelE5, 659.25 HzAbout 23 lb / 102 N each
Violin A String12.875 in / 327.0 mm.026 synthetic coreA4, 440.00 HzAbout 13 lb / 58 N
🎵 Note Frequency Reference
NoteFrequency At A4 440Guitar / Bass UseMandolin / Violin UseGauge Check
B030.87 Hz5-string bass low BRare extended low rangeUsually .125-.135 in wound bass
E141.20 Hz4-string bass low EBelow standard violin family useUsually .095-.110 in wound bass
D273.42 HzDrop D guitar or octave courseLow octave mandolin referenceUsually .046-.056 in wound guitar
A2110.00 HzGuitar fifth stringOctave mandolin lower courseUsually .032-.042 in wound guitar
D3146.83 HzGuitar fourth stringViola and mandolin family checksUsually .024-.032 in wound guitar
G3196.00 HzGuitar third stringViolin G reference is one octave lowerPlain .016-.018 or wound .020-.024
B3246.94 HzGuitar second stringUpper mandolin comparisonUsually .011-.014 in plain steel
E4329.63 HzGuitar first stringViolin E is one octave higherUsually .009-.012 in plain steel
A4440.00 HzReference tuning pitchViolin A stringGauge depends heavily on material
E5659.25 HzHigh fretted comparisonMandolin E open courseUsually .009-.011 in plain steel
Gauge tip: For wound strings, the outside diameter is only part of the story. Core size, wrap density, and winding style all change unit weight, so compare the calculated tension as a setup estimate rather than a manufacturer chart replacement.
Scale tip: The same gauge tuned to the same note pulls harder on a longer scale. If a baritone or bass feels tight, check scale length before assuming the gauge is wrong.
Course tip: Double-course instruments can feel balanced per string while still loading the bridge with twice the total pull, so use the course total row when checking mandolin-style tunings.
Pitch tip: Use the frequency result to test alternate tunings: if the desired-tension frequency lands near the note you want, that gauge is in a practical neighborhood.

The guitar just doesn’t feel right when you change strings. Maybe it’s because the new low E digs into your fingers or the high E are feeling a bit slack. Why guess when you’re chasing that sound? This handy little calculator take the physics of string tension and converts it to frequencies before opening the pack. If you can take away intimidation factor, it becomes quite simple.

There are only three variables that determine a strings pitch; tension, the weight of a given inch of string, and its length from nut to saddle. Of those three, most musician focus on the gauge listed right on the package. Without taking into account scale length and the density of material, gauge doesn’t reveal very much. Even though two strings may be pitched the same, a point zero ten steel string will have a different sound on a thirty four inch bass as opposed to one with a twenty five inch scale. Your particular configuration is accounted for in the calculator. No guessing about tensions required here nor any formula to commit to memory.

How String Tension Works

That doesn’t necessarily equate to more tension on thicker strings. More tension occur if you raise the gauge with the same pitch. But if you keep the gauge similar and just switch materials, the story flips. The density of that material change. Steel is denser then nylon. What does this mean? You can use a thicker nylon string than a steel one but keep comfortablely tension across an equal note. Why would you want to do that? This happens when trying to figure out what’s going on with new strings and also when switching between electric and classical guitar.

Things get complicated with wound strings. Because these aren’t solid rod-type strings, they has an inner core and an outer wrap. This affects its overall weight or “active” mass vs its outside diameter, and this is calculated in the string’s construction factor. While you don’t need to know the precise metallurgy, you do want to understand that roundwounds of equal size will pull harder and feel denser than their flatwound matches. With this info, you’ll be prompted to enter your core type and material family. This further refines the estimate so it is not just a rough guess.

Tension charts from the manufacturer don’t paint the entire picture. Those are averages; not yours. Friction is added when a bridge has a sharp angle. Tuning may have been raised or lowered just enough to affect things. It allows you to enter an intended working tension and it will indicate what frequency that gauge will actualy produce at that pull. Dial in a more firm feeling on the bass string by setting a higher tension target. Check if your current tuning is heavy enough or if you need to go up a size.

Then there’s total load. With single string instruments, one pulls on the bridge pin, while on instruments like the mandolin with double courses, the tension doubles because two strings is pulling against the same pin. If left unchecked, this added tension will warp the neck over time. The course total row provides another sanity check to see if the choice of tuning is wise based off your hardware.

The bottom line is this… Strings are all about compromise. Sustain without stiffness. You get projection without finger pain. That balance typically comes after a couple of tries, but if you can understand the relationship between tension, pitch, and gauge then each trial is an informed decision rather than a blind guess. It becomes a calculated experiment when it come time to shop. When you get it, you don’t have to guess anymore at what sounds right. Instead, you create sets that feel right. Now you’ll still swap out some strings over time, but only because you know precisely why they sound the way they do.

String Gauge to Frequency Calculator

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