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Fret

A fret is one of a series of ridges, typically made of metal wire, fixed perpendicularly across the fingerboard of a fretted stringed musical instrument such as a guitar, banjo, or mandolin, which divide the neck into segments to produce distinct pitches when a string is pressed down against it.^[1] These raised bars allow players to shorten the vibrating length of each string precisely, facilitating accurate intonation and enabling the production of notes in equal temperament by altering pitch in semitone intervals.^[2] The term "fret" derives from Middle English freten, meaning "to bind" or "to tie," reflecting the original method of securing early frets around the instrument's neck like loops or laces.^[3] The use of frets dates back to ancient civilizations, with evidence of fretted stringed instruments appearing in Chinese artifacts from remote antiquity, where they served to guide finger placement for consistent tonality.^[4] In European musical traditions, frets emerged prominently on lutes during the 15th century, initially as tied loops of gut string or catgut wrapped around the neck at intervals calculated for just intonation, which could be adjusted for different keys or tunings.^[5] By the 18th century, tied gut frets were common on instruments like the mandolin, which began incorporating metal strings in the late 18th century for greater volume, though gut frets could be adjusted but wore with use. Modern frets, introduced in the early 19th century, consist of pressed-in metal alloys such as nickel silver or stainless steel, offering greater longevity, smoother playability, and resistance to wear from steel strings under high tension.^[6] Their spacing follows a mathematical progression based on the twelfth root of two to approximate equal temperament across the instrument's range, typically numbering 20 to 24 on a standard electric or acoustic guitar.^[7] Variations include fretless designs on instruments like the violin or upright bass for continuous pitch variation via glissando and microtonal expression, as well as scalloped or jumbo frets on some guitars to enhance speed and vibrato control.^[4] Frets revolutionized stringed instrument design by democratizing access to precise intonation, influencing genres from classical lute music to contemporary rock and metal.^[8]

Fundamentals

Definition and Purpose

A fret is any of a series of thin, raised ridges, typically made of metal wire, embedded laterally across the fingerboard (or neck) of a stringed musical instrument to divide the string's length into discrete segments.^[1] These ridges, when the string is pressed against them by the player's fingers, shorten the effective vibrating length of the string from the bridge, thereby producing higher pitches corresponding to specific notes in a musical scale.^[2]^[9] The primary purpose of frets is to facilitate accurate pitch production and consistent intonation across the instrument's range, allowing players—particularly beginners—to locate notes reliably without advanced finger placement skills.^[10] By providing fixed division points, frets divide the scale length into semitones or other tempered intervals, supporting systems like equal temperament for harmonic compatibility in ensemble playing.^[11] This design enhances playability and tonal clarity, as the hard fret surface allows the string to vibrate more freely and sustain longer compared to direct fingertip contact alone.^[9] Frets are a defining feature of many chordophones, including guitars, lutes, banjos, ukuleles, and ouds, where they enable polyphonic chordal and melodic performance.^[12] Historically, frets originated on early plucked string instruments to mark precise division points for tuning and pitch production, akin to the movable bridges used on the ancient monochord for demonstrating harmonic ratios.^[13] This innovation, evident in medieval lutes and their precursors, allowed for standardized scales and facilitated the evolution of complex musical traditions.^[12]

Basic Mechanics

In fretted string instruments, such as the guitar, the primary mechanism for altering pitch involves pressing a string against a fret with a finger, which shortens the effective vibrating length of the string from the bridge to the point of contact at the fret.^[14] This reduction in length increases the frequency of vibration, thereby raising the pitch; the pitch rises proportionally to the inverse of the length ratio, as a halved length doubles the frequency, corresponding to an octave higher.^[14]^[15] The fundamental physics governing this process is described by the wave equation for a vibrating string under tension, where the frequency f of the fundamental mode is given by

f = \frac{1}{2L} \sqrt{\frac{T}{\mu}},

with L as the vibrating length, T as the string tension, and \mu as the linear mass density of the string.^[15] Frets enforce discrete values of L by providing fixed contact points along the fingerboard, allowing players to select specific pitches from the open-string fundamental.^[16] Tension and mass density remain constant for a given string unless adjusted at the tuning pegs or bridge, so changes in pitch are achieved solely through length variation via fret contact.^[17] Proper finger placement requires only light pressure to ensure the string contacts the fret without excessive force, as the fret's raised position facilitates clear vibration termination. Over-pressing can slightly bend the string beyond the fret, effectively shortening L further and causing a small upward intonation shift due to the altered geometry.^[18] Frets also enable efficient multi-string interactions, such as barring, where a single finger presses across multiple strings at the same fret to form chords, allowing simultaneous sounding of notes at identical relative positions from the bridge.^[19] This technique leverages the uniform spacing of frets to maintain consistent pitch intervals across strings.^[14]

Temperament and Calculation

Equal Temperament

Equal temperament is a musical tuning system that divides the octave into twelve equal semitones, with each semitone corresponding to a frequency ratio of $2^{1/12}, approximately 1.05946.^[20] This equal division ensures that the logarithmic interval, measured in cents, is uniformly 100 cents per semitone, providing a consistent scale for fixed-pitch instruments.^[20] Adopted as the foundation of modern Western music over the past two centuries, it approximates just intervals while prioritizing uniformity across the chromatic scale.^[20] In fretted instruments such as guitars and lutes, equal temperament dictates fret placement to produce these uniform semitone intervals along the neck, aligning all strings to the same pitch standard regardless of position.^[21] This configuration is particularly suited to the Western chromatic scale, enabling seamless execution of melodies and harmonies in any key while minimizing audible beating in chords through even distribution of intonation discrepancies.^[22] Fret positions are directly derived from this temperament to maintain the equal semitone progression from the nut onward. The primary advantages of equal temperament include the ability to perform in all twelve keys without retuning, making it highly practical for ensemble playing and solo improvisation on instruments like guitars.^[23] It supports unrestricted modulation between keys, a cornerstone of complex Western compositions, and parallels the fixed tuning of pianos where versatility across tonalities is essential.^[23]^[20] However, equal temperament compromises on the purity of intervals found in just intonation, which relies on simple integer frequency ratios, leading to slight dissonance in contexts emphasizing consonant harmonies such as unaccompanied thirds.^[24] For instance, the major third is tempered wider by about 14 cents compared to its just ratio, potentially causing subtle harshness in solo or a cappella settings.^[24] Equal temperament gained prominence for fretted instruments in Renaissance Europe due to the practical challenges of unequal spacing on fixed frets, as advocated by theorists like Vincenzo Galilei in the late 16th century, and solidified as the standard across Europe by the 18th century amid growing demands for chromatic flexibility.^[25]^[21]

Fret Position Formulas

The position of the nth fret on a stringed instrument tuned to equal temperament is calculated to ensure that each fret corresponds to a semitone interval, dividing the octave into 12 equal parts logarithmically. The standard formula for the distance from the nut to the nth fret, denoted as d_n, is given by:

d_n = S \left(1 - 2^{-n/12}\right)

where S is the scale length (the vibrating length of the open string from nut to bridge). This positions the frets such that the vibrating string length behind the nth fret is S \cdot 2^{-n/12}, producing a frequency increase of $2^{n/12} times the open string frequency.^[18]^[26] The derivation stems from the inverse relationship between string length and frequency in the physics of vibrating strings: frequency f is proportional to $1/L, where L is the vibrating length. In equal temperament, each semitone multiplies the frequency by the constant r = 2^{1/12} \approx 1.05946, the twelfth root of 2. Thus, the length at the nth fret is the open length divided by the cumulative product r^n, or L_n = S / r^n = S \cdot 2^{-n/12}. The fret position from the nut is then the difference S - L_n, yielding the formula above. This geometric progression ensures consistent semitone intervals across the fretboard.^[18] Practical adjustments to this formula may account for fret height compensation, where the string contacts the top of the fret rather than the fingerboard, requiring fret slots to be placed slightly closer to the nut. A common historical approximation is the "rule of 18," where the first fret is placed at approximately S / 18 from the nut, and subsequent frets are positioned by dividing the remaining distance by 18 iteratively. This rule approximates the exponential spacing and inherently incorporates typical bridge saddle compensation (offset of about S / 18) for improved intonation, though the more precise constant for uncompensated positions is 17.817, derived from $1 / (1 - 2^{-1/12}). For accuracy, modern calculations use the exact exponential formula with software offsets.^[26]^[27] For a typical 24-fret guitar with a scale length of 25.5 inches (648 mm), the first fret is positioned at approximately 1.43 inches (36.3 mm) from the nut, calculated as $25.5 \times (1 - 2^{-1/12}) \approx 1.43. The 12th fret falls at exactly half the scale length (12.75 inches or 324 mm), marking the octave, while the 24th fret is at $25.5 \times (1 - 2^{-24/12}) = 25.5 \times (1 - 0.25) = 19.125 inches (486 mm). These positions compress progressively toward the body, reflecting the logarithmic nature of pitch perception.^[18]^[28] Fret calculators and software facilitate precise computation for custom scales, incorporating the equal temperament formula and optional compensations. Tools like the StewMac Fret Position Calculator allow input of scale length and number of frets to output positions in inches or millimeters, often using the 17.817 rule for iterative placement. Open-source alternatives, such as those based on the twelfth root of 2, enable luthiers to generate fretboard layouts for non-standard instruments.^[28]^[26] Variations exist for non-equal temperaments, such as just intonation, where fret positions are derived from rational frequency ratios rather than logarithmic division. For instance, a perfect fifth (seven semitones) uses the ratio 3/2, so the vibrating length at that fret is S \times 2/3, positioning the fret at S \times (1 - 2/3) = S/3 from the nut. Full scales accumulate products of such ratios (e.g., 9/8 for major second, 5/4 for major third), though this limits transposition across keys and is less common in modern fretted instruments. Historical systems, like the Pythagorean scale, similarly employed powers of 3/2 for fifths, but equal temperament's formula predominates for versatility.^[18]^[29]

Design and Variations

Materials and Construction

Frets are typically constructed from metal alloys to ensure durability and precise string contact. The most common material for guitar frets is nickel-silver, an alloy composed of copper, zinc, and approximately 18% nickel, which provides a balance of moderate hardness for wear resistance and a warm tone.^[30]^[31]^[32] Stainless steel frets, made from a corrosion-resistant alloy, offer superior hardness that enhances longevity and produces a brighter tone with increased sustain due to their hardness and other acoustic properties.^[30]^[31]^[33] Brass frets, an alloy of copper and zinc, are softer and impart a vintage warmth to the instrument's sound, though they exhibit lower wear resistance compared to harder alloys.^[31] Synthetic materials like plastic are occasionally used in budget instruments for cost efficiency, but they lack the hardness and tonal qualities of metal frets. Key properties of fret materials include hardness, which determines resistance to wear from string friction; density, influencing sustain and tonal brightness; and corrosion resistance, particularly important for stainless steel in humid environments.^[32]^[31] Nickel-silver, with a Vickers hardness around HV5/200, strikes a practical balance for most players, while stainless steel's higher HV 300 rating makes it ideal for heavy use.^[32] Material choice can influence fret wear rates, with harder options like stainless steel extending service life.^[33] Fret construction features a T-shaped cross-section, consisting of the tang—a barbed lower portion embedded into the neck's fretboard slots—and the crown, the rounded upper surface that contacts the strings.^[32] Slots are precisely cut using a fret saw guided by a jig to match the fretboard's radius and scale length.^[34] During installation, individual fret pieces are trimmed to length, their tangs are nipped at the ends if needed, and the frets are hammered or pressed into the slots using specialized tools like a fret press or hydraulic press for secure seating, sometimes with glue for added stability.^[34] Post-installation, the frets undergo leveling with a straightedge and abrasive beam to ensure even height, followed by crowning with triangular files to restore the rounded profile, and final polishing for smooth playability.^[35] Modern innovations in fret construction include pre-slotted fretboards, where slots are factory-cut for easier assembly, and cryogenic treatment of nickel-silver wire, which enhances hardness and wear resistance without altering the alloy's composition.^[32] These advancements, such as cryogenically treated "cryowire," improve longevity while maintaining traditional workability.^[32]

Shapes and Configurations

Frets on stringed instruments exhibit a variety of shapes designed to optimize playability, durability, and tone. Standard shapes include rectangular-crowned frets, which feature a flat top and are commonly used on Gibson guitars for their stability and resistance to wear under heavy playing.^[32] V-shaped frets, narrower and often found on pre-WWII and vintage Fender models, provide enhanced finger comfort by allowing the fingertips to rest more naturally without excessive pressure on the fingerboard.^[32] Jumbo frets, characterized by their taller and wider profile, improve visibility of the fret positions and facilitate easier string bending, making them popular on modern electric guitars.^[36] Configurations of frets vary to accommodate different fingerboard geometries and playing techniques. Straight frets, parallel to the bridge, are the norm on most Western guitars, ensuring uniform intonation across the neck. Curved frets, bent to match the radius of the fingerboard, appear on instruments with arched tops or radiused boards, such as certain classical guitars, to maintain consistent string height and action.^[37] Scalloped configurations, where the wood between frets is indented or "scooped out," enhance bending ease by providing additional clearance under the strings, reducing fingerboard contact during aggressive techniques.^[38] Instrument-specific variations highlight cultural adaptations in fret design. On the sitar, tied gut frets—loops of gut or nylon thread knotted around the neck—allow for adjustable positioning and produce a characteristic buzzing sympathetic resonance. Fan frets, angled outward in a fanned layout on multi-scale guitars, optimize string tension by assigning longer scales to lower strings and shorter ones to higher strings, improving playability across extended ranges.^[39] Fret layouts typically feature 12 to 24 frets on guitars, with the exact number depending on the instrument's scale and design—fewer on classical models for focus on open-position playing, and more on electrics for higher-register access. Spacing progresses logarithmically, becoming closer at higher frets to reflect the equal temperament scale, as determined by standard fret position formulas.

Specialized Applications

Semi-Fretted Instruments

Semi-fretted instruments incorporate frets on select strings or fingerboard sections, creating a hybrid system that blends the pitch accuracy of fretted areas with the expressive range of unfretted portions. This design facilitates nuanced playing styles where fixed notes coexist with continuous intonation, distinguishing it from fully fretted or entirely fretless configurations. Such instruments appear in both traditional and innovative applications, emphasizing versatility in pitch control.^[40] Traditional examples include the archlute, a Baroque-era lute variant featuring a fretted neck for upper courses while the extended bass rider holds unfretted diatonic bass strings, allowing open-string drones and simple bass lines without fret interference.^[41] Similarly, the Afghan rubab uses four tied frets exclusively on its three main melody strings to define semitones, leaving the two or three drone strings and up to 15 sympathetic strings unfretted for resonant sustain and harmonic depth.^[42] In some lutes, movable gut frets are applied selectively to upper courses, enabling temperament adjustments, while lower bass courses remain largely unfretted in practice to preserve their fundamental tones.^[43] The Persian setar exemplifies semi-fretted principles in non-Western traditions through its 24 to 28 movable gut frets (known as parde) along the fingerboard, which can be repositioned for microtonal scales essential to classical Persian music, offering flexibility akin to fretless play while guiding discrete pitches.^[44] This setup balances structural support for accurate intonation on melody lines with adjustable intervals for expressive ornamentation. Advantages of semi-fretted systems lie in their ability to combine reliable discrete pitches on fretted sections for melodic clarity with microtonal flexibility on unfretted areas for slides, bends, and subtle inflections, a trait particularly valued in traditions like Persian dastgah where precise yet variable tuning is paramount.^[44] However, challenges arise from potential intonation inconsistencies between fretted and unfretted zones, as string tension and finger pressure variations can cause pitch discrepancies, necessitating careful setup and player expertise to achieve harmonic coherence.^[40] In modern applications, experimental guitars and basses employ partial fretting for extended techniques, such as the Ibanez SRAS7 hybrid model, where lower strings are fretted for stable bass lines and upper strings are fretless for fluid glissandi and overtones, enabling composers and performers to explore timbral contrasts and unconventional phrasing.^[40] This approach contrasts with fully fretless instruments by providing targeted pitch anchors amid broader expressive freedom.

Fretless Comparisons

Fretless instruments, including the violin, double bass, and fretless bass guitar, produce pitch by pressing strings against a smooth fingerboard, relying entirely on the player's finger placement to shorten the vibrating string length without the aid of raised metal dividers.^[45] This design contrasts sharply with fretted instruments, where fixed frets ensure precise intonation and simplify note location, making them more accessible for beginners who can develop muscle memory without constant tuning adjustments.^[46] However, fretless models offer unique advantages in expressiveness, allowing performers to execute seamless slides, wide vibrato, and subtle microtonal variations that enhance emotional depth but demand rigorous ear training and finger precision to maintain accurate pitch.^[47] To aid intonation on fretless basses, many feature visual aids such as side-position dots, painted lines indicating traditional fret locations, or temporary adhesive tapes applied to the fingerboard for reference during practice.^[48] These techniques are especially prominent in jazz, where fretless bass guitars enable melodic solos and gliding phrases, as exemplified by Jaco Pastorius's influential work on albums like Jaco Pastorius (1976), and in folk styles, including variants of the Turkish saz family adapted for continuous intonation in regional traditions.^[47] Fretless configurations also appear in ethnic plucked instruments like the oud, a pear-shaped lute central to Turkish and Middle Eastern music, where the absence of frets facilitates quarter-tone scales and ornamentation.^[49] Converting a fretted bass guitar to fretless involves removing the metal frets, filling the slots with epoxy or wood, and refinishing the fingerboard, providing an economical path to explore the design but risking uneven playability and intonation if not performed by a skilled luthier.^[50] Fretted basses deliver a consistent, articulate tone with defined note attacks suitable for rhythmic drive, whereas fretless versions yield a warmer, more sustained sound with richer overtones due to direct string-to-wood contact, though this can reduce percussive clarity in styles like slap bass.^[51] Culturally, fretless instruments prevail among bowed strings, such as the violin and double bass in classical and orchestral settings, and in select plucked ethnic traditions, emphasizing fluid phrasing over fixed pitches.

Technical Issues

Intonation Adjustment

Intonation in fretted string instruments ensures that pitches remain accurate across the fretboard, but frets often result in sharp or flat notes deviating from equal temperament due to the physical effects of string thickness, which increases tension and stiffness when pressed, and neck relief, which alters string geometry and vibrating length.^[18] These issues stem from the fact that fretting shortens the string but raises its pitch beyond theoretical expectations because of inharmonicity caused by the string's intrinsic stiffness and the deformation at the fret contact point.^[52] For instance, higher frets amplify these deviations, with stiffness contributing up to 65% of the error at the 12th fret in classical guitars.^[52] Measurement of intonation typically involves tuning the open string, then comparing the 12th-fret harmonic (a natural overtone) to the fretted note at the same position using a chromatic tuner; if the fretted note is sharp, the effective scale length is too short, and if flat, too long.^[53] This method, often extended to the 17th fret for verification, quantifies errors in cents, where uncompensated setups can exceed 14 cents deviation, unacceptable for professional play.^[18] Primary adjustment methods include nut and saddle compensation, where the bridge saddle is moved forward or backward to lengthen or shorten the scale for individual strings, and fret leveling combined with precision filing to achieve uniform height and eliminate localized pitch inconsistencies.^[53] Truss rod tweaks adjust neck relief to maintain optimal string action, preventing excessive height that exacerbates intonation errors.^[53] Real-world deviations from ideal fret position formulas necessitate these compensations, as theoretical equal-temperament placements ignore string stiffness and pressing dynamics.^[18] Influencing factors encompass scale length variations, typically 640–660 mm in guitars, which affect compensation amounts, and string gauge, where thicker strings demand greater saddle setbacks (up to 0.998 cm) due to higher stiffness.^[18] Compensated nuts, common in acoustic guitars, provide initial corrections by slightly offsetting string slots to address low-fret inaccuracies.^[53] Essential tools for these adjustments include feeler gauges to measure string-to-fret clearance, fret rockers—precision straightedges that rock on high or low frets to identify leveling needs—and specialized files for crowning frets evenly.^[54] In contemporary practice, digital intonation analyzers such as strobe tuners offer cent-level precision for measurements, while software simulations optimize nut and saddle positions by modeling string physics and fret interactions.^[55]^[56]

Buzz and Wear

Fret buzz refers to the unwanted rattling or metallic noise produced when a vibrating string contacts an adjacent fret, often resulting from low string action where the strings are set too close to the fretboard.^[57] This issue can also arise from uneven frets, where some frets protrude higher than others due to manufacturing inconsistencies or prior wear, or from neck warp that alters the fretboard's curvature.^[58] High humidity levels can exacerbate neck warp by causing the wood to swell unevenly, while poor setup—such as inadequate truss rod adjustment—may fail to compensate for these environmental changes.^[58] Diagnosing fret buzz typically involves checking string height at the 12th fret, inspecting fret evenness with a straightedge, and assessing neck relief by sighting down the fretboard edge. Common fixes include raising the string action via bridge or saddle adjustments to provide clearance for string vibration, refretting to level and recrown uneven frets, or adding neck relief through truss rod tightening to restore proper bow.^[57]^[58] In some cases, persistent buzz may manifest as dead spots, where specific notes lack sustain due to wolf tones—resonant frequencies in the instrument's body that interfere with string vibration, often noticeable on lower frets.^[59] Fret wear occurs primarily through corrosion from finger sweat and oils, as well as mechanical flattening of the fret crowns due to repeated abrasion by strings during playing.^[60] Visible signs include dull, tarnished surfaces, flattened tops that reduce the rounded contact point with strings, and grooves worn into the metal, all of which can lead to a muffled or inconsistent tone.^[61] Regular maintenance helps mitigate wear; cleaning frets with lemon oil removes buildup and conditions the surrounding fretboard, ideally performed every six months or during string changes to prevent corrosion.^[62] For heavy players, full fret replacement is typically needed every 5-10 years, depending on playing intensity and fret material, as worn frets compromise playability and tone.^[61] Acoustic guitar strings, often made of harder bronze or phosphor bronze, accelerate fret wear compared to the softer nickel-plated steel strings used on electrics, due to increased abrasiveness during bending and fretting.^[63] Materials like stainless steel frets offer greater resistance to both corrosion and flattening than traditional nickel silver.^[60]

Historical Development

Origins in Ancient Instruments

The earliest evidence of frets on stringed instruments appears in ancient Egyptian necked lutes dating to the New Kingdom period (c. 1550–1070 BCE), where tied gut frets were used to divide the neck for precise pitch production. These lutes, often depicted in tomb paintings and reliefs, featured long necks extending from bowl-shaped resonators covered in animal skin, with gut frets tied around the neck to facilitate stopped notes.^[64] Similarly, Mesopotamian tanburs from the third millennium BCE, long-necked lutes central to early Near Eastern music, incorporated frets as suggested by later iconographic evidence from Akkadian-era artifacts showing performers in ensemble settings.^[65] These instruments represent the initial adaptation of frets to enhance intonation on plucked strings, predating their spread to other regions. In Asia, fretted instruments emerged independently with precursors to the Indian veena around 300 BCE, where movable frets allowed for microtonal adjustments essential to early scalar systems.^[66] The veena's antecedents, including stick zithers and arched harps referenced in Vedic texts, evolved to include tied frets on the neck to produce subtle pitch variations beyond equal temperament, which developed later in Western traditions.^[67] In China, precursors to the pipa, such as the ruan lute from the Qin Dynasty (circa 221–206 BCE), featured straight necks with multiple frets tied or fixed to divide the string length, influencing courtly performances and drawing from Central Asian prototypes like the barbat.^[68] Early frets were constructed from organic materials including gut, leather strips, or ivory ties, wrapped around the neck to create raised divisions without permanent alteration to the wood.^[69] Gut, often from animal intestines like sheep, was the most common due to its pliability and availability, allowing musicians to adjust positions slightly for tuning; leather and ivory provided durability in humid climates or for decorative purposes in elite instruments. These non-metallic frets contrasted with later metal bar frets, prioritizing flexibility over rigidity. Frets served primarily to aid ensemble playing in ancient royal courts, ensuring consistent pitches across instruments like lutes and tanburs during communal rituals and performances.^[70] Their placement was influenced by monochord divisions, where a single string was segmented mathematically to derive harmonic intervals, a principle echoed in Mesopotamian and Egyptian music theory for scalable tuning.^[71] African influences, such as the Ethiopian krar lyre with its ancient bowl-shaped form, represent a persistent fretless tradition tracing to Nilotic origins, contrasting with the adoption of frets in other regions.^[72] Medieval developments bridged ancient and European traditions, with the Arabic oud (typically fretless) influencing the fretted lute through Islamic Spain and Sicily by the 12th–13th centuries, introducing tied gut frets to facilitate just intonation in court music.^[73]

Modern Evolution

The evolution of frets from the Renaissance onward marked a shift from tied gut constructions to durable metal designs, enabling greater precision and compatibility with evolving string materials. In 16th-century Spain, the vihuela featured tied gut frets, typically numbering around eight to ten on its neck, allowing for intricate polyphonic music while maintaining the instrument's lute-like tuning.^[74] This fretting system was adopted across the lute family in Europe, where tied frets facilitated adjustable intonation for the period's gut strings and facilitated the instrument's spread in Renaissance courts.^[73] By the 19th century, the advent of steel and wire-wound strings necessitated more robust frets to withstand higher tension, leading to the introduction of fixed metal bar frets on early guitars. These bar frets, square-bottomed with a radiused top to match the fingerboard, were pressed into slots and represented the first widespread use of metal in fret construction, improving durability and playability on parlor guitars.^[8] Industrial manufacturing techniques, including mechanical pressing, enabled mass production of these frets, particularly for American makers like C.F. Martin, transforming guitar construction from artisanal to scalable.^[75] In the early 20th century, Gibson advanced this design by incorporating bar frets into their archtop guitars, such as the L-1 models from the 1900s onward, where the frets served dual purposes of pitch division and neck reinforcement against string tension.^[75] The 1929 patent for T-shaped frets by Clinton F. Smith further refined installation by allowing wire to be hammered tang-first into slots, a method that became standard and facilitated the transition to electric guitars.^[8] Mid-20th-century innovations focused on material enhancements for electric instruments; Fender's 1950s Stratocasters employed narrow nickel-silver frets, optimized for smooth bends and slides in emerging rock and blues styles, setting a benchmark for low-profile designs.^[76] The 1980s saw the patenting of fanned frets by luthier Ralph Novak, which angled frets to accommodate varying scale lengths per string for improved intonation on extended-range guitars; Strandberg later popularized this in their headless models starting in the 2000s.^[77] Contemporary advancements emphasize functionality and sustainability. LED-lit frets, as in the Fretlight system introduced in the early 2000s, embed super-bright LEDs into the fretboard to visually guide players, particularly for learning complex scales and chords via app integration.^[78] For environmental impact, composite materials like Richlite—made from recycled paper and non-toxic resins—are increasingly used for fretboards, offering ebony-like density and stability while reducing reliance on endangered hardwoods.^[79] The electric guitar's dominance since the 1950s drove global standardization, with 22-fret necks and medium-jumbo nickel-silver frets becoming ubiquitous across genres from classical adaptations to rock and metal shredding.^[75] This standardization has fueled a custom culture, exemplified by Warmoth's offerings since 1980, where players select fret sizes, materials like stainless steel for longevity, and exotic inlays tailored to genres like progressive metal.^[80]

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MTO 4.4: Scholtz, Algorithms for Tunings and Temperaments
The equal temperament algorithm is the same as the Pythagorean algorithm except that the interval in step 2 is 1/12 of a Pythagorean comma narrower than a pure ...
[22]
Why Your Guitar Won't Play Perfectly in Tune—and Why That's OK
Jan 12, 2025 · Let's compare that to the same note/fret with equal temperament. Starting from 100Hz, we end up with a fifth note at 100 times (1.05946 to the ...
[23]
What are the advantages of the equal temperament? | Hans Rudolf ...
Mar 17, 2022 · 1. One single tuning serves all keys: the fundamental tone is freely selectable. · 2. Free modulation · 3. “Bonus keys” · 4. Polytonality.
[24]
Difference between equal temperament and just intonation - Music
Apr 8, 2015 · Just intonation uses simple whole number ratios for intervals, while equal temperament divides octaves into 12 equal intervals, compromising ...Why Is Just Intonation Impractical? - Music Stack Exchangeguitar - How to compensate for inaccuracy of equal temperament?More results from music.stackexchange.comMissing: disadvantages | Show results with:disadvantages
[25]
(PDF) A Clear and Practical Introduction to Temperament History
Dec 12, 2018 · It covers the history of European temperament tuning practice from the Renaissance to the adoption of equal temperament in the 18th and 19th centuries.
[26]
Calculating Fret Positions - Liutaio Mottola
Jun 19, 2025 · Fret positions can be calculated using the historical "Rule of 18" or the modern method using the 12th root of 2. Calculators are available for ...
[27]
Rule of 18 vs Rule of 17.817 - Guild of American Luthiers
May 5, 2021 · Rule of 18 includes its own compensation factor in regard to the position of the bridge. Most commonly used today, is the square root of two, or 17.817.
[28]
https://www.stewmac.com/fret-calculator/
[29]
Yet Another Fret Calculator - The Kimerers
This selection tells YAFCalc to calculate fret positions for an Equal Tempered Chromatic scale. That is the normal scale to use for instruments like guitars and ...
[30]
Should I Fret About My Frets? Fret Sizes and Materials Explained
Oct 21, 2024 · Frets divide strings into notes and affect playability. Common materials are nickel-silver, stainless steel, and gold. Fret height and width ...
[31]
Guitar Hardware School: Frets II - Materials
Dec 11, 2013 · Common fret materials include brass, nickel silver, stainless steel, and Evo. Nickel silver is most common, and stainless steel is very hard.
[32]
Guitar Fret Wire - Sizes, Materials, & How To Choose
Fret Wire Materials · Nickel Silver · Gold Fretwire · Stainless Steel · Cryowire.
[33]
Fret Types and Sizes - Alloy Guitars
Stainless Steel frets are made from harder material than Nickel-Silver. Because of this, the frets wear more slowly. The hardness of the material is great… but ...
[34]
https://luthierylabs.com/laboratory/building-necks/fretboards/installing-frets/
[35]
Installing Frets (1/2) - Luthiery Laboratories
Fret slots are cut using a guide and jig, with a saw. Fret tangs are nipped, and set in a specific order, using a hammer.
[36]
Fret Crowning Files (The Ultimate Luthier's Guide) - The Art Of Lutherie
Fret crowning is when the fret wire is shaped back into a nice even, rounded and comfortable shape after the fret leveling has been completed.
[37]
Narrow Tall? Medium Jumbo? Fret Sizes Explained - Fender
How does fret wire size affect playing style? Why have different fret sizes for guitars? fret sizes? Learn about jumbo frets vs medium jumbo frets and more.Missing: rectangular V- shaped sources
[38]
What Is Fingerboard Radius? - InSync - Sweetwater
Apr 29, 2025 · Classical guitars traditionally have no radius whatsoever. Martin acoustic guitars have had a 16-inch radius dating back to the 1930s.
[39]
The Scalloped Fretboard Guitar - Ancient Future
With a scalloped fretboard guitar, the pads of the guitarist's fingers touch only the strings, and not the fretboard. This facilitates note-bending techniques.
[40]
Krar | musical instrument - Britannica
In some cases the sound is made to buzz either by running the strings close to the skin or by placing a rattling object on the skin under the strings.Missing: frets | Show results with:frets
[41]
Fanned Fret and Multi-Scale Guitars, Explained. - Stringjoy
Feb 21, 2019 · It's just going to have the same sort of tension as a 25.5 inch straight fret guitar and if you're tuning down or anything like that, you'll ...
[42]
Bass Bench: The Hybrid Fretted/Fretless Electric Bass - Premier Guitar
Dec 4, 2014 · These hybrids sport fretted and fretless areas on a single neck, and there are different ways to accomplish this.
[43]
David Tecchler - Archlute - Italian - The Metropolitan Museum of Art
One variant appearing in Rome at the end of the sixteenth century, dubbed the Roman arch lute, accommodated unfretted diatonic bass strings and was tuned to ...Missing: rider | Show results with:rider
[44]
Rubab - The Music Room
The rubab is a short-necked double-chambered plucked lute with three main strings (tuned in 4ths), four frets (giving 12 semitones to the octave), two or three ...
[45]
Choosing a Lute - Casey Fitzpatrick
Jun 16, 2019 · Common tuning: GDAFCG + Fret-able (F, Eb, D, C) Diapasons +Non fret-able (B,A,G,F) Diapasons. Make sure you find one with a pegbox for courses ( ...<|control11|><|separator|>
[46]
The Setar: Supreme in Persian Classical Music
Jun 1, 2015 · The resonating box of the setar is attached to a long neck with twenty-five gut frets. The soundbox is made from mulberry wood, while the neck ...
[47]
A Guide to Buying A Bass Guitar For Beginners - Fender
Both the upright bass and the fretless electric bass guitar are undoubtedly impressive instruments. However, they are better suited for more seasoned ...
[48]
Fretted vs. Fretless Bass Guitar - What Are The Pros And Cons
Aug 30, 2018 · The frets allow the bassist's hands to fly over the neck without worrying about absolute precision.Missing: comparison | Show results with:comparison
[49]
The Fretless Bass: The Pros & Cons | Bax Music Blog
### Pros and Cons of Fretless Bass
[50]
Mark Egan – FretlessBass.com
Intonation is so important on a fretless bass, because it's up to you. You really need to have inlaid markers on the neck in order to visually be in the ...
[51]
https://producerhive.com/buyer-guides/bass-guitars/fretless-bass-vs-fretted/
[52]
Fender Jaco Pastorius Fretless Jazz Bass - 3-color Sunburst
... fretted-to-fretless conversion? The widely held belief is that he ripped the frets out and patched the holes that remained with wood filler, and then coated ...Missing: cons | Show results with:cons
[53]
Fretless Bass vs Fretted (Pros, Cons & Which Is Easier?)
May 7, 2022 · The main difference is the tone (sound), strings, and playing technique. Fretless Bass Tone: Tone or the fretless bass sound is the primary ...
[54]
Classical guitar intonation and compensation: The well-tempered ...
Jul 26, 2024 · First, the string is elevated above the frets by the saddle and nut, so the fretted string is slightly elongated relative to the free string, ...
[55]
The Complete Guide To Guitar Intonation - MusicNomad
The solution is to fill the saddle slot, which is a job for a qualified luthier or guitar technician. ... Will Uneven Frets Cause Intonation Problems? Yes ...Missing: methods | Show results with:methods
[56]
https://www.guitarworld.com/news/pitchslap-intonation-app
[57]
Research
### Summary of Digital Tools and Software for Guitar Intonation Analysis (Byers Guitars Research Page)
[58]
PitchSlap: tuning app that helps you intonate your guitar - Guitar World
Apr 25, 2022 · New iOS app PitchSlap aims to offer players more than just tuning, incorporating an intonation tool and the ability to store and edit tunings for all of your ...
[59]
Buzz Off: How to Deal With Fret Buzz - Fender
Fret buzz can be caused by uneven frets, low string action, a worn nut, or incorrect neck relief. Check your technique and assess the guitar.
[60]
Guitar Setup: How Much String Buzz Is Normal? - Sweetwater
Jun 16, 2023 · String buzz can be very frustrating, so in this guide we will discuss causes of string buzz and how to fix them. Click here to learn more!
[61]
Dead spot / frequency - how common? - Official PRS Guitars Forum
Nov 21, 2020 · In wolf tones it amplifies and so the sustain goes on much longer. That is why it only happens on one fret or another, you can only get it on ...So where are these "Dead Spots" I keep hearing about?Dead spots on CU24 guitars | Official PRS Guitars ForumMore results from forums.prsguitars.com
[62]
Understanding Frets and Fret Wear - Premier Guitar
Mar 11, 2013 · Every time you press your strings against the frets, the friction between them subtly changes the shape of the frets, causing them to wear out.<|control11|><|separator|>
[63]
Guitar Shop 101: Squeezing More Life Out of Worn Frets
Jan 23, 2015 · People use different terms to describe basic fret maintenance. I've heard it called fret leveling, fret treatment, recrowning, grind and polish, and fret ...
[64]
How Often Should I Clean My Fretboard? - InSync - Sweetwater
Jan 13, 2017 · For that, many manufacturers recommend every six months you should clean your fretboard with a specialty wood oil. The better oils are natural, ...
[65]
Which Guitar Strings Wear Your Fret Wire Down More? - Stringjoy
Mar 16, 2018 · On electric guitars, your wound stings will eventually wear down your frets. But it can take quite a while. With acoustic guitar strings it isn' ...
[66]
An analysis of ancient Egyptian chordophones and their use (MA ...
This paper evaluates the interpretative possibilities the material, more specifically ancient Egyptian stringed musical instruments or 'chordophones', has to ...
[67]
The Tanbur: History and Origin of a Musical Lineage
Jul 12, 2025 · The Tanbur describes a family of long-necked string instruments with origins stretching back over four millennia in Mesopotamia, Southern, ...
[68]
The Veena and the Yazh: With special Reference to Frets
Somanathar's 12th-century work details the structural differences between North and South Indian musical instruments. Evidence suggests the yazh had nine frets, ...<|separator|>
[69]
Veena | Indian Classical Music, Stringed Instrument | Britannica
Veena, any of several stringed musical instruments of India, including arched harps (before 1000 ce), stick zithers, and lutes.Missing: microtones BCE
[70]
Chinese Musical Instruments
Ruan - very ancient four-stringed moon-shaped lute with long and straight neck and various number of frets, dated back at least to Qin Dynasty (around 200 BC).Missing: precursors | Show results with:precursors
[71]
Strings--a history | cumpiano-guitarmaker
Gut-strung instruments historically had tied-on, movable gut frets, rather than the hammered-in frets found on instruments using more uniform wire strings.
[72]
Tanbur | 12tonemusic
Nov 20, 2014 · The tanbur is found both fretted and fretless. Tomb paintings and stone carvings in Babylon and Egypt show tanburs being played in ensemble ...Missing: evidence | Show results with:evidence<|separator|>
[73]
[PDF] The Monochord in Ancient Greek Harmonic Science
The monochord, with a single string and movable bridges, was used to demonstrate musical relationships and study music as an arithmetical science.
[74]
Vihuela - Lute Society of America
Like other musical instruments of the sixteenth century, the vihuela was clearly made as a family of different-sized instruments, tuned to different pitches.Missing: fixed metal
[75]
The Lute - The Metropolitan Museum of Art
Apr 1, 2010 · The Lute. It is not until the thirteenth century that the Western lute can be distinguished from the Arab 'ud in iconography.Missing: leather | Show results with:leather
[76]
The History of the Fender Stratocaster | GC Riffs - Guitar Center
Jul 18, 2024 · When the Stratocaster debuted in the 1950s, Fender used tiny frets that were often slathered in lacquer. ... Fender doesn't use stainless-steel ...<|separator|>
[77]
https://strandbergguitars.com/en-US/magazine/the-strandberg-experience
[78]
The Lighted Learning System – The Fretlight Guitar Store
The Fretlight neck has 132 surface mount super-bright LED's mounted on a super thin .031" circuit board. Each circuit board is tested for up to 20 hours.
[79]
MUSIC | Richlite
Made from recycled paper and pulp harvested from sustainably farmed trees, Richlite produces a hardened, durable material making Richlite fretboards to be ...
[80]
About Us - Warmoth
Since 1980, Warmoth has been the standard in American-made bodies and necks for electric guitars and basses.Missing: influence standardization cultural classical rock metal