Music Performance
Compute fret positions for microtonal divisions of the octave.
Use for microtonal guitar or experimental instruments.
A microtonal fret position calculator is a specialized tool for musicians working with microtonal tuning systems that divide the octave into intervals smaller than the standard 12-tone equal temperament used in Western music. Microtonal music uses quarter-tones, sixth-tones, or other divisions to create pitches between the traditional semitones. This calculator computes precise fret positions for fretted instruments (guitar, sitar, oud, bouzouki) modified to play microtonal intervals. Musicians use this tool when building custom-fretted instruments, setting up adjustable frets, or marking positions for pitch-bending techniques. Understanding microtonal fret positioning is essential for exploring non-Western musical traditions and experimental contemporary music.
The calculator takes the root frequency, target pitch, string length, and fretboard specifications as inputs. It uses logarithmic calculations based on the equal temperament formula to determine precise fret positions. The formula relates frequency ratio to fret distance: fret position = (string length / ln(2)) × ln(frequency ratio). The tool outputs measurements in millimeters or inches from the nut, accounting for instrument-specific factors like compensation and action height. Some versions include visual fretboard diagrams.
Microtonal fret position uses logarithmic frequency scaling: Fret Position = Scale Length × (1 - 2^(-n/12)) where n = number of semitone intervals from open string. For microtones: divide 12 by the number of equal divisions (quartertones = 24, sixth-tones = 36), then apply the formula. Frequency ratio = 2^(cents/1200), where 1 octave = 1200 cents.
Microtones are musical intervals smaller than a semitone. Instead of 12 equal divisions per octave (standard Western tuning), microtonal systems might use 24 divisions (quartertones), 36 (sixth-tones), or other numbers. Musicians use microtonality to access sounds from non-Western traditions (Arabic music, Indian classical music) and to create new timbral possibilities in contemporary composition.
Some instruments naturally accommodate microtonality: voice, trombone, violin, flute. Fretted instruments (guitar, mandolin) require modification - either fret repositioning, adding extra frets, or using string bending techniques. Non-fretted fretless instruments are most flexible for microtonal exploration.
Options include: installing 24 frets per octave instead of 12 (requires custom fretboard), adding micro-frets between standard frets, using extended neck with additional fret slots, or using sympathetic strings and precise bending techniques. The choice depends on musical style and how permanently you want the modifications.
Fret position is logarithmically related to frequency. Each fret roughly doubles the frequency ratio - the 12th fret plays a note one octave higher than the open string. Moving a fret position by a few millimeters changes pitch by several cents. Precision is critical: a 1mm error can shift pitch by 10+ cents, causing noticeable intonation problems.
