Tuning Cents Deviation Calculator
Computes pitch deviation in cents between two musical frequencies using 1200 * log2(measured / reference).
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Instrument tuning in cents: rule and example
To find how far a measured frequency sits from a reference, expressed in cents, use cents = 1200 · log₂(f_measured/f_ref). A semitone is exactly 100 cents, an octave is 1200. A well-trained ear catches deviations of 5-10 cents, while the average listener needs something closer to 10-15. Measure 441 Hz against the standard A4 = 440 Hz and you get about +3.93 cents, which means it sits a touch sharp of the reference. Tuners like the Korg TM-60 or Boss TU-3 usually show ±20 or ±50 cents on screen.
Applications
Guitarists lean on cents when setting bridge intonation, comparing the open string (say E2 at 82.41 Hz) against the 12th-fret harmonic. Violinists tune A4 = 440 Hz, though many European orchestras prefer 442 Hz. Piano technicians stretch the octaves following the Railsback curve, widening them 20-30 cents toward the extremes. Outside equal temperament, Arabic maqam relies on quarter-tones of roughly 50 cents, and Indian classical music divides the scale into 22 shrutis with intervals that don't land on neat 100-cent steps.
FAQ
Positive or negative cents? A positive number means you're sharp, above the reference. A negative one means you're flat, below it.
How many cents is "in tune"? On most instruments, landing within ±5 cents is excellent, and ±10-15 cents still passes when you're playing in a group.
Why use cents instead of Hz? Cents match how we actually hear pitch. 100 cents always sounds like a semitone, whereas 1 Hz is a huge gap at A2 and barely noticeable at A6.
Does temperature affect this? It does. Wind and string instruments climb about 5-10 cents as they warm up.
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The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.