Cents Deviation From Reference
Calculator

Inputs

Cents deviation
5.891896

Results

Cents deviation
5.891896
Frequency ratio
1.003409
In tune within 5 cents (1 = yes, 0 = no)
0

Music and audio results

Cents deviation5.891896
Frequency ratio1.003409
In tune within 5 cents (1 = yes, 0 = no)0

formula-map diagram

Cents deviation
5.891896
Frequency ratio
1.003409
In tune within 5 cents (1 = yes, 0 = no)
0

Musical and acoustic relationship

Formula

cents = 1200 × log₂(f ÷ f_ref)

= 5.8918969485677

Note

This result is a simplified model: it applies the displayed standard formula to the values you entered, assuming twelve-tone equal temperament, a speed of sound of 343 m/s in dry air at 20 °C, an ideal free field with no reflections or air absorption, purely resistive speaker loads and Sabine's diffuse-field assumption. Real rooms, instruments, codecs and amplifiers depart from these idealisations, so measure with proper instruments for critical work.

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