Just Intonation Vs Equal Temperament
Calculator

Inputs

Just intonation ratio
1.25

Results

Just intonation ratio
1.25
Just intonation (cents)
386.313713
Equal temperament (cents)
400
Deviation (cents)
-13.686286

Music and audio results

Just intonation ratio1.25
Just intonation (cents)386.313713
Equal temperament (cents)400
Deviation (cents)-13.686286

formula-map diagram

Just intonation ratio
1.25
Just intonation (cents)
386.313713
Equal temperament (cents)
400
Deviation (cents)
-13.686286

Musical and acoustic relationship

Formula

cents = 1200 × log₂(p ÷ q)

= 1.25

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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