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Free Music Theory Tool · Dixboro Music Academy

Tuning Systems Explorer

Why does a piano sound slightly different from a choir singing in perfect harmony? For centuries, musicians have chosen between different ways of tuning the 12 notes. Hear equal temperament, just intonation, Pythagorean, meantone, and more, side by side.

Step 1

Choose a Tuning System

Strengths
Trade-offs
Step 2

Play the Keyboard

Tap keys to hear single notes in the chosen tuning. Tap two keys quickly to hear them together. The small number on each key shows how far it sits from equal temperament, in cents (1/100 of a half step).

Step 3

Chord Lab: Hear the Difference

Listen for a slow “wah-wah” pulsing in the sustained sound. Those are beats : the faster they are, the further the interval is from pure.

Interval Size Pure Off by Beats/sec
Step 4

Where the Compromise Hides

Pure Close (under 3¢) Tempered Wolf

The 12 Fifths

A pure fifth (3:2) is 702 cents. Stacking twelve pure fifths overshoots seven octaves by about a quarter of a half step (the Pythagorean comma , 23.5 cents). Every tuning system has to hide that extra bit somewhere. Tap a fifth on the circle to hear it.

How Far Each Note Is From Equal Temperament

Try This

Things to Listen For

The sweetest third

Play a C major chord in Just Intonation, then in Equal Temperament. Notice how the just chord sounds calm and still, while equal temperament shimmers.

Meet the wolf

Choose Quarter-Comma Meantone and play the fifth from A♭ (G♯). That howl is the “wolf,” where the tuning’s compromise all lands in one place.

Every key has a color

In Werckmeister III, play C major and then F♯ major. Both are usable, but they don’t sound the same. Composers once chose keys partly for their color.

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