The Cent Ledger

4:3 · 5 semitones

Perfect fourth. Nearly paid in full, the other way.

Pure
498.04¢
Tempered
500¢
Charge
+1.96¢
Beat
0.33 Hz

Lower note 220 Hz. Pure upper 293.33 Hz. Tempered upper 293.66 Hz.

The fourth is the fifth turned upside down, so its error is the same size with the opposite sign: the tempered fourth is slightly wide of 4:3 where the fifth is slightly narrow of 3:2.

The tempered fourth is 500 cents against 498.04 for 4:3, a charge of +1.96 cents, and the two beat about 0.3 times a second on this lower note, once every three seconds or so. The fifth carries the same 1.96-cent charge; only the octave costs less.

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