COMMA 32 805 32 768

We find a fifth approximation of the Just Intonation which generalizes Equal Temperament. The intervals causing a dilemma are the second and the minor seventh and the tritone because they are unambiguous in Jus t Intonation (the relative frequencies 10/9, 9/8, 8/7 and 7/4, 16/9, 1 8/10 and 45/32, 64/45, respectively). If we do not consider the second and seventh with the relative frequencies 8/7 and 7/4, respectively, all the music intervals in this approximation either coincide with he Just Intonation interval values (the octave, fifth, fourth, second (9/ 8) and the minor seventh (16/9)) or are exactly the one comma distant from the corresponding Just Intonation intervals. This comma is 32 805 /32 768 approximate to 1.00112915, which is less than the ratio of fre quencies of the perfect and the equal tempered fifths (approximate to 1.00112989).