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 Just Intonation
(the relative  frequencies 10/9, 9/8, 8/7 and  7/4, 16/9,
18/10 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 $\approx$ 1.00112915, which is
less than the ratio of frequencies of the perfect and the
equal tempered fifths ($\approx$~ 1.00112989 ).
