The Diffused Fifth, Diminished Third

There are no more perfect intervals in music, just these tree of free intervals. So how many diminished intervals are there in music? Four, three. We have a perfect fifth between the first two overtones,. The perfect fourth between the second and third overtones. If i play this s and then this sea an octave higher, we have an octave. But if i played this g and then the following c, i now have a perfect fourth. That might seem like a small detail, but of course, there are only three perfect intervals in Music.