@Phil Smith, as Sean had said, a full diminished 7th chord is a different beast, but the function of that chord is no different than a regular diminished triad. Diminished chords typically resolve upward. So your example of a Cdim chord, also spelled C°, is just a half step away from Db major. Diminished chords, in general, can be looked at as rootless dominant 7th chords. For example, in the key of C, our dominant 7th chord is a G7 G B D F = G7 In the same key, the diminished chord is B° B D F = B° Looking at them side by side, the only difference between the two chords is one note. Our G note. G B D F = G7 _ B D F = B° This is why diminished chords can be looked at as a rootless dominant chords. If we take away the root of G7, we’re left with B° So just how G7 wants to resolve to a C major chord, so does B° So if we have a C° triad, you can look at it as a Rootless Ab7 chord. Ab C Eb Gb = Ab7 C Eb Gb = C° This is why you'll often find a guitarist in a full band with bass, piano, horns, etc., just playing a diminished chord in place of a full dominant 7 chord because the guitar will get lost in the mix with the other instruments. The bass player is playing a G note, and the pianist is playing a G7. We can play the top notes of that G7 by using B° so we can cut into the mix with the band; otherwise, we'd probably get washed out in the sound. Sometimes you might find in a guitar book or a full band score that a guitar chord is diminished but labeled as a dominant, because, as a whole, that's what the band is playing. But diminished chords are their own thing as well; they suggest movement. Because they create so much tension, your ear wants to hear the notes resolve in some way. You dont have to resolve it to the home chord, for example, in the key of C, our B° wants to resolve to C, but we can have it move to Am. There's a lot of applications it can be used for. Again, the main function of the chord is that it creates tension, and that in turn is movement. You can hang on to that chord and really build up on it. So when you do resolve it to a pretty chord, it's like the audience can forgive you for hanging on to such a tense-sounding chord.