To try to answer the question, applies to your other post too Joe.

Diminished chords bring tension.

Music is about tension and release.

Release tends to be strong beat major and minor chords.

In between there is space for tension, diminished chords can fit in here, preceding the resolving chord, often preceding by a diminished a half stelp below

The augmented fifth chord, is basically a dom 7th chord with an extra bit of color, a common place for one of these is the last chord of a twelve bar blues. Try a 12 bar with a 7th chord built on the fifth of the key, then an aug 7th, you will hear a bit of extra spice and yearning to get to the root chord on bar 1 of the second chorus.

Basically all these none standard chords bring tension, they heighten the tension.

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