Diminished & Augmented 5th

♭5 and #5 — the color tones

Prove it — just do the practice exercise.
C → Gb 6 semitones
C (root) Gb (♭5)
Diminished 5th (♭5) = 6 semitones
→ Same as the tritone! Found in m7♭5 (half-diminished).

Augmented 5th (#5) = 8 semitones
→ Floating sound. Found in augmented triads.

Example:
C → Gb = diminished 5th
C → G# = augmented 5th

These intervals create color and tension.