The diminished chords and the augmented chords do not fit into any standard key signature. What is the best way to specify the notes? Initially, let's assume that the key signature is C major. For the diminished, which is better: C - E♭ - F# - A, C - E♭ - G♭ - A, C - E♭ - G♭ - B♭♭, something else? Similarly for the augmented chord: C - E - G# or what? How about, the same chords based on other notes? E.g. one semitone up, is it better to use C# or D♭?
Would it make a difference if the piece is not intended to be in any clear key and the C major signature was just for convenience or neutrality?