If you think in terms of modes, then using a sharp 4 in major you can think of as lydian (the 4th mode of major) or lydian dominant (has a flat 7 too, the 4th m

If you think in terms of modes, then using a sharp 4 in major you can think of as lydian (the 4th mode of major) or lydian dominant (has a flat 7 too, the 4th mode of melodic minor). In minor, there's lydian minor (the 4th mode of harmonic major). Major but with a flat 7 is mixolydian (the fifth mode of major). It is everywhere in popular music. My favourite thing at the moment is major 7 sharp 5 chords (or an augmented triad with also a major 7th). These chords arise in harmonic and melodic minor (in both cases chord 3), and in harmonic major (chord 6). But they also sound great as substitutions for what is 'supposed' to be a major 7 chord.