Beats from diatonic vs chromatic semitones

hello harmonic entropy list. Reading Helmholtz, and reviewing where
the semitone clashes occur in the partials of various intervals, does
anyone know if the dissonance is affected by whether the beating
semitone is diatonic (example, e-f, as the 5th and 4th partials of a
perfect 4th) or chromatic (eg, B flat - B natural, as the 7th and 5th
partial of the perfect fifth.) Or maybe its' a moot point,
overshadowed, instead, by which semitone clash is composed of lower
pitch numbers? thanks, Kelly