(This post has not been written completely yet)
Composers of melodies use to organize them with small melodic themes based on the numbers 1,2,3,4 et and then translate them in pitch within scales ,invert them in pitch, invert them in rhythm, expamd / contract and mutate them. Still some psychological characteristics are etracted only in ahidden simplicity ofthe melodic complexity which is based on the statistics of their duration and statistical persistence of some notes (centers of themelody) and statistical persistence of types of intervals (chromatic, melodic, harmonic). We enlarge on this with examples