I just started my journey of music, and I am wondering if the possible choices for chord sequence can be many given a progression, according to music theory.
I am worried about using the wrong or misleading terms here. To be more specific, given the popular progression 1-4-5, can we find many different chord sequences (also consider inversion and not necessary triad) which are correct and reasonable in key of C? E.g. C-F-G, C-Fm-Gm and C/E-Fm-Gm all sound good IMO, so I am curious if there are something related to music theory.
I am considering a particular scenario where one figures out chord sequences without any melody provided, which means there is no constraint for chord sequences imposed by melody. The only limitation is the given 1-4-5 (or any other like 1-2-5, 1-2-7, 6-4-5, etc.) in one key.
note: I avoid using I-IV-V because it refers to the specific Cmaj-Fmaj-Gmaj in key of C. On the other hand, 1-4-5, though informal, makes generality because it only fixes the roots but not chord types (triad, seventh, major, or minor, etc.). Sorry I am just a beginner, lots of misleading terms here.