I have an assignment for a composition class in which I have to compose a tonal piece with no tonal centre (in the context of Dmtri Tymoczko's theory and what he underlines as the 5 principles of tonality).
My approach to doing that was trying to compose something that, to my ear, would lead to an ambiguity about where the piece would "want" to resolve.
I really don't have much foundation on harmony, so I showed it to a friend of mine more acquainted to it and, in his analysis, he told me this part kind of gravitates towards F minor.
My question is: what strategies could I explore and what could I do differently from what I have done so to achieve something closer to a true lack of tonal centre while still being tonal?
Here's the audio clip of the part I have composed and, here below, its sheet music.