> The key is F major.

Where is this coming from? It's pretty clearly G minor to me. The bass is playing G. The main phrase starts and ends on a G.

> This 1.334 is a ratio of adding 5 semitones in hertz. This should sound like this.

This harmonic overtone kills it for me. I know there are some overtones in the original, but not like this. 5 semi-tones is an interval of a perfect fourth. I think maybe a perfect fifth would work (7 semi-tones) but this overtone pretty much destroys it for me.