Excellent answer from Angst! 

On an harmonic perspective, the piece inquired about is also far from typical renaissance music, which tends to be somewhat static or obey to basic tonal progressions.

The piece inquired about uses a descending progression sometimes called Andaluzian progression for its reminiscence of flamenco music. There are a few notable examples of the Andalusian progression in music from the renaissance, but they are isolated cases, not typical of the music of the era.

On the contrary, in modern times this type of progression has been used (battered, I should say) in many many pieces and that's exemplified in this video:

https://www.youtube.com/watch?v=Y0izB-ZhuWQ

One of my favourite examples of the usage of this same progression is from Rick Wakeman's 1973 album the Six Wifes of Henry VIII, in the beginning of this track: 

https://youtu.be/UjjYT90yFxE?t=1777

Funny, the subject of this album is also about a renaissance character, but unless the composer of Assassins Creed was inspired by the album, that's just a coincidence.