List of harmonics in order of distance from twelve-tone equal temperament

I'm writing a piece for the wonderful trio Terra Invisus. The piece contains two difference tone chorales, where the ensemble plays complex chords based on the harmonic series. The piano, of course, is limited in how it can interact with this. I wondered if there were any good harmonics I was missing that sit near to 12TET, and wanted a list organised by closeness. I couldn't find one online with a cursory search, so I made my own (with octave duplications removed)! Who knew that the 57th harmonic was so close to the minor tenth, huh? Here it is, if it's useful to you: