7-31, (0235689), Diminished-7
   
Interval-content vector <336333>
Distance (12/7)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 7 note chord, in semitones

Ancohemitonic chromatic-cluser-free
Hemitonic set contains one or more semitones
Self-M-Related the M-relation (replace semitone intervals with perfect fourths) maps this set to itself
Tritonic set contains one or more tritones