6-Z13, (013467): Diminished-6
   
Interval-content vector <324222>
Distance (33/6)*

the minimum Euclidean distance from this set to any transposition of the perfectly even 6 note chord, in semitones

Ancohemitonic chromatic-cluser-free
Hemitonic set contains one or more semitones
Symmetric the inverse of this set is the same set
Tritonic set contains one or more tritones