6-Z4, (012456)
   
Interval-content vector <432321>
Distance (60/6)*

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

Cohemitonic chromatic-cluster-containing
Hemitonic set contains one or more semitones
Symmetric the inverse of this set is the same set
Tritonic set contains one or more tritones