7-Z12, (0123479)
   
Interval-content vector <444342>
Distance (36/7)*

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

Cohemitonic chromatic-cluster-containing
Hemitonic set contains one or more semitones
Self-M-Related the M-relation (replace semitone intervals with perfect fourths) maps this set to itself
Symmetric the inverse of this set is the same set
Tritonic set contains one or more tritones