This scale is #10 on the list of Allan Holdsworth's 10 Most Usable Scales.
Chords in the C Tcherepnin Scale
Major Triads: C, Eb, E, G, Ab, B
Minor Triads: Cm, Ebm, Em, Gm, Abm, Bm
Diminished Triads: Cdim, Edim, Abdim
Augmented Triads: C+, D+, Eb+, E+, Gb+, G+, Ab+, Bb+, B+
Flat-Five Triads: C(b5), D(b5), E(b5), Gb(b5), Ab(b5), Bb(b5)
Major Seventh Chords: Cmaj7, Ebmaj7, Emaj7, Gmaj7, Abmaj7, Bmaj7
Minor Seventh Chords: Cm7, Em7, Abm7
Dominant Seventh Chords: C7, E7, Ab7
Half-Diminished Chords: Cm7b5, Em7b5, Abm7b5
Minor-Major Seventh Chords: CmMaj7, EbmMaj7, EmMaj7, GmMaj7, AbmMaj7, BmMaj7
Augmented Major Seventh Chords: Cmaj7#5, Ebmaj7#5, Emaj7#5, Gmaj7#5, Abmaj7#5, Bmaj7#5
Major Seven Flat Five Chords: Cmaj7b5, Emaj7b5, Abmaj7b5
Augmented Dominant Seventh Chords: C7#5, E7#5, Ab7#5
Dominant Seventh Flat Five Chords: C7b5, D7b5, E7b5, Gb7b5, Ab7b5, Bb7b5