If 1,1#, 2, 2# ,......7, 1 is the full 12-notes chromatic scale based on a 7-notes diatonic scale, and
a1, a3 , a5 , a7 is the first chord C1 while
b1, b3, b5, b7 is the 2nd chord C2
The transitional chromatic arpeggio is a choice of notes some from the first line and some of the 2nd line of the
C1: A1, a2,A3 , a4, A5 ,a6, A7
C2: B1, b2, B3, b4, B5, b6, B7
capitals are inside the chords small outside the chords.
Such a pattern applies by substituting different chords transitions C1->C2.