Exmaples
Harmonic transition 5M7->1M
becomes chromatic as 5M7->7Dim7->1M
Similarly, the 4 bars blues harmonic transitions, of the 3 major chords of the diatonic, become chromatic as follows:
5M or 1M->4M becomes 5M or 1M->4bdim7->4M
5M or 4M->1M becomes 5M or 4M->7dim7->1M
1M or 4M -> 5M becomes 1M or 4M -> 5bdim7=1dim7-> 5M
so the rule is to resolve to XM, we pass through the Xbdim7.
Chromatic 5M->6m
becomes chromatic as 5M->6bdim7->6m
Melodic transition 5M-> 3m
Becomes chromatic as 5M->3bdim7->3m
Melodic transition 1M-> 3m
Becomes hromatic as 1M->1dim7=3bdim7->3m
Again the rule is :to resolve to XM, we pass through the Xbdim7.