I use Bebop, the 4th hole blow is retuned from C to Bb.
There is also Paddy Solo, that note is retuned to A.
Power Chromatic has the A note on blow 4, but also retunes draw 5 to F#.
None of these have adjacent notes (the way Solo does on holes 4 and 5).
And of course, diminished and augmented have no duplicate adjacent notes.