Whenever you feel it's right to use them..
for instance, for many songs I would play a diminished chord (which contains a tritone within it...) before I do the 2-5 walk up.
for example, in Db:
F/ C-F-Ab [3/ 1M7 chord]
D/B-D-F-Ab [b2/ b7 dim chord]Eb/A-Db-Eb-Gb
F/A-Db-Eb-Ab
etc...
Tritones are also used alot as passing chords.
For instance, when you are moving from the 1 to the 2 (b2 is normally played with a diminished); 4 to the 5 (b5 = dim chord); 5 to the 6 or 6 to the 5 (#5 OR b6 = dim chord); 6 to the 7 (the b7 can also be played as a dim)
The reason the diminished chord is good to utilize in such instances is because of its inherent characteristics: It does not really belong to any specific key..hence the reason you won't sound off-key if you play it if you are playing notes that are not part of the major scale you are playing in!!!
if you break down the diminished chord, you will see that it is made up of 2 tritones..
lets look at the formula 1st:
1-b3-b5-6
in the key of C, that is :
C-
Eb-
Gb-
AThe 2 tritones are denoted by their colors..
Also note how each note is a whole step away from each note in the dim chord..
ok, lemme stop ther with that..
you could also use tritones very effectively in your preacher chords..
this will assist you in eliminating holding lots of notes simultaneously while the preacher is speaking (thereby you competing with him/ her instead of accompanying & helping him/ her to deliver the message)..
But this will require that you know you 1-3& b7 for all the notes..it's to your advantage if you know their inversions as well.
the way you would play these is either by playing the 1-3-b7 in your LH & then doing some runs inbetween here & there with your RH.
Alternatively, you can play the 1 note in your LH & play the 3-b7 or b7-3 in your RH..amzingly, this sounds full enough, yet not too loud/ crowded to compete with the preacher.
enough on that..
you could also play the tritones in your RH while you play the 7-3-6-2-5-1-4 progression in your LH or any other progression for that matter.
you can listen to the example from
HERE.