Here's the list of every tri-tone there is to play. There are only 6 unique tri-tones, then after that u get the reverse of each tri-tone:
C-Gb or C-F# or B#-F#
C#-G or Db-G or Db-Abb
D-Ab or D-G# or Ebb-Ab
D#-A or Eb-A or Eb-Bbb
E-Bb or E-A# or Fb-Bb
F-B or F-Cb or E#-B or Gbb-Cb
reverse:
Gb-C or F#-C or F#-B#
G-C# or G-Db or Abb-Db
Ab-D or G#-D or Ab-Ebb
A-D# or A-Eb or Bbb-Eb
Bb-E or A#-E or Bb-Fb
B-F or Cb-F or B-E# or Cb-Gbb
Tri-tones are naturally found in all diminished and dominant 7th category chords. So, you can start there for using them as substitutions:
Cdim or C diminished = C-Eb-Gb, the tri-tone is C-Gb/Gb-C
Cm7(b5) or C half-diminished = C-Eb-Gb-Bb, the tri-tone is C-Gb/Gb-C
Cdim7 or C fully diminished = C-Eb-Gb-Bbb, the tri-tones are C-Gb/Gb-C and Eb-Bbb/Bbb-E
*C7 or Cdom7 or C dominant 7th = C-E-G-Bb, the tri-tone is E-Bb/Bb-E *same for C9, C11, and C13
So, anytime you are playing one of those chords above and C is the root, u can play the tri-tone instead in the LH. Experiment with each to see how they sound for you.
I've also discovered they work well when u are playing secondary dominant chords that lead to 4 or 2 of the key you are in. They probably work wit other sec. doms., but I haven't experimented yet. Here's a little explanation using a C chord:
Sec. dom. leading to 4Key C LH/RH
normal:
C / G-C-E (C)
C / G-C-Bb-E (C7)
F / A-C-F (F)
tri-tone sub:
C / G-C-E (C)
*
E-Bb / G-C-E (C7/E)or
Bb-E / G-C-E (C7/Bb)F / A-C-F (F)
*The tri-tone being used here in the LH is E-Bb or Bb-E. It is replacing the note C. The scale degrees are 3 and b7 of C. Make note here that the scale degrees are unique to the chord itself, not the key you are in.
Sec. dom. leading to 2Key Eb LH/RH
normal:
C / G-C-Eb (Cm)
C / G-C-Bb-E (C7)
F / Ab-C-F (Fm)
tri-tone sub:
C / G-C-Eb (Cm)
*
G#-D / G-C-E [E7(#5/#9/G#]or
D-G# / G-C-E [E7(#5/#9/D]or
E-G#-D / G-C-E [E7 (#5/#9)]F / Ab-C-F (Fm)
*The tri-tone being used here in the LH is G#-D or D-G#. It is replacing the note E. The scale degrees here are 3 and b7 of E. You can also play it with the E on the bottom.
With those 2 examples, u can see a trend of the tri-tone subs. being the 3rd and b7 scale degrees of the chord. Liek I said, I'm not an expert on this yet, but this is just what I found by experimenting and listening to various CDs. Hope this helps someone!
A tritone consist of the 3rd scale degree and a minor 7th scale degree.
Not necessarily. A tri-tone can be built off any scale degree as long as the 2 notes being used form the interval of an augmented 4th or diminished 5th. Knowing what a tri-tone is is the easy part. Don't confuse what it is with it's application.