Hints for Spelling Tritones: (Augmented Fourths and Diminished Fifths)

  
     The tritone refers to both augmented fourths and diminished fifths. These intervals both contain exactly 6 half steps, and therefore cut the octave exactly in half.
     If you remain on the white keys (no accidentals) then all the fourths and fifths are perfect except for the fourth from F up to B which is augmented, and the fifth from B up to F, which is diminished. Therefore, unless the interval involves both B and F, it is a perfect interval. 
     Look at the piano keyboard. Notice that the fifth from b to f is the only fifth that contains both natural half steps (b-c and e-f), and the fourth from f to b is the only fourth that doesn't contain any natural half steps. Those fifths with one half step and three whole steps (total of 7 half steps) are perfect fifths. Those with one half step and two whole steps (total of 5 half steps) are perfect fourths. Those that add up to 6 half steps are either augmented fourths (three whole steps) or diminished fifths (two whole steps and 2 half steps).
     Sharps move a note up, flats move it down. Always think in terms of moving towards or away from the other note. Moving the upper note up makes a larger interval, while moving the lower note up makes a smaller interval. Moving both notes in the same direction doesn't change the interval.
    The tritone will always occur naturally between the fourth and seventh scale degrees in any major key. In C major F is the fourth scale degree (subdominant), and B is the seventh scale degree (leading tone), therefore the tritone in C major is found as the augmented fourth from F to B, or the diminished fifth from B to F.