Fig. 1 · F# to C

interval

F♯ diminished fifth

F♯lowerCupperd56 half steps

A perfect fifth narrowed by a half step. The interval inside every diminished triad.

On the keyboard

CF#
Fig. 2

What is true of it

F♯ up a diminished fifth is C: 6 half steps, and 5 letters counting both ends.

Turn it upside down — put the F♯ on top — and it becomes a augmented fourth. The two numbers always add to nine, and the two sizes to twelve.

It is a dissonance.

Six half steps can be written two ways: F♯ to B♯ is a fourth, F♯ to C is a fifth. They sound the same and behave differently.

Every interval on F♯

F♯ → Gminor second · dissonanceF♯ → G♯major second · dissonanceF♯ → Aminor third · imperfect consonanceF♯ → A♯major third · imperfect consonanceF♯ → Bperfect fourth · perfect consonanceF♯ → B♯augmented fourth · dissonanceF♯ → C♯perfect fifth · perfect consonanceF♯ → Dminor sixth · imperfect consonanceF♯ → D♯major sixth · imperfect consonanceF♯ → Eminor seventh · dissonanceF♯ → E♯major seventh · dissonance

C d5C♯ d5D♭ d5D d5D♯ d5E♭ d5E d5F d5all 204