Fig. 1 · A# to E

interval

A♯ diminished fifth

A♯lowerEupperd56 half steps

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

On the keyboard

EA#
Fig. 2

What is true of it

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

Turn it upside down — put the A♯ 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: A♯ to D𝄪 is a fourth, A♯ to E is a fifth. They sound the same and behave differently.

Every interval on A♯

A♯ → Bminor second · dissonanceA♯ → B♯major second · dissonanceA♯ → C♯minor third · imperfect consonanceA♯ → C𝄪major third · imperfect consonanceA♯ → D♯perfect fourth · perfect consonanceA♯ → D𝄪augmented fourth · dissonanceA♯ → E♯perfect fifth · perfect consonanceA♯ → F♯minor sixth · imperfect consonanceA♯ → F𝄪major sixth · imperfect consonanceA♯ → G♯minor seventh · dissonanceA♯ → G𝄪major seventh · dissonance

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