Fig. 1 · A# to E#

interval

A♯ perfect fifth

A♯lowerE♯upperP57 half steps

Seven half steps. Stack twelve of them and you land back where you started, give or take a comma.

On the keyboard

E♯A#
Fig. 2

What is true of it

A♯ up a perfect fifth is E♯: 7 half steps, and 5 letters counting both ends.

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

It is a perfect consonance.

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♯ → Ediminished fifth · dissonanceA♯ → F♯minor sixth · imperfect consonanceA♯ → F𝄪major sixth · imperfect consonanceA♯ → G♯minor seventh · dissonanceA♯ → G𝄪major seventh · dissonance

C P5C♯ P5D♭ P5D P5D♯ P5E♭ P5E P5F P5all 204