Fig. 1 · A to G#

interval

A major seventh

AlowerG♯upperM711 half steps

Eleven half steps: a half step short of the octave, which is why it leans on it.

On the keyboard

AG#
Fig. 2

What is true of it

A up a major seventh is G♯: 11 half steps, and 7 letters counting both ends.

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

It is a dissonance.

Every interval on A

A → B♭minor second · dissonanceA → Bmajor second · dissonanceA → Cminor third · imperfect consonanceA → C♯major third · imperfect consonanceA → Dperfect fourth · perfect consonanceA → D♯augmented fourth · dissonanceA → E♭diminished fifth · dissonanceA → Eperfect fifth · perfect consonanceA → Fminor sixth · imperfect consonanceA → F♯major sixth · imperfect consonanceA → Gminor seventh · dissonance

C M7C♯ M7D♭ M7D M7D♯ M7E♭ M7E M7F M7all 204