Fig. 1 · E to D#

interval

E major seventh

ElowerD♯upperM711 half steps

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

On the keyboard

ED#
Fig. 2

What is true of it

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

Turn it upside down — put the E 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 E

E → Fminor second · dissonanceE → F♯major second · dissonanceE → Gminor third · imperfect consonanceE → G♯major third · imperfect consonanceE → Aperfect fourth · perfect consonanceE → A♯augmented fourth · dissonanceE → B♭diminished fifth · dissonanceE → Bperfect fifth · perfect consonanceE → Cminor sixth · imperfect consonanceE → C♯major sixth · imperfect consonanceE → Dminor seventh · dissonance

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