Fig. 1 · D# to C##

interval

D♯ major seventh

D♯lowerC𝄪upperM711 half steps

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

On the keyboard

C𝄪D#
Fig. 2

What is true of it

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

Turn it upside down — put the D♯ 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 D♯

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

C M7C♯ M7D♭ M7D M7E M7F M7F♯ M7G♭ M7all 204