Half-diminished seventh

Build this half-diminished seventh with C E♭ G♭ B♭. Its highest note sits 10 semitones above the root.

Arpeggiate the chord, then play its notes together. Zero marks the root. Numbers measure upward semitones from that root.

Example

Chord tones / semitones from the root · C E♭ G♭ B♭ / 0 3 6 10

Chord tones / semitones from the root

C E♭ G♭ B♭ 0 3 6 10

How do you retain the chord quality when moving the root?

Answer

Rebuild the distances from the new root. Then spell thirds, fifths and added notes according to their function.

Subject-expert review pending.