Major triad + 9, no 7 — the colour-without-function chord, twelve keys
The mu chord is a major triad with the 9 added but
no 7. C mu = C E G D. The crucial detail: no 7th.
Adding a maj7 would make it a maj9 (with a tonal-I quality);
adding a ♭7 would make it a dom9 (a V-going-to-I quality). The
mu chord keeps the 9 colour without committing to either
function. It just rings.
The voicing here: LH plays the root, RH plays a triad of
9-3-5 (close-position major triad starting on the 9). For Cmu:
LH C, RH D-E-G. The 9 (D) at the bottom of the RH cluster is
the chord's defining sonority — neither a chord tone (it's an
extension) nor a leading tone (it doesn't pull anywhere).
LH
Root.
RH
9 + 3 + 5 (close-position triad starting on the 9).
01
Cmu add9, no 7
02
Fmu add9, no 7
03
B♭mu add9, no 7
04
E♭mu add9, no 7
05
A♭mu add9, no 7
06
D♭mu add9, no 7
07
F♯mu add9, no 7
08
Bmu add9, no 7
09
Emu add9, no 7
10
Amu add9, no 7
11
Dmu add9, no 7
12
Gmu add9, no 7
Major triad + 9 + nothing else. Three notes plus a root. The chord that defined the Steely Dan sound and seeped into half of 1980s smooth jazz.