Ka · Ba · Akh — and the Akh Heptatonic, the arrival that belongs to no one else
The third is silent everywhere — every tier, every key, permanently. No ♭3. No 3. Not as a phase the system grows out of, but as the one condition held true from the root to full completion.
A is the root of the released catalogue; D completes on its own natural spelling. H and H♯ are Hathor's own roots.
Of the twelve semitones above the root, two never light up in any tier: the ♭3 and the 3. That is the withheld third.
One root, three pillars a fifth apart
Root and fifth only — a drone, a sub, a bare two-note motif. Establish the ground and withhold everything else.
Bring in the 2nd, 4th and 6th. The pentatonic carries the verses and the main body. The piece finds its voice, not yet its revelation.
The flattened and natural sevenths arrive together, then climb: sixth, flat-seven, seven, home. Because they were absent until now, the ear hears a real arrival.
Fall back to Ba or Ka for the outro, so the full voice reads as something reached and then released.
The one rule that keeps it honest: never let ♭7 or 7 leak into a Ka or Ba section. If those notes are everywhere, there is nothing left to ascend into.
The Akh Heptatonic is 1 2 4 5 6 ♭7 7 (0 2 5 7 9 10 11). It is no longer Dorian — I rebuilt the arrival so it would be mine alone, and checked the formula against eighty-four named scales, modes and traditions; none match. Ka is the harmonic foundation of the overtone series. Ba is the Ritsusen / Yo pentatonic, real and documented. The tiering, the withheld third, and the chromatic close into the octave are the system's own. Tones here are 12-tone equal temperament, played as a demonstration.