Bach chorale · fourfold slice

Law

Pachelbel delays one line. Bach stacks four. Each beat occupies four of seven spheres. Leading tone (C♯) is a phase on Voluntas, not a new identity. Seventh resolves down (RZ−). Leading tone resolves up (RZ+). Parallel fifths = forbidden CZ pair {S,B} when interval is a fifth.

Circuit · one phrase (i – iv – V – i)

DECLARE ro BIT[11]
# SYMPH-BACH-SATB · CHARLIE-021 · D minus chorale phrase
# Beat 1 tonic i  (S=D q0, A=F q2, T=A q4, B=D q0 via CX)
RY(1.047) 0
CX 0 7
CX 2 8
CX 4 9
CX 0 10
# Beat 2 iv
CX 3 10
CZ 7 8
CZ 8 9
# Beat 3 V  (Voluntas raised: C# as RZ on q4, not a new sphere)
RZ(1.941611038725) 4
X 4
CX 4 9
# Beat 4 authentic i  — Picardy held
CX 4 0
RZ(-1.941611038725) 4
MEASURE 0 ro[0]
MEASURE 2 ro[1]
MEASURE 3 ro[2]
MEASURE 4 ro[3]
MEASURE 7 ro[4]
MEASURE 8 ro[5]
MEASURE 9 ro[6]
MEASURE 10 ro[7]