CHORD PAINTING

The chord spectrum generates music (time domain) and painting (space domain), respectively, which constitute a quantized space-time structure, and its frequency-dimension relationship is: nf, H^nf, H=1.059463, n∈Z. The mapping in the chord system can be expressed by the set {-7,-4,0} ↔ {0,4,7} mod 12, which is mirror-symmetrical and mathematically transformable.

Chord painting (spatial domain) is expressed by strings (open strings, closed strings, membranous strings), and painting is its field of observation and application, which is the main content of this book.

"String" is the geometric semantics of "chord", and "chord" is the characteristic spectrum of "string". Different chord types correspond to different geometric semantics:

Major triad (−7,−4,0)mod 12 ↔ closed string (contour line)

Minor triad (−7,−3,0)mod 12 ↔ open string (Facet line)

Geometric chords: diminished seventh chord (0,3,6,9) mod 12, diatonic chord (0,2,4,6,8,10)mod 12, augmented triad (0,4,8) mod 12 ↔ membrane chord (nonlinear space)

These three chord types together constitute a spatial field, defining all possible spatial states and their interactions.

Open strings, closed strings, and membrane strings can be observed in chord painting, which is a spatial model based on observation and experiment.