Published October 17, 2016
| Version 25
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CHORD PAINTING
Authors/Creators
Description
The chord language generates music (time domain) and painting (space domain), which constitute a quantized space-time structure, whose frequence-dimension relation is: nf, H^nf, H=1.059463, n∈Z. The mapping between music and painting on the triad can be expressed by the set {−7,−4,0,4,7} mod 12, which is mirror symmetric and interchangeable.
The chord space is expressed by strings (open, closed, membrane), and painting is its field of observation and application, which is the main content of this book.
"String" is the spatial semantics of "chord", and "chord" is the characteristic spectrum of "string". Different chord types correspond to different spatial semantics:
Major triad (−7,−4,0)mod 12 ↔ closed string (contour line)
Minor triad (−7,−3,0)mod 12 ↔ open string (facet line)
Geometric progression chords:
Minor third distribution (0,3,6,9) mod 12
Whole tone distribution (0,2,4,6,8,10)mod 12
Three whole tone distribution (0,4,8)mod 12
↔ membrane string (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.
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chordpainting-25.pdf
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Additional details
Dates
- Copyrighted
-
2016-10-17
Software
- Repository URL
- https://www.researchgate.net/profile/Xiaohong-Li-17