Published July 17, 2026 | Version 45

CHORD PAINTING

Authors/Creators

Description

Chord Space is generated by the intrinsic geometric semantics of chords. Its typical empirical form is chord painting (chromatic painting), and its core characteristic is the membrane–string structure.

和弦 | 属性

Chords | Attributes

内禀几何语义

Intrinsic geometric semantics

数学结构

Mathematical structure

适用系统

Supported Systems

大三和弦

Major triad

闭弦/轮廓线

Closed string/outline

(-7,-4,0) mod12

七声音阶,爵士

Hetpachord,jazz

小三和弦

minor triad

开弦/开放-分面线

Open string / Open - Faceted line

(-7,-3,0) mod12

七声音阶,爵士

Hetpachord,jazz

减七和弦

Diminished 7th chord

/非线空间

Membrane/Nonlinear Space

(0,3,6,9) mod12

七声音阶

Hetpachord

全音阶和弦

Diatonic chord

/非线空间

Membrane/Nonlinear Space

(0,2,4,6,8,10) mod12

爵士

Jazz

半音阶和弦

Chromatic chords

/非线空间

Membrane/Nonlinear Space

(0,1,2,3,4,5,n ) mod12

无调性解决

Atonal solution

音符;Notes

; Point

(x)mod12

任何;Any

Chord Intrinsic Spatial Semantics Tabl

Chord Geometry Framework: Triads (open strings, closed strings) define the boundaries of symmetric chords (membranes): the major triad (closed string) generates contour lines, producing closed surfaces; the minor triad generates open/faceted lines; together, the major and minor triads constitute a "body," from which chord space is generated. All chords can be decomposed into notes: points.

When geometry/space transitions from chordal states (n mod 12,P±) to non-chordal states (x, y, z), its discrete characteristics disappear, manifesting as the classical: point, line, surface, and solid.

Chord Geometry (space) is based on color painting as the observational foundation, employs first-person visual experiments as the research method, and uses experimental illustrations as the experimental report.

 

Li, X. H. (2020). Chord Painting. ResearchGate. 

https://www.researchgate.net/publication/340492620_Chord_Painting

Li, X. H. (2024). Chord Language. Zenodo.

https://zenodo.org/records/11817631

Li, X. H. (2020). Chord Painting. ResearchGate.

https://www.researchgate.net/publication/340492620_Chord_Painting

Li, X. H. (2024). Chord Language. Zenodo.

https://zenodo.org/records/11817631

 

 
 

 

 

 
 

 

 

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Additional details

Dates

Copyrighted
2016-10-17