(WIP, draft version)
Introduction
Literature Review
1. General
1.1 Basic Concept of Sound
1.2 Basic Concept of Color
1.3 Conclusion
1.4 Comparison
2. Harmony
2.1 Harmony
2.2 Major Chords
2.3 Chords Extension
3. Case Study
3.1 Case Study3.2 Application
Reference
What if it extends to chords with more than three?
All sequences of 3 chords
When it adds an extra corner, it adds more possibilities.
some sequences of 4 chords
Here, it takes examples to study further.
standard 3 chords
rectangle in 4 chords
Take the equilateral triangle and rectangle as an example for comparative study, also, with different areas, from small to large.
equilateral triangle and rectangles from small to large
quadrilateral from small to large
We use a gradient as a color flow for the notes visualization. Because, from the chapter Basic Concept of Sound, a note is an abstract symbol for a pitch, and a pitch depends on the fundamental. Ideally, it should be a single fundamental we hear; however, in reality, except for the fundamental, there are certain partials overlapping, and the fundamental and partials, with their own different amplitudes, overlap together at the same time — that’s a tone we hear.
Therefore, the gradient should be vertical when it is played at the same time, whereas horizontal when it is played through time.
From the color flow, we can see that the smaller the area is, the closer the color flow is.
equal triangles and rectangles from small to large
quadrilateral from small to large