According to artist Vasily Kandinsky and his color theory, there is a connection between color and shape. He assigned three 2D geometric shapes to the RYB (red, yellow, blue) color model used at the time: triangle = yellow, square = red, circle = blue. I was inspired by his work and created a modern version of this color theory. Instead of the RYB color model, which may now be outdated, I used the physically more accurate and currently more widely used RGB (red, green, blue) color model. I replaced the square that Kandinsky used with a pentagon, because a square is more similar to a triangle than to a circle, while a pentagon seems to me a more suitable transition between a triangle and a circle.
To find a suitable shape (pentagon) between a triangle and a circle, I used the interior angles of the shapes. The interior angle of an equilateral triangle is 60° (or 60^1). The interior angle of a circle should be 180° (or 60^1.268324336648371). Yes, a circle has no sides and therefore cannot have interior angles, but for example, the interior angle of a thousand-sided polygon is 179.64°, and this shape visually resembles a circle very closely. If I take the average of these two exponents, 60^[(1+1.268324336648371):2], I get a result of 103.923°. This interior angle is most similar to that of a pentagon, whose interior angle is 108°. To expand this color theory, I used the same procedure to add transitions between the basic color shapes with the following relationships: square = yellow, octagon = cyan. I attempted to supplement this theory by assigning color shapes to pitch according to the relationship: acute angle + warm color = high pitch, obtuse angle + cool color = low pitch. I recorded this concept in a musical staff.
I attempted to expand this theory by assigning colored shapes to pitch according to the relationship: acute angle + warm color = high pitch, obtuse angle + cool color = low pitch. I recorded this concept on a musical staff.
The only color I couldn’t assign to any shape or pitch is purple. It should be similar to green (it is also something between blue and red and is both cool and warm at the same time). Should it look like a semicircle? Or like a rounded triangle? Or should it be identical to green—that is, also a pentagon? So far, I have not found an answer to this question.