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Mayer’s triangle of colors

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Newton’s color wheel only shows the change in hue and saturation of each color, not the way the darkness of the colors changes. Eighteenth-century theorists expect to build color models that guarantee four criteria:

i) the model must classify all colors that can be created by a combination of primary colors, called primary colors,

ii) the model must have a geometric structure that indicates the positions of the colors, the correlations between them and the primary colors,

iii) standardize the names of colors,

iv) a color mixing formula to produce colors similar to those of natural or artificial objects.
The first comprehensive color order system was proposed by German mathematician and astronomer Tobias Mayer (1723 – 1762) in 1758. This color triangle is based on the artist’s three pure colors, red. the sa sa (cinnabar), the Golden Miên (gamboge) and the azurite blue (copper minerals), are located at the three peaks, and are filled with gradients between these 3 colors. Each side of the triangle has 12 gradients – the largest number of gradations that Mayer thinks the human eye can distinguish. Using Mayer’s color triangle, one can move from primary colors at three vertices to different colored cells and know exactly the red, yellow and blue ratios to mix the colors of each cell. Cells in the center of the triangle have the same red (R), yellow (Y), blue (B) ratios, denoted by r Mayy4b4 by Mayer. Mayer extended the triangle to three-dimensional space by adding black and white axes perpendicular to the triangle plane. Along this axis, lighter colors due to extra white are arranged in the triangles located on the upper layer compared to the base color triangle, the higher the elevation the lighter the color, while the darker colors added by the black are arranged in the triangles. located on the “underground” floor compared to the base color triangle, the deeper the floor the darker the color. Mayer’s entire color space has 819 colors.

Figure – Tobias Mayer’s dither (left) and dither (center) towers. Right: 1775 version according to Lichtenberg.

Although it is a great step forward compared to Le Blon’s model, Mayer’s color system has the following disadvantages: Any combination of three primary colors in Mayer’s system cannot produce all. colors; Mayer’s dither system could not be applied to both color and light despite his assertion; without a continuous gradient from black to white or lack of saturation axis thus difficult to interpret color conversion; The model is difficult to apply in practice because the actual pigments have different dyes so the ratio on the triangle of Mayer sometimes gives dirty gray.

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