Algorithm to randomly generate an aesthetically-pleasing color palette [closed]

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You could average the RGB values of random colors with those of a constant color:

(example in Java)

public Color generateRandomColor(Color mix) {
    Random random = new Random();
    int red = random.nextInt(256);
    int green = random.nextInt(256);
    int blue = random.nextInt(256);

    // mix the color
    if (mix != null) {
        red = (red + mix.getRed()) / 2;
        green = (green + mix.getGreen()) / 2;
        blue = (blue + mix.getBlue()) / 2;
    }

    Color color = new Color(red, green, blue);
    return color;
}

Mixing random colors with white (255, 255, 255) creates neutral pastels by increasing the lightness while keeping the hue of the original color. These randomly generated pastels usually go well together, especially in large numbers.

Here are some pastel colors generated using the above method:

First

You could also mix the random color with a constant pastel, which results in a tinted set of neutral colors. For example, using a light blue creates colors like these:

Second

Going further, you could add heuristics to your generator that take into account complementary colors or levels of shading, but it all depends on the impression you want to achieve with your random colors.

Some additional resources:

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