The Cool-Warm Contrast

In the chapter about associations we can find out, which colors are perceived as rather warm and which colors are rather cool. Red, orange and brown (modulations of the orange-red area), yellow and gold have a warm color bias; blue, white, gray and silver have a cool color bias. Roman Liedl states that the warmest color lies between orange and red, and that the coolest color can be found between cyan and turquoise:

Warm color families

Cool color families

The cool-warm contrast can be achieved by juxtaposing a cooler or a warmer color to the initial color. This is to say that it does not only work with a warm color juxtaposed to a cool color. Blue and cyan also represent a cool-warm contrast, though it is not as strong as red/turquoise. But after all, it is a cool-warm contrast.
It follows that an angular harmony is automatically accompanied by a cool-warm contrast; but there is one exception: yellow-lime and violet-lilac. This combination is exactly in between the cool and warm colors and consequently does not reveal a cool-warm contrast.
The cool-warm contrast is therefore not very important in practice and will be left out when it comes to determining harmony contrasts.