The nearest colour mix to achieve Vermilion is a mix of Cadmium Red, Cadmium Red Deep and Titanium White. Cadmium Red is the closest match, so add very small amounts of Cadmium Red Deep and even smaller amounts of Titanium White. As with most things, colour mixing is a matter of experimentation and only you will find the mix that pleases you the most.
Vermilion is an opaque colour with an orange undertone. The Titanium White will ensure the opacity and the Cadmium red will give you the vibrancy. More.
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