The 'Red' gene in Minis
People call them Sorrels or Chestnuts, I call them red. The genetic phenotype is the same - ee - as in it turns off black.
(Black horses can be EE - homozygous black or Ee - hetrozygous black capable of passing the red genetic small e).
Red can be modified by all other sorts of genes resulting in the varied shading, mane/tail colors, etc.