In my opinion, the KIT gene is an incredibly fun gene that causes many variations (alleles). Because there is a lot of variation, I will make the explanation as concise and clear as possible, because there is a lot to explain. On to the fun bit! KIT consists of multiple alleles that cause (white) patterns. As with any other gene, only 2 alleles on 1 locus are possible, allowing you to make some great combinations when the other coat patterns come into play, but.... which genes fall under KIT? See the list below:
Tobiano
Tobiano is a dominant allele of KIT. This allele is denoted by code "T". Tobiano can be double present without being noticed, because there is no difference in single tobiano or double tobiano genotypes. However, this allele on MH does have multiple types, just like Splash and Frame. But unlike Frame and Splash, Tobiano type 1 can be combined with type 2, causing type 1+2 (and giving you three different tobiano patterns to enjoy!).
Tobiano type 1: __/__/nT1 or __/__/T1T1
Tobiano type 2: __/__/nT2 or __/__/T2T2
Tobiano type 1+2: __/__/T1T2

Tobiano 1

Tobiano 2

Tobiano 1+2
Sabino
Sabino is an incomplete dominant allele of the KIT gene. This allele is referred to by code "Sb". Sabino shows minimally in RL (Sabino1) when 1x present, but when present twice, almost the entire horse can turn white. On MH, however, Sabino is distributed somewhat differently and thereby also divided into different types: Type 1 (Sb1), Type 2 (Sb2) and Type 1+2 (Sb1Sb2). The 2 types can overlap here too, making the white increase.
Sabino type 1: __/__/nSb1 or __/__/Sb1Sb1
Sabino type 2: __/__/nSb2 or __/__/Sb2Sb2
Sabino type 1+2: __/__/Sb1Sb2

Sabino 1

Sabino 2

Sabino 1+2
Note: As you can see, in the example, I have left everything blank except for the KIT genes, so it does not matter what base colour the horse is.
Further: see "Some interesting genotypes" for combinations with other white pattern types.
Dominant white
Another coat variant of KIT is the so-called Dominant White, denoted by code "Dw". Dominant White is a very sneaky factor on MH, given that it shows as the sabino 2 pattern when present 1x. So, it is always a question of whether the horse is sabino or Dominant White. When present twice, the Dw alleles cause the horse to be coloured all white or near white (depending on the breed). This is Dominant White type 2. Furthermore, this white pattern can occur on any coat colour, and completely white horses are also referred to by the colour they are underneath the white (as the white is considered a pattern).
Dominant white 1: __/__/nDw
Dominant white 2: __/__/DwDw

Dominant white 1

Dominant white 2
Note: There are also breeds on MH where Dominant White is "recessive". If the horse has 1x Dw, it will not show the Sabino 2 pattern, but nothing at all! Only if the horse has 2x Dw will the horse turn white. This happens, for example, in the Haflinger and the Icelandic horse.
Roan
Roan (Rn) is also a mutation on the KIT gene. Roan creates white hairs in the coat scattered over the body, but the head, legs, tail and mane remain untouched! Unlike grey, roan horses do not lighten as they age. This pattern shows on all colours and in combination with all other patterns. (Note that with KIT only 2 alleles can be present on 1 horse, so tobiano sabino roan for example is not possible, because that is 3 alleles instead of 2.) Roan is dominant and therefore already shows when 1x roan allele is present.
Roan: __/__/nRn or __/__/RnRn

Roan
Rabicano
Rabicano causes a slight mixture of white hairs, often visible around the flanks and tail root. In real life, as with BS and BoS, it is not yet known how this marking originated and how it is inherited.
Whether a horse has one or two copies of rabicano makes no difference to the display. In both cases, rabicano is shown. The tail is also affected, usually with a lighter or “ticked” base, also known as a “skunk tail” or “coon tail”.