Matespritship, the flushed quadrant ♥
Moirallegiance, the pale quadrant ♦
Auspisticism, the ashen quadrant ♣
Kismesissitude, the caliginous quadrant ♠
Matespritship and moirallegiance are part of the red romance (redrom) group, which means that they revolve around more positive emotions. Auspisticism and kismesissitude, on the other hand, belong to the black romance (blackrom) group, which means that they revolve around more negative emotions. Matespritship and kismesissitude are part of the concupiscent group, and revolve around more sensual emotions. Moirallegiance and auspisticism, on the other hand, are of the conciliatory group, and revolve around more platonic emotions.
Red Romance (Redrom)These types fall under the pity hemisphere of troll emotions, and are associated with the color red. They are tied to strongly positive emotions.
Matespritship/Flushed Quadrant
♥Spoiler
The one most like human love/romance. Matesprits have a strong feeling of affection for one another - though troll psychology being what it is, courtship can be just as violent as that between kismeses, and indeed it can flail between one and the other. It is one of the two concupiscent relationships, those that deal with reproduction, the other being kismesissitude. Matespritships's quadrant is known as the flushed quadrant.
Moirallegiance/Pale Quadrant
♦Spoiler
Moirallegiance is a process that occurs between a troll and their "moirail" (also informally known as a palemate). It is a form of guardianship, but it isn't simply about being platonic soul bros forever.
A troll is compelled by fate to watch over their moirail and keep them in line. Despite the platonic appearance of this role (as we currently understand it) to us humans, trolls consider it a type of romance. Moirallegiance may also entail pacifying one's partner if they would normally be dangerous to others or to themselves.
It is one of the two conciliatory relationships, the other being auspistice. As it is a redrom, it is linked to pity in the same way that black romance (blackrom) is linked to hate.
Black Romance (Blackrom)These types fall under the hate hemisphere, and are associated with the color black. They are tied to strongly negative emotions.
Auspisticism/Ashen Quadrant
♣Spoiler
An auspistice is a "facilitator" of some sort between two others, mediating interactions between them and keeping their relationship functional.
Auspisticized pairs have been shown to be potentially caliginous to some degree, as the emotions between two auspisticized trolls are similar to those of kismeses but are interfered with by the auspistice. Unlike the other quadrants, ashen feelings have only been shown and have suggested to be only felt by the auspistice and not the two parties in the mediated relationship.
If the mediator does a poor job or is uninterested in keeping the peace, the two might delve into more torrid emotions, as stated above. Without auspistices, widespread black infidelity is guaranteed. It is one of the two conciliatory relationships, those more platonic to humans, the other being moirallegiance.
Kismesissitude/Caliginous Quadrant
♠Spoiler
This is what a troll feels towards someone known as their kismesis. This is linked to hatred, and it is necessary that both parties feel hatred towards each other. Not any kind of hatred will do, since there is such a thing as platonic hatred amongst trolls (similar to the human concepts of hatred and platonic love).
In other words, kismesissitude seems to be based on a mix of hatred and sexual attraction. As it thrives on a rivalry between two trolls, defeating or killing your kismesis is discouraged, since obviously there wouldn't be a relationship anymore. It is one of the two concupiscent relationships, those that deal with reproduction, the other being matespritship, and it has been shown that like with matespritship kissing is considered an appropriate expression of kismesissitude.
One might say that the most appropriate human concept which is somewhat synonymous to kismesissitude would be "potent arch-rivalry".