Here via rydra_wong and just wanted to give some drive-by love to this post. ♥ I especially love your description of the group marriage - yes, YES, all of the subrelationships within the group have their own dynamics and this is what makes it awesome - and your description of the Homestuck troll quadrants. Thank you, by the way, for pointing out that Moirallegiance is supposed to remain nonsexual, as this is a fairly big plot point in the canon (i.e. as evidenced by a couple of trolls in particular frustrated about getting stuck "in the moiral zone" with sometroll they have flushed feelings for) but somewhat ignored by the fanon.
One thing I do have to disagree with is the description of Auspisticeship, which - as sqbr pointed out - it not a relationship between two trolls, but rather a relationship between a troll and two other people in a specific relationship. I.E. in the comic it's very clearly described that a troll auspices a particular relationship, not necessarily all of the relationships for another troll. Which is why Eridan said that Kanaya should be "our" auspice (referring to himself and Vriska) instead of saying that she should auspice him or auspice Vriska. The other notable thing about Auspisticeship is that it seems to be the only quadrant where poly is acceptable - since we see the trolls mention more than once that somebody can be an auspice to more than one relationship.
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One thing I do have to disagree with is the description of Auspisticeship, which - as sqbr pointed out - it not a relationship between two trolls, but rather a relationship between a troll and two other people in a specific relationship. I.E. in the comic it's very clearly described that a troll auspices a particular relationship, not necessarily all of the relationships for another troll. Which is why Eridan said that Kanaya should be "our" auspice (referring to himself and Vriska) instead of saying that she should auspice him or auspice Vriska. The other notable thing about Auspisticeship is that it seems to be the only quadrant where poly is acceptable - since we see the trolls mention more than once that somebody can be an auspice to more than one relationship.