That helps slightly, and this version is often favored by libertarians, but I prefer the “8 values” or 8 dimension test that also looks at diplomatic, technological, and religious dimensions. I think I’ve also seen a 9 dimension version.

A multifactor values-based approach better maps niche positions and explains why there are often irreconcilable disagreements among large blocs that are otherwise compatible. For instance, there will always be recurring tensions between progressives and leftcoms despite their neighboring positions on the 4-quadrant political compass. And right-wing secular monarchists don’t really get along with theocrats either.