With the Cardinal-sign rulers in place and locating the tropical Sign-boundaries, there are 8 Fixed and Mutables to account for, using some sort of pattern. Since one Fixed-sign ruler is already a product of the Heliocentric cypher, it can be used to check the validity of the chosen pattern.
I chose rate of motion, in accordance with Modality: Fixed inclined to remain in place, Mutable inclined to change position; and, Elements, with Fixed, solid-Earth Taurus requiring by far the slowest ruler, and Mutable-Fire Sagittarius requiring by far the fastest. Virgo, although an Earth-sign like Taurus, is not a Sign of solidity--rather, the equivalent of a materialistic, "heavy-vapor" Sign for purposes of this pattern.
Slower to faster using States of Matter as a metaphor:
Solid (only Taurus)
Liquid (Scorpio + Pisces)
Vapor (Aquarius, Virgo & Gemini)
Plasma (Leo + Sagittarius)
These are first separated according to Modality, and placed in order and the Fixed-Sign coefficient of movement starts with Taurus at a coefficient of #1, Scorpio #2, Aquarius #3, and Leo #4.
The Mutable-sign coefficient starts at Pisces #1, then Virgo, #1.5, and Gemini #3. Virgo, as equivalent to heavy vapor, is higher coefficient than liquid but lower than regular vapor, Gemini.
Letting the Fixed-signs remain at their original coefficients, and initially increasing the coefficient of each Mutable just enough to move it past its Fixed counterpart: Fixed-solid Taurus remains at coefficient #1, with no Mutable counterpart; Fixed-liquid Scorpio remains at #2, so its liquid counterpart, Pisces, using the minimum increase of half a unit, changes to #2.5; Virgo moves a full unit, to 3.5, to move past Aquarius, which stays at #3; and regular-vapor Gemini moves past heavy-vapor Virgo, and ends with a coefficient of #4. Now there's an additional pattern as to how Mutability affected the coefficient, from +.5 to +1 to + 1.5, so the coefficient of Sagittarius increases by a factor of 2, leaving it at #6, by far the highest.