from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. The state or attribute of obeying the rules of grammar; grammatical correctness.
from The Century Dictionary and Cyclopedia
- n. The quality or state of being grammatical, or according to the rules of grammar.
Sorry, no etymologies found.
This suggests that the notion of level of grammaticalness is not to be considered in determining an abstract underlying order.