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Synonyms for Fixed (same or very similar meaning)

WordNet sense 1 ((of taxes) not increasing as the amount taxed increases):
flat

WordNet sense 2 ((of taxes) adjusted so that the rate decreases as the amount of income increases):
regressive

WordNet sense 3 (fixed and unmoving):
rigid, set

WordNet sense 4 (not in motion):
nonmoving, unmoving

WordNet sense 5 (not capable of being moved):
stationary

WordNet sense 6 (securely fixed in place):
fast, firm, immobile

WordNet sense 7 (incapable of being changed or moved or undone; e.g.):
frozen

WordNet sense 8 (not changeable or subject to change):
unchangeable


From the ODE community, based on WordNetadd/edit