Synonyms for Orderly (same or very similar meaning)
WordNet sense 1 (a male hospital attendant who has general duties that do not involve the medical treatment of patients):
hospital attendant
WordNet sense 2 (marked by good order and cleanliness in appearance or habits):
tidy
WordNet sense 3 (according to custom or rule or natural law):
lawful, rule-governed
WordNet sense 4 (in accordance with fixed order or procedure or principle):
regular
WordNet sense 5 (not haphazard):
systematic
WordNet sense 6 (not random):
nonrandom
WordNet sense 7 (marked by system or regularity or discipline):
ordered, regulated
WordNet sense 8 (methodical and efficient in arrangement or function):
organized
WordNet sense 9 (marked by an orderly, logical, and aesthetically consistent relation of parts):
coherent, consistent, logical
From the ODE community, based on WordNet
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