noun (n)

• the quality of appreciating method and system(noun.attribute)

  Synonym:
  methodicalness
  

  source: wordnet30
• a condition of regular or proper arrangement(noun.state)

  Synonym:
  order
  Antonym:
  disorder, disorderliness
  

  source: wordnet30
• The state or quality of being orderly.(noun)

  source: webster1913