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From: Webster's Revised Unabridged Dictionary (1913)

 Con·sec·u·tive a.
 1. Following in a train; succeeding one another in a regular order; successive; uninterrupted in course or succession; with no interval or break; as, fifty consecutive years.
 2. Following as a consequence or result; actually or logically dependent; consequential; succeeding.
    The actions of a man consecutive to volition.   --Locke.
 3. Mus. Having similarity of sequence; -- said of certain parallel progressions of two parts in a piece of harmony; as, consecutive fifths, or consecutive octaves, which are forbidden.
 Consecutive chords Mus., chords of the same kind succeeding one another without interruption.