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Etymology · Proto-Indo-European

*ḱad-

2 English words descend from Proto-Indo-European *ḱad-, most common first.

cadenceThe act or state of declining or sinking.
decadenceWith a negative connotation: the process of declining from a state of moral virtue, prosperity, etc., to a worse state; decay, deterioration; also, the bad state which has been reached; (countable) an instance of this.