The term "home base" in music typically refers to the "tonic" note of a scale rather than a rhythmic value like half note, quarter note, eighth note, or sixteenth note. However, if you are referring to rhythmic notation in the context of time signatures and rhythmic feel, then the quarter note is often considered the "home base" in many musical contexts, as it serves as a fundamental unit of measure in 4/4 time.
Based on your options, the best choice would be:
quarter note
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