WordNet sense 1 (a quick and penetrating intelligence):

acuity, acuteness, keenness

WordNet sense 2 (the attribute of urgency):

edge

WordNet sense 3 (a strong odor or taste property):

bite, pungency, raciness

WordNet sense 4 (the quality of being sharp and clear):

distinctness

WordNet sense 5 (harshness of manner):

asperity