Which preposition to use with drumbeat

from Occurrences 1%

About the great soldier's sleep every hour rolls the drumbeat from the garrison close by.

on Occurrences 1%

Before the boatloads of New Englanders had all waded through tidal mud, and ranged themselves by companies on the bank, Sainte-Hélène, who had been dispatched by Frontenac at the first drumbeat on the river, appeared, ready to check them, from the woods of Beauport.

Which preposition to use with  drumbeat