More info:

Orchesography was written by Arbeau (real name Jehan Tabouret) as a compendium and an instructional manual for the dances that were poopular at the French court at the end of the 16th Century: the tone of the discourse is that some of the dances recorded were falling out of favour and possibly even considered archaic by the time Arbeau was writing.

The musical instruments mentioned in the book (or, to be accurate and pre-empt MudPedants, the Dover Publications translation of the instrument names) include the fife, the pipe and tabor, the hautboys, and the violin. Most/all of those instruments, in the hands of averagely skilled court musicians of the period, would have easily coped with the inclusion of the flattened note for the C part of the Horses Brawl tune.