The Franks were redoubtable warriors, and were generally of great stature.

" Ex ungue leonem " might have been justly said, for he attacked, and attacked successfully, the redoubtable Warburton.

The point at issue was, that neither in the polyphonic school, in which Zarlino was educated, nor in the later monodic school, of which his recalcitrant pupil, Vincenzo Galilei, was the most redoubtable champion, could those proportions be tolerated in practice, however attractive they might be to the theorist in their mathematical aspect.

Charles attempted to buy off these redoubtable invaders, a policy which aroused the anger of his German subjects, whose resentment was accentuated by the kings indifference to their condition, and found expression in 887 when Arnulf, an illegitimate son of Carloman, the eldest son of Louis the German, led an army of Bavarians against him.

The revolt speedily collapsed before this redoubtable commander, and Alem and the other leaders surrendered.