Your author is hopelessly mixing his apples and his oranges here --the Middlevils didn't use the modern French "midi" for noon, but "sext" (which makes sense, if "nones" is the ninth hour, the hour three hours before that would be the sixth hour. (are you confused enough, yet?)
And, as Tony pointed out, the term is "Nones" rather than the non-existant "none" --which might account for your difficulty in finding it.
Cf.
http://en.wikipedia.org/wiki/Nones_(calendar)#Monthswhere the "nones", in a month, also "implies ninth from the Latin novem, because, counting Ides as first, one day before is the second, and eight days before is the ninth."
Which should certainly clear up any residual confusion.
The "canonical hours" of the day are explained (more or less) here:
http://en.wikipedia.org/wiki/Canonical_hoursIt really wasn't the Middevils' fault --they inherited that cockamamie system from the Romans and forgot to change it into something comprehensible when the latter (thankfully) Fell.