It is the same thing for state's radio - there is English and French sections which are independents (lucky-lucky).
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Leonard Cohen on a Canadien Errant sounds a lot like Zachary Richard (for more details about him : http://zacharyrichard.com/richardfrench/home.html), it is the accent of somebody whos muscles are used to speak English most of the time. It is not the International French. Now is this is "bad"? For me : no - but for some people, it is. Yes. When we speak this and that language we use diffirent muscles, that explains - partly (substances that alters the functionning of the pituitary gland and/or reflexes, etc. can explain also some "accents") - the accents. I heard some opera singers - and other non-French singers of other kind of styles (jazz, blues, etc.) - that were singing in French and, well, that was not better than what he did, frankly, but because it is opera, many would say nothing. Snobism? I don't know. Probably (I don't care)
Usually it seems to me that females are better than males with languages. I don't want to generalize and/or to be sexist (joke).

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West of Québec? Could you be more precise please? West of Québec... (inside or outside Québec?)