Vintagent and a small entry in the French language Wikipedia.
The Majestic was designed by a Georges Roy, who had owned the 'New Motorcycle' brand of bikes. He contracted the manufacturers of Dollar motorcycles to build the Majestic for him between 1929 and 1933, and approximately 100 machines were believed to have been built. Seems to have been a variety of engines used, mostly 350cc singles, and the ones I saw in France were singles.
What can you say about the styling? Wonderful Art Deco, with 'cooling slots' down the side like racing cars of the era. They also had a suitably styling 'dashboard'