A Corbett is a peak in Scotland with a summit between 2500 feet and 3000 feet of elevation, and a prominence of 500 feet or more. Unlike the more famous Munros, this is a strict criteria. And, in some ways, this is a more interesting list, since Munros are all confined to the Scottish Highlands. Corbetts can be found in the south of Scotland and on several islands without any Munros, giving this list more geographic variety than its more famous sibling.
There is no serious list of peaks in the British Isles that does not own a huge debt to Alan Dawson's The Relative Hills of Britian, the ultimate reference for the subject. The Range classification above is based on his chapter headings, with some modifications. Dawson also pioneered the use of prominence numbers to help classify peaks.