Movedalot I think we should introduce bands above the existing bands, currently the start of the top band in £320k. I know these were set some years ago but I do not see why they shouldn't have tax bands I, J & K set at the price levels then prevailing, of £500K, £750k and £1,000k. The Councils should have a record of the value set for every house when the revaluation was done.
Aspen In France, where we have a second home, we have always paid full council tax for our house, even though we spend more time in England than France. When we started local taxes in France were considerable lower than in the UK, but the French are rapidly catching up.