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Edinburgh Southern, Edinburgh Central and Edinburgh Western all saw a bigger percentage of the electorate using their vote than at any previous Scottish Parliament election going back to the advent of devolution in 1999.
Edinburgh Western, likely to be held by the Lib Dems, had the highest turnout at 71.46 per cent - nearly seven percentage points ahead of the previous highest figure of 64.5 per cent in 2016.
Not far behind was Edinburgh Southern, where Labour looks set to see off an SNP challenge, with a 71.11 per cent turnout - a similar-sized increase since the previous record of 64.6 per cent, also in 2016.
And Edinburgh Central, which the SNP is poised to win from the Tories,saw a 62.69 per cent turnout, up more than five percentage points from 2016's 57.3 per cent, the previous highest for the seat.