MySQL limit range
You should use:
SELECT name FROM mydb ORDER BY score DESC LIMIT 10,10;
http://dev.mysql.com/doc/refman/5.5/en/select.html
The two arguments 10,10 are (Offset, Limit) so this will retrieve rows 11-20.
9,11 Would be required to grab the 10th - 20th rank.
Use offset
to clarify the query.
SELECT name FROM mydb ORDER BY score DESC LIMIT 10 OFFSET 10