Use this:
SELECT x.id,
x.position,
x.name
FROM (SELECT t.id,
t.name,
@rownum := @rownum + 1 AS position
FROM TABLE t
JOIN (SELECT @rownum := 0) r
ORDER BY t.name) x
WHERE x.name="Beta"
…to get a unique position value. This:
SELECT t.id,
(SELECT COUNT(*)
FROM TABLE x
WHERE x.name <= t.name) AS position,
t.name
FROM TABLE t
WHERE t.name="Beta"
…will give ties the same value. IE: If there are two values at second place, they’ll both have a position of 2 when the first query will give a position of 2 to one of them, and 3 to the other…