The 12 days of Christmas

According to this article, the cost of celebrating the twelve days of Christmas is going up.

I am a little confused about this song. Obviously on the first day, this person's true love game him or her a partridge in a pear tree. Now, on the second day, this person's true love gave him or her two turtle doves. The singer goes on to sing again about the partridge in a pear tree. Are we to assume that on the secon day this person's true love gave not only two turtle doves but also another partridge in a pear tree?

Does that mean that by the end of the twelve days of Christmas, this person't true love dished out:-

12 drummers drumming
22 pipers piping
30 lords a-leaping
36 ladies dancing
40 maids a-milking
42 swans a-swimming
42 geese a-laying
40 golden rings
36 calling birds
30 French hens
22 turtle doves, and
12 partridges in (12) pear trees?

That is one high maintenance true love.