Leap Year: A Most Ingenious Paradox!

PIRATE KING:
For some ridiculous reason, to which, however, I’ve no desire to be disloyal,
Some person in authority, I don’t know who, very likely the Astronomer Royal,
Has decided that, although for such a beastly month as February, twenty-eight days as a rule are plenty,
One year in every four his days shall be reckoned as nine and-twenty.
Through some singular coincidence — I shouldn’t be surprised if it were owing to the agency of an ill-natured fairy–
You [Fredric] are the victim of this clumsy arrangement, having been born in leap-year, on the twenty-ninth of February;
And so, by a simple arithmetical process, you’ll easily discover,
That though you’ve lived twenty-one years, yet, if we go by birthdays, you’re only five and a little bit over! RUTH and KING:

Ha! ha! ha! ha! ha! ha!
Ho! ho! ho! ho!

FREDERIC:

Dear me!
Let’s see! (counting on fingers)
Yes, yes; with yours my figures do agree! ALL:

Ha! ha! ha! ha! ha! ha! ha! ha!

FREDERIC:

(more amused than any) How quaint the ways of Paradox!
At common sense she gaily mocks!
Though counting in the usual way,
Years twenty-one I’ve been alive,
Yet, reck’ning by my natal day,
Yet, reck’ning by my natal day,
I am a little boy of five!

RUTH and KING:

He is a little boy of five!
Ha! ha! ha! ha! ha! ha! ha! ha!

ALL:

A paradox, a paradox,
A most ingenious paradox!
Ha! ha! ha! ha! ha! ha! ha! ha!
A paradox,
Ha! ha! ha! ha! ha! ha! ha! ha!
A curious paradox,
Ha! ha! ha! ha! ha! ha! ha! ha!
A most ingenious paradox!
 

The Pirates of Penzance from The Gilbert and Sullivan Archive