The sizing of chess pieces to a chess board is mostly a matter of personal taste. Tournament play is the exception to this, since very clear specifications are given by the governing bodies as to the specific sizes of pieces and boards. For example, the US Chess Federation, the governing body for chess in the United States has specific "Equipment Standards" outlined in their rules. For chess pieces they specify a King that measures 3 3/8" to 4 1/2" with a base diameter of 40-50% of the height.
For chessboard proportions the USCF specifies:
The chess pieces should fit comfortably on the chess board, being neither too crowded nor too isolated on the squares. The king and queen, for example, should be subject to easy placement on a square without touching any edge. Chess boards for standard sets should have squares of approximately 2 - 2 1/2 inches (5.08 - 6.35cm). One convenient test is that the square formed by the bases of four pawns should be about the same size as any square on their board." - The USCF's Official Rules of Chess/compiled and sanctioned by the U.S. Chess Federation. -4th Ed., ISBN 0-8129-2217-4, David McKay Company, INC., pgs. 165-166
Let's examine some options when your chess sets, boards, or your personal taste differs from the tournament standards. We shall attempt to give you specific examples for "Staunton pattern" pieces and "non-Staunton" pieces.
Below are some examples of some "Staunton pattern" sets we carry along with sizes of boards they work with. You can also use this for reference, and comparison, on sizes, colors and dimensions within the selections. Bear in mind, the four pawn guideline may not work in the case of many chessmen available, since each manufacturer makes its pieces with different styles. Consider also your personal sense of the aesthetic.
If you look at our descriptions of chess pieces you will notice that we always include the height and base diameter of the kings. This is because we have found an effective method of choosing a board for a given set of chessmen. This is called"The 75% Guideline". It's a simple little guideline that says the kings base diameter should be 75% of the playing square diameter of your chessboard. Simple! Well not really, there are always exceptions to any rule, but for the most part we find this works fairly well with most "Staunton pattern" chessmen.
In the images below you will see"The 75% Guideline" in application. This king measures 1 3/4" inch base diameter and the chessboard has playing squares measuring 2 1/4" inches. This works out so the kings diameter is about 75% of the size of the square.
These situations occur commonly when some folks choose a chessboard to fit on a table, or some other space set aside, in their home, and do not consider the size of the chess pieces they own or intend to purchase. If you already own pieces, your choice of chessboard should be limited to the size of the pieces exclusively. If you are considering purchasing both chessboard and chess pieces, then choose the board first to fit your home, then pick pieces appropriate for that chessboard, in that order.
If you follow this guideline when selecting a chessboard and chess pieces you can be sure that the proportions will be pleasing. If you want the pieces a bit more close together than in the above images, add 5% and if you like more space subtract 5% from the guideline. We feel that if you increase or decrease the proportions greater than +/- 5%, you will end up in the situation mentioned above. Follow this guideline for "Staunton pattern" chessmen. But what about non-Staunton sets?
This gets a bit more difficult, since the proportions of height to base diameter varies greatly in non-Staunton chessmen. In addition, some chessmen are wider at some point then the diameter of their bases.