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Why were halves so popular for commemorative coins?
There wasn't a single reason why the half dollar became the denomination of choice for US commemorative coins - factors included economics, familiarity and aesthetics (among others).
EconomicsThe half dollar commanded enough buying power at the start of the US commemorative coin series to be seen as "significant" and "important." It was a meaningful store of value that was seen as worth keeping - an important facet of souvenir pieces.
At the same time, it was a coin that could be sold at a price 2x or 3x its face value and still be attainable by the majority - i.e., it could be sold at a price that collectors/souvenir seekers would be able to afford. US commemorative coins have always been fund raising tools - such utility is lessened if only a small group can afford them.
FamiliarityAt the time the US commemorative series was launched, and for the first half of the 20th century, the half dollar coin was the daily workhorse of the
US coinage system. While it's true that more silver dollars were produced in certain years vs. half dollar coins, it needs to be remembered that the silver dollar often did not circulate and that millions went from the Mint to storage by the Treasury as backing for Silver Cerificates. Also, there were long stretches during which no silver dollars were struck in the US.
The half dollar was seen regularly by the American public. It was familiar to them and readily accepted - it did not present an obstacle to acceptance. As was observed by jbuck in the original thread, the quarter dollar has replaced the half dollar as the workhorse coin in today's economy and such is a big reason why we are currently seeing multiple topical series using the quarter dollar.
AestheticsThe size of the US half dollar is such that it affords an artist/designer a reasonably-sized "canvas" for expression, without being too large to be carried comfortably as a pocket piece/souvenir. Details can be made large enough to see/identify and stories of history can be conveyed (if kept simple). It's not a perfect size, but it is a reasonable compromise among the US coin denominations.
OtherOther factors in play...
- The US Treasury Department/US Mint supported the use of the half dollar coin for commemorative coinage.
- At some point, the half dollar had achieved the level of "standard" for US commemorative pieces (by the late 1920s), thus little thought was given to the use of other denominations in new proposals. There were a few proposals for commemorative coins of other denominations, but none were authorized. Momentum can be a powerful force.