Great quiz! If only I knew more US state capitals (why are all Americans capitals small, arguably insignificant cities?) I know there's history behind this, but it does make US capital quizzes difficult, for me at least.
Not all, but most. Atlanta, Boston, Austin, St. Paul, Nashville, Salt Lake City, Honolulu, Denver, Columbus, and Phoenix are major cities (at least by the standards of their own states). But the capitals are usually small because 1) they're often centrally-located in the state so they are accessible to all residents, which usually means they're not near water (and the biggest cities usually develop by water), and 2) a lot of older capitals, like Albany and Harrisburg, were specifically chosen to be far away from the commercial centers (i.e., big cities) to limit the influence of big business on politics...obviously, that strategy has not worked.
In the state of Arkansas many counties have two county seats, especially counties which are divided by a river. In the spring when rivers were in flood, people could still get to one county seat to conduct business. Making the capitals in cities away from water makes sense from that point of view.
Some are meant to be central to the populations of their state at the time. Salem, OR, for instance is central to the Willamette Valley, putting it within a day's travel for the majority of Oregon's population, despite being several hundred miles from 2/3 of the state.
I happen to live near Boston and I can tell you why it is the capital. 1, because it is the largest and most populated city in Massachusets. 2, It has a very long line of history and 3, it is located next to the water.
An interesting fact about Massachusetts, the town of Rehoboth was once in consideration for the capital of the state. As a town with a population of 11,608 it makes no sense now... but at the time, it was much bigger - in population and in area. Rehoboth's territory included present-day cities of Attleboro, East Providence RI, most of Pawtucket RI, and others.
A few state capitals started out as secondary cities and then became major cities. The best example of this is Atlanta, which was not the biggest city in Georgia when it was selected as a capital, but now is a major U.S. city.
Similarly, Columbus has grown in size over time and eclipsed the former bigger cities of Cleveland and Cincinnati.
Nope, by city proper it's exactly half, and by urban area it's still less than 30. Many others are in the top 5 (e.g. Santa Fe), and some are still major cities (e.g. Sacramento), but others are small towns (e.g. Frankfort) or, despite being relatively major, are still not one of the cities you'd think of when thinking about that state (e.g. Harrisburg).
There are 17 states where the capital is also the largest city: Arizona (Phoenix), Arkansas (Little Rock), Colorado (Denver), Georgia (Atlanta), Hawaii (Honolulu), Idaho (Boise), Indiana (Indianapolis), Iowa (Des Moines), Massachusetts (Boston), Mississippi (Jackson), Ohio (Columbus), Oklahoma (Oklahoma City), Rhode Island (Providence), South Carolina (Columbia), Utah (Salt Lake City), West Virginia (Charleston), Wyoming (Cheyenne). There's also some cases where things are changed when taking into account metro area - St Paul is the capital, but taken alone is not the largest city in Minnesota, however it is part of the largest metro area thanks to merging with larger Minneapolis. In Ohio Columbus and Cleveland metro areas are neck and neck, but Cleveland's CSA is larger than that of Columbus.
Further on that point, I think part of the reason people think US capital cities tend to be small or obscure arises from the fact that many major cities nationally are not capitals. Part of the reason for this is that the big states tend to have many major cities, whereas some states have no major cities at all so even their largest is small by national standards. Cheyenne, Wyoming is the largest city in its state, but the whole state has only about a quarter of the metro populations of Sacramento or Austin, which despite both being large cities and capitals are nowhere near the biggest in their respective states. I think another factor is that in the big four states a (competitively) small city is capital, not the world-famous metropolis(es) - neither LA nor San Francisco get to be capital of California, neither Houston nor Dallas get to be capital of Texas, and both Miami and NYC miss out in Florida and New York. Yet among the Big 4's capitals, only Tallahassee is genuinely 'small'.
The best combination I have found is Augusta - Annapolis - Atlanta - Indianapolis - Des Moines - Little Rock - Pierre - Denver - Boise - Salem - Carson City - Phoenix - Austin - Juneau - Honolulu.
Got it on my 4th try, although on my 3rd I had the time, only I typed in "olympius" instead of "olympia" to round out the NW and stared blankly for 3 seconds, not comprehending why it wasn't accepted.
I started in the NE and zigzagged north and south. Albany - Annapolis - Atlanta - Jackson - Austin - Lansing - Oklahoma City - Jefferson City - Bismarck - Boise - Denver - Salt Lake City - Sacramento - Honolulu - Juneau - Olympia - Phoenix. Thank God it accepted "pheonix" for the last one.
By the way, it's not just US states that don't always have their largest or more iconic city as the capital. Whether it's because sub-national groups don't want to be ruled from a city identified with a different sub-national group, because people outside the iconic city want to tame that city's power, or because new rulers wanted to separate from the previous ruling elite, or another reason, or because a different city eclipsed the previously iconic city, this phenomenon happens a fair amount.
Off the top of my head, nations in which this has clearly played out include Canada, Switzerland, Tanzania, Canada, Myanmar, Brazil, Pakistan, Nigeria, South Africa, and the US itself. I'm sure others can come up with many other examples even excluding countries such as India where the capital has clearly been an important city for ages even though it's not currently the largest city.
An interesting fact about Massachusetts, the town of Rehoboth was once in consideration for the capital of the state. As a town with a population of 11,608 it makes no sense now... but at the time, it was much bigger - in population and in area. Rehoboth's territory included present-day cities of Attleboro, East Providence RI, most of Pawtucket RI, and others.
Similarly, Columbus has grown in size over time and eclipsed the former bigger cities of Cleveland and Cincinnati.
I started in the NE and zigzagged north and south. Albany - Annapolis - Atlanta - Jackson - Austin - Lansing - Oklahoma City - Jefferson City - Bismarck - Boise - Denver - Salt Lake City - Sacramento - Honolulu - Juneau - Olympia - Phoenix. Thank God it accepted "pheonix" for the last one.
Off the top of my head, nations in which this has clearly played out include Canada, Switzerland, Tanzania, Canada, Myanmar, Brazil, Pakistan, Nigeria, South Africa, and the US itself. I'm sure others can come up with many other examples even excluding countries such as India where the capital has clearly been an important city for ages even though it's not currently the largest city.