If the capital city of a US state conforms to a special rule, I identify it as having a Balanced State of Capital™. As it turns out, only 8 of the 50 state capitals qualify for this Balanced State.
Those 8 state capitals, in alphabetical order, are:
- Atlanta, GA
- Boise, ID
- Juneau, AK
- Nashville, TN
- Phoenix, AZ
- Richmond, VA
- Sacramento, CA
- Topeka, KS
What rule defines these each as Balanced State of Capitals?
There are 42 state capitals that don't qualify. Look at a few to see how they might differ from these.