Error when browsing cube in BIDS or SSMS: "An error 0xE0040200 occurred. No further information was provided."

While working on an SSAS project today, I was scripting out some MDX calculations in the cube (year to date, month to date, previous year's month to date, and previous year to date). I wrote the calculations and they looked perfect, but when I tried to browse the cube in BIDS after deploying, I received this very perplexing error: