People really underestimate the value of Occasional Consistency. Occasionally Consistent databases, like MongoDB, are great for approximation algorithms, sublinear time algorithms, and similar applications.
"MongoDB, even at the strongest consistency levels, allows reads to see old values of documents or even values that never should have been written."
1. http://docs.mongodb.org/manual/reference/glossary/#term-stri...
Great for sub-linear time algorithms! At that point, all my algorithms ran at less than O(n) on the size of the data I had written in.
From a business perspective, Occasional Consistency is also a very nice property if you are storing audit data for certain types of organizations. It gives complete plausible deniability about rule compliance.
I guess you could also call it Quantum Consistency.
I can't even google this term without it auto correcting to Eventually Consistency.
The wiki article, https://en.wikipedia.org/wiki/Consistency_model, doesn't even have such a term.
Doing a hard search term on google reveals nothing.