Characteristics of MySQL:
- Database locking (MUCH easier for financial transactions)
- Consistency/security (as above, you can guarantee that, for instance, no changes happen between the time you read a bank account balance and you update it).
- Data organization/refactoring (you can have disorganized data anywhere, but MySQL is better with tables that represent "types" or "components" and then combining them into queries -- this is called normalization).
- MySQL (and relational databases) are more well suited for arbitrary datasets and requirements common in AGILE software projects.
Characteristics of Cassandra:
- Speed: For simple retrieval of large documents. However, it will require multiple queries for highly relational data – and "by default" these queries may not be consistent (and the dataset can change between these queries).
- Availability: The opposite of "consistency". Data is always available, regardless of being 100% "correct".[1]
- Optional fields (wide columns): This CAN be done in MySQL with meta tables etc., but it's for-free and by-default in Cassandra.
Cassandra is key-value or document-based storage. Think about what that means. TYPICALLY I give Cassandra ONE KEY and I get back ONE DATASET. It can branch out from there, but that's basically what's going on. It's more like accessing a static file. Sure, you can have multiple indexes, counter fields etc. but I'm making a generalization. That's where Cassandra is coming from.
MySQL and SQL is based on group/set theory -- it has a way to combine ANY relationship between data sets. It's pretty easy to take a MySQL query, make the query a "key" and the response a "value" and store it into Cassandra (e.g. make Cassandra a cache). That might help explain the trade-off too, MySQL allows you to always rearrange your data tables and the relationships between datasets simply by writing a different query. Cassandra not so much. And know that while Cassandra might PROVIDE features to do some of this stuff, it's not what it was built for.
MongoDB and CouchDB fit somewhere in the middle of those two extremes. I think MySQL can be a bit verbose[2] and annoying to deal with especially when dealing with optional fields, and migrations if you don't have a good model or tools. Also with scalability, I'm sure there are great technologies for scaling a MySQL database, but Cassandra will always scale, and easily, due to limitations on its feature set. MySQL is a bit more unbounded. However, NoSQL and Cassandra do not do joins, one of the critical features of SQL that allows one to combine multiple tables in a single query. So, complex relational queries will not scale in Cassandra.
[1] Consistency vs. availability is a trade-off within large distributed dataset. It takes a while to make all nodes aware of new data, and eg. Cassandra opts to answer quickly and not to check with every single node before replying. This can causes weird edge cases when you base you writes off previously read data and overwriting data. For more information look into the CAP Theorem, ACID database (in particular Atomicity) as well as Idempotent database operations. MySQL has this issue too, but the idea of high availability over correctness is very baked into Cassandra and gives it many of its scalability and speed advantages.
[2] SQL being "verbose" isn't a great reason to not use it – plus most of us aren't going to (and shouldn't) write plain-text SQL statements.