Yosemite - MAMP - Can't connect to local MySQL server through socket '/Applications/MAMP/tmp/mysql/mysql.sock' (2)

I had the same problem after upgrading MySQL on MAMP from 5.5 to 5.6 version. After long research I founded this decision https://drupal.stackexchange.com/questions/32402/drush-and-mysql-database-with-mamp-connection-problem

In my case there was no socket file at that location /Applications/MAMP/tmp/mysql/mysql.sock.

The easy solution is to create a symlink:

cd /tmp
ln -s /Applications/MAMP/tmp/mysql/mysql.sock ./mysql.sock

The effect of which is to route all calls for /tmp/mysql.sock to the appropriate MAMP specific path.

simply remove two files ib_logfile0 and ib_logfile1 from /Applications/MAMP/db/mysql56

I had the same problem. I solved it following these steps:

1. I stopped and restarted MySQL via System Preferences -> MySQL (see also https://stackoverflow.com/a/26523977/204807)
2. I entered sudo mysql_upgrade in a terminal window, and pressed enter

After the update process I was able to connect with my MySQL.