mysql server cannot launch in windows 7
I just noticed that you are at the Windows Command Line. You are trying to launch MySQL.

You cannot start MySQL because you are not an Administrator.

Please Open CMD.EXE as an Administrator. Then, you can run


net start MySQL56_1
mysqld --console


According to the latest update, mysqld is running just fine. That's because it says

mysqld: ready for connecitons

A prompt will not return to you.

You can now open another Command Line session and login using the mysql client.

UPDATE 2014-07-28 17:51 EDT

You need to run the following:

cd C:\Program Files\MySQL\MySQL Server 5.6\bin
mysqld --console


UPDATE 2014-07-28 18:28 EDT

When you ran mysqld --console you were not using the my.ini

Call it like this

mysqld -defaults-file="C:\ProgramData\MySQL\MySQL Server 5.6\my.ini" --console


If you want the prompt to come back, run this

start mysqld -defaults-file="C:\ProgramData\MySQL\MySQL Server 5.6\my.ini" --console


UPDATE 2014-07-28 18:48 EDT

My suggestion from the Chat Session

cd "C:\ProgramData\MySQL\MySQL Server 5.6\data"
move ib_logfile* ..
net start MySQL 56_1


Give the service time to regenerate the Log Files, and you should be good to go.