This can only be completed in memory sequence 4. You will need to complete every section with a gold style rating. Restarting from checkpoints is allowed. You may also get the combo master achievement / trophy during this run.
Here is a video guide with English commentary for this achievement!
Here is a playlist of guides for this game!
https://www.youtube.com/playlist?list=PL-HeW6XkKdUKCPof8gLhv...