• Passwords that prevent double characters within the password: not ideal when using a scheme.
• Passwords with a minimum/maximum length: I've seen sites with a minimum of six characters and other sites with a maximum of eight characters. That means, to cover them all, you really have to choose a password of exactly six, seven or eight characters and even then it's no guarantee.
• Sites that prevent certain punctuation and other sites that require punctuation. That means you have to remember which sites require which.
• Likewise, sites that require/prohibit capital letters or require a mix of case.
It's a nightmare doing anything other than recording them somewhere. And recording them somewhere is not great either as you always have to carry that thing with you and, if it's electronic, remember to charge it.