[AT&T Samsung Galaxy Note I717] littlewierdo:
Alright, so, no, that sounds TERRIBLE going from full to 83% in 4 hours with only a 20 minute phone call.

Im on stock, unrooted and (having just tested), I go from 100 to 96% after a 20 minute call.

So, one of three things are happening here.

1. Your phone isnt deep sleeping

Solution: cpuspy. There are instructions for how to set it up and use it, since I have never used it, I cant help you here.

2. Radios (GPS, Cellular Data, Wifi, Bluetooth, NFC)

Manually turn them off or use a tool to automate this. There are a number of them out there, Juice Defender, AutomateIt, or my personal choice, Tasker (listed in order of ease of use but least features/functionality to most difficult to use but has most features/functionality).

Personally, I dont think your radios would be the problem, but nonetheless, they are something that if you can control their use, can save you some battery.

3. Rogue apps

This is absolutely the most tricky one to figure out.

Option 1:

Start by installing Titanium Backup from the market and do a backup of all USER apps (copy the backups to your PC before proceeding!!). Then you should do is a factory reset (Settings->Privacy), then install cpuspy, battery monitor widget pro (by 3C), and Titanium Backup from the market and use Titanium to restore only the bare minimum apps you need on your phone to survive (in other words, install only what you need, NOT what you might need). Slowly add apps (again, that you actually use) and monitor the phone. I usually will add 5 at a time, if I notice a significant battery drain after adding five, its easier to determine the potential cause.

Option 2:

Now, since the above is an absolute *****, another option that might appeal is a little app called Autostarts. Launch it and as soon as it is done loading, hit your menu button and look for an option to 'Group by Application'. It might also not be a bad idea to enable the 'Hide System Apps' option unless you know what you are doing'. Once you have done this, start at the top of the list and disable EVERY condition that an app has listed under it unless one of the following is true:

1. The app has a widget THAT YOU USE (if you dont use the widget portion, then this is not applicable).

2. The app has a scheduled task to perform under certain conditions or at certain times (ie. podcast client that updates your RSS feeds at a scheduled time, or Juice Defender which disables services, Dropbox which might sync your pictures if you have it configured this way).

Be aggressive WITH USER APPS. Even apps like Google Maps have absolutely NO REASON to be running in the background.

I would NOT touch system apps unless you know what you are doing. Unfortunately, I am not familar with ICS on the Note and what apps it considers a system app, I was very delicate with these, only disabling things like Gallery, Maps (on the Captivate, Maps was considered a system app), & Music.

4. Non-updated apps

Lastly, I cannot tell you how stupid people are about updating their apps. Obviosuly, it isnt applicable to everyone but to give you an idea, my sister handed me her phone and it had 47 app updates. Just last night, I looked at one of our company phones and it had 33 app updates and a system update.

Samsung is SUPER terrible about linking their apps to the market correctly. Launch Titanium Backup and hit the menu button, under settings and I think More, you will find an option to link apps to the market (it might be called market doctor, I havent used TB in a long time). This will make a number of stock apps show up under your list of installed apps when you open the market and allow you to easily hit the update all button without having to manually search for every app you have installed on your phone manually, one by one.

App updates are extremely important, often times, security vulnerabilities and performance improvements are made (this might include battery life improvements). There are a number of ways to have your apps automatically update if you dont want to manually do it (me personally, I like to know what changes came to each app).