From my interpretation of the Heller's CALP it isn't how much total carbohydrate in grams but how your body utilizes that food. You can eat a lot more total carbs on the Heller diet than the Atkins which requires counting and measuring.

The Hellers have you eat an equal amount of whatever you care for in a meal of half high protein / high fat and half of low carb vegetables (more vegetables than high protein / high fat if desired). You can eat as many as you want of these meals in a day.

Once a day you can include a high carb portion to your meal. This type of meal eaten anytime during the day is one quarter high protein / high fat, one quarter of low carb vegetables (approx. under 12g carb per 1/2 cup type), one quarter a mainly lettuce salad (any type) and one quarter anything high carb (over 12g carb per 1/2 cup).

You are advised to not drink alcohol on the Heller diet and only one cup of coffee or tea. They are on the Atkins because they absorbed through the large intestines and feed you by a method that makes storage in fat cells less likely. The Hellers feed you in this manner too by mixing foods to make the acid digestion needs of the protein interfere with the alkaline digestion environment of starches. Less digestion happens early to mixed foods and more makes it to the large intestine.

If you drink or are a hard core caffeine addict you may have to do the math and measure of the Atkins. If not the Heller diet, especially with organic and garden fresh veggies, is probably easier to live on.