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What color is circuit #24 in a 208/120v system?
24-18=0 If your number divides evenly with no remainder it is always Blue.

Sorry about the typo It should read:

What color is circuit #24 in a 208/120v system?
24-24=0 If your number divides evenly with no remainder it is always Blue.

I got carried away with the copy & paste functions.
 
Maybe this will will help out.

We all can remember on a 3? systems
1-Black, 3-Red, 5-Blue.
2-Black, 4-Red, 6-Blue.
Let's call these numbers "base numbers".

The same goes for Brown-Orange-Yellow, or any other repeatable color combination.
Just remember multiples of 6. 6,12,18,24,30,36 & 42. Let's call these numbers the "multiplier numbers".

Example:
You take the circuit number. You then subtract the largest multiplier that can be subtracted from your circuit number. It will be one of the following "multiplier numbers" (6,12,18,24,30,36 or 42). You end up with a remaining number. This number is one of the base numbers (1,2,3,4,5 or 0).
Match the found base number with the color of your system.

Example #1
What color is circuit #19 in a 208/120v system?
19-18=1 1 is Black.

What color is circuit #21 in a 208/120v system?
21-18=3 3 is Red.

What color is circuit #23 in a 208/120v system?
23-18=5 5 is Blue.

What color is circuit #20 in a 208/120v system?
20-18=2 2 is Black.

What color is circuit #22 in a 208/120v system?
22-18=2 4 is Red.

What color is circuit #24 in a 208/120v system?
24-18=0 If your number divides evenly with no remainder it is always Blue.

I personally carry a small laminated "Cheat Sheet" in my wallet. Black, Red, Blue on one side and Brown, Orange, Yellow on the other.
You explained a little better than me. An old guy from Philadelphia told me about it. He was sort of a clown, but had some good sense too.
 
For years, I have just been counting "1, 3, 5, 7, 9, 11, 13, 15,....etc." while counting on 3 of my fingers at the same time! Pointer is A, middle is B and ring is C.:grin:
 
Recently did a job with my old helper. I always liked him, a good guy and all. But he could be trying. I was reminded of that with this job. Was for someone in his family. He still can't remember 6-32's for devices, 8-32's for light boxes, etc. When I mentioned patching around device boxes, his response hadn't changed, "a plate will cover that won't it?". Can't tell how many times I've told him, "that's not the issue". Explained code, 1/8 inch, flashback into wall, etc. Next time, same answer. And he wonders why he's never gotten very far or made much money. He has a good mind, or did BA (before alcohol) but doesn't use it much. And I've seen far worse help than him. Sad state of affairs.
After all was said and done, I had to redo a good part of the stuff he did. I was disappointed but not totally surprised. I had already planned that I would look over everything in detail before calling for rough in and final inspections. Last thing I wanted was the embarassment of some simple thing sticking out like a sore thumb.
 
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