JADELottery's Pick 4 H-Trac System
Reference - JADELottery's Pick 3 H-Trac System, Mapping Pick 3 ABC Numbers into the RGB Color Cube, Example Pick 3 H-Trac Excel Workbook
Well, you may have guessed and you were right. There is an H-Trac System for Pick 4. Before we begin, I highly recommend that anyone coming here for the first time should see the documentation in JADELottery's Pick 3 H-Trac System.
Like the Pick 3 H-Trac, the Pick 4 H-Trac has three parts: Brightness, Contrast and Type. Pick 4 uses the MAX and MIN values of the Pick 4 Number (A B C D) the same way and calculates the Brightness and Contrast Numbers the same way. With Pick 4 though, there is an extra number that is need to divide up the Hue Groups into more manageable and more playable quantity of Combos. This added number is called a Density Number and is used to further segment the Hue Groups in to sections. Also, this Density Number keeps to the rule of Gray Line Centric, meaning the Hue Groups still follow the Gray Line and are Centered around a certain Gray Value. The Gray Line represents the Triples and Quads of a Pick 3 Number Cube and Pick 4 Number Tesseract.
As before, calculate the Brightness and the Contrast Number the same way using the MAX and MIN values of the Pick 4 numbers (A B C D). The Density Number also uses MAX and MIN, however, it will also be necessary to ROUND the Density Number the the nearest integer. Examples: -1.5 is rounded to -2, 3.5 is rounded to 4, and 0.5 is rounded to 1. You can use the ROUND function in Excel to do this operation by setting the second variable to 0, like =ROUND(-1.5, 0).
Pick 4 H-Trac Calculations
1 - Normal Brightness Number
nB = MAX + MIN - 9
2 - Absolute Brightness Number
aB = ABS(nB) = ABS(MAX + MIN - 9)
3 - Contrast Number
C = MAX - MIN
4 - Pick 4 H-Trac Density
A in the ROUND function is the first number in the Pick 4 data (A B C D).
D = ROUND(A - ((MAX + MIN) / 2), 0)
Here's a few examples:
Pick 4 | MAX | MIN | Normal Brightness | Absolute Brightness | Contrast | Density |
5827 | MAX = 8 | MIN = 2 | nB = 8 + 2 - 9 = 1 | aB = ABS(1) = 1 | C = 8 - 2 = 6 | D = ROUND(5 - ((8 + 2)/2), 0) = 0 |
1204 | MAX = 4 | MIN = 0 | nB = 4 + 0 - 9 = -5 | aB = ABS(-5) = 5 | C = 4 - 0 = 4 | D = ROUND(1 - ((4 + 0)/2), 0) = -3 |
3148 | MAX = 8 | MIN = 1 | nB = 8 + 1 - 9 = 0 | aB = ABS(0) = 0 | C = 8 - 1 = 7 | D = ROUND(3 - ((8 + 1)/2), 0) = -2 |
4020 | MAX = 4 | MIN = 0 | nB = 4 + 0 - 9 = -5 | aB = ABS(-5) = 5 | C = 4 - 0 = 4 | D = ROUND(4 - ((4 + 0)/2), 0) = 2 |
5555 | MAX = 5 | MIN = 5 | nB = 5 + 5 - 9 = 1 | aB = ABS(1) = 1 | C = 5 - 5 = 0 | D = ROUND(5 - ((5 + 5)/2), 0) = 0 |
7410 | MAX = 7 | MIN = 0 | nB = 7 + 0 - 9 = -2 | aB = ABS(-2) = 2 | C = 7 - 0 = 7 | D = ROUND(7 - ((7 + 0)/2), 0) = 4 |
The Pick 4 H-Trac Number is written the same way as the Pick 3 H-Trac Number: Brightness-Contrast-Type
The Pick 4 Density Number is added to the right of the Normal and Absolute H-Trac Numbers.
From the examples above, here are the H-Trac Numbers for each Pick 4 number with the Density Number on the right:
Pick 4 | Normal | Absolute | Density |
5827 | 16n | 16a | 0 |
1204 | -54n | 54a | -3 |
3148 | 07n | 07a | -2 |
4020 | -54n | 54a | 2 |
5555 | 10n | 10a | 0 |
7410 | -27n | 27a | 4 |
Notice in the above example, even though 1204 and 4020 have the same Normal and Absolute H-Trac Numbers, their Density Number is different. Remember this when looking for a Hue Group of Combos.
Here are the complete lists of the Normal, Absolute and Density H-Trac Numbers.
| | | Normal | | | | | Absolute | | | Pick 4 |
| Normal | | H-Trac | | | Absolute | | H-Trac | | | H-Trac |
| Brightness | Contrast | Number | | | Brightness | Contrast | Number | | | Density |
1 | -9 | 0 | -90n | | 1 | 0 | 1 | 01a | | 1 | -5 |
2 | -8 | 1 | -81n | | 2 | 0 | 3 | 03a | | 2 | -4 |
3 | -7 | 0 | -70n | | 3 | 0 | 5 | 05a | | 3 | -3 |
4 | -7 | 2 | -72n | | 4 | 0 | 7 | 07a | | 4 | -2 |
5 | -6 | 1 | -61n | | 5 | 0 | 9 | 09a | | 5 | -1 |
6 | -6 | 3 | -63n | | 6 | 1 | 0 | 10a | | 6 | 0 |
7 | -5 | 0 | -50n | | 7 | 1 | 2 | 12a | | 7 | 1 |
8 | -5 | 2 | -52n | | 8 | 1 | 4 | 14a | | 8 | 2 |
9 | -5 | 4 | -54n | | 9 | 1 | 6 | 16a | | 9 | 3 |
10 | -4 | 1 | -41n | | 10 | 1 | 8 | 18a | | 10 | 4 |
11 | -4 | 3 | -43n | | 11 | 2 | 1 | 21a | | 11 | 5 |
12 | -4 | 5 | -45n | | 12 | 2 | 3 | 23a | | | |
13 | -3 | 0 | -30n | | 13 | 2 | 5 | 25a | | | |
14 | -3 | 2 | -32n | | 14 | 2 | 7 | 27a | | | |
15 | -3 | 4 | -34n | | 15 | 3 | 0 | 30a | | | |
16 | -3 | 6 | -36n | | 16 | 3 | 2 | 32a | | | |
17 | -2 | 1 | -21n | | 17 | 3 | 4 | 34a | | | |
18 | -2 | 3 | -23n | | 18 | 3 | 6 | 36a | | | |
19 | -2 | 5 | -25n | | 19 | 4 | 1 | 41a | | | |
20 | -2 | 7 | -27n | | 20 | 4 | 3 | 43a | | | |
21 | -1 | 0 | -10n | | 21 | 4 | 5 | 45a | | | |
22 | -1 | 2 | -12n | | 22 | 5 | 0 | 50a | | | |
23 | -1 | 4 | -14n | | 23 | 5 | 2 | 52a | | | |
24 | -1 | 6 | -16n | | 24 | 5 | 4 | 54a | | | |
25 | -1 | 8 | -18n | | 25 | 6 | 1 | 61a | | | |
26 | 0 | 1 | 01n | | 26 | 6 | 3 | 63a | | | |
27 | 0 | 3 | 03n | | 27 | 7 | 0 | 70a | | | |
28 | 0 | 5 | 05n | | 28 | 7 | 2 | 72a | | | |
29 | 0 | 7 | 07n | | 29 | 8 | 1 | 81a | | | |
30 | 0 | 9 | 09n | | 30 | 9 | 0 | 90a | | | |
31 | 1 | 0 | 10n | | | | | | | | |
32 | 1 | 2 | 12n | | | | | | | | |
33 | 1 | 4 | 14n | | | | | | | | |
34 | 1 | 6 | 16n | | | | | | | | |
35 | 1 | 8 | 18n | | | | | | | | |
36 | 2 | 1 | 21n | | | | | | | | |
37 | 2 | 3 | 23n | | | | | | | | |
38 | 2 | 5 | 25n | | | | | | | | |
39 | 2 | 7 | 27n | | | | | | | | |
40 | 3 | 0 | 30n | | | | | | | | |
41 | 3 | 2 | 32n | | | | | | | | |
42 | 3 | 4 | 34n | | | | | | | | |
43 | 3 | 6 | 36n | | | | | | | | |
44 | 4 | 1 | 41n | | | | | | | | |
45 | 4 | 3 | 43n | | | | | | | | |
46 | 4 | 5 | 45n | | | | | | | | |
47 | 5 | 0 | 50n | | | | | | | | |
48 | 5 | 2 | 52n | | | | | | | | |
49 | 5 | 4 | 54n | | | | | | | | |
50 | 6 | 1 | 61n | | | | | | | | |
51 | 6 | 3 | 63n | | | | | | | | |
52 | 7 | 0 | 70n | | | | | | | | |
53 | 7 | 2 | 72n | | | | | | | | |
54 | 8 | 1 | 81n | | | | | | | | |
55 | 9 | 0 | 90n | | | | | | | | |
Here's an application to my state's WI Pick 4 numbers for a few draws:
Draw | Date | Example | H-Trac Number | Pick 4 H-Trac Density | H-Trac Table |
Pick 4 | Brightness | Contrast | Density |
A | B | C | D | Normal | Absolute | Normal | Absolute |
3361 | 2006-11-25 | 3 | 3 | 4 | 4 | -21n | 21a | -1 | -2 | 2 | 1 | -1 |
3362 | 2006-11-26 | 3 | 1 | 9 | 6 | 18n | 18a | -2 | 1 | 1 | 8 | -2 |
3363 | 2006-11-27 | 7 | 9 | 5 | 3 | 36n | 36a | 1 | 3 | 3 | 6 | 1 |
3364 | 2006-11-28 | 4 | 4 | 8 | 7 | 34n | 34a | -2 | 3 | 3 | 4 | -2 |
3365 | 2006-11-29 | 0 | 5 | 0 | 0 | -45n | 45a | -3 | -4 | 4 | 5 | -3 |
3366 | 2006-11-30 | 8 | 8 | 6 | 0 | -18n | 18a | 4 | -1 | 1 | 8 | 4 |
3367 | 2006-12-01 | 1 | 8 | 7 | 4 | 07n | 07a | -4 | 0 | 0 | 7 | -4 |
3368 | 2006-12-02 | 0 | 1 | 3 | 8 | -18n | 18a | -4 | -1 | 1 | 8 | -4 |
3369 | 2006-12-03 | 9 | 0 | 4 | 3 | 09n | 09a | 5 | 0 | 0 | 9 | 5 |
3370 | 2006-12-04 | 3 | 7 | 0 | 7 | -27n | 27a | -1 | -2 | 2 | 7 | -1 |
3371 | 2006-12-05 | 0 | 9 | 4 | 6 | 09n | 09a | -5 | 0 | 0 | 9 | -5 |
3372 | 2006-12-06 | 5 | 6 | 7 | 9 | 54n | 54a | -2 | 5 | 5 | 4 | -2 |
3373 | 2006-12-07 | 9 | 4 | 1 | 3 | 18n | 18a | 4 | 1 | 1 | 8 | 4 |
3374 | 2006-12-08 | 5 | 3 | 1 | 1 | -34n | 34a | 2 | -3 | 3 | 4 | 2 |
3375 | 2006-12-09 | 4 | 4 | 6 | 4 | 12n | 12a | -1 | 1 | 1 | 2 | -1 |
3376 | 2006-12-10 | 2 | 9 | 1 | 0 | 09n | 09a | -3 | 0 | 0 | 9 | -3 |
3377 | 2006-12-11 | 6 | 7 | 8 | 3 | 25n | 25a | 1 | 2 | 2 | 5 | 1 |
3378 | 2006-12-12 | 8 | 1 | 1 | 4 | 07n | 07a | 4 | 0 | 0 | 7 | 4 |
3379 | 2006-12-13 | 7 | 4 | 0 | 2 | -27n | 27a | 4 | -2 | 2 | 7 | 4 |
3380 | 2006-12-14 | 3 | 3 | 4 | 4 | -21n | 21a | -1 | -2 | 2 | 1 | -1 |
3381 | 2006-12-15 | 1 | 1 | 8 | 7 | 07n | 07a | -4 | 0 | 0 | 7 | -4 |
3382 | 2006-12-16 | 7 | 0 | 9 | 8 | 09n | 09a | 3 | 0 | 0 | 9 | 3 |
3383 | 2006-12-17 | 5 | 0 | 0 | 1 | -45n | 45a | 3 | -4 | 4 | 5 | 3 |
3384 | 2006-12-18 | 3 | 9 | 9 | 2 | 27n | 27a | -3 | 2 | 2 | 7 | -3 |
3385 | 2006-12-19 | 9 | 5 | 4 | 0 | 09n | 09a | 5 | 0 | 0 | 9 | 5 |
3386 | 2006-12-20 | 2 | 5 | 0 | 7 | -27n | 27a | -2 | -2 | 2 | 7 | -2 |
3387 | 2006-12-21 | 5 | 6 | 9 | 3 | 36n | 36a | -1 | 3 | 3 | 6 | -1 |
3388 | 2006-12-22 | 7 | 4 | 3 | 3 | 14n | 14a | 2 | 1 | 1 | 4 | 2 |
3389 | 2006-12-23 | 4 | 4 | 3 | 1 | -43n | 43a | 2 | -4 | 4 | 3 | 2 |
3390 | 2006-12-24 | 4 | 0 | 0 | 8 | -18n | 18a | 0 | -1 | 1 | 8 | 0 |
3391 | 2006-12-25 | 3 | 4 | 7 | 2 | 05n | 05a | -2 | 0 | 0 | 5 | -2 |
3392 | 2006-12-26 | 4 | 8 | 3 | 4 | 25n | 25a | -2 | 2 | 2 | 5 | -2 |
Here is the Example Pick 4 H-Trac Excel Workbook.
You'll need this to find the right Hue Group Combos in my next posted reply. Please review it first before my next posted reply.