Different Tees - Part 2a

This is merely a follow-up to the previous installment, addressing Dan's math in the comments. For the sake of argument, let's assume there are three tees with the following Course Ratings and Slopes:

Gold - 74.3 / 137
Blue - 70.4 / 133
White - 67.6 / 119

Dan pulled these off Heritage Isles' website scorecard, and although they are completely out of date, let's use them in an example.

Dan's handicap index is an outstanding 7.1, and the league has determined the White Tees are the baseline standard for our tournament (I mean, just look at those slopes!).

Dan takes the Course Handicap formula and correctly calculates his course handicap from each set of tees:

Gold - 137 / 113 * 7.1 = 8.6 rounded to 9.
Blue - 133 / 113 * 7.1 = 8.35 rounded to 8.
White - 119 / 113 * 7.1 = 7.47 rounded to 7.

Dan concludes he might as well play the "old man" tees since his handicap is only increasing by one on each set. This is exactly how we've calculated league handicaps since our beginning, and it's the correct way to do so if everyone was playing the same set of tees. But Dan failed to do the final step, which we all just discovered! He needs to take the difference in the Course Rating from each box, round it to the nearest number, and then add that to his previously calculated Course Handicap from that same box. He then has a fair adjustment for the event:

Gold - (74.3 - 67.6) = 6.7 rounded to 7. Add that 7 to the Gold Tees C.H. of 9 and you get 16.
Blue - (70.4 - 67.6) = 2.8 ~> 3 added to Blue Tees C.H. of  8 = 11.
White - (67.6 - 67.6) = 0 added to White Tees C.H. of 7 = 7.

So Dan actually DOES get a huge bump by moving back. Four extra strokes going to the Blues, and nine going to the tips! He might look at the scorecard and determine he'd have more fun playing back, and gladly take the extra strokes.

But it's important to note, NOT EVERYONE would get four strokes moving to the Blue Tees. Everyone would get at least three (70.4 - 67.6 always rounds to 3). But you add that to YOUR personal course handicap from that tee box. Some might even pick up 5 moving back. Scratch golfers would only pick up 3.

Make sense? Monday I'll also discuss why we're going to start using the ratings/slopes off the USGA database instead of scorecards. Assuming my lunch break allows...