What are the best 2 or 3 wind speeds to put into the printed data chart?
This winter I got a new rifle and have doped it out to distance.
I am also making paper charts for it. I started to ask what are the best 2 or 3 wind speed to put into the printed data chart? So I sat down to figure this out.
Recently I have observed a lot of shooters putting down their
Gun Mile Per Hour speed. Why would you do that? The purpose of the Gun MPH if be able to easily memorize these numbers. This means there is not reason to write them in the chart. I am guilty of this, I used to do it too.
Most shooters want to put 5-10-15mph on their charts, but I don’t think this is the best answer. Especially if we are shooting small targets at further distances. If we have
one of these values (5,10, or 15mph) in our chart we can get the other values. For example, if 5mph is in the chart we can double it’s hold to get 10mph and triple the hold to get 15mph. Wind, as a function of speed, is a linear value. 5-10-15-20 or 2-4-6-8-10 can all be calculated by adding multiples of a written speed.
I listed out the possible options in the table below. I decided to focus on wind speed 30mph and less and wanted to limit the chart speed to 10mph maximum.
In the chart above you can see the values of 1mph and 2mph (by dividing 2 in half) can be used to find a wind hold for every wind speed. But, using such a small value allows for compounding errors when multiplying by a large wind speed. If we used 1mph chart value and have an 18mph wind speed, we could multiply a small error 18 times and get a wrong wind hold.
Example of Error induced by using a small speed value
1mph hold = 0.22mil - Actual 18mph hold = 18x0.22=3.96mil,
1mph Chart Value = 0.2mil - Chart 18mph hold = 0.2x18=3.6mil
Our error is 0.4mil due to rounding errors. This is an easy target miss at any range.
To avoid this rounding issue we can use larger values like 10mph and use a percentage of it.
10mph hold = 2.23mil - Actual 18 mph Hold = 2.23 x 1.8 = 4.01mil
10mph Chart value = 2.2 - Chart 18mph Hold – 2.2 x 1.8 = 3.9 mil (1.8 comes from 18mph/10mph)
Error is 0.1mil
But rather than deal with multiplying by 1.8: Can I use a different value to get there? If I had 6mph in the chart I could use 6mph hold time 3 (6mph x 3 = 18mph)
6mph hold = 1.34mil - Actual 18mph Hold = 1.34 x 3 = 4.02mil
Chart value = 1.3 Mil - Chart 18mph Hold = 1.3 x 3 = 3.9mil.
Error= 0.1 mil
Having 6mph available in the chart is an advantage to do faster, easier mental math.
So the question is what 2 or 3 wind speeds should I use to get the best chance at using a simple multiple of a number to get to the most available wind speeds. 6-8-10mph have proven to the be the most effective as pointed out in the chart below. There are 12 single value wind speeds that cannot be easily calculated if you have 6-8-10mph in our chart (40%). Seven of these numbers are Prime numbers. This means only 1 and half of 2 (1) can be used to find them and as pointed out above that’s not a good idea due to the rounding errors. This leaves 5 values that I cannot easily do a multiple of. That pretty darn good.
If we allow the wind speed holds in the chart to be divided further in to 1/3s or 1/4s we can reduce this to 1 value that I cannot easily multiply (plus the 7 Prime Values) and that is a 1mph wind speed. This means we are covering every possible speed between 1 and 30 except 1 (plus the 7 prime values). This is nearly a perfect condition.
I will be using 6-8-10 mph in my wind chart from here forward. It makes mathematical sense.