The Los Angeles Handgun, Rifle, Air Pistol, Hunter/Field Pistol Silhouette Club

Return to the index to LASC

A collection of comments and articles on the many aspects of bullet casting by various cast bullet shooters
Cast Bullets For Beginner And Expert
SECOND EDITION, 2007 - Joe Brennan

Chapter 7.7 Cant

     (Cant in a short range handgun is not considered a problem, so this is about rifles.)

Cant is the tilting or rotation of a rifle about its long axis. Canting the rifle differently from shot to shot varies the point of impact of the bullet on the target. Rotating the rifle to the right moves the impact point to the right and down; rotating the rifle to the left moves the impact point to the left and down.

Bob Fitzgerald is one of the better and more reliable offhand shooters in the Old Colony Sportsman’s Association, and he holds the rifle at a substantial cant angle. Cant doesn’t bother his shooting because he holds the rifle at the same angle for each shot.

The most important thing to know about cant is that if the rifle is positioned the same for each shot, then there is no change of the impact point of the bullet from shot to shot.

More precisely, cant is the rotation of the rifle about the axis going through the sights and the center of the target. The shooter will keep the sights aligned with the center of the target, and canting will rotate the rifle about the line going through the sights and to the target. As the rifle is rotated the impact point of the bullet moves in a circle of radius = drop of the bullet and center at the zero cant impact point - drop. Let’s say that the drop is 6” over some range, and you have zeroed the rifle with no cant. Canting the rifle moves the bullet through a circle of 6” radius, and the center of the circle is 6” below the beginning, zero cant impact point.

Let R = radius and C = the cant angle in degrees, then horizontal deflection of the impact point = R  Sin C  and vertical deflection = -R-(R  Cos C.)

The movement of the impact point is a function of the bullet drop and the angle of cant.

For any cant angle up to 10 degrees or so, the amount of vertical shift is a small fraction of the horizontal shift, and can be ignored for most applications.

Drop is a function of muzzle velocity and the Ballistic Coefficient (BC) of the bullet, and is easily estimated on a personal computer using one of the ballistics programs that are readily available.

A plain base cast bullet has a typical BC of .4, and is fired at around 1400 feet per second (f/s.) That bullet will drop 9.5” in 100 yards and 1449” in 1000 yards.

Canting the rifle to the right, for example, moves the impact point to the right and down thus:

Cant (degrees) 100 yd 100 yd 1000 yd 1000 yd
  right” down” right” down”
1 .166 .001 25.3 .221
2 .332 .006 50.6 .883
3 .497 .013 75.8 1.986
4 '663 .023 101.1 3.530

A typical .30 caliber jacketed bullet might have a BC of .5 and muzzle velocity of 2700 f/s. That bullet will drop 2.5” at 100 yards and 414 inches at 1000 yards.

Canting the rifle to the right, for example, moves the impact point to the right and down thus:

From the charts it is clear that the downward or vertical shift in the impact point is a small fraction of the horizontal shift, and that the horizontal shift varies directly with the cant angle.

Cant 100 yd 100 yd 1000 yd 1000 yd
(degrees) right" down" right" down"
1 .044 .000 7.2 .063
2 .087 .002 14.5 .252
3 .131 .003 21.7 .568
4 .174 .006 28.9 1.009

 See above, 1 degree gets .044”, 2 degrees gets .087” which is twice .044”(forgetting rounding errors,) and so on. The horizontal shift at 5 degrees is 5 times the 1 degree shift.

Then forgetting the relatively small vertical shift, the horizontal shift resulting from canting the rifle 1 degree is simply a function of the bullet drop, thus:

Drop"  1  2  4  8  16  32 64 128 256 512 1024
Hor Shift .017 .035 .070 .140 .279 .558 1.12 2.23 4.47 8.94 17.9

Estimating the horizontal shift for any cant angle and any drop is done by interpolating and multiplying.

The horizontal shift caused by canting a rifle 3 degrees when the drop is 432 inches is estimated so:

to interpolate: 4.47”+((432”/256”) X 4.47”) = 7.5” = 1 degree cant horizontal shift then multiply: 7.5” X 3 = 22.5” = 3 degree cant horizontal shift.

Can't we estimate Level?

I made a rig to test people’s ability to estimate level. A 3 foot metal ruler, a screw/nut/washer, a big piece of cardboard and some figuring gave me a calibrated measuring apparatus. I set the rig up so that when the ruler touched the mark numbered 15, the ruler was level. I asked people to tell me to move the ruler up and down until they thought it was level, and then wrote the reading down. With 45 measurements the average was 14.67 and the standard deviation was .387. What this tells us is that people can estimate level pretty well. They were about 1/3 of a degree off on average (15-14.67), maybe because of the design of the test rig. The standard deviation was just under 4/10 of a degree, meaning that 68% of the time accuracy is +/- .4 degree, 95% of the time accuracy is +/- .8 degree, and 99% of the time accuracy is +/- 1.2 degrees.

My impression is that with a more precise and better designed apparatus, and with practice, the variation would be reduced-people are probably able to estimate level better than the results indicate.

Measuring cant

I set up to measure cant using two rifles, a Maynard #16 1882 and a C. Sharps M1885, with iron sights on both and a scope on the Sharps. A piece of plastic pipe, a nail, a bottle with a big envelope held on with a rubber band, a bench rest and some trig and we were off. It is setups like this that cause my wife to call one of the kids and talk a long time.

Maynard, 20 tests, looking at a blank piece of white paper.

Standard Deviation  .73 degrees  
Max Left Deviation .86 degrees  
Max Right Deviation 1.52 degrees  
 

Sharps 1875, 21 tests, Iron sights, looking at gray sky.

Standard Deviation

.41 degrees  

Max Left Deviation

.93 degrees  

Max Right Deviation

.69 degrees  
 

Sharps 1875, 20 tests, 30X STS, looking at gray sky

Standard Deviation .30 degrees  
Max Left Deviation .39 degrees  
Max Right Deviation .61 degrees  

The human eyeball can repeat level pretty well. Most of the time to within +/- one degree. And a flat or straight surface at the front sight aids that repeatability.

Concusions

Canting the rifle doesn’t matter as long as you do it the same for every shot.

Most of the time most people can tell what's level and repeat holding the rifle level so that cant doesn't matter much in the overall error equation.

For bench shooters, anti-cant devices solve the problem(if there is one.)

Black Powder long range and silhouette shooters love their spirit level front sights and believe that they can eliminate cant and increase accuracy using these sights. God bless them.

 

Top

 
 
Warning: All technical data mentioned, especially handloading and bullet casting, reflect the limited experience of individuals using specific tools, products, equipment and components under specific conditions and circumstances not necessarily reported in the article or on this web site and over which The Los Angeles Silhouette Club (LASC), this web site or the author has no control. The above has no control over the condition of your firearms or your methods, components, tools, techniques or circumstances and disclaims all and any responsibility for any person using any data mentioned.

Always consult recognized reloading manuals.

 

The Los Angeles Handgun, Rifle, Air Pistol, Hunter/Field Pistol Silhouette Club