The basic problem of internal ballistics is to balance the production of hot combustion gasses against obtaining the desired bullet muzzle velocity and group size.
In general, the shape and the chemical composition of powder controls how the powder burns. Burn rates aren't specific numbers, they are relative to other powders. In other words, when you choose a powder with a certain burn rate, you are simply saying that the powder burns faster or slower than some other powder.
Powder composition – single base, double, base, etc.
Powder definition of configuration – progressive, degressive, neutral.
Pressure/distance curve
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Burn rate is directly related to the rising portion of the pressure/distance (or time) curve. The amount of surface area of each kernel of powder controls the burn rate.
A higher burn rate indicates that the pressure will rise quicker but it doesn't tell the whole story about pressure and velocity.
Progressiveness is the definition of the configuration of the powder and it controls the tail of the pressure/distance curve.
Progressiveness is a measure of how much hot gas is produced as the powder burns. A more progressive powder produces more hot gas as the mass of powder burns away. A degressive powder produces less hot gas as the mass of powder burns away. A neutral powder produces the hot gas as the mass of powder burns away.
A progressive powder results in a lower peak pressure that is later in time and a higher muzzle pressure compared to either a neutral or a degressive powders.
So changing;
Amount of surface area (more or less powder or the shape of the powder granules)
Powder configurations (progressiveness)
...will result in a variety of combinations of pressure peak locations and muzzle pressures while producing the same muzzle velocity (assuming that you use the same bullet and powder charge).
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Grain size controls surface area and changes in surface area produce changes in the pressure curve. A large grained powder (assuming the same amount of powder being used) will be more progressive and it will produce the max pressure later in the burn time curve and the muzzle pressure will be higher.
Like all things, there are trade-offs when you choose a powder. Slower, more progressive powders produce higher energy levels (because the pressure curve stays higher longer in time) and higher energy levels produce higher velocities. Unfortunately, slower powders are less efficient than faster powders and less efficient powders produce larger velocity variations and larger velocity variations produce bigger groups on target. So the goal would be to find the slowest, progressive powder that produces the velocity and group size that you want and that will fill to the highest density that will fit in your case.