Typically you want the bhn of the alloy to be no more than the velocity of the load divided by 100. This is nothing more than a place to start.
When casting pure lead or close to pure lead fill out can become an issue. You want sharp/crisp edges on the grease grooves and the bullets base. The other thing you need to keep an eye on is pure lead will cast a smaller in diameter bullet compared to an alloy with tin/antimony in it.
There's a bunch of ways to get where you're going. I do most of my casting with nothing more than range scrap making 100#+ batches of ingots/finished alloy at 1 time doing the large batches aids in keeping the alloy consistent batch after batch. Since I started testing the alloy (1990??) it's always been 8/9bhn. I feel that I'm extremely lucky to have such large quantities of this alloy to use. It makes excellent blammo ammo bullets, hp bullets that perform in the 800fps to 1200fps range depending on what hp pin/shape/size I use.
That 8/9bhn range scrap used to cast 148gr hbwc's shot out of a 6" bbl'd ppc revolver with a 800fps+ load.
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Was playing around on the bowling pin table, you want to hit the bowling pins in the label. Doing so drives them strait back, the recovered bullet.
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Another hbwc cast from that same 8/9bhn, a 220gr 44cal hbwc shot into wetpack in a snubnosed revolver doing +/-1000fps.
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Another 44cal/1000fps bullet using the same alloy, a 210gr hollow point hollow based swc
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A side view of the same bullet, note how short the bullets body is. Not only did the hp expand the bullet's base expanded.
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Tin is your friend when it comes to making soft nosed bullets along with aiding in bullet fill out when casting and increasing the bullets diameter. The alloy I use (8/9bhn range scrap) does pretty good with low velocity hp's and solid nosed bullets up to 1700fps+. Then I have to start babying the loads due to the alloy blowing out/can't take the pressures and rotational torques of the hotter loads.
It was a little bit of a struggle for me when looking/testing alloys for 30cal hunting bullets that would work in the 2000fps+ range. I'd make up a pot of an alloy and then cast 3/4 different bullet designs and then load them up using 2/3 different powders. Head to the range and shoot them over a chronograph in targets @ 100yds. Then I'd go down range and dig them out of the berm. This is what they looked like.
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As you can see there are a lot of broken off/shattered noses, not good/too brittle of an alloy. I ended up with the alloy used for that 2300fps bullet, the load was a 50,000psi+ load for that bullet.
Don't know if you powder coat or not but pc'ing bullets opens a lot of doors that traditionally cast/lubed bullets couldn't go thru. You could cast pure lead bullets and simply pc them. The pc will not only make them a larger diameter (typically 2/1000th's) a push thru sizer will true up the bullets base and drive bands. The tip of the bullet did break off, the bullets bend was hit by another bullet making the crater.
That hunting bullet alloy is:
#15 pure lead
#3 foundry type
#1 50/50 soldier
6% tin 3.75% antinomy 91% pure lead 14bhn
For a general hv (2600fps+) rifle bullet alloy I use:
#12 pure lead
#3 mono type
#1 50/50 soldier
5.25% tin 4.75% antimony 90% pure lead 14bhn
Anyway, there's a place to start.