Just wanted to share a quick tool a made a while back for calculating through dragon orbs.
Application is quite simple and should speak for itself. If not, leave a reply and we'll see if we can figure something out.
Simply fill in your current and wanted refine level in the top, and click calculate.
Alternatively you can fill in the need and have fields below, and use the calculate button in the bottem right.
This will show you how many of each orbs you need.
NOTE: it calculates through to 1 star.
For 1 item from +0 to +12 you'd put 1 in 1 star need, 1 in 2 star need ... 1 in 12 star need. When you click calculate it'll say you need 10140 1 stars, you do not need any 2 stars, you use these 1 stars to craft them.
If you would already have some, add those to the have field and click calculate, the system will recalculate how many 1 stars you need to fill the rest.
When you've filled everything in, (say you have nothing but 1 stars), the system will tell you you need to craft 2028 2 star orbs, then 851 3 star, 325 4 star etc.
When done all that, you'd end up with whatever is in the need fields before clicking calculate.
Link to executable:
For people easily scared by exe's downloaded by the internet (AS YOU SHOULD), here's the source.