Gambling

[Crystalion]

The screwy part with the circlets, coronets, tiaras and diadems is the way the upgrade codes were set for each of the four items. 
circlet::circlet->tiara->diadem
coronet::coronet->tiara->diadem
tiara::coronet->tiara->diadem
diadem::coronet->tiara->diadem

While both the circlet and coronet show the same upgrades, the resulting item will use the graphic of the first item after the "::" to display the item on the gambling screen.  So even if the game started by picking a circlet and then upgraded it to a tiara or diadem, the display would then show circlets as circlets and the other three types as a coronet.

(the answer to the "Sorry I do not follow what you are trying to state here?" part is that I was merely pointing out that when you've not seen a base item before, gambling, and level up, the first ones you see are clvl+4. A trivial point but important for non-coronets/circlets because at that point the alvl is the worst possible, and so the gamble for them isn't great, *unless* you're planning to craft or reroll and knowing the ilvl is clvl+4 is a benefit, e.g. for a base item you can't otherwise easily obtain/shop).

Yes, I know about the oddity with the Coronet display (no doubt from reading you detailing it long ago?) and in fact came up with a Bayesean argument to only buy Coronet gambles when pairs (or more) of them are showing. The probably slight edge involved here is no doubt dwarfed by the time loss in doing so many gamble screen refreshes, but as such gambles are quite costly (relative to the total amount of gold you're likely to have to gamble with) I thought it couldn't hurt.

Ignoring the details here it probably still is relevant to have him add to his summary that one should not gamble circlets expecting to get diadems/tiaras (ever).