Tales of Graces F

Oh, totally unrelated question. When you dualize weapons a bunch, you can sometimes increase their minimum and maximum CC. According to various in-game tips, it says that it's "related to tempering boost", and also that it's "based on the value of your weapon". From what I could tell, focusing on using a high tempering boost quality seemed to increase maximum CC quite often, while using the 6 and 7-letter qualities (which tend to add more inheritence) seemed to increase minimum CC more often. Either way, this is all speculation based on my own observations, so if you know more that'd be wonderful.

There's not a lot of information about it that I can find, but what you've found seems to be the correct trend though nothing noting anything about inheritance.
http://www23.atwiki.jp/talesofgracesf/pages/116.html

There's a chart here describing the minimum and maximum CC achieved on almost every weapon when getting it to +99 with Perilous (which has the highest inheritance, could be related) and Guyabulous, and the number of Guyabulous Shards required to get that bonus. Judging by the results, it would seem that the weapon's "rank" determines how much of a bonus is possible. i.e. a Long Sword has base 5~7, and can achieve 9~19, an increase of 4~12, whereas the Disintegrator has base 9~20 and can only reach 13~22, an increase of 4~2. Again, I'm not too sure on the specifics of this. I would imagine that Tempering Bonus sums up to assist in the increase of CC though.
It states in red that in the case of Guyabulous, it was required for the Tempering Bonus to reach +30 (?) before minimum CC increased.