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A long time ago, I heard somewhere that item stat ranges can be calculated thus:
average stat +- [floor(average stat/10) + 1]
So a white valentine rose, with 49 average attack, has a range of
49 +- [floor(49/10) + 1]
49 +- 5
44~54 att.
Also, items gained from Gachapon have a stat range of:
average stat +- [floor(average stat/10) + 3]
These formulas have been consistent with all items I've encountered, but I just wanted to know if these have ever been confirmed. Anyone know?
Posting Freak
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Doesn't work out.
100 attack +/- [floor(100/10)+1]
100 +/- 11 attack.
89~111 attack.
What?
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The range is determined by the item's level. A higher level item will have a higher range. That's as far as the BMS files will tell me.
Posting Freak
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There were some slight inconsistencies with this formula. The one that comes to mind is Scarabs possibly having up to 39 w.atk clean (34 average) though I can't recall ever finding one like that myself.
Anyway, yeah, it's supposedly like that up until +-5 from average stats, before BB the most you could get outside gachapon. After BB, I dunno. I check my items' stats before dropping/NPCing them but I haven't seen anything amiss on a stat that counts.
And I don't think Gacha can add as much stats as you said, though there's a strong lack of info on items with 10~40 stats.
PACs 2 watk average, max +2 (4 atk)
PGCs 3 watk average, max +2 (5 atk)
PuACs 7 matk average, max +2 (9 matk) etc.
Higher level weapons, max +7 (eg. Sky Skis, 94 atk, max 101?)
Post-Item Maker it's impossible to tell what drops or comes from gach on weapons that can be makered - they forge up to +11 (with adv. bc/diamond and good luck).