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Rarity of Set and Unique Items





Contents
Rarity and Qlvl
Multiple Set Versions
Multiple Unique Versions
Tal Rasha's Adjudication



Rarity and Qlvl

Every set and unique item has a designated rarity, i.e. drop frequency if the corresponding base item was chosen for the drop, and the roll for set or unique quality passed. Clearly then, rarity only matters if the base item has multiple set or unique versions, of which at least two can drop. If you have installed ATMA, you can find the relevant data in SetItems.txt and UniqueItems.txt (using values for v1.11; there were no drop mechanical changes in v1.12).

Level Terms
clvl - character level
ilvl - internal level ("item level")
mlvl - monster level
qlvl - base item quality level
Qlvl - set or unique item quality level

For monster drops, ilvl = mlvl, always.

ilvl vs Qlvl
If an Amulet is picked and the quality roll comes out unique, the game proceeds to
  1. Look up all available unique Amulets, based on the ilvl (= mlvl, if a monster dropped it), excluding those with Qlvl > ilvl.
  2. Choose randomly between those satisfying ilvl >= Qlvl, according to rarity.
  3. Drop the result (unidentified).
Differences in rarity (higher ~ more common) and Qlvl explain why more than every 4th Amulet is a Nokozan Relic while only 1 of 38 ilvl 85+ unique Amulets will be a Metalgrid. See the second table below.

Gambling
Code
ilvl = clvl - 5 + rnd(10)  ,  capped below at 5 and above at 99

From this, it should be impossible to gamble a particular set or unique any sooner than clvl = max{qlvl,Qlvl} - 4. Note that class-specific items are not available for gambling, with the exception of Assassin Claws.


Multiple Set Versions
  • Set pieces belonging in the same set share the same Qlvl.
  • The same set item can drop more than once in one game.
The table lists minimum and maximum odds, given that a set item of the proper type (*item) was dropped.

Code
index                       *item              qlvl      rarity      Qlvl      min%  (ilvl)       max%  (ilvl)

Civerb's Icon               Amulet             1         7           13        15.5  (39+)       100    (13-14)
Cathan's Sigil              (amu)                        7           15        15.5               50    (15-16)
Angelic Wings                                            7           17        15.5               33.3  (17-18)
Vidala's Snare                                           7           19        15.5               25    (19)
Arcanna's Sign                                           1           20         2.2                3.4  (20)
Iratha's Collar                                          7           21        15.5               19.4  (21-25)
Tal Rasha's Adjudication                                 1           26         2.2                2.7  (26)
Tancred's Weird                                          7           27        15.5               15.9  (27-38)
Telling of Beads                                         1           39         2.2                2.2  (39+)

Cathan's Seal               Ring               1         7           15        70    (17+)       100    (15-16)
Angelic Halo                (rin)                        3           17        30                 30    (17+)

Infernal Cranium            Cap                1         7            7        70    (20+)       100    (7-19)
Sander's Paragon            (armo3)                      3           20        30                 30    (20+)

Cow King's Hooves  1)       Heavy Boots        7         7           20        50    (20+)        50    (20+)
Sander's Riprap             (armo9)                      7           20        50                100    (20+)

Hsarus' Iron Stay  2)       Belt               12        7            4        50    (28+)       100    (4-27)
Hwanin's Blessing           (armo12)                     7           28        50                 50    (28+)

Arctic Mitts  2)            Light Gauntlets    20        7            3        50    (21+)       100    (3-20)
Iratha's Cuff               (armo21)                     7           21        50                 50    (21+)

Infernal Sign  2)           Heavy Belt         20        7            7        50    (21+)       100    (7-20)
Iratha's Cord               (armo21)                     7           21        50                 50    (21+)

Iratha's Coil  2)           Crown              29        7           21        50    (23+)       100    (21-22)
Milabrega's Diadem  2)      (armo30)                     7           23        50                 50    (23+)


1) These can drop only in the Secret Cow Level. Set Heavy Boots from anywhere outside will be Sander's Riprap.
2) Notice: qlvl > Qlvl. In general, there is no relation between qlvl and Qlvl. The qlvl determines in which
   item Treasure Class (TC) the base item belongs. The Qlvl is used to verify if the set drop was successful.

   To keep it simple, consider a few examples from Normal. Radament is mlvl 19 and drops from TC 27. Mephisto
   is mlvl 26 and drops from TC 33.

   To drop the base item, TC must be >= qlvl. And to drop the set version, ilvl (= mlvl) must be >= Qlvl.

   TC 27 contains armo21 (any kind of armor with qlvl 19-21). Hence, Radament can drop Arctic Mitts (Qlvl 3)
   and Infernal Sign (Qlvl 7). His mlvl (19) restricts him from dropping Iratha's (Qlvl 21).

   Crown (qlvl 29) belongs in armo30 which is contained in TC 33. Hence, Mephisto {mlvl 26} can drop either
   set Crown (Qlvl 21,23).

Failed set
Even when the check for set quality passes, it may happen that
  • There are no set items to pick
    a. The base item has no set version.
    b. ilvl < Qlvl (in the case of multiple set versions, the lowest Qlvl).
Regardless, the game tosses a double durability magic item, a "failed set". For details on the item quality selection process, see Aye's Guide to the Basics of MF.


Multiple Unique Versions
  • A specific unique item can drop only once in each game.
    So, you may get more than one Ring, but only one Raven Frost.
The following table is the unique equivalent to the table from the preceding section.

Code
index                       *item              qlvl      rarity      Qlvl      min%  (ilvl)       max%  (ilvl)

Nokozan Relic               Amulet             1         20          14        26.6  (85+)       100    (14-19)
The Eye of Etlich           (amu)                         5          20         6.6               20    (20-33)
The Mahim-Oak Curio                                      10          34        13.3               28.5  (34-54)
Saracen's Chance                                          5          55         6.6               12.5  (55-57)
The Cat's Eye                                             5          58         6.6               10    (58-59)
Crescent Moon                                             5          58         6.6               10    (58-59)
Atma's Scarab                                             5          60         6.6                9.0  (60-72)
Seraph's Hymn  3)                                         3          73         4                  4.4  (73-79)
The Rising Sun                                            5          73         6.6                7.3  (73-79)
Highlord's Wrath                                          5          73         6.6                7.3  (73-79)
Mara's Kaleidoscope                                       5          80         6.6                6.8  (80-84)
Metalgrid  3)                                             2          85         2.6                2.6  (85+)

Nagelring                   Ring               1         15          10        25.4  (84+)       100    (10-19)
Manald Heal                 (rin)                        15          20        25.4               50    (20-38)
The Stone of Jordan                                       1          39         1.6                3.2  (39-52)
Dwarf Star                                               10          53        16.9               19.6  (53-65)
Raven Frost                                              10          53        16.9               19.6  (53-65)
Bul Kathos' Wedding Band                                  1          66         1.6                1.9  (66-67)
Carrion Wind                                              3          68         5.0                5.4  (68-76)
Nature's Peace  3)                                        3          77         5.0                5.1  (77-83)
Wisp Projector                                            1          84         1.6                1.6  (84+)

Rainbow Facet  4)           Jewel              1          1          85        12.5  (85+)        12.5  (85+)
                            (jew)

Nightwing's Veil            Spired Helm        79         1          75        50    (77+)       100    (75-76)
Veil of Steel               (armo81)                      1          77        50                 50    (77+)

Templar's Might             Sacred Armor       85         8          82        88.8  (87+)       100    (82-86)
Tyrael's Might  3)          (armo87)                      1          87        11.1               11.1  (87+)

Heaven's Light  3)          Mighty Scepter     62         1          69        50    (80+)       100    (69-79)
The Redeemer                (weap63)                      1          80        50                 50    (80+)

Lightsabre                  Phase Blade        73         5          66        83.3  (87+)       100    (66-86)
Azurewrath  3)              (weap75)                      1          87        16.6               16.6  (87+)

Horizon's Tornado           Scourge            76         5          72        83.3  (86+)       100    (72-85)
Stormlash                   (weap78)                      1          86        16.6               16.6  (86+)

Stone Crusher               Legendary Mallet   82         4          76        80    (83+)       100    (76-82)
Schaefer's Hammer           (weap84)                      1          83        20                 20    (83+)

Earth Shifter               Thunder Maul       85         1          77        50    (85+)       100    (77-84)
The Cranium Basher          (weap87)                      1          85        50                 50    (85+)


3) Ladder Only.
4) 2 of each element (Cold, Fire, Lightning, Poison), each having rarity 1; min% and max% refer to a specific one of these.
   The odds of obtaining a -5/5 Rainbow Facet are 1 in 9 (~ 11.1 %); 1 in 72 (~ 1.4 %) if we further demand a specific one.

Failed unique
Similar to set items, it is possible to have the check for unique quality pass and yet
  • There are no unique items to pick
    a. ilvl < Qlvl.
    b. The base item has no unique version.
    c. There is no unique left for the base item; the available unique(s) already spawned.
In response, the game drops a triple durability rare item, a "failed unique". Again, refer to Aye's Guide to the Basics of MF.

Suppose, for instance, we mess around in Nightmare and the Goddess of Fortune decides to give us a Nagelring and a Manald Heal. Amazed by our luck, we head straight for Andariel {mlvl 49}. Notice, IF a Ring is chosen for the drop AND the unique roll passes, the odds of selecting The Stone of Jordan in this scenario are 1:31 regardless. Spawned uniques are not removed from the selection process, only from the final drop process at the end. The remaining 30:31 occupied by Nagelring and Manald Heal would now result in a (triple durability) Ring, a failed unique.

Technically speaking, it is therefore increasingly difficult to have multiple unique Rings drop in the same game.

But the essential point remains: IF a Ring did drop in the above scenario, then it had to be The Stone of Jordan, since it was the only one left.


Tal Rasha's Adjudication

+2 to Sorceress Skill Levels, +50 to Life, +42 to Mana, and Lightning Resist +33 %, with a Qlvl of 26.

Wait, let's repeat that once more, so that nobody could possibly miss the point ... +2 to Sorceress Skill Levels on an Amulet which could be found in the middle of ... Normal !?!? :blink: Yes, mlvl 26 is all it takes, so even the High Council {mlvl 28} or Mephisto {mlvl 26} could drop it in Normal. However, rarity 1 leaves the odds against us; an ilvl 26+ Amulet has just ~ 2-3 % chance of being Tal Rasha's Adjudication.


For the crazy dedicated item hunters who cannot get enough of item statistics, google
  • Item Generation Tutorial for Patch 1.11, by Warrior of Light @ diii.net
Or check out Diablo 2 Technical Information @ the (Amazon) Basin Wiki.
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May 1 2009 07:01am
wtf new topic?
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May 1 2009 07:03am
Fixed the first row containing Lightsabre in the previous thread, hence this repost.

The tables should be completely error-free now.

This post was edited by Faelwen on May 1 2009 07:23am
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May 1 2009 07:04am
I just found an error, but I'm not going to tell you where it is
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May 1 2009 07:06am
Quote (franek @ Fri, 1 May 2009, 15:04)
I just found an error, but I'm not going to tell you where it is

You can drop me a PM if you find any errors.
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May 1 2009 07:10am
Quote (Faelwen @ Fri, May 1 2009, 01:06pm)
You can drop me a PM if you find any errors.
I just found another one, but I'm not gonna drop you a PM

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May 1 2009 07:11am
Found an error, PM'd franek about it
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May 1 2009 07:11am
Just received a PM with an error in this guide. I'm not going to tell you though
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May 1 2009 07:14am
Just found out Franek is an error. Deleted him.
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Just found out I was an error. I got dele...
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