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Enchanting Table

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Enchanting Table

How the Enchanting Table picks the three offered levels from nearby Bookshelves, what each offer costs, and how the enchantments themselves are chosen.

How it works

What can be enchantedAn item that has an enchantability value (see the table) and no enchantments yet. A Book becomes an Enchanted Book.
Bookshelf spots32 spots count: the ring of blocks exactly 2 blocks away from the table (the outer edge of a 5 by 5 square with the table in the middle), on the table's own layer and on the layer above.
Which blocks countOnly the Bookshelf.
The gapThe block halfway between a Bookshelf and the table (one block inward, diagonally inward for a corner spot) must be one of: Air, Water, Lava, Short Grass, Fern, Dead Bush, Bush, Red Shrub, Short Dry Grass, Tall Dry Grass, Seagrass, Tall Seagrass, Fire, Soul Fire, Snow, Vines, Glow Lichen, Resin Clump, Light, Tall Grass, Large Fern, Structure Void, Bubble Column, Warped Roots, Nether Sprouts, Crimson Roots, Leaf Litter, Hanging Roots. Air includes Cave Air and Void Air.
Bookshelf limitUp to 32 Bookshelves can stand in valid spots, but at most 15 are counted.
Base numberFor each slot the game rolls a base number: 1 to 8, plus half the Bookshelf count rounded down, plus 0 to the Bookshelf count. Each slot rolls its own base number.
Top slot levelOne third of the base number, rounded down, but at least 1.
Middle slot levelTwo thirds of the base number, rounded down, plus 1. If this is below 2 the slot stays empty.
Bottom slot levelThe base number or twice the Bookshelf count, whichever is higher. If this is below 3 the slot stays empty.
Cost of each slotTop slot: 1 Lapis Lazuli and 1 level. Middle slot: 2 Lapis Lazuli and 2 levels. Bottom slot: 3 Lapis Lazuli and 3 levels.
Level neededThe player needs at least the level shown on the slot, but only 1, 2 or 3 levels are taken. Players in Creative mode need no Lapis Lazuli and no levels.
Same offersEach player has a stored enchanting number. It changes only when that player enchants at a table, so taking an item out and putting it back shows the same offers and gives the same enchantments.
Modified levelThe slot level is raised by 1, plus two separate rolls of 0 to a quarter of the item's enchantability (rounded down). The result is then changed by a random amount of up to 15% up or down (small changes are most likely), rounded, and is at least 1.
Which enchantments can appearOnly enchantments that are not treasure enchantments: on an item, only those meant for that item; on a Book, all of them. Never offered: Curse of Binding, Curse of Vanishing, Frost Walker, Mending, Soul Speed, Swift Sneak, Wind Burst.
Level of each enchantmentFor each possible enchantment the game takes the highest level whose range in the last table contains the modified level. If no range contains it, that enchantment cannot appear.
First enchantmentOne enchantment is picked from the possible ones at random by weight: an enchantment with weight 10 is 10 times as likely as one with weight 1.
Extra enchantmentsAfter each pick there is a chance of (modified level + 1) in 50 to add another. Enchantments that conflict with the last pick are removed from the choices first, and the modified level is halved (rounded down) after each extra pick.
BooksIf a Book would get more than one enchantment, one of them is removed at random.
The hintHovering over a slot shows one enchantment and its level followed by ". . . ?". It is always one of the enchantments that slot gives, picked at random from them.

Offered levels by Bookshelf count

01 to 22 to 6, or none3 to 8, or none
11 to 32 to 7, or none3 to 9, or none
21 to 32 to 84 to 11
31 to 42 to 96 to 12
41 to 43 to 108 to 14
51 to 53 to 1110 to 15
61 to 53 to 1212 to 17
71 to 63 to 1314 to 18
81 to 64 to 1416 to 20
91 to 74 to 1518 to 21
102 to 75 to 1620 to 23
112 to 85 to 1722 to 24
122 to 85 to 1824 to 26
132 to 95 to 1926 to 27
142 to 96 to 2028 to 29
152 to 106 to 2130

Enchantability

Wooden swords, spears and tools15
Stone swords, spears and tools5
Copper swords, spears and tools13
Iron swords, spears and tools14
Golden swords, spears and tools22
Diamond swords, spears and tools10
Netherite swords, spears and tools15
Leather armor15
Copper armor8
Chainmail armor12
Iron armor9
Golden armor25
Diamond armor10
Netherite armor15
Turtle Shell9
Mace15
Book1
Bow1
Crossbow1
Fishing Rod1
Trident1

Weight of each enchantment and the modified levels that give each of its levels

Aqua Affinity21 to 41----
Bane of Arthropods55 to 2513 to 3321 to 4129 to 4937 to 57
Blast Protection25 to 1313 to 2121 to 2929 to 37-
Breach215 to 6524 to 7433 to 8342 to 92-
Channeling125 to 50----
Density55 to 2513 to 3321 to 4129 to 4937 to 57
Depth Strider210 to 2520 to 3530 to 45--
Efficiency101 to 5111 to 6121 to 7131 to 8141 to 91
Feather Falling55 to 1111 to 1717 to 2323 to 29-
Fire Aspect210 to 6030 to 80---
Fire Protection510 to 1818 to 2626 to 3434 to 42-
Flame220 to 50----
Fortune215 to 6524 to 7433 to 83--
Impaling21 to 219 to 2917 to 3725 to 4533 to 53
Infinity120 to 50----
Knockback55 to 5525 to 75---
Looting215 to 6524 to 7433 to 83--
Loyalty512 to 5019 to 5026 to 50--
Luck of the Sea215 to 6524 to 7433 to 83--
Lunge55 to 2513 to 3321 to 41--
Lure215 to 6524 to 7433 to 83--
Multishot220 to 50----
Piercing101 to 5011 to 5021 to 5031 to 50-
Power101 to 1611 to 2621 to 3631 to 4641 to 56
Projectile Protection53 to 99 to 1515 to 2121 to 27-
Protection101 to 1212 to 2323 to 3434 to 45-
Punch212 to 3732 to 57---
Quick Charge512 to 5032 to 50Never (52 is above the highest, 50)--
Respiration210 to 4020 to 5030 to 60--
Riptide217 to 5024 to 5031 to 50--
Sharpness101 to 2112 to 3223 to 4334 to 5445 to 65
Silk Touch115 to 65----
Smite55 to 2513 to 3321 to 4129 to 4937 to 57
Sweeping Edge25 to 2014 to 2923 to 38--
Thorns110 to 6030 to 8050 to 100--
Unbreaking55 to 5513 to 6321 to 71--
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