# πΊοΈThe $GOLD Multiplier

The $GOLD Multiplier

The Kingdom will ensure all Guild members (NFT holders) earn more in-game $GOLD from the treasury for their loyalty to the crown. Long live the king!

Each players $GOLD multiplier will be calculated based on the **number of Guildies owned** by the player along with **Guildies' rarity/rarities**.

**There are a total of 8,888 Pixel Guild NFTs, ****and 4 Guilds****. Each Guild is made up of 2,222 NFTs.**

The $GOLD multiplier is calculated based on the two aspects mentioned above, and for any Guildie holder will **always be equal to or more than 3x, and can range all the way up to 5x**! Let's dive into the two aspects of the multiplier with a bit more detail:

**Guild Rarity -**This is how rare the NFTs are**within the Guild it belongs to**. Thus the Guild rarity rank of the NFT will always be betwen 1 (the rarest NFT within the Guild) to 2,222 (the least rare NFT within the Guild). The rarity ranking is used to calculate the rarity multiplier.**Number of NFTs held -**The more guildies held - up to a cap of 10 Guildies - the higher the $GOLD multiplier.

Once the **rarity** and the **holding*** (number of NFTs held) *multipliers are calculated, they are then multiplied by each other for the $GOLD multiplier.

$GOLD_{multiplier} = Holding_{multiplier} * Rarity_{multiplier} β

Both multipliers are valued equally, and both take values between $[\sqrt{3} -> \sqrt{5}]$β. Yes, rarity is worth something, and so too is holding multiple NFTs! Below each multiplier is individually explained, some base examples are shown, a graph of how the multiplier values vary, and most importantly - lookup tables to let you work out your $GOLD multiplier, are presented.

As long as player owns at least one Guildie, they will always have a $GOLD multiplier of at least 3x. Adding another guildie to the squad up to the cap of 10 will always ensure that the players $GOLD multiplier increases, as the holding multiplier can only increase.

#### Holding Multiplier

The Holding multiplier looks at how many Guildies are owned by the player, and from that number calculates it's value.

If the player owns one Guildie then the Holding multiplier will be $\sqrt{3}$β.

If the player owns 10 or more Guildies then the Holding multiplier will be $\sqrt{5}$β.

**Holding Multiplier Look up table:**

Guildies Held | Holding Multiplier |
---|---|

1 | 1.73 |

2 | 1.86 |

3 | 1.92 |

4 | 1.95 |

5 | 1.98 |

6 | 2.00 |

7 | 2.02 |

8 | 2.05 |

9 | 2.11 |

10 | 2.24 |

**Rarity Multiplier**

**Rarity Multiplier**

The Rarity multiplier looks at the Guildie with highest Guild Rarity that is owned, and uses the Guild Rarity ranking to calculate it's value.

A guildie with the highest Guild rarity (rank 1) will produce a Rarity multiplier of $\sqrt{5}$

**.**A guildie with the lowest Guild rarity (rank 2,222) will produce a Rarity multiplier of $\sqrt{3}$β.

Rarity Multiplier Lookup table:

Max Guild Rarity | Rarity Multiplier |
---|---|

1 | 2.24 |

222 | 2.11 |

444 | 2.05 |

666 | 2.02 |

888 | 2.00 |

1110 | 1.98 |

1332 | 1.95 |

1554 | 1.92 |

1776 | 1.86 |

2222 | 1.73 |

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