Scoring

Trait odds

For each trait, we count how many hex codes match it across the entire space:

P(trait) = matches ÷ 16,777,216

Displayed odds are the reciprocal, rounded: 1 in round(1 ÷ P). Example: CSS 3-digit shorthand (#RGB) covers exactly 4,096 colors, so 3-Digit Hex is 1 in 4,096 (weight 22).

Tiers & XP

Empirical odds map onto a rarity weight used for tiers and XP:

weight = round(6 × log₁₀(1 in X))

Trait XP is weight × 10. Badge XP is weight × 15. Your daily total is the sum of every trait and badge on that roll.

• Common weight ≥ 0 · about 1+ odds
• Uncommon weight ≥ 6 · about 10+ odds
• Rare weight ≥ 10 · about 46+ odds
• Epic weight ≥ 14 · about 215+ odds
• Legendary weight ≥ 19 · about 1k+ odds
• Mythic weight ≥ 25 · about 15k+ odds
• Chromatic weight ≥ 36 · about 1M+ odds

Color rarity & weirdness

A roll’s headline 1 in X starts from its rarest matched trait (exact under uniform rolls). Other traits, at least 1 in 100, add a soft log-space boost.

Weirdness is that estimate plotted on a 0–100 log scale toward the full 16,777,216 space. It is a readability score for the odds, not a separate measurement.

Badges

Badges are achievements on top of traits: exact hex hits, trait density, tier seals, meme combos, and rarity milestones. They use their own fixed weights, then the same tier and XP curves as traits.

Rarest traits

• Cube Corner1 in 2,097,152
• Hex Lexeme1 in 1,398,101
• Mono Digit1 in 1,048,576
• Full Hex Run1 in 524,288
• Binary Looking1 in 262,144
• Quarter Step1 in 262,144

Most common traits

• Rainbow Digits1 in 1
• High Black Contrast1 in 2
• Warm Hue1 in 3
• Sequential Pairs1 in 3
• Midtone1 in 3
• Full Spectrum Digits1 in 3