Rare
The first sat of each difficulty adjustment period: the first sat of a block whose height is a multiple of 2,016, other than every 1,260,000th.
How a sat qualifies
Bitcoin retargets its mining difficulty every 2,016 blocks. Ordinal theory makes the first sat of each of these periods rare: the sat with offset 0 in a block h where h is a multiple of 2,016.
Tiers are exclusive, and a sat keeps only its highest. A height that is a multiple of both 2,016 and 210,000 is a multiple of 1,260,000, the start of a cycle, so its first sat is legendary (or, at block 0, mythic), not rare. Every other multiple of 2,016 gives a rare. Halving blocks that are not cycle starts are not multiples of 2,016, so an epic sat is never also rare.
The first rare sat is sat 10,080,000,000,000, the first sat of block 2,016. A rare is also never counted as uncommon, although it is the first sat of its block.
Its neighbour
The sat just before each rare is the last sat of the period's final block: a black rare. Each rare has exactly one, so the two categories always have the same total.
Why collectors care
Only one block in 2,016 starts with a rare. Some rares also carry other types: sat 50,400,000,000,000, the first sat of block 10,080, is a rare that is also a Kilosat uncommon (a milestone sat), and many are alphas.
How many
Will ever exist: 3,432. Mined so far: 482. Extracted, held alone in small outputs: 165. The rares of 2009 are on the Rare category filtered to that year (see 2009).
Supply and market
| Category | Will exist | Mined | Extracted | Last sale | Floor |
|---|---|---|---|---|---|
| Rare | 3,432 | 482 | 165 | 6,999,454 sats | 8,899,670 sats |
As of block 972,427. Prices are per sat.