Ordinal Kardashev Scale

The Ordinal Kardashev Scale is a ordinal version of the Transversal Kardashev Scale. And it works better. It is used to measure how powerful a civilization or Cosmic Entity is.

• Define a Verse that has no other verses in it as a Order-0 Verse, such as the Universe.
• Define a Verse that has Order-0 Verses in it as a Order-1 Verse, such as the Multiverse.
• Define a Verse that has Order-$\alpha$ Verses in it as a Order-($\alpha+1$) Verse.
• If a Verse as multiple orders of verses inside it, say it has the most common one.

Numbers on the scale and what they mean

• 1 controls an Order-0 verse.
• $\alpha$ controls $\alpha$ Order-0 verses.
• $\omega$ controls an Order-1 verse.
• $\alpha \omega$ controls $\alpha$ Order-1 verses.
• $\omega^{\alpha}$ controls an Order-$\alpha$ verse.
• $\beta \omega^{\alpha}$ controls $\beta$ Order-$\alpha$ verses.

You can also add them, like:

A Civilization or entity with OKS $2 \omega^2 + 4 \omega + 7$ controls:

• 2 Order-2 Verses
• 4 other Order-1 Verses not contained in either of the Order-2 Verses
• And 7 Order-0 Verses not contained in any of the above.

The highest Civilization/Entity in Maxywaxy's Hierarchy is $\omega^{20}$.