Current Ring's Closing Damage

First off, I'm not talking about the changes to the ring where it started to deal more damage in general; I'm talking about how it jumps to the next ring's damage when the current one starts closing.

If each ring did the following damage:

Ring 1: 5
Ring 2: 10
Ring 3: 15

When ring 2 closes, its dealing ring 3's damage. Every random who I would tell that ring 3 is closing, they better run because its going to deal ring 4's damage doesn't believe me when I say it.

The ring should slowly increase its damage from one ring to the next.

Which means:

Ring 1 closing: 5 -> 6 -> 7 -> etc. 

Not:

Ring 1 *just* starting to close: 5 -> 10

With the rings closing sooner and faster, its very punishing to take any kind of fight because the ring would just instantly slap you with a higher ring damage with no hopes of getting out of it.