Hello
Here is how loyalty stages change for realms with speed x4:
1st stage - From the 1st to the 7th and a half day in the alliance
2nd stage - From the 7th and a half day to the 30th day in the alliance
3rd stage - From the 30th day until the end of the Era
In realms with speed x10:
1st stage - From the 1st to the 3rd day in the Alliance
2nd stage - From the 3rd to the 12th day in the Alliance
3rd stage - From the 12th day until the end of the Era
The values in "How to play" menu apply for speed x1. It will be corrected.