SweetiePie: understanding the concept of having the reward of saturation escapes me. What is the purpose ? What is it for ? What is it suppose to serve and why ?
Saturation is only a popular term for one specific moment in avg. calculation which appears at each tier.
The average is calculated of a maximum of <number> of the best(!) scores in one tier, e.g. 50 for TM,. 500 for Ls and TLs. When a player "reaches saturation", he has arrived at this number. I'm gonna spare you the maths ;)
The progammed purpose is to keep a player in one tier for a certain number of games. Nobody becomes TL unless he grinds his way through 500 scored Legend games!
For many, the number is much higher due to the average barrier of 60. I for one have 900 L rounds and an average of 66.6 - it would take me forever to become a TL.