Since update 3.0 of Deemo came out, there has been a new mechanic: The Forgotten Hourglass.
This mechanic allows you to restart the game's story progress completely. While this is only for one explicit purpose, reaching total completion at the end of playthrough four, it will still allow you to restart after then. This can be done indefinitely.
That is where the purpose of this site lies. I have personally made it my goal to complete as many playthroughs as possible, and will post every milestone. The updates themselves can be found on the updates page.
Note before looking at the updates page that a while after I completed my first playthrough, all of my progress was erased due to a glitch in memory. I was never able to retrieve it through any technical means and played through the game again, regaining all of my old scores on all of the songs I had previously owned. This means that the true number of playthroughs I have completed is not known by the game itself. There is a convenient effect to this, which is that the number displayed when it tells me I am about to start a new playthrough is actually the number I have already completed. This will be reflected on the updates page.
deemo.wikia.com