A quick hit  research with the phrase [delegation levels] shows variety of patterns, with 4, 5, 6, 7, 9 or 10 "delegation levels".
4 levels : Chip Houston (Andy Stanley with Gavin Adams)
5 levels : Michael Hyatt (Michael Hyatt)
5 levels : BillZippOnBusiness (Bill Zipp)
5 levels : Discwizardonline (Nancy Roberts)
5 levels : Discipleship (Eric Gallagher)
5 levels : Greendoor Virtual (Brooke Simmons / Sarah Gibson)
5 levels : Strong-Bridge Consulting (Heather Mier)
5 levels : ANZ Business Growth Program (University of South Australia)
6 levels : University Lake School Leadership Development Programme (Karen Calhoun)
6 levels : Bizcatalyst 360 (Tim Crocker)
6 levels : attribution under progress (temporary Google research with "6 levels of delegation")
7 levels : Management 3.0 (Jurgen Appelo)
9 levels : original paper / book not identified yet (Sir Tim Brighouse)
10 levels : Businessballs 
How many delegation levels would you institute to increase agility of your digital systems ?
What if, from your company culture and change management perspectives, you replace the notion of delegation level by the notion of governance regime ?
For IT/digital operations, Tru Do-Khac has created the framework "IT Regime Management", which is articulated around the notion of governance regime.
 As a matter of fact, not so quick : under the business & professional loyalty imperative of the digital era*, we made our best efforts to reference under the conditions
- there is a clear attribution to identified professionals with simple facilities to contact, possibly in view to confirm fair use under commercial or professional context
* A definition of the digital entreprise, drawn from the collective intelligence of the French citizens : Entreprise numérique : une définition fruit de l'intelligence collective nationale