1D to 13D

Yes, there is 1D. It's flat lines. That's it. 

https://freeglobaluniversity.blogspot.com/search/label/Line It would make for a movie for Meditation

https://freeglobaluniversity.blogspot.com/search/label/Meditate

2D is only in two dimensions. Example: Normal movies. A flat screen.
http://www.ehow.com/info_10027643_differences-between-1d-2d-3d-pictures.html
3D is 3 dimensions. Those are movies where things appear to jump off the screen.
http://3dfunda.com
http://en.wikipedia.org/wiki/3D_film

4D films marketed as 5D to 11D films to emphasize the variety or uniqueness of their theater effects. 
http://en.wikipedia.org/wiki/4D_film

4D
http://www.youtube.com/results?search_query=4D+theatere

5D
https://www.cinema5d.com

http://www.youtube.com/results?search_query=5D+Theatres

6D
http://www.newindianexpress.com/topic/Pulimurugan
http://www.youtube.com/results?search_query=6D+Theatres

7D
http://www.youtube.com/results?search_query=7d+Theatres
8D
http://www.youtube.com/results?search_query=8d+Theatres
9D
http://www.youtube.com/results?search_query=9D+Theatres
10D
http://www.youtube.com/results?search_query=10D+Theatres
11D
http://www.youtube.com/results?search_query=11D+Theatres

12D
https://www.12d.com
http://12dtheatre.blogspot.in
https://www.youtube.com/results?search_query=12D

13
https://en.wikipedia.org/wiki/13D

Live Experiance
http://cinemaudienceict.wordpress.com/2012/04/22/2d-3d-4d-5d-6d-7d-what-next/

Example

https://www.xd-cinema.com/
http://www.moderntechnoprojects.com/
http://www.3dlabz.com/5d-theater.htm