Having worked for years in other fields, Kurenniemi resumed the construction of digital instruments in the mid-2000s (decade), when his pioneering work was attracting increasing interest internationally. Together with Thomas Carlsson, a UK-based designer of electronic systems, in 2005, Kurenniemi designed and constructed a new version of the Dimi instrument in which sound generation is based on the theory of mathematical harmonies developed by Kurenniemi since the 1980s (see Section 3. Scientific activity). Dimi-H is a program-based instrument that allows the player to pick out "notes out of the air" in a camera-generated 3D space.