Instructor pilot reports electing to use the visual climb option during the DVT1.PXR departure from DVT and is questioned by ATC as to what departure is being flown.

Narrative

I was given the Deer Valley 1 departure (DVT1.PXT) from the DVT airport. I was handed off to Phoenix Approach. After a few minutes; Phoenix Approach said 'I see you over the DVT airport; you were supposed to fly the (DVT1.PXR) departure.' I stated I was. The Controller gave me a vector to 270 degrees. I then received a phone number to call upon landing destination airport due to possible pilot deviation. Upon landing; I called Deer Valley Airport. I spoke with a Tower Controller who was not aware of the request for my call. The Tower was too busy to talk about it at that moment as they were handling numerous aircraft. The Tower asked for me to call Approach. I did so accordingly. They asked why I flew over the airport. I stated I took the visual climb option on the (DVT1.PXR). We read the departure procedure together and they commented that nobody had ever done that before. They agreed that the visual climb optioned existed; but to their knowledge; no controller in the DVT Tower had seen it flown. Apparently; the Phoenix Controller handling my flight hadn't either. This could be a learning opportunity for all involved.