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Tibicen linnei
Very noisy in summer time.
Good guess.
The wing shape is similar to the Tibicen linnei of the eastern USA, but your cicada is likely an Amphipsalta sp. (zelandica?)
http://www.flickr.com/photos/alstewartnz...
You might also want to look through this gallery of Kiwi cicadas
http://www.flickr.com/photos/dancentury/...