LumiNet (based on attiny84)

Yes, that was also something I did not expect. But it was the same effect with the LilyPad Arduino and the Diecimila and I measured everything three times.
No LEDs are connected to pins 2,3,4,5,6,7 (that's why I have choosen them).
Please notice that I did measure the overall system power and not the power that goes only through the atmel chips.

Maybe someone else can do a measurement and verify my values? - I connected the power supply to the 5V and GND pins and disconnected everything else.

The question about the clock speed: The internal clock can be 1-8 MHz. Of course you can add external clock sources. Then 16MHz are no problem.
The bootloader runs at 1MHz but I tested it with 8MHz at 115000baud and it works with a good selection of boards.