Aha! Sorry, pardon my telling you how to vacuum clean avian ovoid-shaped reproductive cells

I see you already know about routers.
No, WiFi Scope doesn't create the network, it opens up a port on your computer if there's an IP address available to it.
The later versions of the iPhone have something called a personal hotspot (in Settings -> Personal Hotspot) which you can supposedly turn on and it creates a Wi-Fi network. I have tried using that but have not successfully linked computer, phone and iPad yet through straight Wi-Fi other than through bluetooth.
Admittedly I haven't turned everything off then on again, but will get to that at some stage.