Even without an iOS or Android device, you can still use Periscope! You can watch broadcasts on the web on desktop or mobile.
To view an endless stream of popular broadcasts you can visit periscope.tv/couchmode. You can also locate a specific user's web profile.
If you have an Apple TV, you can download the Periscope app through the App Store.
Having trouble viewing broadcasts on the web? Make sure you have Flash installed on your computer. Also check your browser settings to make sure Flash is enabled.