The latest Airport Base Station Update 7.6.1 "provides support for remote access to an AirPort disk or a Time Capsule hard drive with an iCloud account." Yes, this is a 3 year old question. An easy solution to access a remote Time Capsule.

Set a static address on your Time Capsule to make it reachable from your Mac. In the Internet tab, choose Static from the pop-up menu. For IPv4 Address, Subnet Mask, and Router Address, enter 192 How-To: Access Your Time Capsule Over the Internet – Gigaom May 14, 2009 Ways to Access Your Files From Anywhere - Lifewire

How to browse Time Capsule files with your iPad or iPhone. If you need file access in your apps why not speak to us about using our API. See our API page for more. Stratospherix develops high quality software for the iPhone, iPad and Apple TV. If permitted by your browser, this site uses cookies for anonymous statistics.

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Time Capsule | Macworld

AirPort Time Capsule - Wikipedia The 7.6.1 Time Capsule firmware enables remote access of the harddisk with an iCloud account. In the past, users needed a MobileMe account to remotely access data. Fourth generation models are available with 2 TB and 3 TB of built-in storage. The software is specially built by Apple and is not user modifiable. Time Capsule: simple way to access my Time Machine files Jan 12, 2009