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Since it's been disabled due to an incorrect passcode being entered too many times then I'm afraid you will indeed need iTunes on a computer to get around this security feature.
The following procedure is a special device firmware update mode. It will erase your Apple device, remove any passcodes, and then re-sync user data once it is done (provided you have a backup of some kind).
Make sure you have downloaded and installed the latest version of iTunes on your computer before attempting this:
-> Open iTunes on your computer and connect the Apple device directly to it
-> Turn off the Apple device (press the sleep/wake button on the top until you see the red slider and slide the red slider across to the right OR until the device completely shuts off).
-> Hold down the sleep/wake button (on the top) AND the home button (on the front) for 10 seconds
-> Release the sleep/wake button but CONTINUE to hold the home button, until...
-> iTunes should alert you it’s detected a device in recovery mode, click OK and continue along for the restore.
Note: it may ask whether you wish to restore a backup from iTunes or from iCloud. You should use which ever has the latest backup of your personal data.
If it doesn’t work the 1st time, start from the beginning and try again. If iTunes *still* doesn't recognize the device, plug it into a DIFFERENT USB port and try once more.
If you receive misc errors when attempting to install/uninstall or sync after installation, try temporarily disabling any anti-virus or firewall software you may be running.
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Thanks and good luck,