Microsoft announced the availability of a responsive design package for SharePoint 2013 and SharePoint 2016 On-Premi servers.
The package does not implement a custom master page but rather uses the Java script embed pattern to achieve the responsive design.
Desktop view
Tablet view
Phone view
The package gives responsive design to built in pages like homepage, webpart page, settings page etc. It’s an Open Source project and downloadable from GitHub.
More info here: http://dev.office.com/blogs/announcing-responsive-ui-package-for-sharepoint-on-premises-2013-2016