The Arden Syntax for Medical Logic Systems is a standard for encoding and sharing knowledge in the form of Medical Logic Modules (MLMs). Although the Arden Syntax has been designed to meet the requirements of data-driven clinical event monitoring, multiple studies suggest that its language constructs may be suitable for use outside the intended application area and even as a common clinical application language. Such a broader context, however, requires to reconsider some language features. The purpose of this paper is to outline the related modifications on the basis of a generalized Arden Syntax version. The implemented prototype provides multiple adjustments to the standard, such as an option to use programming language constructs without the frame-like MLM structure, a JSON compliant data type system, a means to use MLMs as user-defined functions, and native support of restful web services with integrated data mapping. This study does not aim to promote an actually new language, but a more generic version of the proven Arden Syntax standard. Such an easy-to-understand domain-specific language for common clinical applications might cover multiple additional medical subdomains and serve as a lingua franca for arbitrary clinical algorithms, therefore avoiding a patchwork of multiple all-purpose languages between, and even within, institutions.