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With previous papers having dealt with the technology and various models of mechanical filters, the series is brought to a close with the description of the design methods. The design method is based on the Remez algorithm and allows manufacture oriented and systems oriented secondary conditions to be taken into account. The description of the fundamentals includes the determination of a converging initial circuit. As illustrated by a channel filter design, the procedure is justified and a number of suggestions are provided which guarantee satisfactory convergence even under difficult secondary conditions. It is shown that the described method avoids unwanted local minima and, therefore, theoretically provides the desired solution; it remains an open question whether another method might lead to the desired solution more quickly in special cases.