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In total, you’ll need four signal wires and one ground wire which only a TRRRS connector can provide.
The TRS cables and XLR cables share some similar features and also some differences. The capacity of both cable types depends on the connectivity modes.
For the application you described, it sounds as if you wish to send the two individual outputs from the two channels on your mixer as a stereo (left and right) signal into your audio interface. I am sure you want the stereo signal to be routed into your interface so that it can then be routed into your computer and maintain the stereo separation selected on your mixer.
This doubt and fear are very understandable as no one wants to spend his resources on purchasing an item with no guarantee. It is problematic and uninteresting. TS cables are often used for instruments like electric guitars, guitar effects patch cables, keyboards, and single-switch amp A/B boxes. E.g. you won’t need an additional DI-box for balancing your signal, if you’re coming out of a P-SPLIT II or LITTLE DUAL isolated out. Eavesdropping or splitting/multing of the output is thus not possible, so full normalling is typically employed only where a particular output must not be routed to more than one destination at a time (for example, with devices that are fussy about impedances), or if the normalled input should be muted when its usual source is routed elsewhere. Modern phone connectors are available in three standard sizes. The original 1⁄ 4 inch (6.35mm) version descends from as early as 1877, when the first-ever telephone switchboard was installed at 109 Court Street in Boston in a building owned by Charles Williams, Jr.; [8] or 1878, when an early switchboard was used for the first commercial manual telephone exchange [9] [10] in New Haven, Connecticut created by George W. Coy. [11] [12] The 1877 switchboard was last known to be located in the lobby of 185 Franklin Street, Boston. [8]Note: This table provides general information on TS, TRS, & TRRS cables and may vary depending on specific applications and equipment. Refer to the manufacturer’s recommendations for your specific setup. TS and TRS Troubleshooting Gary D. Davis and Ralph Jones (1989). The Sound Reinforcement Handbook. Hal Leonard. ISBN 0-88188-900-8. Chapuis, Robert J. (2003). 100 Years of Telephone Switching. Amsterdam, the Netherlands: IOS Press. p.51. ISBN 9784274906114. Ranjan Parekh; Ranjan (2006). Principles of Multimedia. Tata McGraw-Hill Education. pp.225–. ISBN 978-0-07-058833-2.