Audiolabryrinth: "AWG" refers to "American Wire Gauge", a standard unit of measure for a single piece of "wire". When someone lists something of the form 6+ AWG, it is probably meant to imply the wire is more than 6 gauge (and probably less than 7 gauge depending upon written context). For audio cables, or any cables of any kind made up of more than one conductor, you need an "effective gauge" calculator to determine the actual effective gauge of the resulting cable made up of more than one piece/strand of wire of a particular gauge and/or multiple strands of wires each of different gauges.
For example, if you have a cable made up of 10, 24 awg wires, its effective gauge is 14, not 24. Multi-gauge calcs of multiple wire/strands for each gauge (typical of many audio cables) yield more interesting results. As you can imagine, "big bad audio" power cables and speaker cables generally are of lower effective gauges and things like interconnects, etc...are of higher effective gauge.
***Note: I say "generally" as there are clearly many exceptions to this observation for many good reasons....***
Reasonably good effective gauge calcs for both single-gauge and multi-gauge blends can be found in many places on the web,...here is one that yields good results;
http://www.wirebarn.com/Wire-Calculator_ep_42.html
If you wanted to determine the effective gauge of any of your Tara Cables, you'd need to know the specifics of what goes into it.
See Wikipedia for more detail on AWG, what it means to wire, composite cables, etc...and other listings on the web regarding effective gauge for more details...