Only cables that are extremely wide in bandwidth and / or have a very low nominal impedance ( very low inductance ) can cause problems with your Threshold. The Anti-Cables are not capable of such a low impedance or low level of inductance regardless of how they are configured. Even if one were to use a cable that could cause the amp to self-oscillate, the addition of an inexpensive and simple to make Zobel network would solve any of those problems.
Using the Anti-Cables or any other design that physically separates the two conductors by a measurable distance drastically reduces bandwidth and raises nominal impedance. In effect, the Anti-Cables will act as somewhat of a smaller gauge zip cord with an increased tendency to roll-off the treble as spacing between the conductors is increased.
The treble roll-off may fool some people into thinking that the treble is cleaner, especially on digital based systems that tend to sound bright or ringy. The solid core conductors are what give the cable the majority of their "special properties", but the lack of other specific electrical traits are what limit the bandwidth and power transfer characteristics.
Like i've said before, buy and use what you like. These cables are a step in the right direction and can be even more than that, but you have to know how to get there in order to achieve the best results. If you already knew how to get there though, you would have chosen a different point to start at though. With that in mind, i'll never discourage someone from finding out what works best for them and / or learning along the way. That's why i said that i was glad to see people learning / experimenting with a type of product that i consider to be a stepping stone to better sound reproduction. Sean
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