Trevor,
For the electrically impaired, strand count is not a particularly good measure of ampacity, as I am sure you know. You can get #24 AWG microphone cable with a strand count of 105 x #44 AWG, and that would be good for about 2 A, max, in a taped or tubed loom.
For 15A, #14 AWG or #16 SWG should be fine. Go 12 or 15, respectfully if you want even more margin. For 6A, you could go as small as #20 AWG or #21 SWG, but I would move up to #18 AWG or #18 (or 19) SWG, just to have more physically robust wire. Incidentily, again for the electrically impaired, use only stranded wire. The actual strand count is not so important, but keep it higher than house wiring (for good flexibility). After all, we are not concerned with high-frequency skin effects. If there is no one here whose doesn't already know these things, I am sure there is a mythical ficticious A7/A10 owner who is thanking me right now.
Richard L.