I got microphonic from Headfi. It made the most sense to me because the noise I heard was a banging sound when the cable would bang/bump something such as a me or cabinet and so forth. It simply seamed more amplifying the noise/sound made like a microphone.
When I saw the term "machinal" I thinking machinery. I would expect noise coming from the amp, preamp, dac, player, PC, or so forth. This would either be from interference or moving parts. Given most people are not using equipment that's not insolated well (enough) and prone to inference, and almost all equipment I see has no moving parts, it didn't seem likely; record, tape, or CD players being moving part exception.
The stock cables are very microphonic. If they're not moving around, they sound good. At least the ones I experience that came with the Stellia and Elegia.
I cannot comment on all the suggested brands suggested. From what I've read, they've all been spoken about very highly. They would probably serve you very well. I like GUCrasftsman because they seemed to be made well. The price is very reasonable for what they are compared to many of the brands suggested. They may be a little bit out of your price range. There's no customization for appearance or length.
Another cable I would suggest, which is very reasonable and similar to microphronics to the GUCrasftman would be Meza Audio 99 Upgrade cables. Compared to the many brands suggested, these are dirt cheap at $120-$130US, for similar cable(s). I liked them. The only issue I had was the plastic sleeve came loose on the headphone terminals. It didn't create a short or effect the sound or micrphonics. Well, reading the L and R is bit challenging since the terminal ends are a light silver and type is white. Not enough contrast.