Question on tuning machine ratios

[naccoachbob]

My acoustic guitar from a Stewmac kit, has tuners that seem to somewhat slowly bring the strings into tune.
Both my electrics will change string frequency quickly.
I don't know the mfg for any of them, but my question is, does someone make good tuning machines with a high ratio of say 18:1 or more? Are they really pricey?
I use an app for an Iphone - Istrobosoft from Peterson. The tuning can be in cents, which I use, frequency, or midi (I have no idea what the heck that is for). And that software is very exacting. As a result, especially with the electrics, I can barely turn the tuning key and it will change the tuning by 5 cents or so.
I find my Iphone tuner is way better than the other two I have, one of which is a Snark. And I really like it. But what I'd like more is to be able to sneak up on the tuning a bit. Instead of having to barely, barely touch the knob.
Any ideas? What seems to be a good ratio for doing it like I'd like?
I'll try to find out what type tuners from Stewmac, but that was 5 yrs ago or more.
Thanks,
Bob

Oh, John, I had no idea where to post this, but this section seemed as good as any. Feel free to move it if you think it needs it.

[tippie53]

Good tuners are usually 14 to 1 or higher. I like the grovers , they are 18 to 1
The cheaper the tuner the less they hold and will slip

[Ben-Had]

I pretty much use Grover for open back and Ping for enclosed.

[B. Howard]

Any brand name tuner should get the job done, I like Schaller but I don't like high ratio tuners.

[Kevin Sjostrand]

I've been using Gotoh's, I think they are 16:1. No problems so far.
In the OLD days I would put Grovers on as replacements, they are very good too.

Kevin