Yeah but "turn 10 twist 10" unnecessarily increases you workload =without= an RMI also.
I don't know about that (the part about the workload increase being "unnecessary, that is). I think that the whole point of the "Turn 10, twist 10" is to give you some kind of a reference for what heading you would need to fly to fly tangent to the arc if you haven't got anything but a course needle, a DME readout, and a DG or compass.
Let me see if I can explain. Let's say you're supposed to fly 3/4'ths of the way around the 15 DME arc off of XYZ navaid, starting at the 090 radial and proceeding counterclockwise to the 180 radial.
You can easily calculate a lead DME to turn onto the 15 DME arc, and let's say that you do that and begin by holding a heading of 360. A little while into the ARC you notice that you are now at 15.5 DME, so you know that you need to turn left. But you don't really know how much, because you don't know exactly where you are on the ARC. Until you twist in something to the CDI (or use some other method of obtaining what radial you are on, like a bearing pointer), there's no way to determine what direction is tangent to the arc. Since you can't determine what heading should hold your DME constant, it's also impossible to tell what headings will result in a correction IN, and what headings will result in a correction OUT. (Of course, you could always make just a REALLY large correction, like 45 degrees of heading change and watch the DME, but then how much of the correction do you take back OUT once the DME reads 15 again?)
But if you use the CDI, and center it, you can now get the radial that you are on. Let's say in the above example I am still reading 15.5 DME, and I'm still heading 360, but the CDI centers up with a "TO" indication on the 070. I now know that by turning to 340 (90 degrees off of 070) I should have a pretty good no wind heading that will be tangent to the ARC
at this instant. In other words, with no wind, a 340 heading shouldn't result in a drift into or away from the ARC
at that particular instant. Since I want to correct from 15.5 back to 15, however, I need to use a heading that's to the LEFT of 340 (based on going counterclockwise around the arc). As a rule of thumb, 10 degrees of correction for each 1/2 mile outside the arc, or 5 degrees correction for each 1/2 mile inside the arc is a popular one.
So I'll use a heading of 330, which should start to correct me back towards the arc (asuming no wind). But I can only get this information if I know what radial I'm currently on. Also, once my DME reads 15 again, I can re-center the CDI and then fly a heading that's 90 degrees off of that. So let's say that when I get to 15 DME again, the CDI centers to 062. 90 degrees from that is 332, so that heading should keep me from drifting at that particular instant. (Of course in just a couple of seconds, I'll be on the 060 or the 055, so headings of 330 or 325 would be better at keeping me on the ARC).