© Tom Lethbridge 1969 
This subject is vast and it is becoming clear to me that everything, whether subjective or objective, has a series of co-ordinates classifying it. If I attempted to find and tabulate all, the result would be more elaborate than the London telephone directory. I will give one example, and leave other people to work out more for themselves, although I will follow up the example with a table of rates which give you the first part of the series of coordinates.
At the beginning of A Step in the Dark I told a story of a rare little beetle called Bolboceras arminger, and how in 1964 it led us to a search for truffles with the pendulum. In the course of this quest another beetle, Serica brunnea, came into the story; a snail, Cyclostoma elegans; a truffle, Sclerogaster compactus; and the beech tree, Fagus sylvatica. These various organisms all responded to a rate of 17-inches. I could not find an imago  of Serica brunnea for four years, and then on 2 August 1968 I found one lying in the window sill of the same bedroom in which I had formerly discovered the specimen of Bolbocera arminger, which had started the whole thing off.
This seemed a good opportunity to see how far one could get with the study of classifying co-ordinates. I knew that when on the right rate, the pendulum would make a given number of gyratory turns, or revolutions, for a given object or thought concept. Then it went back into an oscillation. This I knew was used by some dowsers for some purpose of which I was not very clear. However, I decided to count the number of oscillations and see what story they might tell. The answer with these five differing specimens is given in the table below. All are evidently tied to the beech tree itself, on whose products they feed.
It was obvious that the new oscillatory reading could not be observed with complete certainty to nearer than two, or perhaps three swings, but, beyond the margin of error, it was correct. Making allowances for this two percent margin, it became clear that the figures in the oscillation column are a multiple of the ‘rate’ by some number which differs according to species. The column should read: 17x9, 17x10, 17x10˝, 17x12 and 17x16; that is 153, 170, 178˝, 204 and 282. We are clearly a step forward in finding our part of a vast system of classification, which includes everything. There must be many more co-ordinating numbers to find.
But, once again I must stress that whoever compiled this table did so on a scale of inches, which is human measurement. The mind working on these figures works in a human manner. Whatever we are dealing with is susceptible to human reasoning, even if it reflects the mentality of somebody on a higher plane of development than our own.
It is not a product of my mind (even though I suspected that it might be) for others get precisely the same results as I do. We are forced to assume elaborate planning outside normal earth life. When once this fact is grasped, enormous strides in knowledge are possible. I am only a pioneer.
The next diagram  shows this distribution of pendulum ‘rates’ on a ‘rose’ of 40 divisions. Different types of printing used to differentiate differing conceptions. The figures round the circumference show the numbers in inches for each rate. Each of these is actually a ray at least an inch in width. The positions of the rays on the diagram are thus relative but not exact. Time, 60, is outside the circle.
The next diagram shows how the central point of each force-field, as indicated by the pendulum, lies on a spiral track. The numbers are in inches. The force-fields are biconical and at right angles to the spiral. The circumference of each basal circle cuts the central point of the spiral. This applies to both first and second whorl. The radius of each circle equals the rate on the pendulum.
The third diagram attempts to show how the position of an object appears to change in relation to the observer as he mentally ascends the Spiral of Rates. The object chosen was a silver spoon with a rate of 22 inches. On the second whorl it appears at 62 instead of 22 inches distant. This shows why persons reporting ‘out of body’ experiences say that they look down on themselves.
The next diagram shows the Spiral of Rates in side-view. The angle of climb is conjectural. Numbers in inches
The fifth diagram attempts to show how the spiral of rates explains why people in dreams, or during ‘out of body’ experiences, can look down on their body from above and to one side of it. The second whorl of the spiral may have no thickness, or be of unlimited extent. From sleep at 40, the dreamer looks at himself at 20.
 Researchers: Tom & Mina Lethbridge.
 Imago: the perfect state of an insect after it has cast its pupa case; Empire Standard Dictionary (1938). [Ed]
 Higher resolution images in Adobe pdf format at http://www.cesc.net/adobeweb/scholars/lethbridge/. [Ed]