Hello Therese
Sorry I've been so long getting back, away from a computer and without my Skyscript login.
First just to clarify: you are right, of course, that the Indians do use the signs in Navamsa (particularly when it is "vargottama", the same in D1 and D9). But this is certainly not the "only" way they use them. In K.N. Rao's bookds, in Choudry's Systems Approach and many other places you see references to house positions: the division being used in relation to the ascendant without reference to sign, noting what is in the 10th etc, noting what planets become conjuct or configured in various ways with the ascendant ("hemming in", etc). My first teacher, Denis Labour?, encouraged us to work this way (as well as considereing vargottama, etc), and I found it more convincing, partly because I'm not sure that Aries is the right place to start a sidereal harmonic (but that's my problem).
I don't know why my charts dissappeared, and at the moment I can't get new ones up. Will try Imgur again soon. But really all you need to do is look at the triwheel that has survived on the prevous page of this thread and just ignore the US 4th July chart (radix, not harmonic) in the centre, if that one bothers you. They're all lined up to 0? Aries for easy comparison.
You write:
What Addey says is that in taking zero tropical Aries as the initial point of the phasing of harmonics, the highest distribution was found in sidereal signs. This is a most intriguing combination of zodiacs. He diagrammed this on page 196 of Harmonics in Astrology. In that chapter Addey also questions Donald Bradley's research.
I?m still not understanding what you?re doing here with the harmonics of the WTC chart, Graham. Try posting a bi-wheel with only the natal WTC chart and whatever harmonic you?re trying to describe.
I've done exactly what you describe Addey as proposing (though it's not the distribution in signs that then struck me, but the tropically-generated configuration itself, irrespective of sign placement): I took zero tropical Aries (the VP), generating a 9th harmonic, and then mapped the whole thing onto sidereal coordinates (Krishnamurthi). The reason it all sounds so complicated in my description (and was) is that, whereas with paper and scissors you could simply cut the tropical biwheel out and shift it round against the zodiac by the ayanamsa on that date, it's fiddly to "trick" Solar Fire into first generating such a harmonic (because it always defaults back to a 0 Aries start, whether tropical or sidereal), and particularly then to view a biwheel (when you save and reopen the "doctored" D9, it's hard to save the doctoring - you find yourself back to the sidereal H9 from Aries) doesn't reopen the doctoring, but calculates again). I think it would be easy with a program that has an offset facility, as well as a custom ayanamsa/SVP one - I think Delphic Oracle 7 has this, and Jagannatha Hora freeware does, but you cn'a do Western biw/triwheels). Anyway, what it boils down to is a tropical H9 on a tropical radix, then the whole thing offset to sidereal. The configuration matches (not just the sign placements) are not the same as in a straightforward sidereal D1/D9 biwheel.
The reason I got interested in this is because of your suggestion that comparing the H9 to the radix could help to confirm radicality (you used Ian Brady's chart). I found this intriguing, and decided to see what it gave with a chart for a highly characterised event, that we can all agree IS definitely radical. WTC seemd a good example. The sidereal 9th harmonic, whether usual Aries start or Fagan-style noviens starting with Taurus, was not very convincing. I noticed that the tropical radix and H9 were much more convincing in terms of conjunctions (of the sort you pointed out re Brady), so I tried Addey's idea of mapping a tropical harmonic wave (i.e. starting at the VP) onto sidereal coordinates (I should say that Addey said this worked for H5 and H7, but I thought I'd have a look with H9 since that what we were talking about). It looked more "radical", in terms of correspondences with the D1. I then out of curiosity compared it to a 4th July 1776 chart, and looked at correspondences to slow moving factors in that (the angles etc are of course uncertain and are best ignored).
But anyway, the upshot is, in this case a fully tropical harmonic looks much more "radical" in the terms you were presenting re Brady. It looks even more radical if you map them onto a tropical chart for 12 noon on 4th July 1776 (to avoid argument about the precise time), and more so again when you try a fully tropical quadriwheel including also the radix of first WTC attack (26/2/93 at 12:27:37pm) (haven't tried the H9 for that one yet). You simply don't get these "coincidences" (involving Saturn, Jupiter, the nodes, Neptune, Uranus, Venus, Mercury and more) when working sidereally, whether Aries or Taurus start, or even with VP start but mapped sidereally ? la Addey - though more of them get through with that of course, at least between 9/11 and its own harmonic). Try it if you're interested, or I'll see if I can post a tropical quadriwheel (but maybe this should now be out of the Sidereal forum, in "Philosophy etc"??)
We should also remember that Addey stresses that, for him, there could be a multitude of valid starting points (including sidereal ones) for the harmonic wave (though he says they should represent intersections of the ecliptic with some sort of great circle, of which he thinks the equinox one is the most useful). Also that he clarifies how harmonics work: while we tend to think we're dividing each sign into so many parts,he says we should conceive of the positions in the whole 360? circle being multiplied by e.g. 9. The 12-fold zodiac is already a 6th harmonic (with each sign representing the positive and negative half of a wave, starting tropically from the VP, or sidereally from wherever 0? Aries, or 0? Taurus for Fagan, is deemed to be with a given ayanamsa). So the H9 is really H(12x9)/2 = H54 (giving 54 negative half-waves and 54 positive ones = the 108 navamsa).
Graham