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3D Houses: The most accurate method of house placement?
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Michael Sternbach
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Posted: Thu Jul 02, 2020 4:18 am    Post subject: Reply with quote

Well, I think I understand what Walter is getting at: The Prime Vertical (the circle that connects East and West) is the only great circle whose division will result in getting regular sectors of the observer's space. If that's what houses are supposed to be all about.

Anyway, that's why Campanus was Rudhyar's method of choice.
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Cruiser1



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Posted: Thu Jul 02, 2020 5:02 am    Post subject: Reply with quote

Paul wrote:
Well to be specific, with more intent, don't all houses cover 30º of something? For example, Regiomontanus covers 30º of the equator. Campanus covers 30º of the Prime Vertical. Ok not all cover 30 degrees, but a lot do, but they all cover 1/3rd of something.

Indeed, Porphyry houses don't cover 30 degrees of anything, because Porphyry houses simply trisect or take 1/3 of each quadrant seprately. But I agree that every house system in an abstract sense has houses cover 1/12 or 1/3 of something. However, regardless of the internal math used to calculate house positions, only a few house systems end up with equal 30 degree size houses in the end (or 12 equal sized 30 degree wedges when looked at in 3D). Those are the true "equal" house systems, such as Equal (Asc), Equal (MC), Vedic, Whole (and Campanus when looked at in 3D).

Paul wrote:
For example, Regiomontanus covers 30º of the equator.
Indeed, and this raises an interesting point! Thumbs up Regiomontanus is an unequal system, because although it divides the celestial equator into 12 equal 30 degree sections, it then composes wedges which meet at the North and South points on the local horizon, which makes those wedges different sizes. However, if Regiomontanus instead composed its wedges to meet at the celestial poles, then it would be a 3D equal system! It would be like 3D Campanus, just tilted to a different alignment on the celestial sphere. However, this alternate 3D Regiomontanus would not be aligned with the local horizon, and would still (like 2D house systems) sometimes have planets below the horizon be in houses 7-12, or planets West of the meridian be in houses 4-9.

Michael Sternbach wrote:
Well, I think I understand what Walter is getting at: The Prime Vertical (the circle that connects East and West) is the only great circle whose division will result in getting regular sectors of the observer's space. If that's what houses are supposed to be all about. Anyway, that's why Campanus was Rudhyar's method of choice.

Yes, the above is the essence of "3D Equal houses". Also, dividing the prime vertical into unequal sections is how we get 3D versions of other house systems, like 3D Placidus, which produce the same house positions for planets exactly on the ecliptic. Anyway, whether 3D houses produces more accurate astrology than the various simple 2D house systems would be difficult to prove, but it at least seems more precise, and is a useful model to be able to visualize and display.

As the page http://www.quadibloc.com/other/as01.htm says, "To keep things simple for astrologers, however, tables of houses, instead of recording the entire path of the line between houses, give the boundary of each house as a single angular position. That is the location where the line bounding a house crosses the Ecliptic, since the planets always move close to the Ecliptic." That's the essence of 3D houses in general: We no longer need to "keep things simple" as we did in previous centuries, and modern computers can properly see and work with the entire path of the line between houses. Cool
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Posted: Tue Jul 28, 2020 11:09 am    Post subject: Reply with quote

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