Alexander Jones on the Zodiac
Posted: Tue Apr 02, 2013 5:39 am
Thanks to Alexander Jones, we now have the evidence we need for the use of zodiacs from earliest times up until the full tropical conversion in the 5th century. Jones' book is Ptolemy in Perspective (2010) and sells for $219 on Amazon. (Academic publisher, $175 as an ebook) Luckily for astrologers, the chapter on the early use of the zodiac is available on the Internet.
Most of the text is highly mathematical. This chapter is about 30 pages long with 82 extensive references. Jones' research is to date by far the most important zodiac research for astrologers. Here are a few quotes from the chapter "Ancient Rejection and Adoption of Ptolemy's Frame of Reference in Longitudes:"
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QUOTES:
The predominance of sidereal longitudes in the astronomy of the papyri and astrological texts, at least as late as the third century, is not in doubt....(p. 17)
...this is a clear demonstration that Then's formula effectively converts Ptolemy's longitudes to the prevailing sidereal frame of reference...From the first century to the first half of the fourth there are no more than one or two data points that could be interpreted as tropical longitudes, and these are just as likely to be errors. (p. 17)
The graphs show the ambiguity of the situation for the fifth century;...the cluster of data points between A.D. 400 and 500 might appear consistent with Ptolemy's tropical longitudes or sidereal longitudes. (p. 19)
From the combined evidence of the papyri and the astrological texts (especially Vittius Valens) we can see that the astrologers of the first four centuries of our era knew and used a great variety of tables to compute the longitudes of the heavenly bodies and the cardinal points of their horoscopes...Yet there is a broad consistency in the longitudes, whether we look at the long-term pattern exhibited by horoscopes that were computed from unidentified tables, or we look at the parameters built into the extant tables. The longitudes tend to be greater than the ostensibly tropical longitudes yielded by Ptolemy's tables....(p. 27)
...it cannot be emphasized too strongly that up to the present we have not seen a single complete horoscope computed for the date before the late fourth century that, taken as a whole, fits Ptolemy's tropical frame of reference better than the common sidereal frame of reference, not a single table other than Ptolemy's that assumes a solar longitudinal period less than 365 1/4 days. (p. 29)
Thus we can see a remarkable discontinuity in the astrologers' practice...after 350, Ptolemy is practically the exclusive resource [tropical], and Theon's forumula [conversion to sidereal] is abandoned. (p. 34)
([.....] mine, T.H.)
The ancient reception of Ptolemy's astronomical tables went in two stages: initial, gradual and limited acceptance during the first two centuries following the Almagest's publication, and an apparently abrupt transition to complete acceptance, to the exclusion of other sets of tables and without adjustment of the frame of reference, during the fourth century. (p. 39)
...when astrology rebounded during the fifth century, the old practices had been swept away..." (p.40)
[That is, tables that produced sidereal longitudes were no longer used. T.H.]
----------------------------------END JONES' QUOTES--------------------------------
From the fifth century on western astrologers were tropical, although sidereal calculations survived among the Persians. This is why Benjamin Dykes' translations are so valuable and exciting. Much of that material is carried over from earlier centuries and writers.
Kollerstom's research is discussed in this chapter as well as Valens' calculations.
EDIT: Jones' chapter on the Internet is no longer available, so I have erased the link.
Most of the text is highly mathematical. This chapter is about 30 pages long with 82 extensive references. Jones' research is to date by far the most important zodiac research for astrologers. Here are a few quotes from the chapter "Ancient Rejection and Adoption of Ptolemy's Frame of Reference in Longitudes:"
----------------------------------------------------------------
QUOTES:
The predominance of sidereal longitudes in the astronomy of the papyri and astrological texts, at least as late as the third century, is not in doubt....(p. 17)
...this is a clear demonstration that Then's formula effectively converts Ptolemy's longitudes to the prevailing sidereal frame of reference...From the first century to the first half of the fourth there are no more than one or two data points that could be interpreted as tropical longitudes, and these are just as likely to be errors. (p. 17)
The graphs show the ambiguity of the situation for the fifth century;...the cluster of data points between A.D. 400 and 500 might appear consistent with Ptolemy's tropical longitudes or sidereal longitudes. (p. 19)
From the combined evidence of the papyri and the astrological texts (especially Vittius Valens) we can see that the astrologers of the first four centuries of our era knew and used a great variety of tables to compute the longitudes of the heavenly bodies and the cardinal points of their horoscopes...Yet there is a broad consistency in the longitudes, whether we look at the long-term pattern exhibited by horoscopes that were computed from unidentified tables, or we look at the parameters built into the extant tables. The longitudes tend to be greater than the ostensibly tropical longitudes yielded by Ptolemy's tables....(p. 27)
...it cannot be emphasized too strongly that up to the present we have not seen a single complete horoscope computed for the date before the late fourth century that, taken as a whole, fits Ptolemy's tropical frame of reference better than the common sidereal frame of reference, not a single table other than Ptolemy's that assumes a solar longitudinal period less than 365 1/4 days. (p. 29)
Thus we can see a remarkable discontinuity in the astrologers' practice...after 350, Ptolemy is practically the exclusive resource [tropical], and Theon's forumula [conversion to sidereal] is abandoned. (p. 34)
([.....] mine, T.H.)
The ancient reception of Ptolemy's astronomical tables went in two stages: initial, gradual and limited acceptance during the first two centuries following the Almagest's publication, and an apparently abrupt transition to complete acceptance, to the exclusion of other sets of tables and without adjustment of the frame of reference, during the fourth century. (p. 39)
...when astrology rebounded during the fifth century, the old practices had been swept away..." (p.40)
[That is, tables that produced sidereal longitudes were no longer used. T.H.]
----------------------------------END JONES' QUOTES--------------------------------
From the fifth century on western astrologers were tropical, although sidereal calculations survived among the Persians. This is why Benjamin Dykes' translations are so valuable and exciting. Much of that material is carried over from earlier centuries and writers.
Kollerstom's research is discussed in this chapter as well as Valens' calculations.
EDIT: Jones' chapter on the Internet is no longer available, so I have erased the link.