The Zoidion and the Dodekatemorion concepts
Posted: Tue Oct 28, 2003 9:57 pm
Geminus Rhodius in his only surviving work, "Introduction to Phaenomena" (1st century before Dark Age) lays out the definitions of two of the most important astrological conceptions. The Zoidion (sign) and the Dodekatemorion (the one twelfth).
"With two ways the Zoidion is defined. First as a space or locus into which some stars are included. Second as a group of stars idolized by place and similarity of form....The Dodekatemorion is the 1/12th of the Zodiac circle. All Dodekatemoria are equal and 30 degree long. Zodia are contained (katasterismos) into the Dodekatemoria....they are not identified with them. A Zoidion can be larger than its Dodekatemorion, like in the case of Virgo or smaller, like in the case of Cancer."
Ptolemy and Hephaestion, when they talk of the Zoidia, they begin their texts with the phrase "the Dodekatemorion of Aries is...", "the Dodekatemorion of Taurus is...." and so on. The Dodekatemorion concept was developed so that boundaries between the zodiacal asterisms could be drawn, since the zodiacal asterisms cover each other and no clear boundaries exist on the sky. It was developed for another reason also, to project a mathematical/geometrical harmonic division into the Zodiac Circle according to the pythagorean numbers' and shapes' philosophical concepts. Planets sometimes form certain geometrical shapes, triangles, squares etc and it is through these mathematical/geometrical properties that aquire their astrological properties.
Dodekatemoria are further divided into 3 Decans each. The Decan division system comes from Aegypt. Each Decan has a specific name relevant to a deity or a deity's property.
The 1st Decan of Aries, are the first 10 degrees of the Aries Dodekatemorion. Not the first 10 degrees of the Aries constellation (zoidion). So when Vettius Valens for example, writes that the vernal point is located into the 1st Decan of Aries he means that it is located into the first 10 degrees of the Aries Dodekatemorion - this was the standard division method back then.
I am writing all these because, many astrologers, wanting to justify the tropical system, they claim that although precession was discovered, the hellenistic astrologers made no corrections. Well there was no need to. The vernal point passed the Dodekatemorion line between Aries and Pisces sometime after +300 and not earlier. Corrections would have been made if christianity hadn't occured.
Geminus Rhodius makes it clear that corrections were made into the older observations if they were not reflecting the current sky positions. Geminus himself proceeds to correct the zoidion syzygiai (sign conjuctions). Ptolemy names the syzygiai "signs that behold each other"
Of Signs which Behold each other and Signs of Equal Power.
Again they say that the parts which are equally removed from the same tropical sign, whichever it may be, are of equal power, because when the sun comes into either of them the days are equal to the days, the nights to the nights, and the lengths of their own hours are the same. These also are said to "behold" one another both for the reasons stated and because each of the pair rises from the same part of the horizon and sets in the same part.
from Ptolemy's - Tetrabiblos
Geminus mentions that originally the syzygiai were as following:
Gemini-Leo
Taurus-Virgo
Aries-Libra
Pisces-Scorpio
Sagittarius-Aquarius
Aries, Cancer, Libra and Capricorn do not form syzygiai.
Then he proceeds to explain that these syzygiai are no longer valid because the summer solstice point (Geminus used the summer solstice point and not the vernal point for his calculations) no longer was in the Cancer but between Cancer and Gemini. Then he corrects the syzygiai to reflect the stellar reality as following:
Cancer-Gemini
Capricorn-Sagittarius
Taurus-Leo
Aries-Virgo
Libra-Pisces
Scoprio-Aquarius
I wrote all these, to show that the hellenistic astrologers had the habit of always taking in account whatever the sky showed them and corrected older observational data if it was no longer valid. This is why they actually (and accidentally) discovered the precession. Geminus was a student of Poseidonius the Stoic, who had opened a School in Rhodes. Hipparchus (who is credited with discovering precession) also studied there and was concurrent with Geminus.
Now, the whole tropical/sidereal issue will sometime eventually come into a solution. I have done a thorough research on the system that was used during the hellenistic period and what I found out favours neither the contemporary tropical method nor the contemporary sidereal method. Why?
Tropical method is seasonally aligned but lacks stellar alignment. Sidereal method is stellar aligned but lacks seasonal alignment. In the hellenistic period, the system that was used was both seasonal- and stellar- aligned. We do not have this today. Both systems we use today are not correct from the hellenistic point of view.
Furthermore, there is one more problem that makes the development of a seasonal/stellar system very difficult. But I think I bored you enough for today, so we may discuss this at another time.
"With two ways the Zoidion is defined. First as a space or locus into which some stars are included. Second as a group of stars idolized by place and similarity of form....The Dodekatemorion is the 1/12th of the Zodiac circle. All Dodekatemoria are equal and 30 degree long. Zodia are contained (katasterismos) into the Dodekatemoria....they are not identified with them. A Zoidion can be larger than its Dodekatemorion, like in the case of Virgo or smaller, like in the case of Cancer."
Ptolemy and Hephaestion, when they talk of the Zoidia, they begin their texts with the phrase "the Dodekatemorion of Aries is...", "the Dodekatemorion of Taurus is...." and so on. The Dodekatemorion concept was developed so that boundaries between the zodiacal asterisms could be drawn, since the zodiacal asterisms cover each other and no clear boundaries exist on the sky. It was developed for another reason also, to project a mathematical/geometrical harmonic division into the Zodiac Circle according to the pythagorean numbers' and shapes' philosophical concepts. Planets sometimes form certain geometrical shapes, triangles, squares etc and it is through these mathematical/geometrical properties that aquire their astrological properties.
Dodekatemoria are further divided into 3 Decans each. The Decan division system comes from Aegypt. Each Decan has a specific name relevant to a deity or a deity's property.
The 1st Decan of Aries, are the first 10 degrees of the Aries Dodekatemorion. Not the first 10 degrees of the Aries constellation (zoidion). So when Vettius Valens for example, writes that the vernal point is located into the 1st Decan of Aries he means that it is located into the first 10 degrees of the Aries Dodekatemorion - this was the standard division method back then.
I am writing all these because, many astrologers, wanting to justify the tropical system, they claim that although precession was discovered, the hellenistic astrologers made no corrections. Well there was no need to. The vernal point passed the Dodekatemorion line between Aries and Pisces sometime after +300 and not earlier. Corrections would have been made if christianity hadn't occured.
Geminus Rhodius makes it clear that corrections were made into the older observations if they were not reflecting the current sky positions. Geminus himself proceeds to correct the zoidion syzygiai (sign conjuctions). Ptolemy names the syzygiai "signs that behold each other"
Of Signs which Behold each other and Signs of Equal Power.
Again they say that the parts which are equally removed from the same tropical sign, whichever it may be, are of equal power, because when the sun comes into either of them the days are equal to the days, the nights to the nights, and the lengths of their own hours are the same. These also are said to "behold" one another both for the reasons stated and because each of the pair rises from the same part of the horizon and sets in the same part.
from Ptolemy's - Tetrabiblos
Geminus mentions that originally the syzygiai were as following:
Gemini-Leo
Taurus-Virgo
Aries-Libra
Pisces-Scorpio
Sagittarius-Aquarius
Aries, Cancer, Libra and Capricorn do not form syzygiai.
Then he proceeds to explain that these syzygiai are no longer valid because the summer solstice point (Geminus used the summer solstice point and not the vernal point for his calculations) no longer was in the Cancer but between Cancer and Gemini. Then he corrects the syzygiai to reflect the stellar reality as following:
Cancer-Gemini
Capricorn-Sagittarius
Taurus-Leo
Aries-Virgo
Libra-Pisces
Scoprio-Aquarius
I wrote all these, to show that the hellenistic astrologers had the habit of always taking in account whatever the sky showed them and corrected older observational data if it was no longer valid. This is why they actually (and accidentally) discovered the precession. Geminus was a student of Poseidonius the Stoic, who had opened a School in Rhodes. Hipparchus (who is credited with discovering precession) also studied there and was concurrent with Geminus.
Now, the whole tropical/sidereal issue will sometime eventually come into a solution. I have done a thorough research on the system that was used during the hellenistic period and what I found out favours neither the contemporary tropical method nor the contemporary sidereal method. Why?
Tropical method is seasonally aligned but lacks stellar alignment. Sidereal method is stellar aligned but lacks seasonal alignment. In the hellenistic period, the system that was used was both seasonal- and stellar- aligned. We do not have this today. Both systems we use today are not correct from the hellenistic point of view.
Furthermore, there is one more problem that makes the development of a seasonal/stellar system very difficult. But I think I bored you enough for today, so we may discuss this at another time.