Are Divisional Charts Really Charts?
Three Questions on Vargas, Siddhānta and the Logic of Divisional Charts Analysis in Jyotiṣa
The term “divisional charts” has become very common in modern Jyotiṣa. The expression itself contains two important ideas: division and chart. Something is first divided, and then the resulting divisions are represented as charts.
This raises a fundamental question: what exactly is being divided, and what is the nature and scope of the resulting division?
The discussion that follows raises three basic questions about the common practice of treating Vargas such as the Navāṁśa (D9), Saptāṁśa (D7), Daśāṁśa (D10), and other divisions as fully fledged charts in which conjunctions, aspects, and other chart-based concepts are independently examined.
The questions are not about divine grace or spiritual authority. They concern the mathematical, astronomical and logical basis of the practice.
1. What Exactly Is Being Divided?
The first question is simple:
When we speak of a Varga or division, what is being divided—the entire zodiac or a sign?
The scope of a Varga is the sign.
Consider the ordinary Rāśi chart, or D1. A planet occupies a particular sign. That sign extends over 30 degrees. When that sign is divided, the resulting portions are the Aṁśas within that sign.
For example:
- Navāṁśa divides a sign into 9 parts.
- Triṁśāṁśa divides a sign into 30 parts.
- Horā divides a sign into 2 parts.
- Drekkāṇa divides a sign into 3 parts.
The question, therefore, is: which portion of the sign does the planet occupy?
This is a straightforward mathematical idea. If a distance is divided by five, the result is still a division of that distance. If time is divided by three, the result remains a unit of time. The unit does not suddenly become something entirely different.
Likewise, if a sign is divided by a number, the result is a division within that sign.
It follows that a Navāṁśa is a division of a sign—a Navāṁśa, or ninth portion—not necessarily a separate chart representing the entire 360-degree zodiac.
This distinction is important because the traditional terminology itself is significant. The term Rāśi Chakra is found in Jyotiṣa texts, whereas the expression Varga Chakra is not being used in the same sense. The traditional terminology speaks of Vargas, meaning divisions.
A sign is divided into Aṁśas. If it is divided into nine parts, those portions are called Navāṁśas. If divided into twelve, they are Dvādaśāṁśas. If divided into seven, they are Saptāṁśas.
The Aṁśa is therefore a portion within the sign.
The jurisdiction of a Varga
This leads to an important analogy.
In computer programming, a local variable has a defined scope. It belongs to a particular block of code. Taking that variable outside its defined scope can produce an error because it is not a global entity.
Similarly, the jurisdiction of a city mayor or collector is confined to a particular geographical jurisdiction. It does not automatically extend to an entire state or country.
In the same way, a Navāṁśa, Dvādaśāṁśa, Drekkāṇa or other division is limited to the sign being divided.
The division begins within the sign and ends within that sign. When the next sign is reached, the division begins again.
This raises the first fundamental question:
If the scope of a division is a sign, why should that division be expanded into an entire 360-degree chart?
If the division concerns only a particular sign, the rationale for constructing a complete zodiacal chart from those divisions needs to be examined.
2. What Happens to Basic Siddhānta Astronomy?
The second question concerns Siddhānta—the astronomical and mathematical foundation of Jyotiṣa.
If a divisional representation is treated as a complete chart, and conjunctions and aspects are examined within it, then those relationships should also preserve the basic astronomical relationships between the planets.
Consider the most straightforward example: Amāvasyā and Pūrṇimā.
On Amāvasyā, the Sun and Moon are together or very close together in longitude. On Pūrṇimā, the Sun and Moon are opposite one another.
If the Sun is in one position on a Pūrṇimā day, the Moon must be approximately opposite it. If it is Amāvasyā, the Moon must be close to the Sun.
These are not interpretive principles. They are basic astronomical relationships.
Now consider what happens when the same Sun and Moon are mapped into multiple divisional representations.
If D9, D7, or another Varga is treated as an independent chart in which conjunctions and aspects are interpreted, a question arises:
Do the basic astronomical relationships between the Sun and Moon remain consistent across all sixteen divisional representations?
If a Pūrṇimā relationship between Sun and Moon is not represented as opposition in every such chart, and an Amāvasyā relationship is not represented as conjunction in every such chart, then what exactly does a conjunction or aspect in that divisional representation mean?
The issue becomes even more striking with retrograde planets.
For the outer planets traditionally considered in this context—Mars, Jupiter and Saturn—a retrograde planet cannot be positioned arbitrarily close to the Sun. When such a planet is retrograde, it cannot be immediately adjacent to or conjunct the Sun in the way that may appear in a constructed divisional representation.
In an actual Rāśi chart, these astronomical relationships are preserved because the chart represents the actual planetary positions.
But if a divisional representation shows, for example, a retrograde Mars, Jupiter or Saturn conjunct the Sun, the astronomical relationship has become impossible.
This raises a fundamental Siddhānta question:
Can a representation be called a chart if it produces planetary relationships that cannot occur astronomically?
Jyotiṣa, Siddhānta and Phalita
This question is especially important because Jyotiṣa has traditionally integrated astronomy, mathematics and astrology.
Varāhamihira, who wrote works dealing with both astrology and astronomy, emphasized the importance of knowledge of Siddhānta for the practice of Phalita Jyotiṣa.
Phalita concerns the interpretation and prediction of events in a person's life. Siddhānta concerns the astronomical and mathematical foundations underlying the calculations.
The two are therefore not unrelated subjects.
The tradition includes major astronomical works such as the Sūrya Siddhānta, as well as the astronomical and mathematical works associated with figures such as Āryabhaṭa and Bhāskarācārya.
The point is not to invoke authority or spiritual status. The point is that the astronomical and mathematical logic underlying planetary positions is already present within the Jyotiṣa tradition.
Therefore, when software calculates a chart, it is applying mathematical rules and astronomical calculations. There is no need to invoke “divine grace” to explain a mathematical contradiction.
The question is simply whether the calculation and its interpretation are consistent with the underlying astronomical facts.
3. Can D30 and D2 Actually Be Drawn as Complete Charts?
The third question concerns the structure of the Vargas themselves.
Suppose D9 is called a chart. Suppose D7, D10, D60 and the other Vargas are also called charts.
Then consider D30, the Triṁśāṁśa, which is part of the traditional Ṣaḍvarga framework.
The classical descriptions of Triṁśāṁśa do not provide all twelve zodiacal signs as possible occupants. The divisions are assigned to the five non-luminary planets, and consequently Cancer and Leo are not available as signs in the same manner as in the complete zodiac.
This raises a simple structural question:
How can a complete twelve-house chart be constructed when all twelve signs cannot occur in it?
The same issue arises with D2, the Horā.
According to the classical definitions, only signs or places of Sun and Moon (Leo and Cancer) are involved in the Horā division.
Therefore, if D9 can be called a chart, why should D2 and D30 not also be called charts?
Both belong to the traditional Varga systems. D30 is part of Ṣaḍvarga, and the broader tradition also discusses Ṣoḍaśavarga, the sixteen Vargas.
The question is not whether D30 or D2 has interpretive value.
The question is more basic:
Can something be constructed as a complete zodiacal chart when its classical definition does not provide all twelve signs?
If a chart requires twelve houses and twelve signs, but a particular Varga can contain only a restricted set of signs, then perhaps what is being represented is not a conventional chart at all.
It may instead be a table or matrix showing the destination of planets within the relevant divisions.
What About Classical References to Aspects?
One possible response is to point to verses in the classical literature that discuss planets occupying particular Aṁśas and being aspected by other planets.
But that creates another question:
Where is it explicitly stated that such aspects are to be calculated within a separately constructed divisional chart?
For example, if a classical verse discusses a planet occupying a particular Triṁśāṁśa and being aspected by another planet, the reference does not necessarily require a separate D30 zodiacal chart.
The mention of the Triṁśāṁśa may simply identify which division of the sign the planet occupies, while the aspect may still refer to the Rāśi chart.
This distinction is important.
The existence of a reference to a planet's Aṁśa does not by itself establish that the entire Varga should be converted into an independent chart with its own houses, conjunctions and aspects.
If D30 itself cannot contain all twelve signs according to its classical definition, then the question of aspects within a twelve-house D30 chart becomes even more difficult.
The Three Questions
The entire issue can therefore be reduced to three basic questions.
Question 1 — What is the scope of a Varga?
Is a division a division of:
- the 30-degree sign, or
- the entire 360-degree zodiac?
If the scope of the division is the sign, then why should the result be expanded into an entire zodiacal chart?
A planet occupies a specific point in the sky. The purpose of the Varga is to identify which particular division of the sign contains that point.
Question 2 — Does the divisional representation preserve Siddhānta?
If a Varga is a complete chart, then basic astronomical relationships should remain meaningful within it.
Why, for example, would the Sun and Moon fail to remain opposite in a representation of Pūrṇimā or fail to remain together in a representation of Amāvasyā?
Similarly, why would a retrograde outer planet appear conjunct the Sun in a divisional representation when such a configuration cannot occur in the actual sky?
If these contradictions arise because the zodiac has been mathematically transformed into a divisional table, then perhaps the problem lies in treating the table as though it were a physical chart.
Question 3 — Can D30 and D2 be drawn as complete charts?
If D9, D7 and D60 are charts, then can D30 and D2 also be drawn as charts according to their classical definitions?
If D30 cannot contain all twelve signs, and D2 is restricted to Cancer and Leo, how can either be represented as a conventional twelve-sign zodiacal chart?
The question is not whether these Vargas are useful.
The question is whether they are charts in the same sense as the Rāśi Chakra.
Varga as a Sign-Division, Not a Second Zodiac
The alternative proposed by this line of reasoning is straightforward.
There is one Rāśi Chakra—the D1 chart.
The Vargas provide divisions within the signs of that chart. They tell us where a planet's particular degree falls within a specific division.
Thus, when examining a Navāṁśa, one asks:
Which Navāṁśa does this planetary degree occupy, and which sign is assigned to that Navāṁśa?
The same principle can be applied to Drekkāṇa, Dvādaśāṁśa, Triṁśāṁśa and the other divisions.
The important information is the sign into which the planetary degree falls within the relevant division.
The division is therefore a table or matrix of sign assignments rather than a second physical zodiac.
The same applies to the Ascendant. The Ascendant is a specific point in the sky. Its degree falls within a particular division of its sign. That division tells us the relevant Aṁśa.
The essential information is therefore:
Where has the planetary or Ascendant degree fallen, and which sign does that division correspond to?
A Final Position
The discussion can be summarized simply.
There is a distinction between a Rāśi Chakra and a Varga.
The Rāśi Chakra represents the zodiacal framework. The Vargas divide the signs into smaller portions and identify the particular sign associated with the portion occupied by a planetary degree.
On this view, D9, D10, D30, D60 and the other divisions are not additional complete zodiacs. They are divisional tables or matrices that tell us which sign a planet has entered through the relevant division.
Consequently, the interpretation of conjunctions, aspects and other chart-based concepts within such representations requires careful examination.
The three questions remain:
- What is the scope of the division—a sign or the entire 360-degree zodiac?
- How are basic Siddhānta relationships such as Sun–Moon opposition at Pūrṇimā and conjunction at Amāvasyā, or the astronomical restrictions on retrograde planets, preserved in a divisional chart?
- Can D30 and D2 actually be constructed as complete twelve-sign charts according to their classical definitions?
These are mathematical and astronomical questions. They do not require a debate about who possesses greater spiritual authority or divine grace.
If these questions can be answered clearly and factually, then the question of using conjunctions, aspects and other chart-based techniques in divisional representations can be examined thereafter.
The position presented here is therefore not that Vargas are useless. Quite the opposite: the divisions are important. What is questioned is the practice of treating those divisions as independent full-fledged charts.
The practical approach is simple:
Take the planet's actual position in the Rāśi chart, determine which division of its sign it occupies, and note the sign associated with that division.
That is what the Varga tells us.
The central question is whether anything more should be imposed upon it.
Author : Partho Banerjee
