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In Vedic astrology a minimum of two charts are done, the basic birth chart (Rashi Chakra) and the harmonic ninth (Navamsha). Frequently six and often as many as sixteen such charts may be considered. These harmonic charts provide more detail and specificity in the delineation of planetary influences. Some Western astrologers have begun to use harmonic charts, based upon the Hindu model. Yet they calculate these harmonic charts in what is sometimes a different manner than the Vedic one. They simply multiply the longitude of the planet. For a harmonic fifth of a planet for example, they multiply the longitude of the planet by five. Hence if a planet is at 20 degrees Taurus its zodiacal longitude is 50 degrees; that is, it is 50 degrees from the beginning of the zodiac at 0 Aries. Multiplying this by five we get 250 degrees or 10 degrees Sagittarius as its harmonic fifth position.

The Vedic system considers harmonic placement by sign only, not by degrees. Some of these, like the harmonic thirtieth, are not arrived at by simply multiplying the longitude of the planet.

As the calculation of these charts is time consuming, it is also best to do it by computer. The following are the general rules should you wish to do it yourself. It is helpful to know the principles behind the calculation of these charts.

HARMONIC SECOND (HORA)

The Hora chart is simple as it is the most basic of the harmonic charts. The first half of odd signs like Aries is ruled by the Sun, the second half by the Moon.

Conversely the first half of even signs, like Taurus, is ruled by the Moon, the second half by the Sun.

For example, if Mars is located in 20 degrees Virgo, as it is in the second half of an even sign, it would be in the Hora of the Sun. Hence the Hora chart only gives solar or lunar status of planets and does not place them in signs like the other harmonic charts.

HARMONIC THIRD (DREKKANA OR DECANATE) In this harmonic the first third or ten degrees 00 00--10 00 of any sign is ruled by itself. The middle third, 10 00--20 00, is ruled by the subsequent sign of the same element. The last third, 20 00--30 00, is ruled by the final sign of the same element.

For example, the first third of Sagittarius is in the harmonic third of Sagittarius, the second third in the harmonic third of Aries, the last third in the harmonic third of Leo. Hence if Saturn is located in a birth chart at 15 20 Sagittarius, it would be in the harmonic third of Aries.

Western astrology has long used the decanate but usually calculates it differently. It makes the first third of a sign that of the cardinal sign of the element, the second that of the fixed sign and the last that of the mutable sign. Hence it sees the first third of Sagittarius as Aries, the second as Leo and the third as Sagittarius.

HARMONIC FOURTH (CHATURTAMSHA)

Each sign is divided into four equal parts. The first fourth (00 00--07 30) is the same as the sign itself. The second fourth (7 30--15 00) is under the next sign of the same quality. The third fourth (15 00--22 30) follows the following sign of the same quality, and the last fourth (22 30--30 00 is of the final sign of the same quality.

For example, the first fourth of Aries is Aries, the second is Cancer, the third is Libra and the last is Capricorn. Hence if Venus is located at 20 15 Aries, it would be in the third harmonic fourth, that of Libra, the third cardinal sign from Aries.

HARMONIC SEVENTH (SAPTAMSHA)

Each sign is divided into seven equal parts of 04 17' 09". The first seventh of odd signs is governed by the sign itself with the rest following the signs in order through the zodiac. For even signs, the first seventh corresponds to the sign seventh from it, and the rest follow in order from that.

Hence the first seventh of Aries, an odd sign, is Aries, the second Taurus, the third Gemini and so on to Libra. The first seventh of Taurus, an even sign, would be Scorpio, the sign seventh from it. The second seventh division would be Sagittarius, the third Capricorn and so on to Taurus as its last seventh. In this way we are merely going through the signs in order. The following are the harmonic seventh divisions of the sign.

Thus if the Moon is located at 25 10 Taurus it would be in the sixth division, which would be Aries (sixth from Scorpio).

HARMONIC NINTH (NAVAMSHA)

Each sign is divided into nine equal parts of 3 20'. The first ninth of a sign is governed by the cardinal sign of that element, followed by the rest of the signs from it in order through the zodiac.

In this way the first ninth of Gemini (mutable air) is Libra (cardinal air), the second is Scorpio, the third is Sagittarius and so on all the way to Gemini at the end as the last ninth of its own sign.

1. |
00 |
00--- |
--03 |
20 |

2. |
03 |
20--- |
--06 |
40 |

3. |
06 |
40--- |
--10 |
00 |

4. |
10 |
00--- |
--13 |
20 |

5. |
13 |
20--- |
--16 |
40 |

6. |
16 |
40--- |
--20 |
00 |

7. |
20 |
00--- |
--23 |
20 |

8. |
23 |
20--- |
--26 |
30 00 Hence if a planet, say Jupiter is at 22 40 Scorpio, it is in the seventh Navamsha. As Scorpio is a fixed water sign, its first ninth would be cardinal water or Cancer and its seventh would be Capricorn. This places Jupiter in Capricorn in the Navamsha. HARMONIC TENTH (DASHAMSHA) Here each sign is divided into ten equal portions of 3 degrees each. The first tenth of Aries is Aries; the first tenth of Taurus is Capricorn; that of Gemini is Gemini; that of Cancer is Pisces; that of Leo is Leo; that of Virgo is Taurus; that of Libra is Libra; that of Scorpio is Cancer; that of Sagittarius is Sagittarius; that of Capricorn is Virgo; that of Aquarius is Aquarius; and that of ## Pisces is Scorpio.Hence the rule is that the first tenth of odd signs is itself, that of even signs is of the sign ninth from them. Again we are just counting the signs off in order from the first tenth of Aries as Aries. If the Sun is in 08 30 Gemini, for example, it would be in the third Dashamsha, which would be Leo. HARMONIC TWELFTH (DWADASHAMSHA) Each sign is divided into equal sections of 2 30'. The first twelfth of each sign is the same as the sign itself with the rest counted off in order through the zodiac. 3. 05 00--07 30 6. 12 30--15 00 9. 20 00--22 30 12. 27 30--30 00 If Mercury is in 09 35 of Virgo, it would be in the fourth Dwadashamsha or Sagittarius. HARMONIC SIXTEENTH (SHODASHAMSHA) Each sign is divided into sixteen equal parts of 1 degree, 52' 30". The first sixteenth of all cardinal signs begins with Aries; that of all fixed signs begins with Leo; that of all mutable signs with Sagittarius and the rest are counted off in order from these. HARMONIC TWENTIETH (VIMSHAMSHA) Each sign is divided into twenty equal parts of 1 degree, 30'. The first twentieth of all cardinal signs begins with Aries; of all fixed signs Sagittarius; and of all mutable signs Leo and the rest are counted off in order from these. HARMONIC TWENTY-FOURTH (SIDDHAMSHA) Each sign is divided off into twenty four equal parts of 1 degree, 15'. All odd signs begin with Leo and all even signs with Cancer, with the rest counted off from these. HARMONIC TWENTY-SEVENTH (BHAMSHA) Each sign is divided into twenty seven equal parts of 1 degree, 06' 40". All fiery signs begin with Aries, all earthly with Cancer, all airy with Libra and all watery with Capricorn. Again the rest are counted off in order from these. HARMONIC THIRTIETH (TRIMSHAMSHA) This chart is done in a peculiar way, the explanation for which I have not seen. With odd signs the first five degrees, 00 00--05 00 corresponds to Aries, the next five, 05 00--10 00, to Aquarius, the next eight, 10 00--18 00 to Sagittarius, the next seven, 18 00--25 00, to Gemini, and the last five, 25 00--30 00, to Libra. For even signs the first five degrees, 00 00--05 00, relate to Taurus, the next seven 05 00--12 00 to Virgo, the next eight, 12 00--20 00 to Pisces, the next five, 20 00--25 00 to Capricorn, and the last five, 25 00--30 00 to Scorpio. There are no harmonic thirtieth positions in Cancer or Leo. HARMONIC FORTIETH (CHATURVIMSHAMSHA) Each sign is divided into forty equal parts of 45 minutes each. All odd signs begin with Aries and all even signs with Libra, with the rest counted off in order from these. HARMONIC FORTY-FIFTH (AKSHA VEDAMSHA) Each sign is divided into forty five equal parts of 40 minutes. All cardinal signs begin with Aries; all fixed signs with Leo; and all mutable signs with Sagittarius, with the rest counted off in order from these. HARMONIC SIXTIETH (SHASHTIAMSHA) Each sign is divided into sixty equal parts of 30 minutes. Each sign starts with itself and the other divisions are counted off in order of the zodiac. These sixteen harmonic charts (which includes the birth chart or Rashi Chakra) are called "Shodashavarga", the group of sixteen. "Shadvarga", the group of six, consists of the birth chart, the harmonic second, third, ninth, twelfth and thirtieth. When the harmonic seventh is added to these it becomes the "Saptavarga" or group of seven. Adding the harmonic tenth, sixteenth and sixtieth, we get "Dashavarga", the group of ten. |

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