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## Chapter 428
**Harivamsha Purana**
**Verse 7**
The sixteen and subsequent holes (randhra) are transformed into 'trika, dvika, karka, yatra-sha, kanaka-avali' which results in the attainment of 'lokantika-tva' (liberation).
**Verse 75**
When doubled, sixteen becomes thirty-two, then adding three, it becomes thirty-five. Adding four to thirty-five, it becomes thirty-nine. Then multiplying thirty-nine by two, it becomes seventy-eight. Adding eleven to seventy-eight, it becomes eighty-nine. Adding sixteen to eighty-nine, it becomes one hundred and five. Adding twenty-four to one hundred and five, it becomes one hundred and twenty-nine. Adding twelve to one hundred and twenty-nine, it becomes one hundred and forty-one. These five months are thus calculated in the scriptures.
**Verse 76**
One, two, three, four, two, one, added to sixteen, are to be known as thirty-two. Then adding two to thirty-two, it becomes thirty-four. Then adding two to thirty-four, it becomes thirty-six. These eight are known as 'dvika' (pairs). This is the 'ratna-avali' (jewel garland) method.
**Explanation**
Adding the number of 'dvika' (pairs) to fifty-six, which is three times seventy-four, we get one hundred and sixty-eight. Adding this to one hundred and sixty-eight, we get three hundred and thirty-six. This is the number of fasts. As there are eighty-eight 'sthana' (places), there are eighty-eight 'parana' (breaking of fast). This 'kanaka-avali' method takes one year, five months, and twelve days.
**Another method of 'ratna-avali'**
In this method, a garland of jewels is created. On the left side, two dots representing one 'bela' (period) are written as one 'dvika'. Then two dots representing two 'belas' are written as two 'dvika'. Similarly, three dots representing three 'belas' are written as three 'dvika', and four dots representing four 'belas' are written as four 'dvika'. After this, one dot representing one fast is written, followed by two dots representing two fasts, and so on, up to sixteen dots representing sixteen fasts. Then, on the right side, thirty-two 'dvika' representing thirty-two 'belas' are written in a circular manner, increasing in number. Below them, four 'dvika' representing four 'belas' are written. Above the thirty-two 'dvika', sixteen dots representing sixteen fasts, fifteen dots representing fifteen fasts, and so on, down to one dot representing one fast, are written in a row. Then, eight 'dvika' representing eight 'belas', three 'dvika' representing three 'belas', two 'dvika' representing two 'belas', and one 'dvika' representing one 'bela' are written. In this 'vrat' (fast), there are one hundred and twelve 'dvika' (pairs) which are twice the number of fifty-six 'dvika', and two hundred and seventy-two 'dvika' from both sides, making a total of three hundred and eighty-four fasts. There are eighty-eight 'sthana' (places) and eighty-eight 'bhucti-kala' (eating times). This 'vrat' is completed in one year, three months, and twenty-two days. It increases the brilliance of the 'ratna-tray' (three jewels), meaning it purifies the 'ratna-tray'.
**The method is as follows:**
One 'bela' (period) is followed by one 'parana' (breaking of fast). This continues until ten 'belas' are followed by ten 'paranas'. Then one fast is followed by one 'parana', two fasts are followed by one 'parana', three fasts are followed by one 'parana', and so on, until sixteen fasts are reached. Then one 'bela' is followed by one 'parana', and this continues until thirty 'belas' are followed by thirty 'paranas'. Then sixteen fasts are followed by one 'parana', fifteen fasts are followed by one 'parana', and so on, until one fast is followed by one 'parana'.
**Notes:**
1. 'Dvika' means a pair.
2. One, two, nine times three, one, two, three, and so on, up to sixteen. Then thirty-two fasts, then sixteen, fifteen, and so on, down to one. Then nine times fasts, then two, one. This is the 'kanaka-avali'.
3. 'Parana-divasa' is the day of breaking the fast.
4. The duration of the 'kanaka-avali' is one year, five months, and twelve days.
5. 'Giri' is a mountain.
6. 'Anta' means end.