Difference between revisions of "Determining the Day of the Month of the Molad of Tishri"
(Created page with "'''Back to The Truth About God’s Calendar''' ---- '''Back to By David C. Pack''' ---- Copyright © 2011 The Restored Church of God. All Rights Reserved. Before introd...") |
|||
Line 8: | Line 8: | ||
Before introducing any new concepts, a brief review would reinforce what has already been covered. A 19-year time cycle includes 12 common years and 7 leap years. The linear pattern previously used shows the breakdown of years: | Before introducing any new concepts, a brief review would reinforce what has already been covered. A 19-year time cycle includes 12 common years and 7 leap years. The linear pattern previously used shows the breakdown of years: | ||
− | 1 | + | 1 2 '''3''' 4 5 '''6''' 7 8 9 10 '''11''' 12 13 '''14''' 15 16 '''17''' 18 '''19''' |
+ | |||
Counting the years not underlined in this pattern gives us the 12 common years. The underlined years are the 7 leap years. | Counting the years not underlined in this pattern gives us the 12 common years. The underlined years are the 7 leap years. | ||
Line 24: | Line 25: | ||
Now we need to express the 19-year time cycles in Julian years, which consist of 365 1/4 days. We now extend this expression: | Now we need to express the 19-year time cycles in Julian years, which consist of 365 1/4 days. We now extend this expression: | ||
− | 365 days | + | |
− | 6 hours | + | {| border="1" cellpadding="8" cellspacing="0" |
− | x 19 | + | |365 days |
+ | |6 hours | ||
+ | |- | ||
+ | |x 19 | ||
+ | |} | ||
+ | |||
Total days (Julian) in a 19 year cycle = 6,935 days 114 hours = 6,939 days 18 hours (reduced) = 6,939 days 17 hours 1,080 parts (equivalent) | Total days (Julian) in a 19 year cycle = 6,935 days 114 hours = 6,939 days 18 hours (reduced) = 6,939 days 17 hours 1,080 parts (equivalent) | ||
Line 36: | Line 42: | ||
Above, we considered the difference in the two relative measurements of time for 19-year time cycles. Now we consider the difference in common years (for Julian vs. Hebrew). These differences are expressed below: | Above, we considered the difference in the two relative measurements of time for 19-year time cycles. Now we consider the difference in common years (for Julian vs. Hebrew). These differences are expressed below: | ||
+ | {| border="1" cellpadding="8" cellspacing="0" | ||
Julian year | Julian year | ||
- | - | ||
Line 43: | Line 50: | ||
difference: | difference: | ||
− | + | {| border="1" cellpadding="8" cellspacing="0" | |
- 10 days | - 10 days | ||
21 hours | 21 hours | ||
Line 50: | Line 57: | ||
Here, we consider the difference between leap years: | Here, we consider the difference between leap years: | ||
+ | {| border="1" cellpadding="8" cellspacing="0" | ||
Hebrew leap year | Hebrew leap year | ||
383 days | 383 days | ||
Line 64: | Line 72: | ||
We can now apply these translation patterns to the following spans of time that we used in the previous section to determine the day of week for the Molad of Tishri of A.D. 1964. We are interested in the day of the month for that same Molad. Thus, from 3761 B.C. to A.D. 1964, we must consider the following: | We can now apply these translation patterns to the following spans of time that we used in the previous section to determine the day of week for the Molad of Tishri of A.D. 1964. We are interested in the day of the month for that same Molad. Thus, from 3761 B.C. to A.D. 1964, we must consider the following: | ||
− | + | {| border="1" cellpadding="8" cellspacing="0" | |
(301) | (301) | ||
19-year time cycles | 19-year time cycles | ||
Line 74: | Line 82: | ||
This calculation is surprisingly simple, and similar to the technique used to establish the day of the week. We will quickly walk through the steps. First, we take the difference in the 19-year time cycles expressed in Julian years as opposed to Hebrew years. We saw that this difference is –1 hour and 485 parts. Multiply this by 301 since there are 301 of the 19-year time cycles involved here, as indicated in the preceding paragraph. Then we will multiply the 4 common years by the difference that applies to the common years. Next, we multiply the 1 leap year by the difference that applies to leap years. Following is an extensive calculation and chart. All of these factors will be illustrated here: | This calculation is surprisingly simple, and similar to the technique used to establish the day of the week. We will quickly walk through the steps. First, we take the difference in the 19-year time cycles expressed in Julian years as opposed to Hebrew years. We saw that this difference is –1 hour and 485 parts. Multiply this by 301 since there are 301 of the 19-year time cycles involved here, as indicated in the preceding paragraph. Then we will multiply the 4 common years by the difference that applies to the common years. Next, we multiply the 1 leap year by the difference that applies to leap years. Following is an extensive calculation and chart. All of these factors will be illustrated here: | ||
− | + | {| border="1" cellpadding="8" cellspacing="0" | |
-1 hour 485 parts (the difference that applies to the 19-year time cycles) | -1 hour 485 parts (the difference that applies to the 19-year time cycles) | ||
Line 96: | Line 104: | ||
We now take the negative totals and combine them. This is then combined with the positive term and the final figure is reduced. | We now take the negative totals and combine them. This is then combined with the positive term and the final figure is reduced. | ||
− | + | {| border="1" cellpadding="8" cellspacing="0" | |
-(301 hours | -(301 hours | ||
145,985 parts) | 145,985 parts) |
Revision as of 16:27, 3 November 2011
Back to The Truth About God’s Calendar
Back to By David C. Pack
Copyright © 2011 The Restored Church of God. All Rights Reserved.
Before introducing any new concepts, a brief review would reinforce what has already been covered. A 19-year time cycle includes 12 common years and 7 leap years. The linear pattern previously used shows the breakdown of years:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Counting the years not underlined in this pattern gives us the 12 common years. The underlined years are the 7 leap years.
Recall these previously covered facts:
(1) An average common year exceeds an even number of weeks by 4 days 8 hours 876 parts.
(2) An average leap year exceeds an even number of weeks by 5 days 21 hours 589 parts.
(3) A 19-year time cycle exceeds an even number of weeks by 2 days 16 hours 595 parts.
Besides these points, remember that the benchmark for calculations is the Molad of Tishri 3761 B.C. This Molad occurred precisely on the 1st day at 23 hours and 204 parts.
Having covered this brief review, you should now be familiar with the technique used to determine the day of the month for the Molad of Tishri. As the calculations are explained, keep in mind that you don’t have to memorize the facts or procedures. We are walking through this process to give you the general understanding as to how the solutions are derived. Without having seen this performed in a general way, it would not be possible to appreciate the incredible precision of the Hebrew calendar. Now we need to express the 19-year time cycles in Julian years, which consist of 365 1/4 days. We now extend this expression:
365 days | 6 hours |
x 19 |
Total days (Julian) in a 19 year cycle = 6,935 days 114 hours = 6,939 days 18 hours (reduced) = 6,939 days 17 hours 1,080 parts (equivalent)
Total days (Hebrew) in a 19 year cycle = 6,939 days 16 hours 595 parts The difference in the 19 Julian years and the 19 Hebrew years = 1 hour 485 parts Since this is a calculation of Hebrew dates, the difference is expressed as -1 hour 485 parts. This difference in the 19-year cycles is expressed in Julian years as opposed to Hebrew years, because the calendar now in use by most of the world is the Roman calendar. If the whole world observed God’s sacred calendar, we would not need this translation procedure.
Above, we considered the difference in the two relative measurements of time for 19-year time cycles. Now we consider the difference in common years (for Julian vs. Hebrew). These differences are expressed below: