B.Sc., Computer Software Engineering Jerusalem College of Technology
אלדא"ושאר" ? " RH = Friday Avoid 2 consecutive days YK on Sunday without cooking Avoid 2 consecutive days RH = Wed without burial ( דובכתמה ) YK on Friday RH = Sun Never cancel the mitzvah of Hoshana Rabba Hakafot with the Aravah. on Shabbat
.שורדת לב ןקז דלומ 2 Molad Zaken Molad Rosh Tishrei Hashanah is postponed to > the next possible day. 18h / 12pm
Length of Hebrew Year How many days Year Year Year Type does Rosh Length Length ןושחולסכ Hashanah move? ח ,כ ,ש Regular Gravid Regular Gravid ח הרס 353d 383d 3 5 Incomplete 29 29 Chaseirah = 50w 3d =54w 5d כ הרדס 354d 384d 4 6 29 30 Kesidrah =50w 4d =54w 6d Regular ש המיל 355d 385d 5 0 30 30 Shleimah =50w 5d =55w 0d Complete
Year Type Possibilities Rosh Hashanah Rosh Hashanah NEXT Year THIS year Chaseirah 353 Kesidrah 354 Shleimah 355 (+3) (+4) (+5) Mon 1. Thursday Friday 2. Shabbat Tues Friday 3. Shabbat Sunday Thurs Sunday 4. Monday 5. Tuesday Shabbat 6. Tuesday Wednesday 7. Thursday Rosh Hashanah Rosh Hashanah NEXT Year THIS Chaseirah 383 Kesidrah 384 Shleimah 385 (+5) (+6) (+0) Leap Year Mon 8. Shabbat Sunday 9. Monday Tues Sunday 10. Monday Tuesday** Thurs 11. Tuesday Wednesday 12. Thursday Shabbat 13. Thursday Friday 14. Shabbat ** This never occurs. If RH of a leap year is Tuesday, the year is always kesidrah . because the molad of the year following is Sunday or before noon on Monday, so there is never a reason to push RH off to Tuesday.
.רטג"דשורג הטושפב 3 MOLAD רטג"ד Simple Year Tuesday 3d 9h 204p RH Tuesday + Tekufah Shift 4d 8h 876p Next Molad 7d 18h 0p Zaken & AD”U RH should be Monday Rosh Hashanah Rosh Hashanah NEXT Year THIS year Chaseirah 353 Kesidrah 354 Shleimah 355 (+3) (+4) (+5) Mon Thursday Friday 2. Shabbat 1. Tues Friday 3. Shabbat Sunday Thurs Sunday 4. Monday 5. Tuesday Shabbat 6. Tuesday Wednesday 7. Thursday Not possible! Would require a year of 356 days!
.טב" ופקת"ט רוקע רוביעה רחאשורשלמ 4 MOLAD טב"פקת ו"ט AFTER a Leap Year Tuesday noon+ 3d 18h 0p Zaken & Ad”u ( RH Thursday ) + Gravid Tekufah Shift 5d 21h 589p Next Molad 2d 15h 589p RH should be Monday Rosh Hashanah Rosh Hashanah NEXT Year THIS Chaseirah 383 Kesidrah 384 Shleimah 385 (+5) (+6) (+0) Leap Year Mon 8. Shabbat Sunday 9. Monday Tues Sunday 10. Mon Tuesday** Thurs 11. Tuesday Wednesday 12. Thursday Shabbat 13. Thursday Friday 14. Shabbat Not possible! Would require a year of 382 days!
Summary: 4 Dechiyot אלדא"ו RH can never fall on Sunday, Wednesday or Friday שאר When Molad Tishrei falls לב ןקז דלומ 18h+ (noon), RH is postponed שורדת to the next available day רטג"ד הטושפב When Molad Tishrei introducing a simple year falls 3d 9h 204p or later, שורג RH is postponed from Tues to Thurs טב" ופקת"ט רחא When Molad Tishrei following a רוקע רוביעה gravid year falls 2d 15h 589p, RH is postponed from Mon to Tues שורשלמ
VI. The עיבק ( K’vi’a ) 14 Year Types
Year Type Possibilities Rosh Hashanah Rosh Hashanah NEXT Year THIS year Chaseirah 353 Kesidrah 354 Shleimah 355 (+3) (+4) (+5) Mon 1. Thursday Friday 2. Shabbat Tues Friday 3. Shabbat Sunday Thurs Sunday 4. Monday 5. Tuesday Shabbat 6. Tuesday Wednesday 7. Thursday Rosh Hashanah Rosh Hashanah NEXT Year THIS Chaseirah 383 Kesidrah 384 Shleimah 385 (+5) (+6) (+0) Leap Year Mon 8. Shabbat Sunday 9. Monday Tues Sunday 10. Monday Tuesday** Thurs 11. Tuesday Wednesday 12. Thursday Shabbat 13. Thursday Friday 14. Shabbat ** This never occurs. If RH of a leap year is Tuesday, the year is always kesidrah . because the molad of the year following is Sunday or before noon on Monday, so there is never a reason to push RH off to Tuesday.
14 Year Types RH Rosh Hashanah NEXT Year THIS year Chaseirah Kesidrah Shleimah Simple Gravid Simple Gravid Simple Gravid Friday Sunday Mon 1. Thursday 2. Shabbat 3. Shabbat 4. Monday Friday Sunday 5. Shabbat 6. Monday Sunday Tuesday Tues Sunday 7. Tuesday 8. Monday Wed 9. Tuesday 10. Thurs . Thurs 11. Tuesday 12. Thursday Wed Friday 13. Thurs . 14. Shabbat Shabbat
Holiday Dates Relationship between Relationship between Holidays & Pesach Pesach & RH 1 st day of … Day of Letter Fixed Days Pesach Months Remaining את ת באב העש Nisan 15 בש ש תועוב Iyar 29 גר ר הנשה שא Sivan 30 דק הרות תחמש Tamuz 29 ( ק האיר) Av 30 הצ םוי צ רופכ םו Ellul 29 Tishrei (RH) 1 ופ פ םירו Pesach III = 163 days = זע ה םוי ע תואמצ RH I 23w 2d
אלדא"ו שאר = אלדב"וחספ RH Rosh Hashanah NEXT Year THIS year Chaseirah Kesidrah Shleimah Simple Gravid Simple Gravid Simple Gravid Friday Sunday Mon 1. Thursday 2. Shabbat 3. Shabbat 4. Monday Friday Sunday 5. Shabbat 6. Monday Sunday Tuesday Tues Sunday 7. Tuesday 8. Monday Wed 9. Tuesday 10. Thurs . Thurs 11. Tuesday 12. Thursday Wed Friday 13. Thurs . 14. Shabbat Shabbat 1 st Day of Pesach THIS Year RH Chaseirah Kesidrah Shleimah THIS year Simple Gravid Simple Gravid Simple Gravid Mon 1. Tuesday 2. Thursday 3. Thursday 4. Shabbat Wed Friday Tues 5. Thursday 6. Shabbat Wed. Friday Friday Sunday Thurs 7. Sunday 8. Shabbat 9. Sunday 10. Tues. Friday Monday Shabbat 11. Sunday 12. Tuesday 13. Tues. 14. Thurs. Monday Wed.
1 st Day of Pesach THIS Year RH Chaseirah Kesidrah Shleimah THIS year Simple Gravid Simple Gravid Simple Gravid Mon 1. Tuesday 2. Thursday 3. Thursday 4. Shabbat Wed. Friday Tues 5. Thursday 6. Shabbat Wed. Friday Friday Sunday Thurs 7. Sunday 8. Shabbat 9. Sunday 10. Tues. Friday Monday Shabbat 11. Sunday 12. Tuesday 13. Tues. 14. Thurs. Monday Wed. 4 Variables with 14 possible configurations RH PESACH Only 3 variables needed to Year determine year configuration Type Leap p Ye Year ar
The K’vi’ah ( העיבק ) The following three variables define a K’vi’ah . They also tell us if the year is a Simple or Gravid year. 1 st Day RH א-ז 0-6 (0=Shabbat) 0 = Chaseirah Year Type ח ,כ ,ש 1 = Kesidrah 2 = Shleimah 1 st Day Pesach א-ז 0-6 (0=Shabbat)
14 K’via Types 1 ST DAY OF PESACH THIS YEAR RH Chaseirah Kesidrah Shleimah THIS year Simple Gravid Simple Gravid Simple Gravid Tuesday 3. Thurs. 4. Shab. 2. Thursday 1. Mon Wed. Friday 5. Thurs. 6. Shabb. Tues Wed. Friday Friday Sunday 7. Sunday 8. Shabb. 9. Sunday 10. Tues. Thurs Friday Monday 11. Sunday 12. Tuesday 13. Tues. 14. Thurs. Shabbat Monday Wed.
14 K’via Types – Hebrew 1 ST DAY OF PESACH THIS YEAR RH Chaseirah Kesidrah Shleimah THIS year Simple Gravid Simple Gravid Simple Gravid Tuesday 2. Thursday 3. Thurs. 4. Shab. 1. Mon Wed. Friday חב"ג חב"ה שב"ה שב"ז 5. Thurs. 6. Shabb. Tues Wed. Friday Friday Sunday כג"ה כג"ז 7. Sunday 8. Shabb. 9. Sunday 10. Tues. Thurs Friday Monday חה"א כה"ז שה"א שה"ג 11. Sunday 12. Tuesday 13. Tues. 14. Thurs. Shabbat Monday Wed. חז"א חז"ג שז"ג שז"ה
Frequency of 14 K’vi’ah Types K’vi’ah RH Year Type Pesach Frequency 001 –חז"א Shabbat Chaseirah Sunday 4.0% 003 –חז"ג Shabbat Chaseirah Tuesday 5.7% 023 –שז"ג Shabbat Shleimah Tuesday 13.8% 025 –שז"ה Shabbat Shleimah Thursday 4.5% 203 –חב"ג Monday Chaseirah Tuesday 6.1% 205 –חב"ה Monday Chaseirah Thursday 6.1% 225 –שב"ה Monday Shleimah Thursday 11.3% 220 –שב"ז Monday Shleimah Shabbat 4.9% 315 –כג"ה Tuesday Kesidrah Thursday 6.1% 310 –כג"ז Tuesday Kesidrah Shabbat 5.3% 501 –חה"א Thursday Chaseirah Sunday 3.6% 510 –כה"ז Thursday Kesidrah Shabbat 18.2% 521 –שה"א Thursday Shleimah Sunday 3.6% 523 –שה"ג Thursday Shleimah Tuesday 6.9%
The “Rare” Year: Pesach on Sunday PESACH RH MOLAD TISHREI FREQUENCY Sunday Tuesday Tuesday, before 9h 204p 11% Tuesday Thursday Wednesday OR Thursday 33% Thursday Shabbat Friday OR Shabbat 28% Shabbat Monday Sunday OR Monday 28% Simple Year עיבק Frequency Gravid Year עיבק Frequency 001 –חז"א 4.0%003 –חז"ג 5.7% 023 –שז"ג 13.8%025 –שז"ה 4.5% 203 –חב"ג 6.1%205 –חב"ה 6.1% 225 –שב"ה 11.3%220 –שב"ז 4.9% 315 –כג"ה 6.1% 310 –כג"ז 5.3% 510 –כה"ז 18.2%501 –חה"א 3.6% 521 –שה"א 3.6%523 –שה"ג 6.9% Simple Years 63.1% Leap Years 7/19 37%
Building a K’vi’ah Molad # in leap Given Tishrei year cycle Steps to Molad Tishrei Dechiyot K’vi’ah K’vi’ah next year
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