Stars and Heavenly Stems: 131

星甲一百三十一：辰子一千五百六十一，辰丑一千五百六十二，辰寅一千五百六十三，辰卯一千五百六十四，辰辰一千五百六十五，辰巳一千五百六十六，辰午一千五百六十七，辰未一千五百六十八，辰申一千五百六十九，辰酉一千五百七十，辰戌一千五百七十一，辰亥一千五百七十二。

The 131st cycle corresponds to the heavenly stem Jia. Shao Yong used "day" to mark the beginning of an era, "month" to mark a convergence, "star" to mark a cycle, and "chén" to mark a world. Thus, "star Jia 131" refers to the 131st cycle, and "chén Zi 1561" refers to the 1561st world, with the earthly branch being Zi. One cycle encompasses twelve worlds. The 131st cycle includes the 1561st to the 1572nd worlds, each assigned in order to the earthly branches Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai. This completes one full cycle. Each world lasts thirty years, so the 131st cycle spans three hundred and sixty years. Within the total of twelve thousand nine hundred and sixty years of one era, this cycle falls between the fourth thousand six hundred and eighty-first year and the fourth thousand seven hundred and sixtieth year.

星乙一百三十二：辰子一千五百七十三，辰丑一千五百七十四，辰寅一千五百七十五，辰卯一千五百七十六，辰辰一千五百七十七，辰巳一千五百七十八，辰午一千五百七十九，辰未一千五百八十，辰申一千五百八十一，辰酉一千五百八十二，辰戌一千五百八十三，辰亥一千五百八十四。

The 132nd cycle is paired with the Heavenly Stem Yi, being the twelfth cycle within the fifth convergence (Chen convergence) of thirty cycles. It encompasses twelve generations, starting from the 1,573rd generation to the 1,584th generation: the Zi generation is the 1,573rd, Chou the 1,574th, followed by Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai in order, with Hai being the 1,584th. The Earthly Branches complete twelve and then begin again, perfectly matching the structure of one cycle encompassing twelve generations. This cycle spans 360 years, and by the end of the Hai generation, 47,520 years have passed within the great cycle.

星丙一百三十三：辰子一千五百八十五，辰丑一千五百八十六，辰寅一千五百八十七，辰卯一千五百八十八，辰辰一千五百八十九，辰巳一千五百九十，辰午一千五百九十一，辰未一千五百九十二，辰申一千五百九十三，辰酉一千五百九十四，辰戌一千五百九十五，辰亥一千五百九十六。

The 133rd cycle, associated with the heavenly stem Bing, is the thirteenth cycle of the辰 (Chen) group. Below it are twelve consecutive generations, starting from the 1585th generation (Zi) and ending at the 1596th generation (Hai). The remaining ten earthly branches, in order, correspond to the generations from 1586th (Chou) to 1595th (Xu). Shao Yong's generation numbers are a continuous sequence throughout the entire cycle, not restarting with each new cycle, so the numbers keep increasing. The earthly branches, however, cycle every twelve generations, indicating only the position without the total count. This cycle spans 360 years, corresponding to the 47,521st to the 47,880th year of the great cycle.

星丁一百三十四：辰子一千五百九十七，辰丑一千五百九十八，辰寅一千五百九十九，辰卯一千六百，辰辰一千六百一，辰巳一千六百二，辰午一千六百三，辰未一千六百四，辰申一千六百五，辰酉一千六百六，辰戌一千六百七，辰亥一千六百八。

The 134th cycle, paired with the heavenly stem Ding, is the fourteenth cycle of the辰 (Chen) group. The twelve generations of this cycle span from the 1,597th to the 1,608th. The first three generations, corresponding to Zi, Chou, and Yin, still fall within the count of 1,500. Starting from the Mao generation, the count reaches 1,600, so it is recorded as "Chen-Mao 1,600" in the table. The following eight generations, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai, follow sequentially from the 1,601st to the 1,608th. This numerical shift is merely a carry-over in a continuous numbering system and does not indicate any change in the year-counting structure. This cycle lasts 360 years, spanning from the 47,881st to the 48,240th year of the first great cycle.

星戊一百三十五：辰子一千六百九，辰丑一千六百十，辰寅一千六百十一，辰卯一千六百十二，辰辰一千六百十三，辰巳一千六百十四，辰午一千六百十五，辰未一千六百十六，辰申一千六百十七，辰酉一千六百十八，辰戌一千六百十九，辰亥一千六百二十。

The 135th cycle, with the heavenly stem Wu, resides in the Chén (Earth Dragon) branch and belongs to the fifteenth cycle. It is exactly halfway through the thirty cycles of that particular group. The twelve generations under this cycle range from the 1609th generation (Zi) to the 1620th generation (Hai). The Yín (Rat) generation is the 1611th, the Mǎo (Ox) generation is the 1612th, and the following generations increase by one each time. When viewed in combination, by the end of this cycle, the fifth group has completed 180 generations and 5,400 years, which is exactly the midpoint of one group's 10,800 years. This cycle itself spans 360 years, corresponding to the period from the 48,241st to the 48,600th year of the great cycle.

星己一百三十六：辰子一千六百二十一，辰丑一千六百二十二，辰寅一千六百二十三，辰卯一千六百二十四，辰辰一千六百二十五，辰巳一千六百二十六，辰午一千六百二十七，辰未一千六百二十八，辰申一千六百二十九，辰酉一千六百三十，辰戌一千六百三十一，辰亥一千六百三十二。

The 136th cycle, with the heavenly stem Ji, corresponds to the 16th cycle. The twelve generations are numbered from the 1,621st to the 1,632nd, each branch of the earthly stems ruling one generation, with none repeating. The ten heavenly stems reach Ji at the sixth position, while the earthly branches complete a full cycle each cycle. Since the heavenly stem name repeats every ten cycles and the earthly branch name repeats every cycle, the same "star Ji" appears only after ten cycles, whereas "Chen Zi" appears at the beginning of each cycle. This cycle lasts 360 years, from the 48,601st to the 48,960th year of a great cycle.

星庚一百三十七：辰子一千六百三十三，辰丑一千六百三十四，辰寅一千六百三十五，辰卯一千六百三十六，辰辰一千六百三十七，辰巳一千六百三十八，辰午一千六百三十九，辰未一千六百四十，辰申一千六百四十一，辰酉一千六百四十二，辰戌一千六百四十三，辰亥一千六百四十四。

The 137th cycle, with the heavenly stem Geng, corresponds to the 17th cycle of the Chen assembly. This cycle encompasses the 1633rd to the 1644th generations: the Zi generation is the 1633rd, followed in order by Chou, Yin, Mao, Chen, Si, and Wu, reaching the Wei generation exactly at the 1640th. Then the generations Shen, You, Xu, and Hai complete the 1641st to the 1644th generations. These twelve generations total 360 years, spanning from the 48,960th to the 49,320th year of the 129,600-year great cycle. There are still thirteen cycles remaining until the Chen assembly concludes.

星辛一百三十八：辰子一千六百四十五，辰丑一千六百四十六，辰寅一千六百四十七，辰卯一千六百四十八，辰辰一千六百四十九，辰巳一千六百五十，辰午一千六百五十一，辰未一千六百五十二，辰申一千六百五十三，辰酉一千六百五十四，辰戌一千六百五十五，辰亥一千六百五十六。

The 138th cycle, with the heavenly stem Xin, corresponds to the eighteenth cycle of the Chen (Earthly Branch). The following twelve generations span from the 1645th to the 1656th generations, beginning with Zi and ending with Hai, each of the twelve earthly branches corresponding to one. Counting by generations, the total of all cycles is 4,320 generations, and by the end of this cycle, 1,656 generations have passed, leaving 2,664 generations remaining. Counting by years, this cycle spans 360 years, corresponding to the 49,321st to the 49,680th year of the first cycle. This kind of table only lists the order numbers; the historical events associated with the years will be recorded in the subsequent cycles of the Wu (Fire) cycle.

星壬一百三十九：辰子一千六百五十七，辰丑一千六百五十八，辰寅一千六百五十九，辰卯一千六百六十，辰辰一千六百六十一，辰巳一千六百六十二，辰午一千六百六十三，辰未一千六百六十四，辰申一千六百六十五，辰酉一千六百六十六，辰戌一千六百六十七，辰亥一千六百六十八。

The 139th cycle, with the heavenly stem paired with Ren, is the nineteenth cycle of the辰 (Chen) convergence. The twelve generations are as follows: the Zi generation is 1,657, the Chou generation is 1,658, the Yin generation is 1,659, the Mao generation is 1,660, and the following generations, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai, each increase by one number, with the final Hai generation being 1,668. The heavenly stems reach Ren, leaving only one stem before completing a full cycle, so this cycle connects with the next "star stem Gui," completing the second round of ten heavenly stems within the辰 (Chen) convergence. This cycle lasts 360 years, from the 49,681st year to the 50,400th year of a great cycle.

星癸一百四十：辰子一千六百六十九，辰丑一千六百七十，辰寅一千六百七十一，辰卯一千六百七十二，辰辰一千六百七十三，辰巳一千六百七十四，辰午一千六百七十五，辰未一千六百七十六，辰申一千六百七十七，辰酉一千六百七十八，辰戌一千六百七十九，辰亥一千六百八十。

The 140th cycle, with the heavenly stem癸 (Gui), corresponds to the second tenth cycle of the辰 (Chen) trine. Gui is the last of the ten heavenly stems; once this cycle ends, the second round of heavenly stems within the辰 trine will be exhausted, and the next cycle will begin again with甲 (Jia). The twelve generations under this cycle span from the 1,669th generation (Zi) to the 1,680th generation (Hai). The generation of Chou reaches exactly 1,670, and the generation of Hai reaches exactly 1,680, both being whole numbers. This cycle lasts 360 years, corresponding to the 50,041st to 50,400th year of the great cycle. At this time, the entire great cycle of 129,600 years has already passed more than one third.

星甲一百四十一：辰子一千六百八十一，辰丑一千六百八十二，辰寅一千六百八十三，辰卯一千六百八十四，辰辰一千六百八十五，辰巳一千六百八十六，辰午一千六百八十七，辰未一千六百八十八，辰申一千六百八十九，辰酉一千六百九十，辰戌一千六百九十一，辰亥一千六百九十二。

The 141st cycle begins with the heavenly stem Jia, marking the second十一 cycle, and the start of the third round of heavenly stems within this cycle. The twelve eras under this cycle span from the 1681st era to the 1692nd era: the Zi era is the 1681st, the Chou era is the 1682nd, the Yin era is the 1683rd, and the subsequent Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai eras follow in order, ending with the Hai era as the 1692nd. Each era lasts thirty years, making the total duration of this cycle three hundred and sixty years, corresponding to the 50,401st to the 50,760th year of the great cycle.

星乙一百四十二：辰子一千六百九十三，辰丑一千六百九十四，辰寅一千六百九十五，辰卯一千六百九十六，辰辰一千六百九十七，辰巳一千六百九十八，辰午一千六百九十九，辰未一千七百，辰申一千七百一，辰酉一千七百二，辰戌一千七百三，辰亥一千七百四。

The 142nd cycle, paired with the heavenly stem Yi, is the second twenty-second cycle of the辰 (Chen) group. The following twelve generations begin from the 1693rd generation. The first seven generations, corresponding to the earthly branches Zi, Chou, Yin, Mao, Chen, Si, and Wu, still belong to the number 1600. By the generation of Wei, the total reaches 1700, and the four generations of Shen, You, Xu, and Hai continue as the 1701st to the 1704th generations. Shao Yong counted generations without distinguishing dynasties or cycles, simply counting continuously from the beginning of the great cycle. Therefore, the occurrence of a full thousand in any branch is merely a result of counting and has no special meaning. This cycle lasts 360 years, corresponding to the 50,761st to the 51,120th year of the great cycle.

星丙一百四十三：辰子一千七百五，辰丑一千七百六，辰寅一千七百七，辰卯一千七百八，辰辰一千七百九，辰巳一千七百十，辰午一千七百十一，辰未一千七百十二，辰申一千七百十三，辰酉一千七百十四，辰戌一千七百十五，辰亥一千七百十六。

The 143rd cycle, with the heavenly stem paired with Bing, is the second十三th cycle of the Chen combination. The twelve generations span from the 1705th to the 1716th, starting with Zi and ending with Hai, completing one full cycle of the earthly branches. The Chen combination, which governs thirty cycles, has already passed twenty-three cycles, leaving seven remaining; in terms of years, the Chen combination spans 10,800 years, of which 8,280 years have already been completed. One generation corresponds to thirty years, which is exactly half of a full Jiazi cycle. Two generations combined form a complete Jiazi cycle, so this cycle's twelve generations correspond to six full Jiazi cycles. The duration of this cycle itself is 360 years, corresponding to the fifth ten-thousand one hundred and twenty-first year to the fifth ten-thousand one hundred and forty-eighth year of the great cycle.

星丁一百四十四：辰子一千七百十七，辰丑一千七百十八，辰寅一千七百十九，辰卯一千七百二十，辰辰一千七百二十一，辰巳一千七百二十二，辰午一千七百二十三，辰未一千七百二十四，辰申一千七百二十五，辰酉一千七百二十六，辰戌一千七百二十七，辰亥一千七百二十八。

The 144th cycle, paired with the heavenly stem Ding, is the second十四th cycle of the辰 (Chen) convergence. It encompasses twelve generations starting from the 1717th generation (Zi) to the 1728th generation (Hai), with the卯 (Mao) generation exactly at the 1720th. One cycle consists of twelve generations, one generation spans thirty years, forming the basic rhythm of Shao Yong's calculations: generation is the smallest unit of time, a cycle is twelve times a generation, a convergence is thirty times a cycle, and a yuan is twelve times a convergence. Multiplying these layers together results in a total of twelve thousand nine hundred sixty years. This cycle spans from the 51,481st year to the 51,840th year within this period.

星戊一百四十五：辰子一千七百二十九，辰丑一千七百三十，辰寅一千七百三十一，辰卯一千七百三十二，辰辰一千七百三十三，辰巳一千七百三十四，辰午一千七百三十五，辰未一千七百三十六，辰申一千七百三十七，辰酉一千七百三十八，辰戌一千七百三十九，辰亥一千七百四十。

The 145th cycle, paired with the heavenly stem Wu, corresponds to the second fifth cycle. This cycle spans twelve generations, from the 1,729th to the 1,740th generation: the Zi generation is the 1,729th, the Chou generation is the 1,730th, and the remaining ten generations from Yin to Hai follow in order, each increasing by one. The Hai generation is the 1,740th. In the table, the earthly branches do not repeat and the numbering is continuous, so any generation number can be used to determine which cycle it belongs to. Subtract one from the generation number, divide by twelve, and add one to get the cycle. This cycle lasts 360 years, from the 51,841st to the 52,200th year of the great cycle.

星己一百四十六：辰子一千七百四十一，辰丑一千七百四十二，辰寅一千七百四十三，辰卯一千七百四十四，辰辰一千七百四十五，辰巳一千七百四十六，辰午一千七百四十七，辰未一千七百四十八，辰申一千七百四十九，辰酉一千七百五十，辰戌一千七百五十一，辰亥一千七百五十二。

The 146th cycle, paired with the heavenly stem Ji, is the second sixth cycle of the Chen meeting. It encompasses twelve generations, from the 1741st to the 1752nd, each earthly branch ruling one generation: Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, Hai. The You generation exactly reaches the 1750th. Calculating this: subtract one from the cycle number 146 to get 145, multiply by twelve to get 1740, then add one to reach the first generation of this cycle, the 1741st, which matches exactly with the table. By this point, the Chen meeting's thirty cycles have only four left, and the full meeting will reach 10,800 years. This cycle lasts 360 years, spanning from the 52,201st to the 52,560th year of the 129,600-year great cycle.

星庚一百四十七：辰子一千七百五十三，辰丑一千七百五十四，辰寅一千七百五十五，辰卯一千七百五十六，辰辰一千七百五十七，辰巳一千七百五十八，辰午一千七百五十九，辰未一千七百六十，辰申一千七百六十一，辰酉一千七百六十二，辰戌一千七百六十三，辰亥一千七百六十四。

The 147th cycle, with the heavenly stem paired with Geng, is the second十七th cycle of the辰 (Chen) convergence. The twelve generations span from the 1753rd to the 1764th, with the last generation exactly reaching 1760. The earthly branches take Zi as the first and Hai as the last because Shao Yong used the twelve branches to symbolize the twelve convergences and also to record the twelve generations, employing the same set of symbols both above and below, to signify the cyclical nature, not as the names of the hours. This cycle lasts 360 years, equivalent to six cycles of the sixty Jiazi, spanning from the 52,561st to the 52,920th year of a great cycle.

星辛一百四十八：辰子一千七百六十五，辰丑一千七百六十六，辰寅一千七百六十七，辰卯一千七百六十八，辰辰一千七百六十九，辰巳一千七百七十，辰午一千七百七十一，辰未一千七百七十二，辰申一千七百七十三，辰酉一千七百七十四，辰戌一千七百七十五，辰亥一千七百七十六。

The 148th cycle, paired with the heavenly stem Xin, is the second eighth cycle of the Chen cycle. It covers twelve generations starting from the first thousand seven hundred and sixty-fifth generation to the first thousand seven hundred and seventy-sixth generation. The generations from Zi to Hai are arranged in order, and the generation Si reaches exactly the first thousand seven hundred and seventy. The Chen cycle has now completed twenty-eight cycles and ten thousand and eighty years, leaving only two cycles totaling seven hundred and twenty years before entering the next cycle. In terms of generations, one cycle consists of four thousand three hundred and twenty generations, and one thousand seven hundred and seventy-six generations have already passed, leaving two thousand five hundred and forty-four generations remaining, which is more than the number already passed. This cycle lasts three hundred and sixty years, corresponding to the years fifty-two thousand nine hundred and twenty-one to fifty-three thousand two hundred and eighty of the great cycle.

星壬一百四十九：辰子一千七百七十七，辰丑一千七百七十八，辰寅一千七百七十九，辰卯一千七百八十，辰辰一千七百八十一，辰巳一千七百八十二，辰午一千七百八十三，辰未一千七百八十四，辰申一千七百八十五，辰酉一千七百八十六，辰戌一千七百八十七，辰亥一千七百八十八。

The 149th cycle, with the heavenly stem paired with Ren, is the second ninth cycle of the辰 (Chen) convergence. The twelve generations span from the 1777th to the 1788th, starting with Zi and ending with Hai, with a continuous numbering. The卯 (Mao) generation reaches exactly the 1780th. Once this cycle is completed, the辰 (Chen) convergence has only one cycle left. In terms of the yuan, after 4320 years of one yuan, 1788 years have passed. Shao Yong in his works "Yi Yuan Jing Hui" only discusses up to the generations, while the yearly numbers under each generation are found in "Yi Yun Jing Shi," which continues from the former but with different levels of detail. This cycle lasts 360 years, corresponding to the 53,281st to the 53,640th year of one yuan.

星癸一百五十：辰子一千七百八十九，辰丑一千七百九十，辰寅一千七百九十一，辰卯一千七百九十二，辰辰一千七百九十三，辰巳一千七百九十四，辰午一千七百九十五，辰未一千七百九十六，辰申一千七百九十七，辰酉一千七百九十八，辰戌一千七百九十九，辰亥一千八百。

The 150th cycle, with the heavenly stem癸 (Gui), is the last cycle of the fifth convergence (Chen convergence) which consists of thirty cycles. The twelve generations under this cycle span from the 1789th generation to the 1800th generation: Zi generation is the 1789th, Chou generation the 1790th, followed by Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu in order, and Hai generation exactly reaches the 1800th. This number precisely matches the total of 360 generations in one convergence—five convergences total 1800 generations, or 54,000 years. This cycle lasts 360 years, corresponding to the 53,641st to 54,000th year of one great cycle. At this point, the Chen convergence comes to an end, and the next convergence, Si convergence, begins.

日甲一，月巳六。

"The 'day' marks the great cycle, and the 'month' marks the great division. 'Day Jia one' refers to the first cycle, with the heavenly stem paired with Jia; 'month Si six' refers to the sixth division within the twelve divisions of a great cycle, with the earthly branch belonging to Si. This Si division encompasses thirty cycles, from the 151st to the 180th, and thirty-six hundred generations, from the 1801st to the 2160th, totaling one hundred and eight thousand years. Within the twelve thousand nine hundred and sixty-year great cycle, this period spans from the fifth thousand four hundred and first year to the sixth thousand four hundred and eightieth year. 'Using the cycle as the main thread and the division as the cross thread' means organizing the cycles and generations sequentially according to each division."

星甲一百五十一：辰子一千八百一，辰丑一千八百二，辰寅一千八百三，辰卯一千八百四，辰辰一千八百五，辰巳一千八百六，辰午一千八百七，辰未一千八百八，辰申一千八百九，辰酉一千八百十，辰戌一千八百十一，辰亥一千八百十二。

The 151st cycle, paired with the heavenly stem Jia, is the first cycle of the thirty-cycle assembly. It encompasses twelve generations, starting from the 1801st generation (Zi) to the 1812th generation (Hai), with each earthly branch governing one generation. The last cycle ended at the 1800th generation, and this cycle begins with the 1801st generation, showing that the numbering of generations continues throughout the entire cycle without restarting with each assembly. Each generation lasts thirty years, making this cycle 360 years long, spanning from the 54,001st year to the 54,360th year of the great cycle.

星乙一百五十二：辰子一千八百十三，辰丑一千八百十四，辰寅一千八百十五，辰卯一千八百十六，辰辰一千八百十七，辰巳一千八百十八，辰午一千八百十九，辰未一千八百二十，辰申一千八百二十一，辰酉一千八百二十二，辰戌一千八百二十三，辰亥一千八百二十四。

The 152nd cycle, with the heavenly stem paired with Yi, is the second cycle of the Si (Snake) convergence. The following twelve generations range from the 1813th to the 1824th: the Zi generation is the 1813th, and the Chou, Yin, Mao, Chen, Si, and Wu generations follow in order. The Wei generation exactly reaches the 1820th, and the Shen, You, Xu, and Hai generations continue as the 1821st to the 1824th generations. The Si convergence consists of thirty cycles, and up to this point, two cycles and seven hundred twenty years have passed, still far from completing one convergence. This cycle lasts three hundred sixty years, corresponding to the 54,361st to the 54,720th year of the Great Cycle.

星丙一百五十三：辰子一千八百二十五，辰丑一千八百二十六，辰寅一千八百二十七，辰卯一千八百二十八，辰辰一千八百二十九，辰巳一千八百三十，辰午一千八百三十一，辰未一千八百三十二，辰申一千八百三十三，辰酉一千八百三十四，辰戌一千八百三十五，辰亥一千八百三十六。

The 153rd cycle, with the heavenly stem paired as Bing, is the third cycle in the巳 group. It encompasses twelve generations starting from the 1,825th generation and ending at the 1,836th generation. Each of the twelve branches, from Zi to Hai, is assigned to one generation. The heavenly stem of the cycle name and the earthly branch of the generation name each form their own cycle: the heavenly stem has ten positions, so every ten cycles repeat; the earthly branch has twelve positions, so within each cycle, it forms its own complete cycle. Unlike the sixty Jiazi cycles which alternate, this system is layered, with each level managed separately. Therefore, within one cycle, the twelve generations' earthly branches must necessarily start with Zi and end with Hai, without exception. This cycle lasts 360 years, corresponding to the 54,721st to 55,080th year of a great cycle.

星丁一百五十四：辰子一千八百三十七，辰丑一千八百三十八，辰寅一千八百三十九，辰卯一千八百四十，辰辰一千八百四十一，辰巳一千八百四十二，辰午一千八百四十三，辰未一千八百四十四，辰申一千八百四十五，辰酉一千八百四十六，辰戌一千八百四十七，辰亥一千八百四十八。

The 154th cycle, paired with the heavenly stem Ding, is the fourth cycle of the巳 (Si) group. The twelve generations span from the 1837th to the 1848th, with the卯 (Mao) generation exactly reaching the 1840th. Calculating by the cycle, the巳 (Si) group has lasted 10,800 years, and up to now 1,440 years have passed; calculating by the great cycle, this cycle should last from 55,080 to 55,440 years. The table only marks the order without listing historical events, because this period is far before recorded history, and Shao Yong had no basis for it, so he preserved the numbers without recording the events; from this point onward, more than twenty cycles are only numbered without events, until the beginning of the午 (Wu) group, which connects with the Xia Yu era.

星戊一百五十五：辰子一千八百四十九，辰丑一千八百五十，辰寅一千八百五十一，辰卯一千八百五十二，辰辰一千八百五十三，辰巳一千八百五十四，辰午一千八百五十五，辰未一千八百五十六，辰申一千八百五十七，辰酉一千八百五十八，辰戌一千八百五十九，辰亥一千八百六十。

The 155th cycle corresponds to the heavenly stem Wu, forming the fifth cycle of the巳 (Si) group. It encompasses twelve generations, from the 1849th generation (Zi) to the 1860th generation (Hai). The 1850th generation exactly matches the丑 (Chou) era, and the 1860th generation exactly matches the亥 (Hai) era. The pattern of one cycle encompassing twelve generations is consistent in each section; what changes are the numbering and the assigned heavenly stem. This is precisely the method of Shao Yong's numerical calculations, "using numbers to govern events": first establishing the framework of time, then filling it with historical events. This cycle spans 360 years, corresponding to the 55,441st to 55,800th year of a great cycle.

星己一百五十六：辰子一千八百六十一，辰丑一千八百六十二，辰寅一千八百六十三，辰卯一千八百六十四，辰辰一千八百六十五，辰巳一千八百六十六，辰午一千八百六十七，辰未一千八百六十八，辰申一千八百六十九，辰酉一千八百七十，辰戌一千八百七十一，辰亥一千八百七十二。

The 156th cycle, with the heavenly stem JI, corresponds to the sixth cycle of the Si (Snake) convergence. The twelve generations span from the 1861st to the 1872nd, starting with Zi (Rat) and ending with Hai (Pig), with the You (Rooster) generation completing the 1870th. Among these twelve generations, the first six—Zi, Chou, Yin, Mao, Chen, and Si—belong to the first half, while the latter six—Wu, Wei, Shen, You, Xu, and Hai—belong to the second half, each lasting 180 years. By this point, the Si convergence has completed six of its thirty cycles, which is one fifth of the entire convergence, leaving twenty-four more cycles and 8,640 years remaining. This cycle itself lasts 360 years, spanning from the 55,801st to the 56,160th year of the great cycle.

星庚一百五十七：辰子一千八百七十三，辰丑一千八百七十四，辰寅一千八百七十五，辰卯一千八百七十六，辰辰一千八百七十七，辰巳一千八百七十八，辰午一千八百七十九，辰未一千八百八十，辰申一千八百八十一，辰酉一千八百八十二，辰戌一千八百八十三，辰亥一千八百八十四。

The 157th cycle, with the heavenly stem Geng, corresponds to the seventh cycle of the Si (Snake) group. The twelve generations under this cycle span from the 1873rd to the 1884th: the first seven generations, Zi (Rat), Chou (Ox), Yin (Tiger), Mao (Rabbit), Chen (Dragon), Si (Snake), and Wu (Horse), extend from the 1873rd to the 1879th. The Wei (Goat) generation completes the 1880th, and Shen (Monkey), You (Rooster), Xu (Dog), and Hai (Pig) continue up to the 1884th. The name of the heavenly stem for this cycle and its position within the group can be cross-referenced: Jia, Yi, Bing, Ding, Wu, Ji, Geng. Geng is the seventh among the ten heavenly stems, confirming that this cycle is indeed the seventh of the Si group. The duration of this cycle is 360 years, corresponding to the 56,161st to the 56,520th year of a great cycle.

星辛一百五十八：辰子一千八百八十五，辰丑一千八百八十六，辰寅一千八百八十七，辰卯一千八百八十八，辰辰一千八百八十九，辰巳一千八百九十，辰午一千八百九十一，辰未一千八百九十二，辰申一千八百九十三，辰酉一千八百九十四，辰戌一千八百九十五，辰亥一千八百九十六。

The 158th cycle, with the heavenly stem paired with Xin, corresponds to the eighth cycle of the巳 (Si) group. The twelve generations start from the 1,885th generation to the 1,896th generation, with the earthly branches proceeding from Zi to Hai, completing a full cycle. The Si cycle has reached exactly the 1,890th generation. In the table, each row represents the twelve generations under one cycle, while vertically, thirty cycles make up one period, and twelve periods make up one great cycle. This section is one row of the large table. The Si period, which spans 10,800 years, has already passed 2,880 years, leaving 7,920 years remaining. This cycle lasts 360 years, corresponding to the 56,521st to the 56,880th year of the great cycle.

星壬一百五十九：辰子一千八百九十七，辰丑一千八百九十八，辰寅一千八百九十九，辰卯一千九百，辰辰一千九百一，辰巳一千九百二，辰午一千九百三，辰未一千九百四，辰申一千九百五，辰酉一千九百六，辰戌一千九百七，辰亥一千九百八。

The 159th cycle, with the heavenly stem paired with Ren, corresponds to the ninth cycle of the巳 group. It encompasses twelve generations, from the 1897th to the 1908th, among which the generation of Mao exactly reaches the 1900th. The following eight generations of Chen, Si, Wu, Wei, Shen, You, Xu, and Hai span from the 1901st to the 1908th. The heavenly stem reaches Ren, and in this cycle's first round of ten stems, only one stem remains to complete the cycle. This cycle lasts 360 years, corresponding to the 56,881st to the 57,240th year of the great cycle.

星癸一百六十：辰子一千九百九，辰丑一千九百十，辰寅一千九百十一，辰卯一千九百十二，辰辰一千九百十三，辰巳一千九百十四，辰午一千九百十五，辰未一千九百十六，辰申一千九百十七，辰酉一千九百十八，辰戌一千九百十九，辰亥一千九百二十。

The 160th cycle, with the heavenly stem paired with Gui, is the tenth cycle of the Si (Snake) convergence, and this is the first round of the convergence, during which the heavenly stems are exhausted. The twelve eras span from the 1909th to the 1920th era: the Zi era is the 1909th, the Chou era is completed in the 1910th, and the Hai era is completed in the 1920th. Ten cycles total 3,600 years, which is exactly one third of the 10,800 years of the Si convergence. This cycle lasts 360 years, equivalent to six cycles of the Jiazi (Heavenly Stems and Earthly Branches), and is no different from other cycles. Within the great cycle, it spans from the 57,241st to the 57,600th year.

星甲一百六十一：辰子一千九百二十一，辰丑一千九百二十二，辰寅一千九百二十三，辰卯一千九百二十四，辰辰一千九百二十五，辰巳一千九百二十六，辰午一千九百二十七，辰未一千九百二十八，辰申一千九百二十九，辰酉一千九百三十，辰戌一千九百三十一，辰亥一千九百三十二。

The 161st cycle begins with the heavenly stem Jia, marking the 11th cycle of the fourth phase, and is the first heavenly stem of the second round within this phase. It encompasses twelve generations, from the 1921st to the 1932nd: the first three generations, Zi, Chou, and Yin, correspond to the 1921st to the 1923rd, followed by Mao through Hai, each subsequent generation increasing sequentially. The generation of You reaches exactly the 1930th. Within the cycle, the position corresponds with the heavenly stem name: the 11th cycle's stem is again Jia, as is the 21st, and each cycle of thirty cycles contains three rounds of ten heavenly stems. Each generation spans thirty years, making this cycle 360 years long. Within the great cycle, this period corresponds to the 57,601st to the 57,960th year.

星乙一百六十二：辰子一千九百三十三，辰丑一千九百三十四，辰寅一千九百三十五，辰卯一千九百三十六，辰辰一千九百三十七，辰巳一千九百三十八，辰午一千九百三十九，辰未一千九百四十，辰申一千九百四十一，辰酉一千九百四十二，辰戌一千九百四十三，辰亥一千九百四十四。

The 162nd cycle corresponds to the Heavenly Stem Yi, and is the twelfth cycle within the巳 (Si) group. The twelve generations span from the 1933rd to the 1944th, starting with Zi and ending with Hai, with the Wei generation completing the 1940th. Each thirty cycles form a single group, and each cycle corresponds to twelve generations. This cycle, being the twelfth in the group, coincidentally matches the number of generations in one cycle, but they belong to different levels and should not be confused. The巳 group has already lasted 4,320 years, with the entire group still remaining 6,480 years. This cycle lasts 360 years, corresponding to the 57,961st to 58,320th year of a great cycle.

星丙一百六十三：辰子一千九百四十五，辰丑一千九百四十六，辰寅一千九百四十七，辰卯一千九百四十八，辰辰一千九百四十九，辰巳一千九百五十，辰午一千九百五十一，辰未一千九百五十二，辰申一千九百五十三，辰酉一千九百五十四，辰戌一千九百五十五，辰亥一千九百五十六。

The 163rd cycle, with the heavenly stem paired with Bing, corresponds to the 13th cycle of the巳 (Si) branch. It encompasses twelve generations, from the 1945th to the 1956th, with each earthly branch from Zi to Hai governing one generation. The Si generation exactly reaches the 1950th. Counting the generations, one cycle consists of 4,320 generations. By the end of this cycle, 1,956 generations have been completed, leaving 2,364 generations remaining. Within the 360 years of this cycle, there are six full cycles of the sixty Jiazi. Every two generations form one cycle, spanning from the 58,321st to the 58,680th year of the great cycle.

星丁一百六十四：辰子一千九百五十七，辰丑一千九百五十八，辰寅一千九百五十九，辰卯一千九百六十，辰辰一千九百六十一，辰巳一千九百六十二，辰午一千九百六十三，辰未一千九百六十四，辰申一千九百六十五，辰酉一千九百六十六，辰戌一千九百六十七，辰亥一千九百六十八。

The 164th cycle is paired with the heavenly stem Ding, forming the 14th cycle of the巳 group. The twelve generations start from the first thousand nine hundred and fifty-seventh generation (Zi) and end at the first thousand nine hundred and sixty-eighth generation (Hai), with the Mao generation exactly reaching the first thousand nine hundred and sixtieth. Calculating this: subtract one from the cycle number 164 to get 163, multiply by twelve to get 1956, and add one to reach the first generation of this cycle, which is the first thousand nine hundred and fifty-seventh. This shows that the numbering in the table is consistent. This period still belongs to the remote and undocumented ancient times, where the table does not record imperial era names, but only marks positions by numerical order. This cycle lasts three hundred and sixty years, corresponding to the fifth ten thousand eight hundred and eighty-first year to the fifth ten thousand nine hundred and fourth year of the great cycle.

星戊一百六十五：辰子一千九百六十九，辰丑一千九百七十，辰寅一千九百七十一，辰卯一千九百七十二，辰辰一千九百七十三，辰巳一千九百七十四，辰午一千九百七十五，辰未一千九百七十六，辰申一千九百七十七，辰酉一千九百七十八，辰戌一千九百七十九，辰亥一千九百八十。

The 165th cycle, with the heavenly stem Wu, corresponds to the fifteenth cycle of the Si (Snake) convergence, which is exactly half of the thirty cycles of this convergence. The twelve generations under this cycle span from the 1969th to the 1980th generations: the Zi generation is the 1969th, the Chou generation completes the 1970th, and the Hai generation completes the 1980th. By the end of this cycle, the Si convergence has already lasted 5,400 years, which is exactly the midpoint of the 11,080-year convergence; from this point onward, the next fifteen cycles will complete the Si convergence and transfer it to the Wu convergence. This cycle lasts 360 years, corresponding to the 59,041st to the 59,400th year of the Great Cycle.

星己一百六十六：辰子一千九百八十一，辰丑一千九百八十二，辰寅一千九百八十三，辰卯一千九百八十四，辰辰一千九百八十五，辰巳一千九百八十六，辰午一千九百八十七，辰未一千九百八十八，辰申一千九百八十九，辰酉一千九百九十，辰戌一千九百九十一，辰亥一千九百九十二。

The 166th cycle, with the heavenly stem JI, corresponds to the sixteenth cycle of the fourth phase. The twelve cycles span from the 1981st to the 1992nd generations, with Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai assigned in order. The You cycle reaches the 1990th generation. The Si cycle has already passed 5,760 years out of 10,080, leaving 5,040 years remaining. Since the Si cycle is the sixth of the first great cycle, the end of the cycle occurs at the midpoint of the great cycle, so this number also represents the time from the beginning of this cycle to the midpoint of the great cycle. This cycle lasts 360 years, corresponding to the period from the 59,401st to the 59,760th year of the great cycle.

星庚一百六十七：辰子一千九百九十三，辰丑一千九百九十四，辰寅一千九百九十五，辰卯一千九百九十六，辰辰一千九百九十七，辰巳一千九百九十八，辰午一千九百九十九，辰未二千，辰申二千一，辰酉二千二，辰戌二千三，辰亥二千四。

The 167th cycle, with the heavenly stem Geng, corresponds to the seventeenth cycle of the巳 group. The twelve generations under this cycle span from the 1993rd to the 2004th: the six generations of Zi, Chou, Yin, Mao, Chen, and Si run from the 1993rd to the 1998th, the Wu generation is the 1999th, the Wei generation exactly reaches the 2000th, and the four generations of Shen, You, Xu, and Hai continue from the 2001st to the 2004th. When the number of generations reaches two thousand, it is merely a sequential number increment, with no change in the structure. This cycle lasts 360 years, corresponding to the 59,761st to the 60,120th year of the great cycle.

星辛一百六十八：辰子二千五，辰丑二千六，辰寅二千七，辰卯二千八，辰辰二千九，辰巳二千十，辰午二千十一，辰未二千十二，辰申二千十三，辰酉二千十四，辰戌二千十五，辰亥二千十六。

The 168th cycle, with the heavenly stem paired with Xin, corresponds to the eighteenth cycle of the Si (Snake). The twelve generations span from the 2005th to the 2016th, beginning with Zi and ending with Hai, with continuous numbering. One great cycle consists of 4,320 generations, and by this point, 2,016 generations have passed, still less than half. This shows the vast scale of the time measurement proposed by Shao Yong. This cycle lasts 360 years, corresponding to the 61,201st to the 61,440th year of the great cycle.

星壬一百六十九：辰子二千十七，辰丑二千十八，辰寅二千十九，辰卯二千二十，辰辰二千二十一，辰巳二千二十二，辰午二千二十三，辰未二千二十四，辰申二千二十五，辰酉二千二十六，辰戌二千二十七，辰亥二千二十八。

The 169th cycle, with the heavenly stem壬 (Ren), corresponds to the nineteenth cycle of巳 (Si). It encompasses twelve generations from the 2017th generation (Zi) to the 2028th generation (Hai), with the generation of Mao (卯) reaching its full count in the 2020th generation. When the heavenly stem reaches Ren, it connects with the next cycle's stem Gui (癸), completing the second round of ten heavenly stems. By this point, the cycle of巳 has spanned 6,840 years. This cycle lasts 360 years, corresponding to the sixth ten-thousand and forty-eighth to sixth ten-thousand and eighty-eighth years of a great cycle.