I gave a talk in Japanese yesterday. I'd like to highlight an interesting point. There were multiple "nakṣatras" in Japan. The horoscope of 1113 displays the twenty-eight Chinese lunar stations, which generally are equated to Indian nakṣatras, but they are different. 1/5
The Chinese lunar stations (right), which were also used in Japan, are of uneven dimensions and were originally divisions of the celestial equator, although a system of ecliptic-based stations emerged around 721-727. They divide 365.25 degrees, rather than 360 degrees. 2/5
The Indian model of navāṃśas (ninths) was known in East Asia from the mid-8th century. This system divides the ecliptic into 108 pādas, in which each nakṣatra is given 4, and each zodiac 9. The nakṣatra Abhijit (牛宿) is dropped, giving 27 nakṣatras of uniform dimensions. 3/5
Amoghavajra 不空 in the mid-eighth century devised a unique system in which each day of the lunar year is assigned to one of the nakṣatras. The 1st and 15th days in the lunar month are always the New and Full Moons, so nominally this aligns with one model of Indian months. 4/5
This one-to-one correspondence does not reflect the actual position of the Moon relative to fixed stars or nakṣatras. Shingon and Tendai generally used this model for electing ritual times, but astrologer-monks positioned the planets using the Chinese lunar stations. 5/5
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In 719, the Yabghu of Tukhāra sent the Chinese court a senior Manichean priest (a mōzak) who was "knowledgeable about astronomy." 獻解天文人大慕闍. Around the same time, the Gautamas at court were translating Indian astronomy into Chinese, such as the *Navagraha-karaṇa 九執曆.
Navagraha-karaṇa gives a tabulated latitude value of 35° (Chang’an is at 34°16). Latitude is 隨方眼法 (“method according to the location of the observer”), which is a semantic translation of the Sanskrit sva-deśa-akṣa. This is first instance of the concept of latitude in China.
A few years later, the monk Yixing 一行 (673–727) was asked to produce a new state calendar. This became the Dayan li 大衍曆. It wasn't implemented by the state during his lifetime. Yixing died unexpectedly in 727. His calendar was adopted between 729–761.