But the Chinese year has always been luni-solar. From the earliest
times they had observed the twelve ecliptical "mansions" and
zodiacal signs, and also that the time occupied by the sun in
travelling through a mansion was rather longer than one lunation,
or the time intervening between two new moons. Their object has
accordingly always been to bring the lunar and solar years into
manageable combination, so that the equinoxes, solstices, and
"seasons" might occur with as much regularity as possible in the
same months, and so that the husbandman might know when to sow his
grain. Formerly they regulated this discrepancy according to the
mean movements of the sun and moon; but, ever since the Jesuits
first instructed them more accurately, they have regulated the two
years, that is, the solar year and the twelve lunations, according
to the true movements, and with reference to the meridian of
Peking. If the moons were each exactly 29 1/2 days in length,
instead of being 44 minutes 2.87 seconds longer, it would have
been a simple matter to halve the ordinary lunar year, and make
six months "large" (30 days) and six "small" (29 days); but the
extra 44 minutes and a fraction accumulate, and the result is that
there must always be a larger number of "great" months than
"small" in the year. The way the Chinese arranged this was to call
a month "great" (30 days) if the interval between mid-night
(beginning of the new-moon day) and the hour of the _next_
new moon was full 30 days or over in duration; if less than 30
days, then the month was a "small" one (29 days). Not more than
two long months ever followed in succession, and two short months
never did so.
Public-domain text, read in full here on John Shaqi.
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