CHAPTER II

JAPANESE CLOCKS

Chinese and Japanese divisions of the day. -- Hours of varying

length. -- Setting clocks to length of daylight. -- Curved line

dials. -- Numbering hours backwards and strange reasons for

same. -- Daily names for sixty day period. -- Japanese clock

movements practically Dutch. -- Japanese astronomical clock. --

Decimal numbers very old Chinese. -- Original vertical dials

founded on "bamboo stick" of Chinese clepsydra. -- Mathematics

and superstition. -- Mysterious disappearance of hours 1, 2, 3.

-- Eastern mental attitude towards time. -- Japanese methods of

striking hours and half hours.

The ancient methods of dividing day and night in China and Japan

become more hazy as we go backwards and the complications grow. The

three circles in Fig. 1 (Chapter I) are all taken from Japanese

clocks, but the interpretation has been obtained from Chinese and

Japanese scholars. The Japanese obtained a great deal from the

Chinese, in fact nearly everything relating to the ancient methods of

time keeping and the compiling of calendars. I have not been able to

find any Chinese clocks constructed of wheels and pinions, but have a

number of Japanese. These have a distinct resemblance to the earlier

Dutch movements, and while made in Japan, they are practically Dutch,

so far as the "works" are concerned, but it is easy to see from the

illustrations that they are very Japanese in style and ornamentation.

The Dutch were the leaders in opening Japan to the European nations

and introduced modern mathematics and clocks from about 1590 A. D.

The ancient mathematics of Japan came largely from China through

Corea. In Fig. 11 are given the Japanese figures beside ours, for the

reader's use as a key. The complete day in Japan was divided into

twice six hours; that is, six for daylight and six for night, and

the clocks are set, as the days vary in length, so that six o'clock

is sunrise and sunset. The hour numerals on Fig. 12 are on little

plates which are movable, and are shown set for a long day and a

short night.

[Illustration: Fig. 11]

[Illustration: Fig. 12 Fig. 13.

Japanese Dials Set for Long and Short Days]

In Fig. 13 they are set for short days and long nights. The narrow

plates shown in solid black are the half-hour marks. In this type

the hand is stationary and always points straight upward. The dial

rotates, as per arrow, once in a full day. This style of dial is

shown on complete clocks, Fig. 14 being a weight clock and Fig. 15 a

spring clock with chain and fusee. The hours are 9 to 4 and the dials

rotate to make them read backwards. The six hours of daylight are 6,

5, 4, 9, 8, 7, 6 and the same for night, so these hours average twice

as long as ours. Note that nine is mid-day and mid-night, and as

these do not change by long and short days they are stationary on the

dial, as you can easily see by comparing Figs. 12 and 13, which are

the same dial set for different seasons. Between these extremes the

dial hours are set as often as the owner wishes; so if he happens to

correspond with our "time crank" he will set them often and dispute

with his neighbors about the time. Figure 16 shows a clock with the

hour numerals on a vertical series of movable plates and it is set

for uniform hours when day and night are equal at the equinox. The

ornamental pointer is fastened to the weight through the vertical

slit, plainly visible in illustration, and indicates the time as it

descends. This clock is wound up at sunset, so the six on the top of

the dial is sunset the same as the six on the bottom. Figure 17 shows

how this type of dial is set for long and short days and explains

itself, but will become plainer as we proceed. This dial is virtually

a continuation of the old method of marking time by the downward

motion of the water in the clepsydras and will be noticed later.

[Illustration: Fig. 14--Japanese Striking Clock with Weight and Short

Pendulum]

[Illustration: Fig. 15--Japanese Striking Clock with Spring, Fusee and

Balance]

Figure 18 represents a clock which is a work of art and shows great

refinement of design in providing for the varying lengths of days.

The bar lying across the dial is fastened to the weight through the

two slits running the whole length of the dial. On this cross bar

is a small pointer, which is movable by the fingers, and may be set

to any one of the thirteen vertical lines. The numerous characters

on the top space of dial indicate the dates on which the pointer is

to be set. This clock is wound up at sunset, and it is easy to see

that as the little pointer is set towards the right, the night hours

at the top of the dial become shorter and the day hours longer on

the lower part. The left edge of the dial gives the hours, reading

downwards, and as the pointer touches any one of the curved lines the

hour is read at the left-hand end. The curved lines formed of dots

are the half-hours. The right-hand edge of the dial has the "twelve

horary characters" which will be explained later. For dividing the

varying days into six hours' sunshine it would be difficult to

think of a more artistic and beautiful invention than this. It is

a fine example of great ingenuity and constant trouble to operate

a system which is fundamentally wrong according to our method of

uniform hours at all seasons. Clocks having these curved lines for

the varying lengths of days--and we shall find them on circular dials

as we go on--must be made for a certain latitude, since the days vary

more and more as you go farther from the equator. This will become

plain when you are reminded that a Japanese clock at the equator

would not need any adjustment of hour numerals, because the days and

nights are equal there all the year. So after such infinite pains in

forming these curved lines the clock is only good in the latitude

for which it was made and must not be carried north or south! Our

clocks are correct from pole to pole, but all clocks must be set to

local time if they are carried east or west. As this is a rather

fascinating phase of the subject it might be worth pointing out that

if you go north till you have the sun up for a month in the middle

of summer--and there are people living as far up as that--the Japanese

system would become absurd and break down; so there is no danger of

any of our polar expeditions carrying Japanese clocks.

[Illustration: Fig. 16--Japanese Clock with Vertical Dial, Weight and

Balance.]

[Illustration: Fig. 17--Japanese Vertical Dials]

[Illustration: Fig. 18--Japanese Clock with Vertical Dial Having

Curved Lines, Weight and Balance.]

Figure 19 shows a very fine clock in which the dial is stationary and

the hand moves just as on our dials. This hour hand corresponds to

the single hand of the old Dutch clocks. When the Japanese reached

the point of considering the application of minute and second hands

to their clocks they found that these refinements would not fit their

old method and they were compelled to lay aside their clocks and

take ours. On this dial, Fig. 19, nine is noon, as usual, and is on

top side of dial. Hand points to three quarters past _seven_, that

is, a quarter to _six_, near sunset. Between the bell and the top of

the clock body two horizontal balances, having small weights hung on

them, are plainly shown, and the clock has two verge escapements--one

connected with each balance, or "foliot." Let us suppose a long

day coming to a close at sunset, just as the hand indicates. The

upper balance, which is the slow one, has been swinging backwards

and forwards measuring the long hours of the day. When the clock

strikes six, at sunset, the top balance is thrown out of action and

the lower one, which is the fast one, is thrown into action and

measures the short night hours. At sunrise this is thrown out and

the top one in again to measure the next day's long hours. As the

days vary in length, the balances, or foliots, can be made to swing

faster or slower by moving the weights inwards or outwards a notch

or two. The balance with small weights for regulation is the oldest

known and was used in connection with the verge escapement, just

as in this clock, by the Dutch about 1364. All the evidence I can

find indicates that the Japanese clocks are later than this date. In

design, ornamentation and methods for marking varying days, however,

the Japanese have shown great artistic taste and inventiveness.

It is seen that this dial in addition to the usual six hours,

twice over, has on the outside circle of dial, the "twelve horary

branches" called by the Japanese the "twelve honorary branches," thus

indicating the whole day of twelve Japanese hours, six of them for

day and six for night. By this means they avoided repeating the same

hours for day and night. When it is pointed out that these "twelve

horary branches" are very old Chinese, we are not in a position to

boast about our twenty-four hour system, because these branches

indicate positively whether any given hour is day or night. When we

print a time table in the twenty-four hour system so as to get rid

of our clumsy A. M. and P. M., we are thousands of years behind the

Chinese. More than that, for they got the matter right without any

such pressure as our close running trains have brought to bear on

us. These branches have one syllable names and the "ten celestial

stems" have also one syllable names, all as shown on Fig. 20. Refer

now to Fig. 21 where two disks are shown, one having the "twelve

horary branches" and the other the "ten celestial stems." These disks

are usually put behind the dial so that one "branch" and one "stem"

can be seen at the same time through two openings. The clock moves

these disks one step each night, so that a new pair shows each day.

Running in this manner, step by step, you will find that it takes

sixty moves, that is sixty days, to bring the same pair around again.

Each has a single syllable name, as shown on Fig. 20, and we thus get

sixty names of two syllables by reading them together to the left.

The two openings may be seen in the dials of Figs. 15 and 19. So the

Japanese know exactly what day it is in a period of sixty which they

used in their old calendars. These were used by the Chinese over four

thousand years ago as the names of a cycle of sixty years, called the

"sexagenary." The present Chinese year 4606 is YU-KI which means the

year 46 of the 76th "sexagenary." That is, 76×60+46 = 4,606. In Fig.

20, we read TSU-KIAH, or the first year. If you will make two disks

like Fig. 21 and commence with TSU-KIAH and move the two together

you will come to YU-KI on the 46th move. But there is another way

which you might like better, thus: Write the twelve "branches,"

or syllables, straight downwards, continuously five times; close

to the right, write the ten "stems" six times. Now you have sixty

words of two syllables and the 46th, counting downwards, will be

YU-KI. Besides, this method gives you the whole sixty names of the

"sexagenary" at one view. Always read _left_, that is, pronounce the

"stem" syllable first.

[Illustration: Fig. 19--Japanese Striking Clock with Two Balances and

Two Escapements; Dial Stationary, Hand Moves]

Calendars constitute a most interesting and bewildering part of time

measuring. We feel that we have settled the matter by determining

the length of the year to within a second of time, and keeping the

dates correctly to the nearest day by a leap year every fourth and

every fourth century, established by Pope Gregory XIII in 1582, and

known as the "Gregorian Calendar." In simple words, our "almanac" is

the "Gregorian." We are in the habit of saying glibly that any year

divisible by four is a leap year, but this is far from correct. Any

year leaving out the _even hundreds_, which is divisible by four

is a leap year. _Even hundreds_ are leap when divisible by four.

This explains why 1900 was a common year, because _19 hundreds_ is

not divisible by four; 2000 will be a leap because _20 hundreds_

is divisible by four; therefore 2100, 2200 and 2300 will be common

years and 2400 a leap, etc., to 4000 which must be made common, to

keep things straight, in spite of the fact that it is divisible by

four both in its hundreds and thousands. But for practical purposes,

during more than two thousand years to come, we may simplify the

rule to: _Years_ and _even hundreds_ divisible by four are leaps.

But great confusion still exists as a result of several countries

holding to their own old methods. The present Chinese year has 384

days, 13 months and 13 full moons. Compared with our 1909 it begins

on January 21st and will end on February 8, 1910. Last year the

China-Japan calendar had 12 months, or moons, but as that is too

short they must put in an extra every thirtieth month. We only allow

the error to reach one day and correct it with our leap years, but

they are not so particular and let the error grow till they require

another "moon." The Old Testament is full of moons, and even with all

our "modernity" our "feasts" and holy days are often "variable" on

account of being mixed up with moons. In Japan the present year is

the 42nd of Meiji, that is, the 42nd of the present Emperor's reign.

The present is the Jewish 5669. These and others of varying lengths

overlap our year in different degrees, so that in trade matters great

confusion exists. The Chinese and Japanese publish a trade almanac

in parallel columns with ours to avoid this. It is easy to say that

we ought to have a uniform calendar all over the world, but the same

remark applies just as much to money, weights, measures, and even to

language itself. Finally, the difficulty consists in the facts that

there are not an even number of days in a year--or in a moon--or moons

in a year. "These many moons" is a survival in our daily speech of

this old method of measuring by moons. Just a little hint as to the

amount of superstition still connected with "new moon" will be enough

to make clear the fact that we are not yet quite so "enlightened" as

we say we are. While our calendar, or almanac, may be considered as

final, we must remember that custom and religion are so mixed up with

the matter in the older countries of the East that they will change

very slowly. Strictly, our "era" is arbitrary and Christian; so we

must not expect nations which had some astronomical knowledge and a

working calendar, thousands of years before us, to change suddenly to

our "upstart" methods.

[Illustration: Fig. 20--Key to "12 Horary Branches" and "10 Celestial

Stems"]

[Illustration: Fig. 21--"12 Horary Branches" and "10 Celestial Stems"

as Used in Clocks]

[Illustration: Fig. 22--Dial of Japanese Astronomical Clock]

In Fig. 22 we have the dial of a very complicated astronomical

clock. This old engraved brass dial did not photograph well, so I

made a copy by hand to get clean lines. Commencing at the centre,

there is a small disk, B, numbered from 1 to 30, giving days of the

moon's age. The moon rises at A and sets at AA, later each day, of

course. Her age is shown by the number she touches on disk B, as

this disk advances on the moon one number each day. Her phases are

shown by the motion of a black disk over her face; so we have here

three motions for the moon, so differentiated as to show _phase_,

_ascension_ and _age_. Still further, as she is represented on the

dial when below the horizon, it can be seen when she will rise, and

"moonlight" parties may be planned. Just outside the moon's course

is an annulus having Japanese numbers 1 to 12, indicating months.

Note the recurring character dividing the months in halves, which

means "middle," and is much used. If you will carefully read these

numbers you will find a character where _one_ would come; this means

"beginning" or "primary" and is often used instead of one. The clock

hand is the heavy arrow and sweeps the dial once in a whole day, same

direction as our clocks. This circle of the months moves along with

the hand, but a little faster, so as to gain one number in a month.

As shown on the figure it is about one week into the sixth month.

Next outward is the broad band having twelve curved lines for the

hours ending outwardly in a ring divided into 100 parts, marked off

in tens by dots. These curved lines are numbered with the Japanese

numerals for hours which you must now be able to read easily. These

hour lines, and the dotted lines for half hours, are really the same

as the similar lines on Fig. 18 which you now understand. As the

hand sweeps the dial daily it automatically moves outward a little

each day, so it shortens the nights and lengthens the days, just as

previously explained for Fig. 18. But there is one difference, for

you will notice that the last night hour, on which the arrow hand

now stands, is longer than the other night hours before it, and that

it is divided into _three_ by the dotted lines. The last day hour,

on the left of dial, is also long and divided into _three_. That is,

while all the dials previously described have equal hours for any

given day, or night, this dial has a _last long hour_ in each case,

divided into three instead of the usual half-hours. This is a curious

and interesting point having its origin long before clocks. In the

early days of the clepsydra in China, a certain time was allowed

to dip up the water from the lowest jar, each morning and evening

about five o'clock of our time, see Fig. 8 (Chapter 1). During this

operation the clepsydra was not marking time, and the oriental

mind evidently considered it in some sense outside of the regular

hours, and like many other things was retained till it appeared

absurdly on the earlier clocks. This wonderful feat of putting an

interval between two consecutive hours has always been impossible to

modern science; yet President Roosevelt performed it easily in his

"constructive" interregnum! Referring to the Canton clepsydra, Fig.

8, we find that the float, or "bamboo stick," was divided into 100

parts. At one season 60 parts for the day and 40 parts for the night,

gradually being changed to the opposite for short days. The day hours

were beaten on a drum and the night hours blown on a trumpet.

Later the hour numerals were made movable on the "bamboo stick."

This is virtually a vertical dial with movable hour plates, so their

idea of time measuring at that date, was of something moving up or

down. This was put on the first clocks by the Japanese; so that the

dial of Fig. 16 is substantially the float of the Chinese clepsydra.

Further, in this "bamboo stick" of 100 parts, we have our present

system of decimal numbers, so we can afford to be a little modest

here too. Before leaving Fig. 22 note the band, or annulus, of stars

which moves with the month circle. I cannot make these stars match

our twelve signs of the Zodiac, but as I have copied them carefully

the reader can try and make order out of them. The extreme outer edge

of the dial is divided into 360 parts, the tens being emphasized, as

in our decimal scales.

As we are getting a little tired of these complicated descriptions,

let us branch off for a few remarks on some curiosities of Eastern

time keeping. They evidently think of an hour as a _period of time_

more specifically than we do. When we say "6 o'clock" we mean a

point of time marked by the striking of the clock. We have no names

for the hour periods. We must say "from 5 to 6" or "between 5 and

6" for an hour period. The "twelfth hour" of the New Testament, I

understand to mean a whole hour ending at sunset; so we are dealing

with an oriental attitude of mind towards time. I think we get that

conception nearly correct when we read of the "middle watch"

and understand it to mean _during_ the middle third of the night.

Secondly, why do the Japanese use no 1, 2, 3 on their dials? These

numbers were sacred in the temples and must not be profaned by use on

clocks, and they mentally deducted these from the clock hours, but

ultimately became accustomed to 9, 8, 7, 6, 5, 4. Thirdly, why this

reading of the hours backwards? Let us suppose a toiler commencing

at sunrise, or six. When he toiled one hour he felt that there was

one less to come and he called it five. This looks quite logical, for

the diminishing numbers indicated to him how much of his day's toil

was to come. Another explanation which is probably the foundation

of "secondly" and "thirdly" above, is the fact that mathematics and

superstition were closely allied in the old days of Japan. If you

take the numbers 1 to 6, Fig. 23, and multiply them each into the

uncanny "yeng number," or nine, you will find that the last digits,

reading downwards, give 9, 8, 7, 6, 5, 4. Stated in other words:

When 1 to 6 are multiplied into "three times three" the last figures

are 9, 8, 7, 6, 5, 4, and _1, 2, 3, have disappeared_; so the common

people were filled with fear and awe. Some of the educated, even now,

are mystified by the strange results produced by using three and nine

as factors, and scientific journals often give space to the matter.

We know that these results are produced by the simple fact that nine

is one less than the "radix" of our decimal scale of numbers. Nine is

sometimes called the "indestructible number," since adding the digits

of any of its powers gives an even number of nines. But in those days

it was a mystery and the common people feared the mathematicians, and

I have no doubt the shrewd old fellows took full advantage of their

power over the plebeians. In Japan, mathematics was not cleared of

this rubbish till about 700 A. D.

[Illustration: Fig. 23--Use of "Yeng Number" and Animal Names of

Hours]

On the right-hand side of Fig. 23 are given the animal names of

the hours, so the day and night hours could not be mistaken. In

selecting the _rat_ for night and the _horse_ for day they showed

good taste. Their forenoon was "before horse" and their afternoon

"after horse." Japanese clocks are remarkable for variety. It looks

as if they were always made to order and that the makers, probably

urged by their patrons, made extreme efforts to get in wonderful

motions and symbols relating to astronomy and astrology. Anyone

examining about fifty of them would be likely to conclude that it was

almost hopeless to understand them all. Remember, this is the old

Japanese method. Nearly all the clocks and watches I saw in Japan

were American. It will now be necessary to close this chapter with a

few points on the curious striking of Japanese clocks.

In those like Figs. 14, 15, 19, the bell and hammer can be seen. In

the type of Fig. 16, the whole striking mechanism is in the weight.

In fact, the striking part of the clock is the weight. On each of the

plates, having the hour numerals, Fig. 16, a pin projects inwards and

as the weight containing the striking mechanism, descends, a little

lever touches these and lets off the striking just when the pointer

is on the hour numeral. Keeping this in mind, it is easy to see that

the clock will strike correctly when the hour is indicated by the

pointer, no matter how the hour plates are set for long or short

days. Similar pins project inwards from movable plates on Figs. 12,

13, 14, 15, so they strike correctly as each hour plate comes to the

top just under the point of the fixed hand. In Fig. 19, the striking

is let off by a star wheel just as in old Dutch clocks. Clocks

like Figs. 18-22 do not strike. In all cases the hours are struck

backwards, but the half-hours add another strange feature. The _odd_

numbered hours, 9, 7, 5, are followed by one blow at the half hour;

and the _even_ hours, 8, 6, 4 by two blows, or stated altogether--

9_{1} 8_{2} 7_{1} 6_{2} 5_{1} 4_{2}.

Here the large figures are the hours and the small ones the

half-hours. Only one bell is used, because there being no one and

two among the hours, the half-hours cannot be mistaken. This is not

all, for you can tell what half hour it is within two hours. For

example, suppose you know approximately that it is somewhere between

9 and 7 and you hear the clock strike 2, then you know it is half

past 8. See the large and small figures above. This is far superior

to our method of one at each half-hour.

By our method the clock strikes _one_ three times consecutively,

between 12 and 2 o'clock and thus mixes up the half hours with one

o'clock. Some interesting methods of striking will be explained in

the third chapter when we deal with modern time keeping.

Time and Its Measurement · 第 2 / 4 章