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Originally posted by Harte
Your wiki link states that the sexagesimal system was invented in Sumer. It says nothing about the Sumerians using it invent the concept of standard hours, minutes or seconds.
All of this can be easily verified at another wiki page here.
Harte
Originally posted by Cauliflower
It's a little hard to actually date some of these conventions, you ask yourself were these numbers kludged up to fit the prior art or were the ancient astronomers and mathematicians that far sighted?
Originally posted by yampa
But I found it now. You can update your information about the origins of the second, minute and hour.
en.wikipedia.org...
"In the Archaic System time notation was written in the U4 System U. Multiple lunisolar calendars existed; however the civil calendar from the holy city of Nippur (Ur III period) was adopted by Babylon as their civil calendar.[6] The calendar of Nippur dates to 3500 BCE and was itself based on older astronomical knowledge of an uncertain origin. The main astronomical cycles used to construct the calendar were the synodic month, equinox year, and sideral day."
"Although not directly derived from it, there is a 1:2 proportional relationship between SI and Sumerian metrology. SI inherited the convention of the second as 1/86,400th of a solar day from Sumer thus, two Sumerian seconds are approximately one SI second.[8]"
Originally posted by yampa"The calendar of Nippur dates to 3500 BCE and was itself based on older astronomical knowledge of an uncertain origin."
Originally posted by yampa
That is a disturbing amount of squirming!
60 x 60 x 24 = 86400 - ya ken?
en.wikipedia.org...
"A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing, a frequency of 1/2 Hz. At standard gravity its length is 0.994 m (39.1 in). "edit on 10-8-2013 by yampa because: (no reason given)
Originally posted by yampa
I never said the Sumerians invented the second. I said I believe the second is a natural unit that the Sumerians rediscovered.
And yes, I am saying that some of the metric system of units are a form of natural unit too. That is the subject of this thread - how did the AE put a pyramid on a latitude which includes modern units? That is the question I am attempting to answer.
Thanks for pointing out the Sumerian units table, that is helpful to my argument:
1 sumerian cubit = 0.497m 'ideal'. So a pendulum with a rod length of 2 * 0.497m = 0.994m
Again:
"A seconds pendulum is a pendulum whose period is precisely two seconds; one second for a swing in one direction and one second for the return swing, a frequency of 1/2 Hz. At standard gravity its length is 0.994 m (39.1 in). "
So, according to that table, a pendulum of exactly 2 sumerian cubits will swing exactly 86400 times day.
The links I've posted look like they come from academic origins and include references, but if you'd like to point out a specific error, or tell me which thing I've quoted is incorrect, please do. I'm disregarding semantics as a legitimate argument (since we are talking about natural physical constants, not wordplay).
The day was subdivided sexagesimally, that is by 1⁄60, by 1⁄60 of that, by 1⁄60 of that, etc., to at least six places after the sexagesimal point (a precision of better than 2 microseconds) by the Babylonians after 300 BC. For example, six fractional sexagesimal places of a day was used in their specification of the length of the year, although they were unable to measure such a small fraction of a day in real time.
The Babylonians did not use the hour, but did use a double-hour lasting 120 modern minutes, a time-degree lasting four modern minutes, and a barleycorn lasting 31⁄3 modern seconds (the helek of the modern Hebrew calendar), but did not sexagesimally subdivide these smaller units of time. No sexagesimal unit of the day was ever used as an independent unit of time.
In 1000, the Persian scholar al-Biruni gave the times of the new moons of specific weeks as a number of days, hours, minutes, seconds, thirds, and fourths after noon Sunday.
Originally posted by Harte
According to your own post above, the pendulum would swing 43,200 times in a 24 hour period. Misreading again, or do you mean a half-swing?
Originally posted by yampa
Originally posted by Harte
According to your own post above, the pendulum would swing 43,200 times in a 24 hour period. Misreading again, or do you mean a half-swing?
Yes, maybe I have misread - swing, half-swing, beat, half beat, 43200 or 86400 seconds, whatever - name your sexagesimal periods whatever you like.
There is a really nice diagram on the wikipedia ancient mesopotamian units of measurement page, it talks about a seconds pendulum being used as part of sumerian calender metrology (the thing you think has nothing to do with seconds)
Originally posted by yampaPerhaps you could email the person who wrote that diagram and set them straight using the compelling arguments you have presented here?
Originally posted by yampa I fail to see why sumerian seconds are an issue for you, all this information does is compound the potential intelligence of the old kingdom egyptians. It's quite likely they're interlinked?
Originally posted by yampaI can get what I need from those type of seconds, and I can proceed to look at how this fits into the ability to calculate the speed of light using moon orbits and numerical constants.
Originally posted by yampa
"The Classical Mesopotamian system formed the basis for Elamite, Hebrew, Urartian, Hurrian, Hittite, Ugaritic, Phoenician, Babylonian, Assyrian, Persian, Arabic, and Islamic metrologies.[7] The Classical Mesopotamian System also has a proportional relationship, by virtue of standardized commerce, to Bronze Age Harappan and Egyptian metrologies."
Originally posted by Harte
Note that your quote from wiki above states that the relationship between Egyptian and Mesopotamian metrology was proportional. Note also the statement that this proportionality was established by virtue of commerce.
This means that they both knew how to convert from one system to the other. How else could they trade?
You're gonna have a hard time establishing an Egyptian second for your speed of light speculation. The Egyptians didn't use the sexagesimal system.
As a courtesy, I suggest you read the info at this link before you spend a lot of time tracking down the Egyptian second and/or meter.
Originally posted by yampa
You can count time with a pendulum. A pendulum with a rod of 99% of the length of a meter will swing 86400 times day. That was the case with the Sumerians, the Egyptians and us today.
Sarcasm and semantics does not a good discussion make.
360 degree circle = 4 quadrants of 90 degrees - right?