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Re: Looking for a Monday-Friday J/S

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In comp.lang.javascript message <Xns9FF55DCD845FEeejj99@194.109.133.133>
, Fri, 10 Feb 2012 08:13:17, Evertjan. <exjxw.hannivoort@interxnl.net>
posted:

>Dr J R Stockton wrote on 09 feb 2012 in comp.lang.javascript:
>
>> FYI, I still want to locate the definitely definitive definition of the
>> chosen Lunar Correction expression in Clavius's Opera Mathematica V.
>
>I do not quite understand the ultrafinal implications
>of a "definitely definitive definition".
>Would that require indefinite validity?

The Papal Bull defines the Gregorian Calendar /in perpetuo/, and Clavius
was authorised to do likewise.  If the Civil Calendar is changed, it
will no longer be Gregorian.  If calendar change is in the air, the
Roman Catholic Church should be careful about the naming of Popes.


>However, next to your own demonic publications
>and a nice scan at:
><http://mathematics.library.nd.edu/clavius/>

I know of that.  But I have a better copy, which someone let me have by
FTP.  As it is 383,527,728 bytes, I can only AFAIK send it to someone
with an open FTP server and that amount of spare space.

>this might be of help in your lunar if not lunatic quest:
>
>Lessons from reading Clavius
>by Anders O. F. Hendrickson
><http://www.cord.edu/faculty/ahendric/presentations/PittsburghClavius.pdf>

Interesting, but of no direct use.  I have all of that, implemented
literally using JavaScript, from the Six Canons, on my site.  Its "Table
of the equation of the perpetual cycle of Epacts", on page 22/51, does
not even cover one the full range of letters (which takes, as can
readily be seen from a different but functionally equivalent copy in the
Book of Common Prayer of the Church of England, about 6500 years, and I
think needs several cycles to repeat exactly (300,000 years?)).  I need
the authority for the known algorithm for generating that table.

The Table takes one step along the cycle of about 30 letters for every
Leap Year omitted in the Gregorian Calendar (3 per 400 years), and one
step back - the Lunar Correction - 8 times per 2500 years.  That can be
verified by inspection to be correct for 1583 to 4999 (1582 seems an
error - on Clavius' part : it is so in p.22 of the Calendarium - 1582
should precede -10 days).

There is no current doubt that the 8/2500 is perpetual, but that lack of
doubt may be wrong.  Clavius considered better alternatives in Opera
Mathematica V, and that is why the fully definitive statement (if any)
is needed.

You might also like <http://www.merlyn.demon.co.uk/euler327.htm>.

-- 
 (c) John Stockton, nr London, UK.    ?@merlyn.demon.co.uk     Turnpike v6.05.
 Website  <http://www.merlyn.demon.co.uk/> - w. FAQish topics, links, acronyms
 PAS EXE etc. : <http://www.merlyn.demon.co.uk/programs/> - see in 00index.htm
 Dates - miscdate.htm estrdate.htm js-dates.htm pas-time.htm critdate.htm etc.

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Thread

Looking for a Monday-Friday J/S dennism3@dennism3.invalid (Dennis M) - 2012-02-03 20:54 -0600
  Re: Looking for a Monday-Friday J/S Jeff North <jnorthau@yahoo.com.au> - 2012-02-04 14:58 +1100
    Re: Looking for a Monday-Friday J/S dennism3@dennism3.invalid (Dennis M) - 2012-02-03 22:33 -0600
      Re: Looking for a Monday-Friday J/S Swifty <steve.j.swift@gmail.com> - 2012-02-04 08:56 +0000
        Re: Looking for a Monday-Friday J/S "Evertjan." <exjxw.hannivoort@interxnl.net> - 2012-02-04 09:11 +0000
          Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1205@merlyn.demon.co.uk> - 2012-02-05 17:50 +0000
            Re: Looking for a Monday-Friday J/S "Evertjan." <exjxw.hannivoort@interxnl.net> - 2012-02-06 11:22 +0000
              Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1206@merlyn.demon.co.uk> - 2012-02-07 22:17 +0000
                Re: Looking for a Monday-Friday J/S "Evertjan." <exjxw.hannivoort@interxnl.net> - 2012-02-08 08:56 +0000
                Re: Looking for a Monday-Friday J/S Gene Wirchenko <genew@ocis.net> - 2012-02-08 09:22 -0800
                Re: Looking for a Monday-Friday J/S "Evertjan." <exjxw.hannivoort@interxnl.net> - 2012-02-09 16:49 +0000
                Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1206@merlyn.demon.co.uk> - 2012-02-09 18:53 +0000
                Re: Looking for a Monday-Friday J/S "Evertjan." <exjxw.hannivoort@interxnl.net> - 2012-02-10 08:13 +0000
                Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1206@merlyn.demon.co.uk> - 2012-02-11 23:12 +0000
                Re: Looking for a Monday-Friday J/S John G Harris <john@nospam.demon.co.uk> - 2012-02-10 16:02 +0000
                Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1206@merlyn.demon.co.uk> - 2012-02-11 23:24 +0000
        Re: Looking for a Monday-Friday J/S Andrew Poulos <ap_prog@hotmail.com> - 2012-02-04 20:13 +1100
          Re: Looking for a Monday-Friday J/S Swifty <steve.j.swift@gmail.com> - 2012-02-05 10:01 +0000
            Re: Looking for a Monday-Friday J/S Andrew Poulos <ap_prog@hotmail.com> - 2012-02-06 08:00 +1100
              Re: Looking for a Monday-Friday J/S Swifty <steve.j.swift@gmail.com> - 2012-02-06 12:20 +0000
        Re: Looking for a Monday-Friday J/S dennism3@dennism3.invalid (Dennis M) - 2012-02-07 01:05 -0600
    Re: Looking for a Monday-Friday J/S Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2012-02-04 14:02 +0100
  Re: Looking for a Monday-Friday J/S Dr J R Stockton <reply1205@merlyn.demon.co.uk> - 2012-02-05 17:41 +0000
  Re: Looking for a Monday-Friday J/S Captain Paralytic <paul_lautman@yahoo.com> - 2012-02-07 05:18 -0800

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