On Tue, Sep 20, 2022 at 4:44 AM Frank King <[email protected]> wrote:

> Dear Michael,
>
> I agree with much of what you say about the
> French Republican Calendar but, importantly,
> you say nothing about how this calendar
> relates to sundials.  Let me explain in
> simple steps:
>
>  1. Sketch an outline vertical sundial with
>     seven declination curves and a single
>     hour line, at 12 noon.
>
>  2. The seven curves mark the boundaries of
>     six regions.  Note each region is divided
>     into two parts by the 12 noon hour line.
>
>  3. We have 12 spaces.  Now write the label
>     CAPRICORN in the top left space.  This
>     is the first astronomical month after
>     the winter solstice.
>
>  4. In the five spaces underneath, you write
>     the names AQUARIUS to GEMINI.
>
>  5. On the right hand side you start at the
>     bottom and work up with the names CANCER
>     to SAGITTARIUS at the top.
>
>  6. This sundial will now tell you which
>     astronomical month you are in.  Of
>     course you need to know whether the
>     solar declination is increasing or
>     decreasing but everyone who reads
>     this mailing list will know that :-)
>
>  7. Now, just for a moment, we do something
>     VERY SILLY.  We replace the labels with
>     the names of the Gregorian months.  So,
>     replace the label CAPRICORN with the
>     label JANUARY so on.
>
>  8. Notice that for about two-thirds of
>     JANUARY the sun really is in CAPRICORN
>     so this silly sundial actually gives
>     the correct Gregorian month about 67%
>     of the year.
>
>  9. NOW for the clever bit.  Without changing
>     ANY detail of the specification of the
>     Gregorian Calendar (which you clearly
>     want to keep) you follow the precedent
>     set by your hero Pope Gregory III.  Just
>     once, you cut 10 days from the year.  We
>     could do this anywhere but let's cut
>     10 days from March.  JUST ONCE!
>
> 10. We now find the March Equinox is right
>     at the end of March so APRIL almost
>     exactly coincides with ARIES.
>
> 11. We find that each Gregorian month now
>     almost (but not quite) overlaps the
>     corresponding astronomical month.
>
> 12. This way, our 12 spaces really can be
>     labelled JANUARY to DECEMBER and the
>     sundial gives the correct Gregorian
>     month over 90% of the time.
>
> This makes life MUCH EASIER for sundial
> designers who want their sundials to tell
> the date, at least approximately.  It is
> almost impossible to estimate the date
> to better than two or three days close
> to the solstices so this calendar would
> be quite usable.
>
> OK.  Now for the bit you won't like...
>
> The adjusted Gregorian Calendar is very
> nearly the same as the Republican Calendar.
> The main differences are:
>
>  1. They made every month 30 days.
>
>  2. They changed the rules for leap years.
>
> The first change is not very important but
> it is easier to teach children that EVERY
> month is 30 days.
>
> The second change IS important because, by
> insisting that every year begins on the
> day of the September equinox, you don't
> get wild swings in the dates of the starts
> of the atarts of the astronomical months.
> With the current Gregorian Calendar, the
> September Equinox can be on any of the
> dates 21, 22, 23 and 24 September and that
> is just at the longitude of France.
>
> The Republican Calendar ensures that the
> September Equinox is ALWAYS on the first
> day of the first month of the year in
> France.  If you change longitude then
> it will never drift more than a day
> either side.
>
> Suggestion:
>
> Why don't you order one of these calendars
> (English or Italian edition) then:
>
>   LIVE WITH IT FOR A YEAR and, this
>   time next year, you can tell us all
>   how you got on with it :-)
>
> You might even enjoy the pictures and the
> way the months work out.
>
> As others have said: this calendar is
> GREAT FUN.
>
> Have a good year!
>
> Frank
>
> Frank King
> Cambridge, U.K.
>
>
>
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