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Subject:
            Re: Inter Gravissimas
      Date:
            Fri, 20 Dec 1996 15:38:57 -0800
      From:
            Simon Cassidy <simoncas@pacbell.net>
        To:
            East Carolina University Calendar discussion List <CALNDR-L>

Rodolphe Audette wrote:
>
> Please note that, although I typed it in very carefully, rereading it
> several times, this doesn't mean there are no typos left in it. I even think
> there are some typos in my original text, particularly in article 11, where
> a 26 year cycle is mentioned, while I know there is no 26 year cycle in the
> Gregorian ecclesiastical computus. Maybe that XXVI is a typo for XXVIII...
> (Perhaps a good translation would clarify this...)
>
> [snip]...
>
> 11. Postremo, quoniam partim ob decem dies de mense octobris anni
> MDLXXXII (qui correctionis annus recte dici debet) exemptos,
> partim ob ternos etiam dies quolibet quadringentorum annorum
> spatio minime intercalandos, interrumpatur necesse est cyclus
> litterarum dominicalium XXVIII annorum ad hanc usque diem
> usitatus in Ecclesia Romana, volumus in eius locum substitui
> eumdem cyclum XXVI annorum, ab eodem Lilio, tum ad dictam
> intercalandi bissexti in centesimis annis rationem, tum ad
> quamcumque anni solaris magnitudinem, accommodatum; ex quo
> littera dominicalis beneficio cycli solaris, aeque facile ac
> prius, ut in proprio canone explicatur, reperiri possit in
> perpetuum.
>

My copy of this text is from Francois Viete's essay against Clavius and its
corresponding paragraph reads as follows:

      Postremo, quoniam partim ob decem dies de mense Octobri anni 1582
   (qui correctionis annus recte dici debet)exemptos, partim ob ternos etiam
   dies quolibet quadringentorum annorum spatio minime intercalandos,
   interrumpatur necesse est cyclus literarum Dominicalium 28. annorum
   ad hanc usque diem usitatus in Ecclesia Romana, Volumus in eius locum
   substitui eundem cyclum 28. annorum ab eodem Lilio, tum ad dictam
   intercalandi Bissexti in centesimis annis rationem, tum ad quamcumque
   anni Solaris magnitudinem, accommodatum, ex quo litera Dominicalis
   beneficio cycli Solaris aeque facile, ac prius, ut in proprio canone expli-
   catur, reperiri potest in perpetuum.

Note that the text that Rodolphe gives is the introduction to the actual Canons
for the computation of Easter. The canons are a much longer latin document.

I summarise them here:

Canon I.   On the nineteen-year cycle of the Golden Numbers, (with 2 tables).

Canon II.  The Epact and the newmoon, (+7 tables, 2 later changed by Clavius).

Canon III. On the 28-year Solar cycle or Dominical letters, ( with 2 tables).

Canon IV.  On the Dominical Letters, (with 8 tables).

Canon V.   On the Indiction. (with two tables).

Canon VI.  On the movable feasts. (with 3 tables and saints-day calendar).
           (The epact system was revamped and altered by Clavius after 1600.)
 
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