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Re: new public beta of Kalendis released
by Karl Palmen
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Dear Helios, Irv and Calendar People
I reckon that the leap week years of Irv’s 293-year cycle
using K=146, which makes it into a Helios cycle are
003 009 015
020 026
031 037 043
048 054 060
065 071 077
082 088
093 099 105
110 116 122
127 133 139
144 150
155 161 167
172 178 184
189 195 201
206 212
217 223 229
234 240 246
251 257 263
268 274
279 285 291
Note that within each row the leap week years are six
years apart while between rows they are five years apart. The five short rows
are evenly spaced once every four rows within each 293-year cycle but are 3
rows apart between 293-year cycles. This gives rise to a 62-year sub-cycle within
the 293-year cycle, which is interrupted by the end of the 293-year cycle.
It can be seen that there are eight more odd-numbered leap years
than even numbered leap years. There is no need for a cycle that has its leap
years spread as evenly as possible to have near equal as possible numbers of
even and odd numbered leap years. An extreme counter example is the 33-year
cycle.
Karl
10(06(20
From: East Carolina University Calendar
discussion List [mailto:CALNDR-L@...] On Behalf Of Irv
Bromberg
Sent: 15 March 2009 03:58
To: CALNDR-L@...
Subject: new public beta of Kalendis released
Dear
Calendar People:
I've
released a new public beta version of Kalendis at <http://www.sym454.org/kalendis/>,
see the instructions and release notes there.
Of
special note to CALNDR members is the new support of symmetrical leap cycles within
the Symmetry454 calendar and its variants, for fixed arithmetic cycles.
For
the preferred 52/293 leap cycle, this means that in the leap rule K=166 is
changed to 146 in this beta. This will soon become the calendar's new
leap rule -- more than 5 years after Karl Palmen first suggested it! (I'm
still polishing off PDF documentation revisions, not changed at Sym454 home
page yet.)
The
Previous and Next menus now have commands to jump to
the previous or next leap cycle. Press Ctrl-A to do it again, repeatedly,
to quickly check astronomical drift into the past or future, watching the solar
longitude, starting from the desired point in the first year of a leap cycle,
such as the day corresponding to the calendar season of the leap cycle.
The
Symmetry454 leap year lists now show the symmetrical subcycle groupings.
Scanned by iCritical.
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