Karl Palmen's Rainbow Alphabet Calendar


Date: Fri, 11 Sep 1998
From: Karl Palmen
Subject: Rainbow Alphabet Calendar - with table
To: CALNDR-L

Dear Calendar People

Some of you may have already heard of a Rainbow Alphabet Calendar I had invented. Below I explain it and add a conversion table.

It has 52 rainbow weeks named after the letters of the alphabet 'A' to 'Z' and 'a' to 'z'. The days of the rainbow week are Redday, Orangeday, Yellowday, Greenday, Blueday, Indigoday and Violetday. Week 'Z' also has a Magentaday and so does week 'z' in Rainbow leap years. The Magentadays ensure that there are exactly 52 rainbow weeks in a year. They cause the rainbow week to move relative to the 7 day week. Reddays presently occur on Fridays, but after the next Magentaday, they'll occur on Saturdays etc.

I chose the new year so that the Equinoxes occur in week 'M' and 'm' and the solstices in weeks 'Z' and 'z'. The northward equinox occurred on Orangeday M this year.

Below is a conversion table to/from our Gregorian Calendar.

   Northward Sun                   Southward Sun

   RE OR YE GR BL IN VI            RE OR YE GR BL IN VI
 A 25.26.27.28.29.30.31. Dec     a 26 27 28 29 30  1 02 Jul
 B  1.02.03.04.05.06.07. Jan     b 03 04 05 06 07 08 09 Jul
 C 08.09.10.11.12.13.14. Jan     c 10 11 12 13 14 15 16 Jul
 D 15.16.17.18.19.20.21. Jan     d 17 18 19 20 21 22 23 Jul
 E 22.23.24.25.26.27.28. Jan     e 24 25 26 27 28 29 30 Jul
 F 29.30.31. 1.02.03.04. Feb     f 31  1 02 03 04 05 06 Aug
 G 05.06.07.08.09.10.11. Feb     g 07 08 09 10 11 12 13 Aug
 H 12.13.14.15.16.17.18. Feb     h 14 15 16 17 18 19 20 Aug
 I 19.20.21.22.23.24.25. Feb     i 21 22 23 24 25 26 27 Aug
 J 26.27.28. 1 02 03 04 Mar      j 28 29 30 31  1 02 03 Sep
 K 05 06 07 08 09 10 11 Mar      k 04 05 06 07 08 09 10 Sep
 L 12 13 14 15 16 17 18 Mar      l 11 12 13 14 15 16 17 Sep
 M 19 20 21 22 23 24 25 Mar      m 18 19 20 21 22 23 24 Sep
   RE OR YE GR BL IN VI            RE OR YE GR BL IN VI
 N 26 27 28 29 30 31  1 Apr      n 25 26 27 28 29 30  1 Oct
 O 02 03 04 05 06 07 08 Apr      o 02 03 04 05 06 07 08 Oct
 P 09 10 11 12 13 14 15 Apr      p 09 10 11 12 13 14 15 Oct
 Q 16 17 18 19 20 21 22 Apr      q 16 17 18 19 20 21 22 Oct
 R 23 24 25 26 27 28 29 Apr      r 23 24 25 26 27 28 29 Oct
 S 30  1 02 03 04 05 06 May      s 30 31  1 02 03 04 05 Nov
 T 07 08 09 10 11 12 13 May      t 06 07 08 09 10 11 12 Nov
 U 14 15 16 17 18 19 20 May      u 13 14 15 16 17 18 19 Nov
 V 21 22 23 24 25 26 27 May      v 20 21 22 23 24 25 26 Nov
 W 28 29 30 31  1 02 03 Jun      w 27 28 29 30  1 02 03 Dec
 X 04 05 06 07 08 09 10 Jun      x 04 05 06 07 08 09 10 Dec
 Y 11 12 13 14 15 16 17 Jun      y 11 12 13 14 15 16 17 Dec
 Z 18 19 20 21 22 23 24 Jun      z 18 19 20 21 22 23 24 Dec
   RE OR YE GR BL IN VI            RE OR YE GR BL IN VI

Annual Magentaday                Leap Magentaday
Magentaday Z = June 25th         Magentaday z = Dec 25th

Leap Magentaday occurs in the year before a Gregorian leap year. Dates followed by a dot are one day later in the Gregorian calendar before or on a February 29.


Karl Palmen


Redday little l [l1]

Friday Jack of Hearts

Third Saturnight Month 6 Yerm 2

PS: If you have Microsoft Exchange, you may ask for a colour version of this note.


Date: Fri, 18 Sep 1998
From: Karl Palmen
Subject: Double Rainbow Calendar FW: Various (2) Rainbow Calendar
To: CALNDR-L

Dear Calendar People
From: Joseph McCollum
Reply To: East Carolina University Calendar discussion List
Sent: 16 September 1998
To: CALNDR-L
Subject: Various

(2) I got to thinking about the rainbow calendar. I think it would be elegant to have seven 52-day "color seasons" overlapping the climatological ones. Each climatological season would have 1 3/4 "color seasons." I've played around with the endpoints, and I think I like this one the best:

Spring: Blue (1/4), Green, Yellow (1/2)
Summer: Yellow (1/2), Orange, Red (1/4)
Autumn: Red (3/4), Violet
Winter: Indigo, Blue (3/4).

I think six colours would be better (e.g. Violet, Blue, Green, Yellow, Orange, Red).

I then realise each season could have 61 days, except the last season of a common year with 60. Each season would be divided into 10 rainbow weeks (numbered 0 to 9). A Magentaday would occur at the end of each 61 day season. If the new year began on April 1st or 61 days before then, then 5 or the 6 seasons would begin on the first day of a month (This 61 day cycle is exploited in the "Doomsday" Method of finding the day of week).

This forms a Double Rainbow Calendar

Hence we could have seasons

Violet Jan 30/31 - Mar 31
Blue Apr 1 - May 31
Green Jun 1 - July 31
Yellow Aug 1 - Sept 30
Orange Oct 1 - Nov 30
Red Dec 1 - Jan 29/30

Today (18th Sept) would be Violetday 8 Yellow
tomorrow would be Blueday 8 Yellow
and yesterday would have been Redday 7 Yellow.
In a fortnight's time (30 Sept) it would be Magentaday Yellow.

If there were no Magentadays each season could begin on its own colour day (e.g. Yellow on Yellowday). It would be necessary to skip a Redday at the end of a common double rainbow year. Then I'd number the days of the season 1 to 61 or 60. I call this the sliding week double rainbow calendar.

Karl Palmen


Redday little m [m1] (Rainbow Alphabet Calendar - week of southward equinox)

Violetday 8 Yellow (Double Rainbow Calendar - fixed week)

Yellowday Yellow 49 ( Double Rainbow Calendar - sliding week)


other weekday color connotations

Karl Palmen's Calendars

Calendrics

Essays on mathematical themes


Text copyright 1998 by the authors. (Karl Palmen contact info) . Published with permission.
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