RVP Calendar

THIS IS FOR THE MOST PART THE OLD VERSION OF THE RAINBOW CALENDAR (STARTED JUNE 1998).

SOME USEFUL LINKS FROM THAT TIME AT POINT 6 ; OTHER CALENDARS CALLED 'RAINBOW' :

RAINBOW-CALENDAR BY MASANOV Konstantin Anatolievich see example of corresponding features and

			RAINBOW CALENDAR TOPICS:	FLY TO:
1	R	1	RAINBOW INDEX :	(1)
2	A	2	AN OVERVIEW	click 2
3	I	3	HOW IT WORKS	click 3
4	N	4	CALENDARS	click 4
5	B	5	RAINBOW	click 5
6	O	6	OTHER RELATED LINKS	click 6
7	W	7	WEEK/ 7	click 7
8	CALENDAR	8	FORMAL INTRODUCTION	click 8
9	© R.A.van Putten, Rotterdam	9	RAINBOW METAPHORS	click 9
0	Under perpetual (re)construction...	0	THE CYCLE GOES ON...	click 0

AN OVERVIEW

CLICK : TO RETURN TO TOPICS

With the help of this calendar you're able to find the day of the week from any date!

If you use my tables it should be easy. Don't let those lines scare you off! If you don't understand it all, read it again or send us an e-mail with your questions or amendations.

HOW IT WORKS

CLICK : TO RETURN TO TOPICS

New is that you can 'click' your way without calculations to the solution, CLICK : CLICKCALENDAR .

For those interested in the few calculations see below :

LEAVING OUT COMPLETE WEEKS.

You start with a value based on counted days, then you repeat subtracting complete weeks until the value is smaller or equal to 7.

NUMBER OF DAYS	Value left after subtraction of weeks:	SOLUTION: DAY OF THE WEEK:
8,15,22,29,36,43,50,57...	1	MONDAY
9,16,23,30,37,44,51,58...	2	TUESDAY
10,17,24,31,38,45,52...	3	WEDNESDAY
11,18,25,32,39,46,53...	4	THURSDAY
12,19,26,33,40,47,54...	5	FRIDAY
13,20,27,34,41,48,55...	6	SATURDAY
14,21,28,35,42,49,56...	7	SUNDAY

THE COLOUR OF DISTANCE.

Another example: the leap year 92.

From the table of YEARS:

Dates in january or february: X= 8, Y= 4 ; X +Y =12, 12 -7 =5 ; RESULT: 5.

Dates in march .....december: X= 8 ,Y= 5 ; X + Y =13, 13 -7 =6 ; RESULT: 6.

	1	2	3	4	5	6	Y	7	8	9





							5		II-92
							4		I-92
							3
							2
							1
X	1	2	3	4	5	6	0	7	8	9

Because we have 0 days to add when cc=20, this result is also valid for the year 2092.

Dates in january or february: I-92 ; RESULT: blue = 5.

Dates in march .....december: II-92; RESULT:indigo = 6.

We add days that are based on the distance of particular dates to the given day/month.

An example: the year 2092.

EXAMPLE LEAP-YEAR 2092 FIRST HALF (I) ; PARTICULAR DATE = FRIDAY

POSITION OF DATES

DAYS TO ADD

P=ABSOLUTE POSITION OF PARTICULAR DATE

G= RELATIVE POSITION OF GIVEN DATE

FRI

SAT

SUN

MON

TUE

WED

THU

We add days that are based on the distance of "departure"-dates to the given day/month.

An example: the year 2092.

LEAP YEAR 2092 SECOND HALF (II); date of departure = SATURDAY

POSITION OF DATES

DAYS TO ADD

S=ABSOLUTE POSITION OF DEPARTURE DATE

G= RELATIVE POSITION OF GIVEN DATE

SAT

SUN

MON

TUE

WED

THU

FRI

CALENDARS

CLICK : TO RETURN TO TOPICS

MNEMONICS for Colourdistance.
*PART I - PARTICULAR DATES*
JANUARY	11/1
FEBRUARY	22/2
PART II - DEPARTURE DATES
		odd, odd sequence ^	odd-1, odd sequence <	even month day>month
MARCH		1/3
APRIL				5/4
MAY		3/5
JUNE				7/6
JULY		5/7
AUGUST				9/8
SEPTEMBER			6/9
OCTOBER				11/10
NOVEMBER			8/11
DECEMBER				13/12

LEAP-YEARS.

V-Cycle of 5 parts allways begins with a leap-year: I = Jan-Feb of leap-year 1. II= Mar-Dec of leap-year 1. III=Jan-Dec of year 2. IV= Jan-Dec of year 3. V= Jan-Dec of year 4 VI= Jan-Feb of leap-year 5. VII= Mar-Dec of leap-year 5. VIII=Jan-Dec of year 6. VIII= Jan-Dec of year 7. VV= Jan-Dec of year 8 ,etc. Example: The years 1996 - 2001 ( leap-year 1 = 1996 ).
Colour of the Year V-Cycle of 5 parts: ending with : -I,-II,-III,-IV,-V.		Colour of Century (19..) =1; Color increases with 1 day.
VIII		2001 [= part III ]
VII (-31/12)		II-2000 [part II of leap-year]
VI (-29/2)	I-100	I-2000 [part I of leap-year]
V	99	1999 [= part V. ]
IV	98	1998 [= part IV ]
III	97	1997 [= part III ]
II (-31/12)	II-96	II-1996 [part II of leap-year].
I (-29/2)	I-96	I-1996 [part I of leap- year].
X	9

TABLE OF YEARS CONTAINING V-Cycle.

X	1	2	3	4	5	6	Y	7	8	9
top	II-12	II-24	II~36	II-48	II-60	II-72	3	II-84	II-96
	I-12	I-24	I-36	I-48	I-60	I-72	2	I-84	I-96
VVV	11	23	35	47	59	71	1	83	95	VVV
VVIV	10	22	34	46	58	70	7	82	94	VVIV
VVIII	9	21	33	45	57	69	6	81	93	VVIII
VVII (-31/12)	II-8	II-20	II-32	II-44	II-56	II-68	5	II-80	II-92	VVII (-31/12)
VVI (-29/2)	I-8	I-20	I-32	I-44	I-56	I-68	4	I-80	I-92	VVI (-29/2)
VV	7	19	31	43	55	67	3	79	91	VV
VIV	6	18	30	42	54	66	2	78	90	VIV
VIII	5	17	29	41	53	65	1	77	89	VIII
X	1	2	3	4	5	6	0	7	8	9
VII (-31/12)	II-4	II-16	II-28	II-40	II-52	II-64	7	II-76	II-88
VI (-29/2)	I-4	I-16	I-28	I-40	I-52	I-64	6	I-76	I-88	I-100
V	3	15	27	39	51	63	5	75	87	99
IV	2	14	26	38	50	62	4	74	86	98
III	1	13	25	37	49	61	3	73	85	97
II (-31/12)	II-0	II-12	II-24	II-36	II-48	II-60	2	II-72	II-84	II-96
I (-29/2)		I-12	I-24	I-36	I-48	I-60	8	I-72	I-84	I-96
0		11	23	35	47	59	0	71	83	95
X	1	2	3	4	5	6	Y	7	8	9

CALENDAR 1995-2000.
*V- cycle:*		0.	I/II	III	IV	V.	(V)I/II
*PART I - PARTICULAR DATES*		1995 wed	I-1996 thu	1997 sat	1998 sun	1999 mon	I-2000 tue
JANUARY	11/1
FEBRUARY	22/2
PART II - DEPARTURE DATES			II-1996 fri				II-2000 wed
MARCH	1^3
APRIL	5>4
MAY	3^5
JUNE	7>6
JULY	5^7
AUGUST	9>8
SEPTEMBER	6<9
OCTOBER	11>10
NOVEMBER	8<11
DECEMBER	13>12

CALENDAR 1999-2004.
*V- cycle:*		0.	I/II	III	IV	V.	(V)I/II
*PART I - PARTICULAR DATES*		1999 mon	I-2000 tue	2001 thu	2002 fri	2003 sat	I-2004 sun
JANUARY	11/1
FEBRUARY	22/2
PART II - DEPARTURE DATES			II-2000 wed				II-2004 mon
MARCH	1^3
APRIL	5>4
MAY	3^5
JUNE	7>6
JULY	5^7
AUGUST	9>8
SEPTEMBER	6<9
OCTOBER	11>10
NOVEMBER	8<11
DECEMBER	13>12

Notice about the year "00" IN THE TABLE OF YEARS.

The year YY="00" is divided into part I & II like a leap-year.

However :the years 1700,1800,1900;2100,2200,2300;2500,2600,2700;... are no leap-years.

Part-I of year "00" is placed in I-100 , but it belongs to an earlier (!) century than

Part-II of year "00" which is placed in II-0.

RAINBOW

CLICK : TO RETURN TO TOPICS

Rainbows in general : take a look at ABOUT RAINBOWS: http://www.teachercertification.org/teach/rainbow-resources.php

OTHER RELATED LINKS

CLICK : TO RETURN TO TOPICS

	CALENDAR LINKS		LINKS
1		1	http://www.norbyhus.dk/calendar.html
2		2	http://calendarhome.com/tyc/
3		3	http://www.ecben.net/calendar.shtml
4		4	http://www.calendarzone.com/
5		5
6		6	http://rudy.ca/doomsday.html
7		7
8		8	www.mcs.csuhayward.edu/~malek/Mathlinks/Weekdays.html
9		9	http://www.pauahtun.org/Calendar/tools.html

WEEK / NUMBER SEVEN

CLICK : TO RETURN TO TOPICS

The present division of the year lacks the regularity by which the day is divided: 24x60x60 seconds.

The six number system calls for an year consisting of 12 months of 30 days each: 12x30 = 360 days.

But we divide the year of 365 or 366 days into 12 irregular months of 30 [or 31 or 28 or 29] days.

More regular would be: 52 weeks (=364) + 1 [or 2] days.

How nice would it be if the year and day could mirror each other!

The solution is definitely not very practical but it allows a central role for the week and the 7 number system.

We must allow some overlap of succeeding years because we expand the length of the regular (non leap-) year from about 52 weeks to exact 56 weeks, a greater year .

At the same time those 56 weeks form also a greater week consisting of 7 greater days of 8 normal weeks each.

We divide the usual day into 27 periods. The 28 points in -between can be compared with the date of departures.

THE GREATER MONDAY
DAYS starting from 21/12.	/WEEK-06	date of departure	CODE	TIME

15	01	04/01	ZA	00.53:20
29	03	18/01	AB	01.46:40
43	05	01/02	BC	02.40:00

THE GREATER TUESDAY
DAYS starting from 21/12.	/WEEK-14	date of departure	CODE	TIME
57	07	15/02	CD	03.33:20
71	09	01/03	DE	04.26:40
85	11	15/03	EF	05.20:00
99	13	29/03	FG	06.13:20

THE GREATER WEDNESDAY
DAYS starting from 21/12.	/WEEK-22	date of departure	CODE	TIME
113	15	12/04	GH	07.06:40
127	17	26/04	HI	08.00:00
141	19	10/05	IJ	08.53:20
155	21	24/05	JK	09.46:40

THE GREATER THURSDAY
DAYS starting from 21/12.	/WEEK-30	date of departure	CODE	TIME
169	23	07/06	KL	10.40:00
183	25	21/06	LM	11.33:20
197	27	05/07	MN	12.26:40
211	29	19/07	NO	13.20:00

THE GREATER FRIDAY
DAYS starting from 21/12.	/WEEK-38	date of departure	CODE	TIME
225	31	02/08	OP	14.13:20
239	33	16/08	PQ	15.06:40
253	35	30/08	QR	16.00:00
267	37	13/09	RS	16.53:20

THE GREATER SATURDAY
DAYS starting from 21/12.	/WEEK-46	date of departure	CODE	TIME
281	39	27/09	ST	17.46:40
295	41	11/10	TU	18.40:00
309	43	25/10	UV	19.33:20
323	45	08/11	VW	20.26:40

THE GREATER SUNDAY
DAYS starting from 21/12.	/WEEK-54(=02)	date of departure	CODE	TIME
337	47	22/11	WX	21.20:00
351	49	06/12	XY	22.13:20
365	51	20/12	YZ	23.06:40

THE GREATER THURSDAY (ALL 8 GREEN WEEKS).
DAYS starting from 21/12.	WEEK	date of departure	CODE	TIME

155	21	24/05	JK	09.46:40
162	22	31/05	K	10.13:20
169	23	07/06	KL	10.40:00
176	24	14/06	L	11.06:40
183	25	21/06	LM	11.33:20
190	26	28/06	M	12.00:00
197	27	05/07	MN	12.26:40
204	28	12/07	N	12.53:20
211	29	19/07	NO	13.20:00
218	30	26/07	O	13.46:40
225	31	02/08	OP	14.13:20

THE CENTERS OF EACH PERIOD.
DAYS starting from 21/12.	WEEK	date of departure	CODE	TIME
22	02	11/01	A	01.20:00
78	10	08/03	E	04.53:20
134	18	03/05	I	08.26:40
190	26	28/06	M	12.00.00
246	34	23/08	Q	15.33:20
302	42	18/10	U	19.06:40
358	50	13/12	Y	22.40:00

CALENDAR

FORMAL INTRODUCTION

CLICK : TO RETURN TO TOPICS

SUNDAY =0.
example>
sunday 31/05/2076.

MONDAY =1.
example>
monday 01/06/2076.

TUE(SDAY) =2
WED =3
THU =4
FRI =5
SAT =6
SUNDAY =7 & SUNDAY =0 !

The largest part of a year:
Part II: [1/3][2/3][3/3][4/3],......,[29/12][30/12][31/12].
03/06 = [31/05] + 3 days =
03/06 = [31/05] + (3).

example>
a).

03/06 = [31/05] + (3).
03/06 = (SUN) + (3).
03/06 = (0) + (3) = (3) = WED.

example>
b)

07/06 =[31/05] + (7).
07/06 = (SUN) + (7).
07/06 = (0) + (7) = (7) = SUN.

[14/06] =[07/06] + (7) =[07/06] + (0) =[07/06].
[01/03] =[08/03]=........ =[07/06]=[14/06] =....... =[27/12] These are the dates of departure of part-II.

Dates of part-I:
Part-I: [1/1][2/1][3/1][4/1],......, [ [1/3] -(1) ].
Two possibilities:
If leap year:
Last date of part-I =[ [1/3] -(1) ] =[29/02].
[04/01] =[11/01]=........ =[01/02]=[08/02] =....... =[29/02] These are the particular dates of part-I of a leap year.

example>

[31/05/2076] =(SUN).
[29/02/2076] =(?).
From part-II: [01/03]=[31/05]=(0)=(7).
To part-I: [29/02] = [ [1/3] -(1) ] - (1) =(7) - (1) =(6) =SAT = [I-2076].

example>
No leap year.
[31/05/2093] =(SUN).
[22/02/2093] =(?).
From part-II: [01/03]=[31/05]=(0)=(7).
To part-I: [22/02] =[01/03] - (7)= [01/03] =(SUN).
[I-2093] =[II-2093] =(SUN).

5.
Year of the 21st century.
Year =yy + 2000.
yy is a choice from : 1,2,...,98, 99.
[31/05]= II-{yy}.
[22/02]= I-{yy}.

example>
[31/05/2016] =(?).
2016 = yy + 2000.
yy =16.
[31/05]=II-{16}.
See Table of Years: II-{16} =2.
[31/05/2016] =(2).

Centuries of Gregorian calendar.
Century cc.
cc>14; first day 15/10/1582.
Year = yy + cc*100.
[31/05/'93] = <cc>.
Because :[31/05] + II-{93} + <cc> = (0) + (0) + <cc> =<cc>.
[31/05/'93] = <cc>.
[31/05/'93] = <20>.
See Table of Centuries: <20> =(7).

example>
[31/05/1993] =(?).
[31/05/1993] =<19>.
Because :[31/05] + II-{93} + <cc> = (0) + (0) + <cc> =<cc>.
[31/05/1993] = <19> =(1) =MON.

CLICK : TO RETURN TO TOPICS

Rainbow Metaphors

Under perpetual (re)construction....

THE CYCLE GOES ON...

CLICK : TO RETURN TO TOPICS

In the 7 number system of counting we can make use of the fist position to locate the day of the week.

The decimal number '10' is expressed in the 7 number system as '13' ( 1 week - 3 days ) .

So day 10 is another wednesday.

PERPETUAL

Under perpetual (re)construction...

RAINBOW

CALENDAR