e. g.    2022 1st quarter 2nd quarter 3rd quarter 4th quarter    CALENDAR 717 practical looks  
  CALENDAR,717
 
  weekends    a long year I II III IV V VI VII VIII IX X XI XII    weeks     months    
    short long   Sunday 1 1 1 1 1 1 1 1 1 1 1 1                      
          Monday 2 2 2 2 2 2 2 2 2 2 2 2                      
          Tuesday 3 3 3 3 3 3 3 3 3 3 3 3                      
          Wednesday 4 4 4 4 4 4 4 4 4 4 4 4                      
          Thursday 5 5 5 5 5 5 5 5 5 5 5 5                      
          Friday 6 6 6 6 6 6 6 6 6 6 6 6                      
      long    Saturday 7 7 7 7 7 7 7 7 7 7 7 7                      
      Sunweek 8 8 8 8 8 8 8 8 8 8 8 8       1st long              
      Sunday 9 9 9 9 9 9 9 9 9 9 9 9                  
      Monday 10 10 10 10 10 10 10 10 10 10 10 10                  
            Tuesday 11 11 11 11 11 11 11 11 11 11 11 11                  
            Wednesday 12 12 12 12 12 12 12 12 12 12 12 12                  
            Thursday 13 13 13 13 13 13 13 13 13 13 13 13                  
                        Friday 14 14 14 14 14 14 14 14 14 14 14 14                  
       short      Saturday 15 15 15 15 15 15 15 15 15 15 15 15   2nd short              
        Sunday 16 16 16 16 16 16 16 16 16 16 16 16                      
                Monday 17 17 17 17 17 17 17 17 17 17 17 17                      
  the calendar reform proposal = regularity into an irregularity           Tuesday 18 18 18 18 18 18 18 18 18 18 18 18                      
            Wednesday 19 19 19 19 19 19 19 19 19 19 19 19                      
                Thursday 20 20 20 20 20 20 20 20 20 20 20 20                      
     CALENDAR  717 practical looks        Friday 21 21 21 21 21 21 21 21 21 21 21 21                      
     a leap rule quarters and seasons    long    Saturday 22 22 22 22 22 22 22 22 22 22 22 22                      
     a definition advantages        Sunweek 23 23 23 23 23 23 23 23 23 23 23 23       3rd long             
      disadvantages      Sunday 24 24 24 24 24 24 24 24 24 24 24 24                      
                Monday 25 25 25 25 25 25 25 25 25 25 25 25                      
      number in a year  48 12 1       Tuesday 26 26 26 26 26 26 26 26 26 26 26 26                      
    TIME UNITS  a week a month a year       Wednesday 27 27 27 27 27 27 27 27 27 27 27 27                      
    a short length ( days )  7 30 365         Thursday 28 28 28 28 28 28 28 28 28 28 28 28                      
    a long   length ( days )  8 31 366         Friday 29 29 29 29 29 29 29 29 29 29 29 29                      
           short      Saturday 30 30 30 30 30 30 30 30 30 30 30 30   4th short     short       
   a leap rule = │( 1.1.; 12:00:00 UT ) - a winter solstice on the northern hemisphere│ < 12 hours     long    Sunmonth 31     31   31 31     31   31       4th long         long  
                                      1st variant     Sunyear     Sunleap        
   author : Josef   Vlk
 
          vlk@calendar717.org http://www.calendar717.org                      
   from    : Czech  Republic     http://personal.ecu.edu/mccartyr/calendar-reform.html   2nd variant a winter a spring a summer an autumn      
   date    : 14. 12. 2007           Copyright  ©  2007  Josef  Vlk   Sunmonth         31 31 31 31 31     31      
                         
  CALENDAR  717  a leap  rule             CALENDAR 717 quarters and seasons  
                                       
  input   ► a synchronization a winter solstice with the first day a year including a leap year        from      1.1.       1st variant a winter solstice  
  conditions             to  1.1.         
      ► establish 12 hours difference between a winter solstice and a noon 12:00:00 UT      from  1.1.       2nd variant  
                to  1.1.         
      ► a shifting the leap day from the 29th of February to the 31st of December      from    29.3.     1st variant a vernal equinox  
          to    29.3.       
  output   ► there is reached an 896 years cycle with 6x(31+97)+1x(32+96) leap and common years      from    30.3.     2nd variant  
  effects               to    30.3.       
      ► a leap rule in this proposal is comparable to the system 31 / 128 with 3 differences :      from      30.6.   1st variant a summer solstice  
                to      31.6.     
       + a vernal equinox is substituted by a winter solstice on the northern hemisphere      from      31.6.   2nd variant  
                  to      1.7.     
       + there is no requirement of any correction so as by regulary 31 / 128 system, because    from        2.10. 1st variant an autumnal equinox  
        putting a leap year in addition to an 896 years cycle will be executed automatically     to        3.10.   
                   from        1.10. 2nd variant  
       + a relative irregularity of this leap rule in the 128 years cycle compared to a regularity   to                    2.10.   
        of leap years in Gregorian calendar ( 97 leap years in 400 years cycle ) is less              
      than by 31 / 128 system with a leap day on the 29th of February, because anybody     1st variant   numbers of  workdays in quarters  are the same, not  in seasons;  this  variant has a society  character
      hardly knows that there is a leap year ( present practise ), but everybody will know         the differences among quarters and seasons are more than by the 2nd variant   disadvantage  
      that there is a long year ( teoretical presumption ) for the last day in each year         the differences between short and long lengths of quarters are always 1 day and 1 day only advantage  
        is known by far than a "banal"  day on the 29th of February                        
                  2nd variant   numbers of workdays in quarters and seasons are the same; this variant has an astronomical character
      ► there is no requirement of any approximation common and leap years compared to the other       the differences among quarters and seasons are less than by the 1st variant   advantage  
      systems which are built on the approximative principle         the differences between short and long lengths of quarters are up to 3 days including disadvantage  
                     
                                                                                                         
                                                                                                         
   CALENDAR  717  a definition                  CALENDAR  717  advantages  
               
  a) a second, a minute, an hour and a day stay without any changes including a correction second in UT   1st with using of a new week ( 7 or 8 days ) there is reached an absolute synchronization calendar days    
            in the year including a leap year with weekdays in a new week    
  b) a week, a month and a year are built on the same principle, absolutely without any exception ( see below )            
          2nd a divisibility of all time units longer than a new week including a leap year is reached by 2, 3 and 4,    
  c) a week, a month and a year have 2 variants of their lengths, so-called a short variant and a long variant     a year by a month and a month by a week, and then a year by a week too    
                   
  d) the differences between a short and a long variant of lengths of  these time units are always 1 day and 1 day only   3rd all time units aside 1/3 of a month have permanent number of workdays ( a year, 1/2 of a year, 1/3 of a year,  
            1/4 of a year, a month, 1/2 of a month and 1/4 of a month = a new week, and seasons by their 2nd variant too )
  e) different days of  these time units are placed on the same principle at the end of a long variant their lengths          
          4th there is no weekend longer than 3 days including a leap year ( an economical and a social point of view )  
  f) the number of a week and a month in longer time units are always constant and multiplied without any rest     whereas 2 or 3 daily lengths are approximately alternated ( by ratio cca 2:3 )    
                   
        WHAT in WHAT   a month 1/4 of a year 1/3 of a year 1/2 of a year a year   5th a design system of leap rule meets the condition that the differences among noons of the first days    
        a week   4   12   16   24   48     in years and winter solstices on the northern hemisphere would be always shorter than 12 hours
        a month   1   3   4   6   12      including a leap year without any correction and any approximation    
                   
  g) the number of calendar days in the given variants of these time units are always the same   6th there are kept up to now time units ( months and weekdays )    
                   
        CALENDAR DAYS   a week a month   a year   7th in practise a moving "a leap day" from the 29th of February to the 31st of  December in part eliminates    
        a short variant   7   30   365     a negative fallout of an increasing  "irregularity" of leap years ( advantage in disadvantage )    
        a long  variant   8   31   366            
          8th a new week like a quarter of a month though with its variable length has a fluency sequence - uninterrupted  
  h) the number of workdays is independent on a leap character of a year or a common one     character like an up to now weeks, months and years    
                       
        WORKDAYS       a week   a month a year   9th all time units aside 1/3 of a month begin on Sunday and end either on Saturday or on a different day     
        the number   5   20   240     at the end of a new week ( Sunweek / Sunmonth / Sunyear / Sunleap )    
                   
  i) the first   month in every quarter of a year is always long  ( 31 ) in the 1st variant only   10th a different day inserted into a new week has "smaller irregularity" than an inserting the added day ones    
    the second month in every quarter of a year is always short ( 30 ) in the 2nd variant it is otherwise      a year either between 2 successive weeks during a year or at turning point between 2 successive years  
    the third   month in every quarter of a year is always short ( 30 ) except June   in each  year          ( 31 )            
               and December in a long year only ( 31 )   11th a concominant synchronization a first day of the each year including a leap year with a winter solstice     
            approximates quarters of a calendar year to seasons ( 1st variant approximately, 2nd variant more exactly )  
  j) the first   week in a month is always long  ( 8 )       8  + 7 + 8 + ( 7 or 8 ) days in a month            
    the second week in a month is always short ( 7 )   12th easier an economical, a society and a social scheduling, and chronological calculations    
    the third   week in a month is always long  ( 8 )            
    the fourth week in a month is always short ( 7 ) in a short month and is always long ( 8 ) in a long month   13th there is no Friday on the 13th nor in a leap year    
                   
  k) every time unit always begins on Sunday and ends   in its short variant always on Saturday and   14th designed names of different days into a new week are in a harmony with a supporting English like    
          in its long   variant always on a different day     the worldwide communicative language    
    no time unit begins and ends on the workdays                  
                     CALENDAR  717  disadvantages  
  l) every year begins always on the  1st of January,      it is at the winter solstice ( see the leap rule )            
    every year ends always on the 30th of December in a short variant of its length and   1st a disturbance perennial six days distance between 2 successive sabbaths by 2 alternate lengths 7 and 8   
          always on the 31st of December in a long   variant of its length     days of the new week even if under a solid regulation    
    up to this time leap day is moved from the 29th of February to the 31st of December            
    the leap rule for each year = │ ( 1.1.; 12:00:00 UT ) - a winter solstice on the northern hemisphere │ < 12 hours   2nd a cut-down number of workdays in a year against to a topical reality in all states and other abatement by  
            state holidays and fetes in individual countries    
  m) Saturday is always seventh day in a week, in a month and in a year too, independent of  the variant of  their length      
    a distance between two successive sabbaths is always   6 days if a first week from these two weeks is short   3rd there is necessary adaptation of society on changes consequent after the calendar reform and its    
           and always   7 days if a first week from these two weeks is long     instalation into practise ( social, economical, religious and chronological )    
                   
  n) a different day can be called e. g. :   4th this proposal does not resolve a question of New Year's Eve in a leap and a common years, but it lets its  
            resolution on the worldwide convention    
        Sunweek at the end of a long week always   ( for the both variants )            
        or   5th a solar and a secular character of this proposal of a new calendar does not ensure its synchronization    
      Sunweek at the end of a long week  always, besides in the fourth week in a long month     with lunar cycles  [ a solar month = 8+7+8+(7 or 8) and a lunar month = 7+8+7+(8 or 7) calendar days ]     
      Sunmonth at the end of a long month always    ( for the both variants )            
        or   6th in case a synchronization the first day of each year with a winter solstice on the northern hemisphere    
      Sunweek at the end of a long week  always, besides in the fourth week in a long month     there will be generated a necessary delete  the calendar days like with changeover of a calendar in 1582  
      Sunmonth at the end of a long month always, besides in June and in December            
      Sunyear at the end of June         in every  year always   7th a condition standing of a mnemonic character of the names of  different days with names of weekdays will   
      Sunleap at the end of December in a long year only ( for the first variant only )   be various difficult in some languages