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The Gregg Unit of Time

Defintion: 1 Gregg = A period of 400 years in the Gregorian Calendar, equaling 146,097 days.

Day Span               Number of Years Century            Decade          Another Day 
                                                                          Begin Time   Greggs Numbers and Units
---------------------- --------------- ------------------ --------------- -----------  ------ ------------------------------------------------------------
146,097        days in 400       years 4        centuries 40      decades 00:00:00     1      1,000,000      microgregs  = 1,000  milligregs = 1     gregg
109,672.75     days in 300       years 3        centuries 30      decades 18:00:00     3/4      750,000      microgregs  =   750  milligregs = 0.75  gregg
 48,699        days in 266 2/3   years 2 2/3    centuries 26 2/3  decades 00:00:00     2/3      666,666 2/3  microgregs
 73,048.5      days in 200       years 2        centuries 20      decades 12:00:00     1/2      500,000      microgregs  =   500  milligregs = 0.5   gregg
 48,699        days in 133 1/3   years 1 1/3    centuries 13 1/3  decades 00:00:00     1/3      333,333 1/3  microgregs
 36,524.25     days in 100       years 1        century   10      decades 06:00:00     1/4      250,000      microgregs  =   250  milligregs = 0.25  gregg
 29,219.4      days in  80       years 4/5      century   8       decades 09:36:00     1/5      200,000      microgregs  =   200  milligregs = 0.2   gregg
 27,393.1875   days in  75       years 3/4      century   7 1/2   decades 04:30:00     3/16     187,500      microgregs
 24,349.5      days in  66 2/3   years 2/3      century   6 2/3   decades 12:00:00     1/6      166,666 2/3  microgregs
 21,914.55     days in  60       years 3/5      century   6       decades 13:12:00     3/20     150,000      microgregs  =   150  milligregs = 0.15  gregg
 20,871        days in  57 1/7   years 4/7      century   5 5/7   decades 00:00:00     1/7      142,857 1/7  microgregs
 18,262.125    days in  50       years 1/2      century   5       decades 03:00:00     1/8      125,000      microgregs  =   125  milligregs = 0.125 gregg
 16,233        days in  44 4/9   years 4/9      century   4 4/9   decades 00:00:00     1/9      111,111 1/9  microgregs
 14,609.7      days in  40       years 2/5      century   4       decades 16:48:00     1/10     100,000      microgregs  =   100  milligregs = 0.1   gregg
 12,174.75     days in  33 1/3   years 1/3      century   3 1/3   decades 18:00:00     1/12      83,333 1/3  microgregs
  9,131.0625   days in  25       years 1/4      century   2 1/2   decades 01:30:00     1/16      62,500      microgregs
  8,116.5      days in  22 2/9   years 2/9      century   2 2/9   decades 12:00:00     1/18      55,555 5/9  microgregs
  7,304.85     days in  20       years 1/5      century   2       decades 20:24:00     1/20      50,000      microgregs  =    50  milligregs = 0.05  gregg
  6,957        days in  19 1/21  years 4/21     century   1 19/21 decades 00:00:00     1/21      47,619 1/21 microgregs
  6,087.375    days in  16 2/3   years 1/6      century   1 2/3   decades 09:00:00     1/24      41,666 2/3  microgregs
  4,869.9      days in  13 1/3   years 2/15     century   1 1/3   decades 21:36:00     1/30      33,333 1/3  microgregs
  4,565.53125  days in  12 1/2   years 1/8      century   1 1/4   decades 12:45:00     1/32      31,250      microgregs
  4,058.25     days in  11 1/9   years 1/9      century   1 1/9   decades 06:00:00     1/36      27,777 7/9  microgregs
  3,652.425    days in  10       years 1/10     century   1        decade 10:12:00     1/40      25,000      microgregs  =    25  milligregs = 0.025 gregg
  3,043.6875   days in   8 1/3   years 1/12     century   5/6      decade 16:30:00     1/48      20,833 1/3  microgregs
  2,921.94     days in   8       years 2/25     century   4/5      decade 22:33:36     1/50      20,000      microgregs  =    20  milligregs = 0.02  gregg
  2,434.95     days in   6 2/3   years 1/15     century   2/3      decade 22:48:00     1/60      16,666 2/3  microgregs
  2,282.765625 days in   6 1/4   years 1/16     century   5/8      decade 18:22:30     1/64      15,625      microgregs
  2,191.455    days in   6       years 3/50     century   3/5      decade 10:55:12     3/200     15,000      microgregs  =    15  milligregs = 0.015 gregg
  2,029.125    days in   5 5/9   years 1/18     century   5/9      decade 03:00:00     1/72      13,888 8/9  microgregs
  1,826.2125   days in   5       years 1/20     century   1/2      decade 05:06:00     1/80      12,500      microgregs
  1,521.84375  days in   4 1/6   years 1/24     century   5/12     decade 20:15:00     1/96      10,416 2/3  microgregs
  1,460.97     days in   4       years 1/25     century   2/5      decade 23:16:48     1/100     10,000      microgregs  =    10  milligregs = 0.01  gregg
  1,217.475    days in   3 1/3   years 1/30     century   1/3      decade 11:24:00     1/120      8,333 1/3  microgregs
  1,014.5625   days in   2 7/9   years 1/36     century   5/18     decade 13:30:00     1/144      6,944 4/9  microgregs
    913.10625  days in   2 1/2   years 1/40     century   1/4      decade 02:33:00     1/160      6,250      microgregs
    730.485    days in   2       years 1/50     century   1/5      decade 11:38:24     1/200      5,000      microgregs  =    5   milligregs = 0.005 gregg
    608.7375   days in   1 2/3   years 1/60     century   1/6      decade 17:42:00     1/240      4,166 2/3  microgregs
    507.28125  days in   1 7/18  years 1/72     century   5/36     decade 06:45:00     1/288      3,472 2/9  microgregs
    486.99     days in   1 1/3   years 1/75     century   2/15     decade 23:45:36     1/300      3,333 1/3  microgregs
    456.553125 days in   1 1/4   years 1/80     century   1/8      decade 13:16:30     1/320      3,125      microgregs
    405.825    days in   1 1/9   years 1/90     century   1/9      decade 19:48:00     1/360      2,777 7/9  microgregs
    365.2425   days in   1       year  1/100    century   1/10     decade 05:49:12     1/400      2,500      microgregs =     2.5 milligregs
    182.62125  days in     1/2   year  1/200    century   1/20     decade 14:54:36     1/800      1,250      microgregs
    146.097    days in     2/5   year  1/250    century   1/25     decade 02:19:40.8   1/1,000    1,000      microgregs =     1   milligreg  = 0.001 gregg
    121.7475   days in     1/3   year  1/300    century   1/30     decade 17:56:24     1/1,200      833 1/3  microgregs
     91.310625 days in     1/4   year  1/400    century   1/40     decade 07:27:18     1/1,600      625      microgregs
     73.0485   days in     1/5   year  1/500    century   1/50     decade 01:09:50.4   1/2,000      500      microgregs
     14.6097   days in     1/25  year  1/2,500  century   1/250    decade 14:37:58.08  1/10,000     100      microgregs
      1.46097  days in     1/250 year  1/25,000 century   1/2,500  decade 11:03:47.808 1/100,000     10      microgregs
      1.       day                                                                                 ≈ 6.84477 microgregs approx (24 hour period)
               or 6.8447675174712690883454143480016701232742629896575562811009124075100789201694764437325886226274324592565213522522707516239210935200585912099495540633962367468188942962552276911914686817662238102082863
      0.146097 day  in   1/2,500 year 1/250,000 century   1/25,000 decade 03:30:22.7808       1/1,000,000    1      microgreg (or 1/1,000,000 of a Gregg unit) or 1,000 nanogregs
     0.0146097 day  in   1/25k   year 1/2.5M    century   1/250k   decade 00:21:02.27808      1/10M        100      nanogregs (or 1/10,000,000 of a Gregg unit)
    0.00146097 day  in   1/250k  year 1/25M     century   1/2.5M   decade 00:02:06.227808     1/100M        10      nanogregs (or 1/100,000,000 of a Gregg unit)
   0.000146097 day  in   1/2.5M  year 1/250M    century   1/25M    decade 00:00:12.6227808    1/1B           1      nanogreg  (or 1/1,000,000,000 of a Gregg unit) or 1,000 picogregs
   1.46097-E05 day  in   1/25M   year 1/2,500M  century   1/250M   decade 00:00:01.26227808   1/10B000M    100      picogregs (or 1/10,000,000,000 of a Gregg unit)
   1.46097-E06 day  in   1/250M  year 1/25B     century   1/2.5B   decade 00:00:00.126227808  1/100B        10      picogregs (or 1/100,000,000,000 of a Gregg unit)
   1.46097-E07 day  in   1/2.5B  year 1/250B    century   1/25B    decade 00:00:00.0126227808 1/1T           1      picogregs (or 1/1,000,000,000,000 of a Gregg unit)

The Herschelgreg: The Herschel Gregorian Calendar Year Unit of Time

Gregorian Calendar Year: 1 Gregg = 146,097 days per 400 years
Herschel Gregorian Calendar Year: 1 Herschelgreg = 1,460,969 days per 4,000 years
1 Herchelgreg = 9.999993155232483 Gregorian Years!

Length in Days

Gregorian Calendar Year: 365.2425 days
Herschel Gregorian Calendar Year (making every multiple of 4,000 a common year): 365.24225 days

Increasing The Prescision

While the Gregorian calendar is accurate to within one day every 3,300 years, Herschel's modification would have increased this precision.

Calculations for the Modified Gregorian calendar errors show that the Modified Gregorian calendar has an error of one day in 12,500 years.

Worksheet

146097 days = 400 years
Find LCM between 3300 and 4000
3300 x 40 = 132000
400 x 330 = 132000

48,212,010 days in 132,000 years Gregorian as it is. Average: 365.2425

48,211,970 days in 132,000 years Modified Gregorian with one day in January removed every 3,300 years to become commmon years. Average: 365.242196969697

365.242219 x 132,000 = 48,211,969.08

Mean tropical year: (Laskar's expression) on 2000: 365.2421896698

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