Dear Calendar People I thought of mentioning the 103year cycle of 25 leap days again, because the number of days (37620) it has a large number of divisors, so is ideal for a variety of calendars where the number of days in a month or week does not vary, but the number of months or weeks in a year does vary. 37620 = (2^2) * (3^2) * 5 * 11 * 19 leading to the following calendars (amongst others): 103 years normally of 73 fiveday weeks, but with five long years of 74 weeks. The intervals between the long years could be 21,20,21,20,21.
103 years normally of 61 sixday weeks, but with 13 short years of 60 weeks. The short years would occur once every 8 years except one that occurs after 7 years.
103 years consisting of 43 short years of 40 nineday weeks and 60 long years of 41 weeks. 103 years consisting of 54 long years of 37 tenday weeks and 49 short years of 36 tenday weeks. There could be five periods of 21 or 19 years in which the two types of year alternate. Only one such period would have 19 years and the other four would have 21 years.
103 years normally of 33 elevenday week, but with 21 long years of 34 weeks. The long years would normally occur once every five years. 103 years normally of 20 eighteenday months, but with 30 long years of 21 months. 103 years normally of 19 nineteenday months, but with 23 long years of 20 months 103 years normally of 18 twentyday months, but with 27 long years of 19 months. 103 years normally of 12 thirtyday months, but with 18 long years of 13 months.
103 years normally of 11 thirtythreeday months, but with 7 long years of 12 months. 103 years normally of 10 thirtysixday months, but with 15 long years of 11 months. The main drawback is the rather long mean year of about 365.242718 days. It would be interesting to run several of these calendar concurrently, Also if a lunisolar calendar were to have a basic year of 354 days to which is occasionally added a leap month of 30 days, then the addition of 20 leap days every 103 year would make the calendar very accurate, provided the leap months occur at an accurate rate. Karl 10(05(10
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Hi Karl
may I call this the Hare&Hedgehog Calendar? ServusÂ ;=)) Sepp Am 04.02.2009 um 14:37 schrieb Palmen, KEV (Karl):

In reply to this post by Karl Palmen  UKRI STFC
What have hitherto been called solar months have been twelfths of a solar year. I don't know if a "solar yerm" and a "natural solar yerm" have been defined but it can't be other than;
N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 N = 1 / ( [ 732 / Y ]  2 ) a period of about 241 days. Anyway, I found the pattern of the alternating 8th solar month 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 (  ) and the intervention after 103 months. 
Dear Helios, Victor and Calendar People I believe I have some time ago worked out the yermlike
periods for solar months of 1/12 of a tropical year. These solar yerms would have
oddnumbered months of 30 days and evennumber months of 31 days. A solar calendar cycle would have two solar yerms per
common year. Therefore four Julian years have 6 solar yerms. They'd could alternate
between seven and nine months. The sevenmonth solar yerm has 213 days and the ninemonth
solar yerm has 274 days. While a Julian calendar mean year can be produced with alternating
solar yerms of seven and nine months, a more accurate solar calendar would
require a more sevenmonth yerms than ninemonth yerms. The 33year cycle would
have 50 solar yerms, which can be made of 27 sevenmonth solar yerms and 23
ninemonth solar yerms. Therefore a solar calendar cycle of C years with L leap
years, would have an excess E of sevenmonth solar yerms over ninemonth yerms
given by E = 4*(C  4*L) The number of sevenmonth solar yerms is (CL) + 2*(C 
4*L) = 3*C  9*L and the number of ninemonth solar yerms is (CL)  2*(C
 4*L) = 7*L  C This gives rise to the following solaryerm mixes: Years Leap 7month 9month Mean Solar
Yerm Mean Year 4
1 3 3
243.5 days exactly 365.25 days exactly 33
8 27 23
241.06 days exactly 365.242424 days 62 15 51
43 240.904 days 365.241935
days 95 23 78
66 240.958 days
365.242105 days 128 31 105
89 240.984 days
365.2421875 days exactly 161 39 132
112 241 days exactly
365.242236 days 293 71 240
204 241.027 days
365.242321 days 400 97
327 279 241.084
days 365.2425 days
exactly 103 25 84
72 241.154 days
365.242718 days I note that the 103year cycle breaks into twelve equal
parts of 103 months grouped into 7 sevenmonth solar yerms and 6 ninemonth solar
yerms. These 13 solar yerms can be rearranged into one yerm of seven months
followed by 12 yerms alternating between fifteen months and one month to produce
the months that Helios has listed. I have also found some lunisolar cycles, where the number
of yerms in the equivalent lunar calendar is equal to the number of common
years in the equivalent leap day solar calendar. Therefore the number of solar
yerms is exactly twice the number of lunar yerms. I’ve listed some of
these cycle at http://www.thelight.com/cal/LunisolarEF.html
of http://www.thelight.com/cal/kp_Lunisolar_xls.html
. Karl 10(06(14 PS: I don’t understand Helios’s equations,
because he has not defined the variables N, Y and W. Original Message What have hitherto been called solar months have been
twelfths of a solar year. I don't know if a "solar yerm" and a
"natural solar yerm" has been defined but it can't be other than; N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 N = 1 / ( [ 732 / Y ]  2 ) a period of about 241 days. Anyway, I found the pattern
of the altermating 8th solar month 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 (  ) and the intervention after 103 months.  View this message in context:
http://www.nabble.com/103yearCycletp21830699p22428348.html Sent from the CalndrL mailing list archive at
Nabble.com.
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In reply to this post by Helios
Dear Helios,
You state that the period is about 241 days, and then you show several periods none of which have 241 days. I see 243, 244, and 213 days, which average to just over 241 days. The mean year is about 365.2427 days. Victor On 3/10/09, Helios <[hidden email]> wrote: > What have hitherto been called solar months have been twelfths of a solar > year. I don't know if a "solar yerm" and a "natural solar yerm" has been > defined but it can't be other than; > > N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 > > N = 1 / ( [ 732 / Y ]  2 ) > > a period of about 241 days. Anyway, I found the pattern of the altermating > 8th solar month > > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 (  ) > > and the intervention after 103 months. > >  > View this message in context: http://www.nabble.com/103yearCycletp21830699p22428348.html > Sent from the CalndrL mailing list archive at Nabble.com. > > 
Dear Victor and Helios
An mean solar yerm of exactly 241 days can be obtained with (1) 13 solar yerms of 103 months = 3135 days (mean solar yerm 241.1538 days) 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 (2) 11 solar yerms of 87 months = 2648 days (mean solar yerm 240.7272 days) 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 (3) 13 solar yerms of 103 months = 3135 days 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 (4) 11 solar yerms of 87 months = 2648 days 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 (5) 13 solar yerms of 103 months = 3135 days 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 This yerm of yerms of solar yerms forms one quarter of a 161year cycle of 39 leap days, which is familiar to Victor. (3135+2648+3135+2648+3135)/(13+11+13+11+13) = 241 and so the mean solar yerm is exactly 241 days. Karl 10(06(14 Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Victor Engel Sent: 10 March 2009 15:31 To: [hidden email] Subject: Re: The Altermating 8th Month Dear Helios, You state that the period is about 241 days, and then you show several periods none of which have 241 days. I see 243, 244, and 213 days, which average to just over 241 days. The mean year is about 365.2427 days. Victor On 3/10/09, Helios <[hidden email]> wrote: > What have hitherto been called solar months have been twelfths of a solar > year. I don't know if a "solar yerm" and a "natural solar yerm" has been > defined but it can't be other than; > > N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 > > N = 1 / ( [ 732 / Y ]  2 ) > > a period of about 241 days. Anyway, I found the pattern of the altermating > 8th solar month > > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 ( 30 ) > 30 31 30 31 30 31 30 ( 31 ) > 30 31 30 31 30 31 30 (  ) > > and the intervention after 103 months. > >  > View this message in context: > Sent from the CalndrL mailing list archive at Nabble.com. > >  Scanned by iCritical. 
In reply to this post by Helios
Dear Calendar People
The 103month period that Helios has discovered can have its months arranged as a yerm of 13 solar yerms alternating between seven and nine months 103 = 7+9+7+9+7+9+7+9+7+9+7+9+7. It has 3135 days. This alone creates a 103year cycle of 25 leap days. A more accurate cycle would require this being mixed with a shorter yerm of 11 solar yerms equal to 87 months 87 = 7+9+7+9+7+9+7+9+7+9+7. It has 2648 days. The 33year cycle has three 103month yerms of yerms and one 87month yerm of solar yerms (33*12 = 103+103+103+87). The 29year cycle has four 87month yerms of solar yerms (29*12 = 4*87). This leads to the following mixture of these yerms of solar yerms: 33year cycle: 3 long 1 short 62year cycle: 3 long 5 short 95year cycle: 6 long 6 short (1:1 mix, alternating) 128year cycle: 9 long 7 short 161year cycle: 12 long 8 short (3:2 mix, mean solar yerm 241 days) 293year cycle: 24 long 12 short (2:1 mix) 400year cycle: 39 long 9 short (13:3 mix) 103year cycle: 12 long 0 short (pure long) Karl 10(06(14 Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Helios Sent: 10 March 2009 05:29 To: [hidden email] Subject: The Altermating 8th Month What have hitherto been called solar months have been twelfths of a solar year. I don't know if a "solar yerm" and a "natural solar yerm" has been defined but it can't be other than; N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 N = 1 / ( [ 732 / Y ]  2 ) a period of about 241 days. Anyway, I found the pattern of the altermating 8th solar month 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 (  ) and the intervention after 103 months.  View this message in context: http://www.nabble.com/103yearCycletp21830699p22428348.html Sent from the CalndrL mailing list archive at Nabble.com.  Scanned by iCritical. 
In reply to this post by Helios
Dear Helios and Calendar People
Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Helios Sent: 10 March 2009 05:29 To: [hidden email] Subject: The Altermating 8th Month What have hitherto been called solar months have been twelfths of a solar year. I don't know if a "solar yerm" and a "natural solar yerm" has been defined but it can't be other than; N = 1 / ( [ 61 / W ]  2 ), W = Y / 12 N = 1 / ( [ 732 / Y ]  2 ) a period of about 241 days. Anyway, I found the pattern of the altermating 8th solar month 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 ( 30 ) 30 31 30 31 30 31 30 ( 31 ) 30 31 30 31 30 31 30 (  ) and the intervention after 103 months. KARL SAYS: Rearranging the months as shown next makes it into a Helios cycle: 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 30 31 30 31 30 31 30 31 30 30 31 30 31 30 31 30 This is a Helios cycle because it is a yerm of yerms. Therefore month M has 31 days if and only if (45*M + 51) mod (103) < 45 The same applies to the Yerm of yerm of yerms, that produces a quarter of a 161year cycle and has a mean yerm of exactly 241 days. Therefore month M has 31 days if and only if (211*M + 241) mod (483) < 211 Karl 10(06(14  Scanned by iCritical. 
In reply to this post by Helios
Dear Helios and Calendar People
Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Helios Sent: 10 March 2009 05:29 To: [hidden email] Subject: The Altermating 8th Month What have hitherto been called solar months have been twelfths of a solar year. I don't know if a "solar yerm" and a "natural solar yerm" has been defined KARL SAYS: I sent a note to this list in 2007 shown next:   Dear Helios and Calendar People Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]]On Behalf Of Helios Sent: 25 January 2007 14:04 To: [hidden email] Subject: Re: Division of Year by Alternating Terms I think it's worth mentioning that the 2122 day alternating sequencing admits to it's own "yermlike" definitions. We have a "natural solar yerm". It's the time it takes for the mean term to fall half a day AHEAD of the 21.5 day cycle. It is 1/(43  2t) mean terms or t/(43 2t) days, where t is the mean term in days. The result is 32.993769 terms or 708.86604 days. Some "solar yerms" look like 31 terms = 666 days 33 terms = 709 days 35 terms = 752 days It seems that the useful solar period of years are composed of "solar yerms". ie, 1461 = 709 + 752 146097 = 205 ( 709 ) + 752 12053 = 17 ( 709 ) 34698 = 48 ( 709 ) + 666 46751 = 65 ( 709 ) + 666 227546 = 320 ( 709 ) + 666 I think the name "solar yerm" should be replaced with a new and less confusing name. KARL SAYS: Agreed. A solar yerm could be taken as a period of seven or nine solar months that alternate between 30 and 31 days beginning and ending with a 30day month. A Julian 4year cycle can be constructed from six solar yerms alternating between seven and nine months making up 48 solar months. 30 31 30 31 30 31 30; 30 31 30 31 30 31 30 31 30; 30 31 30 31 30 31 30; 30 31 30 31 30 31 30 31 30; 30 31 30 31 30 31 30; 30 31 30 31 30 31 30 31 30; A more accurate cycle can be made by increasing the proportion of 7month solar yerms. So forming superyerms that alternate between solar yerms of seven and nine months beginning and sending with a sevenmonth solar yerm. A sevenmonth solar yerm has 213 days, while a ninemonth solar yerm has 274 days. So: 3*213 + 3*274 = 1461 4 years 6*213 + 2*274 = 1826 5 years The 1826 days are equivalent to five years with one leap day. Any solar calendar cycle can be made by mixing this with a larger number of 4year cycles. So we get 27*213 + 23*274 = 12053: 33 years 105*213 + 89*274 = 46751: 128 years 327*213 + 279*274 = 146097: 400 years The difference between the number of sevenmonth solar yerms and ninemonth solar yerms is the number of superyerms needed. Each superyerm can have either 11 or 13 solar yerms. The 33year cycle has four superyerms (of 99 months average length) three of 13 solar yerms and one of 11 solar yerms. The 128year cycle has 16 superyerms (of 8 years average length) 9 of 13 solar yerms and 7 of 11 solar yerms. The 400year cycle has 48 superyerms (of 100 months average length) 39 of 13 solar yerms and 9 of 11 solar yerms. A 13solaryerm superyerm has 103 months of 3135 days and a 11solaryerm superyerm has 87 months of 2648 days. Finally 78*213 + 66*274 = 34698: 95 years This 95year cycle has 12 superyerms (of 95 months average length) which alternate between 11 and 13 solar yerms. Karl 08(12(07   Karl 10(06(14 till noon  Scanned by iCritical. 
Yes, along these lines, I used the formula ( with Y = mean year )
mean termyerm = 1 / [ ( 731 / Y )  2 ] and set this to exactly 24 months. After what mean year could be suitable, I found a 5963 year cycle, but solar months are superior to terms in the realm of this 5963 year cycle. The real cycle is just under half a millenium.  = 376 yerms = 753 solar yerms = 5963 solar months = 6146 months = 181495 days  Composition: 123 15month lunar yerms 253 17month lunar yerms 346 ninemonth solar yerms 407 sevenmonth solar yerms  A Solar Month Count could start just as if an imaginary celestial body, the ghost moon, were reaching conjunction along with the 0th moon of the Brown Lunation Count. Solar Month Count Zero = JD 2423407.44655 = Brown Lunation Zero with the months, now solar and lunar Solar Month Count K & days ( 1  31 ) Brown Lunation L & days ( 1  30 ) 
Dear Helios and Calendar People
The formula for the mean solar yerm is very similar to that for a mean term yerm: mean termyerm = 1 / [ ( 732 / Y )  2 ] It's the same but with 732 instead of 731. A term is a period of 21 or 22 days arranged into term yerms so that an oddnumber term has 21 days and an evennumber term has 22 days. There are also exactly 17 terms to a year. If all term yerms were to have 33 terms, then a 33year cycle of 8 leap years would result from 17 term yerms. All these term yerms would have 709 days. 24 lunar months have about 708.734 days, so it is tempting to put in a few shorter 31term term yerms to make the mean termyerm equal to 24 months, but I don't see any benefit in this. Karl 10(06(15 Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Helios Sent: 11 March 2009 12:31 To: [hidden email] Subject: Solar Month Count Yes, along these lines, I used the formula ( with Y = mean year ) mean termyerm = 1 / [ ( 731 / Y )  2 ] and set this to exactly 24 months.  Scanned by iCritical. 
But there are 12 solar months in a solar year! The solar year is about
365.242199 days, divide that by 12, that equals 30.4368499. That's the average number of days in a solar month. However, speaking of solar calendars, let's review the symmetry010. They have 30 + 31 + 30 = 91 days in a quarter, that equals 364 days in a nonleap year. I will add an extra day at the end of the December, making the last day of the year, December 31 (That won't affect Christmas, in which it retains on December 25). That will make it 365 days For leap years, it will be either at January 31 or March 31. Under the proposed calendar system, running on the Gregorian leap year system, today is 2009.03.10We (compared to the Gregorian date of 2009.03.11We)  From: "Palmen, KEV (Karl)" <[hidden email]> Sent: Wednesday, March 11, 2009 11:10 AM To: <[hidden email]> Subject: Re: Solar Month Count > Dear Helios and Calendar People > > The formula for the mean solar yerm is very similar to that for a mean > term yerm: > > mean termyerm = 1 / [ ( 732 / Y )  2 ] > > It's the same but with 732 instead of 731. > > > A term is a period of 21 or 22 days arranged into term yerms so that an > oddnumber term has 21 days and an evennumber term has 22 days. There > are also exactly 17 terms to a year. If all term yerms were to have 33 > terms, then a 33year cycle of 8 leap years would result from 17 term > yerms. All these term yerms would have 709 days. > > 24 lunar months have about 708.734 days, so it is tempting to put in a > few shorter 31term term yerms to make the mean termyerm equal to 24 > months, but I don't see any benefit in this. > > Karl > > 10(06(15 > > Original Message > From: East Carolina University Calendar discussion List > [mailto:[hidden email]] On Behalf Of Helios > Sent: 11 March 2009 12:31 > To: [hidden email] > Subject: Solar Month Count > > Yes, along these lines, I used the formula ( with Y = mean year ) > > mean termyerm = 1 / [ ( 731 / Y )  2 ] > > and set this to exactly 24 months. > >  > Scanned by iCritical. > > 
On 2009.03.11, at 12:40 , ELITE 3000 wrote:
Irv replies: By converting a leap week calendar into a leap day calendar you wipe out the most important attribute of the calendar, it will no longer be a perpetual calendar, always starting each year on the same weekday, unless the added day is a "null" day outside of the traditional 7day weekly cycle, which will be subject to insurmountable religious objections. One can propose all manner of calendar reforms to improve upon the Gregorian calendar, but the only one that really really matters is to end up with a perpetual calendar that preserves the traditional 7day weekly cycle. Other enhancements such as symmetrical structure of quarters, a symmetrical smoothly spread sequence of leap years with a shorter mean year, every day of every month always on the same weekday, etc. are nice enhancements to carry out "while we're at it" in the scheme of calendar reform, because introducing such enhancements will not make the reform any more difficult to implement than a reform limited to just the primary objective of making the calendar perpetual. 
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