Why the number of days in a month?

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Discussion Overview

The discussion revolves around the structure of the Gregorian calendar, specifically the varying lengths of months and the rationale behind having 28 or 29 days in February. Participants explore historical, astronomical, and cultural factors influencing the calendar's design, as well as alternative calendar systems.

Discussion Character

  • Exploratory
  • Debate/contested
  • Historical
  • Conceptual clarification

Main Points Raised

  • Some participants question whether the month lengths are arbitrary or related to lunar cycles.
  • Others note that the Gregorian calendar is a refinement of the Julian calendar, with differences in leap day frequency.
  • A participant suggests that longer months compensate for shorter ones, while another counters that it is the opposite.
  • There are proposals for a calendar system with all months having 30 or 31 days, questioning the necessity of February's shorter length.
  • Some participants mention historical figures like Julius Caesar and John Dee in relation to calendar reforms and their implications.
  • Alternative calendar systems, such as one with 13 months of 28 days and additional special days, are proposed as simpler solutions.
  • Concerns are raised about the inaccuracies in the Gregorian calendar and potential future adjustments to Earth's rotation or orbit.
  • Historical resistance to the Gregorian calendar in Protestant countries, including England and the U.S., is discussed, along with the implications of religious authority on calendar acceptance.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the reasons behind the current structure of the calendar and the implications of its design. There is no consensus on the best approach to calendar reform or the historical motivations behind month lengths.

Contextual Notes

Some discussions involve assumptions about historical practices and cultural influences that are not fully explored. The debate includes unresolved questions about the accuracy of the calendar systems and the potential for future changes.

tgt
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In the calendar used by Westerners, why do some month have 30 days and some have 31 days. Was it arbitrary decided? Or has it got something to do with the moon?

I do know why Feburary usually has 28 days but every 4 years, it has 29 days. It is to account for the fact that the Earth needs 365 and a quarter days to spin a full turn around the sun. However, why choose Feburary to have that extra day every 4 years?
 
Mathematics news on Phys.org
http://en.wikipedia.org/wiki/Gregorian_calendar

I have not found anything specific so far but it looks as though the gregorian calendar is a more accurate reinvention of the julian calendar.

http://en.wikipedia.org/wiki/Julian_calendar

The only difference between the two seems to be the frequency of leap days. The Julian calendar is apparently a reform of the roman calendar by Caesar and kept the same (or approximately the same) scheme for month lengths.

http://en.wikipedia.org/wiki/Roman_calendar

Here they talk about the month lengths more in depth.
 
not too sure but I'm assuming that the longer months make up for the shorter ones, as i don't think it would be 100% the same every time (the moon revolves)
 
The Gregorian calendar is a botch in that the leap days are not spread as evenly as possible. If they were, then the spring equinox would tend to stay fixed to MAR 21. Instead it jitters all over.
Most protestant countries rejected it, as they rejected the authority of the church of Rome. England and U.S. were of the last hold-outs to resist this calendar. One should look at John Dee's ( 1527 - 1609 ) calendar refprm proposal. It would have been superior to the Gregorian calendar.

Stripe, the longer months do not make up for the shorter ones, it's the other way around.
 
Helios said:
The Gregorian calendar is a botch in that the leap days are not spread as evenly as possible. If they were, then the spring equinox would tend to stay fixed to MAR 21. Instead it jitters all over.
Most protestant countries rejected it, as they rejected the authority of the church of Rome. England and U.S. were of the last hold-outs to resist this calendar. One should look at John Dee's ( 1527 - 1609 ) calendar refprm proposal. It would have been superior to the Gregorian calendar.

Stripe, the longer months do not make up for the shorter ones, it's the other way around.

So they would like all month to have 31 days?

Why would Feburary only have 29 days max? Why not just delete a 31 day month to make it 30 and make Feb have either 29 or 30? Or even better delete two 31 day months and make Feb 30 or 31 days? This would make every month have either 30 or 31 days.
 
tgt said:
So they would like all month to have 31 days?

Why would Feburary only have 29 days max? Why not just delete a 31 day month to make it 30 and make Feb have either 29 or 30? Or even better delete two 31 day months and make Feb 30 or 31 days? This would make every month have either 30 or 31 days.

This is in part because of the leap days. Solar, lunar, and daily cycles do not match up exactly. So we have a lunar calander that was adjusted to more accurately reflect the yearly cycle and then reinvented to be a solar calander that had to be adjusted yet again when they were able to better measure the length of a year which according to the gregorian calander is "365.2425 days, or 365 days, 5 hours, 49 minutes and 12 seconds" and is still slightly off.
 
tgt said:
So they would like all month to have 31 days?

Why would Feburary only have 29 days max? Why not just delete a 31 day month to make it 30 and make Feb have either 29 or 30? Or even better delete two 31 day months and make Feb 30 or 31 days? This would make every month have either 30 or 31 days.

It's not "they", It's Julius Caesar. Take it up with him. He reformed an even elder calendar and likely had some predilictions that we don't know about.
 
TheStatutoryApe said:
the length of a year which according to the gregorian calander is "365.2425 days, or 365 days, 5 hours, 49 minutes and 12 seconds" and is still slightly off.
The Julian calendar used a figure of 365.25 as a result of which over the centuries, the holidays started to slip in the seasons. The Gregorian calendar used a figure of 365.2425 which as you say is slightly off. Herschel proposed a change to the calendar that would use a figure of 365.24225 days. Unless this proposal is implemented, the calendar will be off by about 1 day every 4000 years. If it is implemented, there will still be a discrepency. However, rather than make further adjustments to the calendar, it may be that the people of some future era will simply adjust the orbit and/or rotation of the Earth.
 
A simpler, less historically driven system would have 13 months of 28 days each. One additional *special* day each year would be new years (that's it, not monday, tuesday, etc., just "new years"), preferably on the winter solstice. Then on leap years, there would also be a special day "leap day" on the summer solstice. both days would be holidays.
 
  • #10
tgt said:
Why would Feburary only have 29 days max? Why not just delete a 31 day month to make it 30 and make Feb have either 29 or 30? Or even better delete two 31 day months and make Feb 30 or 31 days? This would make every month have either 30 or 31 days.

January and February were Julian additions from a block of non-month 'winter days'. Why they chose to split it as 31/28(29) rather than 30/29(30) was probably a superstitious choice to not spite the god Ianus. (The februatio festival was unlikely to take the same sort of retribution as a scorned god.)
 
  • #11
rolerbe said:
A simpler, less historically driven system would have 13 months of 28 days each. One additional *special* day each year would be new years (that's it, not monday, tuesday, etc., just "new years"), preferably on the winter solstice. Then on leap years, there would also be a special day "leap day" on the summer solstice. both days would be holidays.

Intercalary days have been a popular solution to uneven months and years. Personally, I prefer systems without them -- the regularity of "Monday always follows Sunday" and the like is more important to me than having the same number of days per month.
 
  • #12
rolerbe said:
A simpler, less historically driven system would have 13 months of 28 days each. One additional *special* day each year would be new years (that's it, not monday, tuesday, etc., just "new years"), preferably on the winter solstice. Then on leap years, there would also be a special day "leap day" on the summer solstice. both days would be holidays.
According to wiki
In England, a calendar of thirteen months of 28 days each, plus one extra day, known as "a year and a day" was still in use up to Tudor times. This would be a hybrid calendar that had substituted regular weeks of seven days for actual quarter-lunations, so that one month had exactly four weeks, regardless of the actual moon phase.
But I have never heard of it anywhere else.
 
  • #13
Helios said:
Most protestant countries rejected it, as they rejected the authority of the church of Rome.

jimmysnyder said:
However, rather than make further adjustments to the calendar, it may be that the people of some future era will simply adjust the orbit and/or rotation of the Earth.

Since religion comes into play, people would be more willing to change the rotation of the Earth than to accept others' calendar.
 
  • #14
Helios said:
England and U.S. were of the last hold-outs to resist this calendar.
England accepted it before the American colonies gained independence, so the US never really accepted it, they just inherited the British acceptence. It hadn't been accepted by Russia at the time that they sold Alaska to the US, so I suppose you could call that a holdout. I don't think it was ever accepted by the Russian Empire, but I'm not sure about that. I think it was the Kerensky govt. that did.
 
  • #15
mgb_phys said:
According to wiki

But I have never heard of it anywhere else.
Just when you think you've had an original thought...

jobyts said:
Since religion comes into play, people would be more willing to change the rotation of the Earth than to accept others' calendar.

and then there's religion. My favorite is a law passed in Arkansas or some other of those midwestern states way far from civilization (i.e. the east coast) where they decreed Pi to be 3.
 
  • #16
rolerbe said:
and then there's religion. My favorite is a law passed in Arkansas or some other of those midwestern states way far from civilization (i.e. the east coast) where they decreed Pi to be 3.

Indianna, it wasn't a religious thing it was just a spectacularly confused crank that managed to get in front of the legislature. Compared to some of the things that have resulted from spectacularly confused cranks getting in front of a legislature it was relatively harmless.

http://www.agecon.purdue.edu/crd/Localgov/Second Level pages/Indiana_Pi_Story.htm
 
  • #17
rolerbe said:
Just when you think you've had an original thought...



and then there's religion. My favorite is a law passed in Arkansas or some other of those midwestern states way far from civilization (i.e. the east coast) where they decreed Pi to be 3.

I'm not american but is not the west coast also considered a heart of "civilization" and liberalism?
 
  • #18
maverick_starstrider said:
I'm not american but is not the west coast also considered a heart of "civilization" and liberalism?
Not in 1897
 
  • #19
originally 29 and 30 days only

tgt said:
In the calendar used by Westerners, why do some month have 30 days and some have 31 days. Was it arbitrary decided? Or has it got something to do with the moon?

I do know why Feburary usually has 28 days but every 4 years, it has 29 days. It is to account for the fact that the Earth needs 365 and a quarter days to spin a full turn around the sun. However, why choose Feburary to have that extra day every 4 years?
tgt said:
So they would like all month to have 31 days?

Why would Feburary only have 29 days max? Why not just delete a 31 day month to make it 30 and make Feb have either 29 or 30? Or even better delete two 31 day months and make Feb 30 or 31 days? This would make every month have either 30 or 31 days.
CRGreathouse said:
January and February were Julian additions from a block of non-month 'winter days'. Why they chose to split it as 31/28(29) rather than 30/29(30) was probably a superstitious choice to not spite the god Ianus. (The februatio festival was unlikely to take the same sort of retribution as a scorned god.)

Originally, all the months (except February) had either 29 or 30 days, then Julius Caesar enlarged all the 29s to 30 or 31.

February stayed at 28.

That was from the table following http://en.wikipedia.org/wiki/Julian_calendar#Julian_reform
The Julian months were formed by adding ten days to a regular pre-Julian Roman year of 355 days, creating a regular Julian year of 365 days: Two extra days were added to Ianuarius,[1] Sextilis (Augustus) and December, and one extra day was added to Aprilis, Iunius, September and November, setting the lengths of the months to the values they still hold today:

mgb_phys said:
According to wiki
In England, a calendar of thirteen months of 28 days each, plus one extra day, known as "a year and a day" was still in use up to Tudor times. This would be a hybrid calendar that had substituted regular weeks of seven days for actual quarter-lunations, so that one month had exactly four weeks, regardless of the actual moon phase.

(This was from http://en.wikipedia.org/wiki/Lunar_calendar#Old_English_13-month_lunar_year)

That was an English lunar calendar: I think England had a normal solar calendar for most purposes.
 
  • #20


tiny-tim said:
But it wasn't really lunar, there are nearer 12 lunar months in a year, this was just a counting sets of 4 weeks.
That was an English lunar calendar: I think England had a normal solar calendar for most purposes.
Yes I'd never heard of it before.

It still applies sometimes, I remember as a student the difference between private landlords that charged rent per 'calendar month' and the university that charged per 4 weeks = nearly 10% difference in a year.
 
  • #21
mgb_phys said:
Not in 1897


Oh, I'd heard that anecdote about setting Pi to 3 before but I always assumed it was a modern thing.
 
  • #22
This is likely a very rare time or the only time that someone brings up calendars. So, I'll show the calendar I invented.
It's very simple. Days are arranged in groupings of 21 or 22 days called terms. Thirty-three terms are grouped together into an alternating sequence of 709 days as shown below.

21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21 22 21

This basic 709-day period, so arranged, repeats perpetually. A year equals seventeen consecutive terms. The mean year equals 365 8/33 days. The mean term equals 21 16/33 days.

More info here
http://www.helios.netne.net/ivymike.htm
 
  • #23
The Moon's synodic period, the time it takes to return to the same position relative to the Sun, is 29.5 days, or close to the length of a month. The sidereal period is only 27.3 days, but the Sun made a more obvious reference point than the stars. If you establish a calendar based on lunar months, you wind up with about 355 days. If you establish a calendar based on the Sun, you wind up with about 365 days (plus the extra .25 days). Different civilizations dealt with this in different ways. You could have 12 months lasting a total of 355 days, plus 10 special days; or just round to 30 and have 360 days, plus 5 dead days (which were usually unlucky days to be born); or some other strange combination trying to fit both the Sun and Moon into the same calendar. (It's more than coincidence that a circle has 360 degrees - the stars shift almost 1 degree per day).

If you're basing the calendar on the Sun, but try to force the lunar months in there anyway, there has to be an imbalance in the length of the months if all four of the key points (vernal equinox, summer solstice, autumnal equinox, and winter solstice) are all to fall on or about the 21st of the month. Notice there are more days between the summer side of the equinoxes than the winter side of the equinoxes (unless you live in Australia which does everything upside down). That's because the Earth reaches perihelion during the first week of January and apohelion during the first week of July (usually July 4th, creating an unusual coincidence for Americans).

Just an annoying side note, those people that say the longest day of the year is June 21 are wrong. That's just the day with the longest period of sunlight. The longest day of the year, from local noon to local noon, is when the Earth is at perigee during the first week of January.
 
  • #24
It also depends where you live.
If you are in the desert and are herders the exact time of year isn't such a big deal. Being able to tell the date (with practice to a day) by looking at the moon is great.

If you are further north and farming it's important to know when it's time to plant. If you rely on the weather and plant too early or late you starve.
 

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