Re: A 14th century sundial question from France.

2011-03-09 Thread JOHN DAVIS
Hi Bill (and other dialling colleagues),
 
The data that you show looks very similar to the Venerable Bede's shadow length 
tables (though the values are slightly different). This gives the length of a 
person's shadow on the assumption that their height is equal to six of their 
own feet (tall people generally have big feet!). But the hours are probably not 
the modern equal ones.
 
This topic will be discussed in some detail in the forthcoming June issue of 
the BSS Bulletin. A reason for the inaccuracies will be proposed, together with 
a rather more accurate version of the same table, to be found in an Anglo-Saxon 
manuscript.
 
Regards,
 
John
-

Dr J Davis
Flowton Dials

--- On Wed, 9/3/11, Bill Gottesman billgottes...@comcast.net wrote:


From: Bill Gottesman billgottes...@comcast.net
Subject: A 14th century sundial question from France.
To: Sundial Mailing List sund...@rrz.uni-koeln.de
Date: Wednesday, 9 March, 2011, 1:06


Richard Kremer, the Dartmouth physics professor who brought the ~1773 Dartmouth 
Sundial to display at the NASS convention this past summer, asked me the 
following question.  I have done a bit of modelling on it, and have not been 
able to supply a satisfactory answer.  Is anyone interested in offering any 
insight?  My hunch is that the astronomer who wrote this guessed at many of 
these numbers, and that they will be estimates at best for whatever model they 
are based on.  I have tried to fit them to antique, equal, and Babylonian 
hours, without success.  In 1320, the equinoxes occured around March and Sept 
14 by the Julian Calendar, as best I can tell, and that doesn't seem to help 
any.

-Bill
---
I've got a sundial geometry question for you and presume that either you, or 
someone you know, can sort it out for me.

A colleague has found a table of shadow lengths in a medieval astronomical 
table (about 1320 in Paris).  The table gives six sets of lengths, for 2-month 
intervals, and clearly refers to some kind of gnomon that is casting the 
shadows.  The manuscript containing this table of shadow lengths appears in a 
manuscript written by Paris around 1320 by John of Murs, a leading Parisian 
astronomer.  I don't know whether Murs himself composed the table or whether he 
found it in some other source.  The question is, what kind of dial is this.  A 
simple vertical gnomon on a horizontal dial does not fit the data, which I give 
below.

Dec-Jan
hour 1 27 feet
hour 2 17 feet
hour 3 13 feet
hour 4 10 feet
hour 5 8 feet
hour 6 [i.e., noon] 7 feet

Nov-Feb
1 26
2 16
3 12
4 9
5 7
6 6

Oct-Mar
1 25
2 15
3 11
4 8
5 6
6 5

Sept-Apr
1 24
2 14
3 10
4 7
5 5
6 4

Aug-May
1 23
2 13
3 9
4 6
5 4
6 3

Jul-Jun
1 22
2 12
3 8
4 5
5 3
6 2

Note that in each set, the shadow lengths decrease in identical intervals (-10, 
-4, -3, -2, -1).  This might suggest that the table is generated by some rule 
of thumb and not by exact geometrical calculation, for by first principles I 
would not expect these same decreasing intervals to be found in all six sets!

I started playing with the noon shadow lengths at the solstices, looking for a 
gnomon arrangement that yields equal lengths of the gnomon for shadow lengths 
of 7 (Dec) and 2 (Jun) units.  If you assume the dial is horizontal and you 
tilt the gnomon toward the north by 55 degs, my math shows that you get a 
gnomon length of 2.16 units.  I assume that Paris latitude is 49 degs and the 
obliquity of the ecliptic is 23.5 degs (commonly used in middle ages).

I'm too lazy to figure out the shadow lengths for the other hours of the day 
with a slanted gnomon, and presume that you have software that can easily do 
that.  Would you be willing to play around a bit with the above lengths and see 
if you can determine what gnomon arrangement might yield these data?  Perhaps 
the dial is vertical rather than horizontal?  In any case, the data are 
symmetrical, so the gnomon must be in the plane of the meridian.

Knowing that you like puzzles, I thought I'd pass this one on to you.  If you 
don't have time for it, don't worry.  This is not the most important problem 
currently facing the history of astronomy!

Best, Rich
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RE: A 14th century sundial question from France.

2011-03-09 Thread Schechner, Sara
I had exactly the same thought as John-that this was a table of shadow lengths 
in the form that Bede gives in the 7th century.
Sara


Sara J. Schechner, Ph.D.
David P. Wheatland Curator of the Collection of Historical Scientific 
Instruments
Department of the History of Science, Harvard University
Science Center 251c, 1 Oxford Street, Cambridge, MA 02138
Tel: 617-496-9542   |   Fax: 617-496-5932   |   sche...@fas.harvard.edu
http://www.fas.harvard.edu/~hsdept/chsi.html



From: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] On 
Behalf Of JOHN DAVIS
Sent: Wednesday, March 09, 2011 5:13 AM
To: Sundial Mailing List; Bill Gottesman
Subject: Re: A 14th century sundial question from France.

Hi Bill (and other dialling colleagues),

The data that you show looks very similar to the Venerable Bede's shadow length 
tables (though the values are slightly different). This gives the length of a 
person's shadow on the assumption that their height is equal to six of their 
own feet (tall people generally have big feet!). But the hours are probably not 
the modern equal ones.

This topic will be discussed in some detail in the forthcoming June issue of 
the BSS Bulletin. A reason for the inaccuracies will be proposed, together with 
a rather more accurate version of the same table, to be found in an Anglo-Saxon 
manuscript.

Regards,

John
-

Dr J Davis
Flowton Dials

--- On Wed, 9/3/11, Bill Gottesman 
billgottes...@comcast.netmailto:billgottes...@comcast.net wrote:

From: Bill Gottesman 
billgottes...@comcast.netmailto:billgottes...@comcast.net
Subject: A 14th century sundial question from France.
To: Sundial Mailing List 
sund...@rrz.uni-koeln.demailto:sund...@rrz.uni-koeln.de
Date: Wednesday, 9 March, 2011, 1:06
Richard Kremer, the Dartmouth physics professor who brought the ~1773 Dartmouth 
Sundial to display at the NASS convention this past summer, asked me the 
following question.  I have done a bit of modelling on it, and have not been 
able to supply a satisfactory answer.  Is anyone interested in offering any 
insight?  My hunch is that the astronomer who wrote this guessed at many of 
these numbers, and that they will be estimates at best for whatever model they 
are based on.  I have tried to fit them to antique, equal, and Babylonian 
hours, without success.  In 1320, the equinoxes occured around March and Sept 
14 by the Julian Calendar, as best I can tell, and that doesn't seem to help 
any.

-Bill
---
I've got a sundial geometry question for you and presume that either you, or 
someone you know, can sort it out for me.

A colleague has found a table of shadow lengths in a medieval astronomical 
table (about 1320 in Paris).  The table gives six sets of lengths, for 2-month 
intervals, and clearly refers to some kind of gnomon that is casting the 
shadows.  The manuscript containing this table of shadow lengths appears in a 
manuscript written by Paris around 1320 by John of Murs, a leading Parisian 
astronomer.  I don't know whether Murs himself composed the table or whether he 
found it in some other source.  The question is, what kind of dial is this.  A 
simple vertical gnomon on a horizontal dial does not fit the data, which I give 
below.

Dec-Jan
hour 1 27 feet
hour 2 17 feet
hour 3 13 feet
hour 4 10 feet
hour 5 8 feet
hour 6 [i.e., noon] 7 feet

Nov-Feb
1 26
2 16
3 12
4 9
5 7
6 6

Oct-Mar
1 25
2 15
3 11
4 8
5 6
6 5

Sept-Apr
1 24
2 14
3 10
4 7
5 5
6 4

Aug-May
1 23
2 13
3 9
4 6
5 4
6 3

Jul-Jun
1 22
2 12
3 8
4 5
5 3
6 2

Note that in each set, the shadow lengths decrease in identical intervals (-10, 
-4, -3, -2, -1).  This might suggest that the table is generated by some rule 
of thumb and not by exact geometrical calculation, for by first principles I 
would not expect these same decreasing intervals to be found in all six sets!

I started playing with the noon shadow lengths at the solstices, looking for a 
gnomon arrangement that yields equal lengths of the gnomon for shadow lengths 
of 7 (Dec) and 2 (Jun) units.  If you assume the dial is horizontal and you 
tilt the gnomon toward the north by 55 degs, my math shows that you get a 
gnomon length of 2.16 units.  I assume that Paris latitude is 49 degs and the 
obliquity of the ecliptic is 23.5 degs (commonly used in middle ages).

I'm too lazy to figure out the shadow lengths for the other hours of the day 
with a slanted gnomon, and presume that you have software that can easily do 
that.  Would you be willing to play around a bit with the above lengths and see 
if you can determine what gnomon arrangement might yield these data?  Perhaps 
the dial is vertical rather than horizontal?  In any case, the data are 
symmetrical, so the gnomon must be in the plane of the meridian.

Knowing that you like puzzles, I thought I'd pass this one on to you.  If you 
don't have time for it, don't worry.  This is not the most important problem 
currently 

Re: A 14th century sundial question from France.

2011-03-09 Thread Kevin Karney
Dear Friends
Don't forget the beautiful Missal of St Leofric 10-11th Century for an elegant 
but simple shadow length table
see 
http://image.ox.ac.uk/show?collection=bodleianmanuscript=msbodl579
and find folio 58 recto

Does anyone know if Bede's Table is available in manuscript image form anywhere 
on the web (plus a translation...!)?

Best regards
Kevin Karney
Freedom Cottage, Llandogo, Monmouth NP25 4TP, Wales, UK
51° 44' N 2° 41' W Zone 0
+ 44 1594 530 595


On 9 Mar 2011, at 15:03, Schechner, Sara wrote:

 I had exactly the same thought as John—that this was a table of shadow 
 lengths in the form that Bede gives in the 7th century.
 Sara
  
  
 Sara J. Schechner, Ph.D.
 David P. Wheatland Curator of the Collection of Historical Scientific 
 Instruments
 Department of the History of Science, Harvard University
 Science Center 251c, 1 Oxford Street, Cambridge, MA 02138
 Tel: 617-496-9542   |   Fax: 617-496-5932   |   sche...@fas.harvard.edu
 http://www.fas.harvard.edu/~hsdept/chsi.html
  
  
  
 From: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] On 
 Behalf Of JOHN DAVIS
 Sent: Wednesday, March 09, 2011 5:13 AM
 To: Sundial Mailing List; Bill Gottesman
 Subject: Re: A 14th century sundial question from France.
  
 Hi Bill (and other dialling colleagues),
  
 The data that you show looks very similar to the Venerable Bede's shadow 
 length tables (though the values are slightly different). This gives the 
 length of a person's shadow on the assumption that their height is equal to 
 six of their own feet (tall people generally have big feet!). But the hours 
 are probably not the modern equal ones.
  
 This topic will be discussed in some detail in the forthcoming June issue of 
 the BSS Bulletin. A reason for the inaccuracies will be proposed, together 
 with a rather more accurate version of the same table, to be found in an 
 Anglo-Saxon manuscript.
  
 Regards,
  
 John
 -
 
 Dr J Davis
 Flowton Dials
 
 --- On Wed, 9/3/11, Bill Gottesman billgottes...@comcast.net wrote:
 
 From: Bill Gottesman billgottes...@comcast.net
 Subject: A 14th century sundial question from France.
 To: Sundial Mailing List sund...@rrz.uni-koeln.de
 Date: Wednesday, 9 March, 2011, 1:06
 
 Richard Kremer, the Dartmouth physics professor who brought the ~1773 
 Dartmouth Sundial to display at the NASS convention this past summer, asked 
 me the following question.  I have done a bit of modelling on it, and have 
 not been able to supply a satisfactory answer.  Is anyone interested in 
 offering any insight?  My hunch is that the astronomer who wrote this guessed 
 at many of these numbers, and that they will be estimates at best for 
 whatever model they are based on.  I have tried to fit them to antique, 
 equal, and Babylonian hours, without success.  In 1320, the equinoxes occured 
 around March and Sept 14 by the Julian Calendar, as best I can tell, and that 
 doesn't seem to help any.
 
 -Bill
 ---
 I've got a sundial geometry question for you and presume that either you, or 
 someone you know, can sort it out for me.
 
 A colleague has found a table of shadow lengths in a medieval astronomical 
 table (about 1320 in Paris).  The table gives six sets of lengths, for 
 2-month intervals, and clearly refers to some kind of gnomon that is casting 
 the shadows.  The manuscript containing this table of shadow lengths appears 
 in a manuscript written by Paris around 1320 by John of Murs, a leading 
 Parisian astronomer.  I don't know whether Murs himself composed the table or 
 whether he found it in some other source.  The question is, what kind of dial 
 is this.  A simple vertical gnomon on a horizontal dial does not fit the 
 data, which I give below.
 
 Dec-Jan
 hour 1 27 feet
 hour 2 17 feet
 hour 3 13 feet
 hour 4 10 feet
 hour 5 8 feet
 hour 6 [i.e., noon] 7 feet
 
 Nov-Feb
 1 26
 2 16
 3 12
 4 9
 5 7
 6 6
 
 Oct-Mar
 1 25
 2 15
 3 11
 4 8
 5 6
 6 5
 
 Sept-Apr
 1 24
 2 14
 3 10
 4 7
 5 5
 6 4
 
 Aug-May
 1 23
 2 13
 3 9
 4 6
 5 4
 6 3
 
 Jul-Jun
 1 22
 2 12
 3 8
 4 5
 5 3
 6 2
 
 Note that in each set, the shadow lengths decrease in identical intervals 
 (-10, -4, -3, -2, -1).  This might suggest that the table is generated by 
 some rule of thumb and not by exact geometrical calculation, for by first 
 principles I would not expect these same decreasing intervals to be found in 
 all six sets!
 
 I started playing with the noon shadow lengths at the solstices, looking for 
 a gnomon arrangement that yields equal lengths of the gnomon for shadow 
 lengths of 7 (Dec) and 2 (Jun) units.  If you assume the dial is horizontal 
 and you tilt the gnomon toward the north by 55 degs, my math shows that you 
 get a gnomon length of 2.16 units.  I assume that Paris latitude is 49 degs 
 and the obliquity of the ecliptic is 23.5 degs (commonly used in middle ages).
 
 I'm too lazy to figure out the shadow lengths for the 

Re: Leap Years

2011-03-09 Thread Frank King
Dear Brent,

You ask a fascinating set of questions.

 Has the leap year problem been solved with
 solar calendars?

At one level, the problem is intractable.  You
get defeated by the calendar bequeathed to us
by Pope Gregory XIII...

The problem is that the Gregorian calendar is
hardly an improvement on the Julian calendar.
Indeed, right now, we are barely half way
through a near 200-year run of pure Julian
calendar.  The last time a leap year was
omitted from the regular 4-year cycle was
in 1900 and the next time will be 2100.

The Julian drift which prompted calendar
reform in 1582 is very much still a problem
for those of us who build calendars into our
sundials.

OK, end of ranting about Pope Gregory (who
actually had many merits but calendar reform
wasn't one of them).

All that said, you can have a perfectly good
solar calendar which will work just fine for
36 years before Julian drift defeats you.  If
it is a painted sundial, you could leave some
documentation as to how it should be repainted
every 36 years and set up for the next 36 years.

Let's start afresh with a minimalist sundial
which is set out on horizontal ground and
consists of a nodus and a noon line and
nothing else.

Proceed as follows, starting at local sun noon
on 1 March 2011.  This is a crucial date.  Pity
you missed it!

 1.  From, say, four minutes *before* local sun
 noon until spot on sun noon sketch the
 path traced by the shadow of the nodus as
 it approaches the noon line on 1 March 2011.

 2.  Repeat on 2 March 2011.  The declination
 is slightly higher so the path will be
 very slightly further south than the
 path was the previous day.

 3.  Keep going until the summer solstice.
 The succession of lines will now stop
 heading south and begin to head north...

 4.  Still keep going but, to avoid confusion
 in the sketch, trace the path from spot on
 sun noon until four minutes *after* noon.
 This way, as the sun's declination
 decreases and your sketch folds back on
 itself, you won't have little lines
 messing up the ones you already drew.

 5.  Keep going until the winter solstice.

 6.  Still keep going but now go back to
 sketching lines *before* noon.  The
 lines will start heading south again.

 7.  Keep going until 12 noon on 29 February
 next year.  You will have drawn EXACTLY
 365 little lines.  [Note that 29 February
 is 365 days AFTER 1 March the previous
 year, not 366 days.]

 8.  In the vicinity of 29 February, the
 lines you drew will be approximately
 equally spaced except that the space
 between the line for 29 February 2012
 and the line for 1 March 2011 will be
 just under a quarter of the space
 between the other adjacent lines in
 the vicinity.

 9.  Still with me?  It takes just under 365
 and a quarter days for the declination
 to get back to what it was on 1 March
 the previous year.  Hence the anomalous
 gap.

10.  Now, DON'T STOP.  Just keep going for
 1 March 2012 and so on.  You will find
 that the line for 1 March 2012 is about
 three-quarters of the way from the
 1 March 2011 line to the 2 March 2011
 line.  You really are closer to the
 old 2 March line than the old 1 March
 line.

11.  I am a hard task-master.  I want you
 to keep going for 36 years.  Well you
 did ask what to do after all :-)

12.  You will, of course, have 36 lines for
 1 March which form a patch.  You will
 have 36 lines for 2 March which form
 another patch and so on BUT you have
 only 9 lines for 29 February and they
 form a patch which is just under a
 quarter of the width of neighbouring
 patches.

13.  Your solar calendar is almost complete.
 You label these patches rather than
 the individual lines and it all works.
 When the solar declination is increasing
 (Winter Solstice to Summer Solstice) the
 shadow will cross the 1 March patch only
 on 1 March.  It will cross the 29 February
 patch only on 29 February.  In years that
 are not leap years it skips that patch.

14.  For maximum benefit, it really is best to
 start on 1 March the year before a leap
 year.  That's why I said you should start
 on 1 March 2011.

Does it work?  Has it been done?

Yes.  Yes.  Been there, done that, got the T-shirt.

Take a look at:

http://www.cl.cam.ac.uk/users/fhk1/PSQ.jpg

This photograph was taken by David Isaacs.

You can see the little patches which are alternating
red-brown and grey.  You can see the patch for
29 February is just under one-quarter the width of
its two neighbours, 28 February and 1 March.

This is on a (nearly) vertical wall instead of
on the ground but the idea is the same.
 
To make it more interesting, instead of having
patches either side of a vertical noon line I
have them making up an analemma so you get the
extra bonus of knowing when local mean noon.

Actually, 

Re: Leap Year - amendment

2011-03-09 Thread Frank King
Dear Brent,

Slight goof.  In step 7 I meant to say:

 7.  Keep going until 12 noon on 29 February
 next year.  You will have drawn EXACTLY
 366 little lines.  [Note that 29 February
 is 365 days AFTER 1 March the previous
 year, not 366 days.]

You have 366 lines and 365 normal gaps plus
one thin gap to close the loop.  I always get
muddled when I try to explain that :-(

All the best

Frank.


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Re: Leap Year

2011-03-09 Thread Frank King
Dear Andrew,

Thank you for your two messages, sent off-list but my
response may be of trifling interest to others...

It is true that 128 tropical years is very close
to 46751 days but when it comes to a real solar
calendar (one you can look at and say Oh, I see
that today is 9 March) I regard this fact as a
red herring.

It is also very dubious long term.  The simple
question: How many days are there in a tropical
year? has no useful answer beyond about three
decimal places.  The awkward fact is that neither
the length of the year nor the length of the day
is a constant.  The length of the day changes
in an especially horribly unpredictable manner
which is why leap seconds are unpredictable.

 I don't see where 36 fits in...

This is a purely practical matter.  If you sketch
in my lines for, say, 12 noon on 1 March and
12 noon on 2 March each year for a number of
years you will find that you are scribbling in
two patches.

The patches gradually fill in (unless you have
a VERY sharp pencil) and expand.

After 36 years you find that adjacent patches
collide.  They run into each other.  In the
region of overlap, you cannot tell whether the
shadow refers to 1 March or 2 March.  Your
instrument is at the end of its design life
and you have to redraw it for the next 36 years.

Life becomes impossibly difficult around 2100
because of the omitted leap year then and the
best thing you can do is redraw your instrument
for the 36 years from 1 March 2103.  My ghost
will be lurking around to check that you get
it right.

 I also see that 33 tropical years is just
 11 and a bit minutes short of a whole number
 (12053) of days.  Is this connected?

Yes.  Now you are really getting somewhere and
I am starting to salivate at the prospect of
writing a juicy reply :-)

 I seem to remember there are or were various
 calendar proposals based on 33 year cycles...

Yes.  Such a calendar was devised by Omar Khayyam
(and others) in 1079.  This was and still would
be an absolutely super calendar, MUCH better
than the horrid muddle we have to live with!

A 33-year cycle which includes 8 leap years
would be perfect if the length of year was
365 plus 8/33 days and it jolly nearly is.

You still get very long term drift and you
cannot win against the unpredictability
of the length of the day but, with such a
calendar, my patches start colliding after more
like 500 years rather than a miserable 36.

Pope Gregory missed a trick.  By 1582 the
33-year calendar had been known about for
over 500 years.  Moreover, Pope Gregory's
Commission included Na'amat Allah an
eastern patriarch who would certainly
have known about the 33-year calendar.

If I could do only one thing as Dictator
Of The World it would be to introduce
Omar Khayyam's calendar.

Vote for me!

All the best

Frank

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Moscow sundial?

2011-03-09 Thread Roger W. Sinnott
All,

I am trying to find a YouTube video that was linked to from this list
several years ago.

It shows a large analemmatic sundial located in a public park in Moscow (I
think).  Various passersby tried to figure out how it worked, where to
stand, etc., and it was pretty funny.  This could not have been before 2005,
the year YouTube started.

Anyone have the link?

Roger


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standard meridian list

2011-03-09 Thread Donald Christensen
I'm trying to find a list of cities and the standard meridian they set their
clock to.

Example

Brisbane  - 150 deg east

San Fransisco - 120 deg west

Paris - 15 deg east

London - 0 deg






-- 
Cheers
Donald
0423 102 090


This e-mail is privileged and confidential. If you are not the intended
recipient please delete the message and notify the sender. Un-authorized use
of this email is subject to penalty of law.
So there!
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Re: standard meridian list

2011-03-09 Thread Daniel Roth
Görlitz - 15 deg east



Donald Christensen dchristensen...@gmail.com schrieb:

I'm trying to find a list of cities and the standard meridian they set their 
clock to.

Example

Brisbane  - 150 deg east

San Fransisco - 120 deg west

Paris - 15 deg east

London - 0 deg






-- 
Cheers
Donald
0423 102 090


This e-mail is privileged and confidential. If you are not the intended 
recipient please delete the message and notify the sender. Un-authorized use of 
this email is subject to penalty of law.
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Re: A 14th century sundial question from France.

2011-03-09 Thread Mario Arnaldi
The data that you show looks very similar to the Venerable Bede's shadow length 
tables (though the values are slightly different). This gives the length of a 
person's shadow on the assumption that their height is equal to six of their 
own feet (tall people generally have big feet!). But the hours are probably not 
the modern equal ones.
--

Dear friends, can I suggest you the reading of an exellent and almost complete 
article about shadows schemes written by Karlheinz Schaldach? The article is 
found in Gnomonica Italiana n. 16, november 2008. In this article Schaldach 
analize more than 40 medieval shadows schemes putting them into distinct models 
classified by the numerical sequence.
As John wrote this is a simple shadow sheme common in medieval time up to the 
16th century, usually called Horologium or horologium viatorum.
The numerical sequence given by Bill is not the sequence written by pseudo-Beda 
(I say pseudo-Beda just because is not sure at all that the sheme that we 
usually say is from Beda is really from Beda. That scheme is usual in the 
Fleury manuscripts). The sequence that we call from Beda has been categorized 
by Schaldach in a Saint Gallen model (because is very common in the manuscripts 
present in that abbey and commonly of Irish origin), variant C1.
In the scheme written by Bill we can recognise a rare scheme: the model of 
Flavigny, and Karlheinz Schaldach knows only one example (Leiden, UB Scaliger 
28, fol. 2v) dated to the 9th cent.
The model of Flavigny is really very similar to the famous, and almost unique, 
shadow scheme of Palladius, but it changes the Dec-Jan and Nov-Feb colums
-
Palladius:
Dec-Jan
hour 1 29 feet
hour 2 19 feet
hour 3 15 feet
hour 4 12 feet
hour 5 10 feet
hour 6  9 feet

Nov-Feb
1 27
2 17
3 13
4 10
5 8
6 7


Flavigny:
27 feet
17 feet
14 feet
10 feet
 8 feet
 7 feet

Nov-Feb
1 26
2 16
3 13
4 9
5 7
6 6

--
As we can see the sequence is very similar to the one shoed by Bill, but one 
difference: the shadow lengthf the 3-9th hour is major of one unit.
The sequence of the 3d and 9th hour in the Flavigny scheme is:14, 13, 12, 11, 
10, 9 - while in the Bill sheme is: 13, 12, 11, 10, 9, 8.
So the sequence of the intervals for Flavigny is (-10, -3 -4 -2, -1) while for 
the Bill text is (-10, -4, -3, -2, -1).  This sounds as the scheme from Bill is 
the more correct Flavigny model, but to prove this we should find another ms 
with correct sequence daded bak almost to the 9th century.
Bytheway the Leiden ms is earlier than the Bill written scheme, so we can 
surely say that this last scheme is not from John of Murs, but older. 

Thanks
Mario Arnaldi
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AW: Moscow sundial?

2011-03-09 Thread Reinhold Kriegler
 
Dear Roger,
 
it might well be you are looking for the very beautiful
sundial-YouTube-film which you can easily find within this link:
 
http://www.ta-dip.de/sonnenuhren/sonnenuhren-von-freunden/r-u-s-s-l-a-n-
d/aleksandr-w-boldyrev.html 
 
Have a look!
The beautiful young Russian women enjoy this sundial, made by Aleksandr
W Boldyrev as well as the pigeons and the little children… and some men!
Enjoy!
 
Best regards!
Reinhold Kriegler



* ** ***  * ** ***
 
Reinhold R. Kriegler
 
Lat. 53° 6' 52,6 Nord; Long. 8° 53' 52,3 Ost; 48 m ü. N.N.  GMT +1 (DST
+2)   www.ta-dip.de
 
http://de.youtube.com/watch?v=XyCoJHwzzjUfmt=18
 
http://www.ta-dip.de/dies-und-das/r-e-i-n-h-o-l-d.html
 
 
-Ursprüngliche Nachricht-
Von: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de]
Im Auftrag von Roger W. Sinnott
Gesendet: Mittwoch, 9. März 2011 22:44
An: 'Sundial List'
Betreff: Moscow sundial?
 
All,
 
I am trying to find a YouTube video that was linked to from this list
several years ago.
 
It shows a large analemmatic sundial located in a public park in Moscow
(I
think).  Various passersby tried to figure out how it worked, where to
stand, etc., and it was pretty funny.  This could not have been before
2005,
the year YouTube started.
 
Anyone have the link?
 
Roger
 
 
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RE: Moscow sundial?

2011-03-09 Thread Roger W. Sinnott
Hi Reinhold,

 

Yes, that’s it!!  Many thanks.

 

When it was first posted, I remember a comment by someone on this list:
Most of the people  stood on the label of the month, rather than on the
point on the centerline to which the label referred.  (I’m not sure what
point the pigeons went to.)

 

Roger

 

Direct link:  http://www.youtube.com/user/AleksandrBoldyrev?gl=RU
http://www.youtube.com/user/AleksandrBoldyrev?gl=RUhl=ru hl=ru

 

 

From: Reinhold Kriegler [mailto:reinhold.krieg...@gmx.de] 
Sent: Wednesday, March 09, 2011 5:47 PM
To: 'Roger W. Sinnott'; 'Sundial List'
Subject: AW: Moscow sundial?

 

 

Dear Roger,

 

it might well be you are looking for the very beautiful sundial-YouTube-film
which you can easily find within this link:

 

http://www.ta-dip.de/sonnenuhren/sonnenuhren-von-freunden/r-u-s-s-l-a-n-d/al
eksandr-w-boldyrev.html 

 

Have a look!

The beautiful young Russian women enjoy this sundial, made by Aleksandr W
Boldyrev as well as the pigeons and the little children… and some men!

Enjoy!

 

Best regards!

Reinhold Kriegler




* ** ***  * ** ***

 

Reinhold R. Kriegler

 

Lat. 53° 6' 52,6 Nord; Long. 8° 53' 52,3 Ost; 48 m ü. N.N.  GMT +1 (DST +2)
www.ta-dip.de

 

http://de.youtube.com/watch?v=XyCoJHwzzjU
http://de.youtube.com/watch?v=XyCoJHwzzjUfmt=18 fmt=18

 

http://www.ta-dip.de/dies-und-das/r-e-i-n-h-o-l-d.html

 

 

-Ursprüngliche Nachricht-
Von: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] Im
Auftrag von Roger W. Sinnott
Gesendet: Mittwoch, 9. März 2011 22:44
An: 'Sundial List'
Betreff: Moscow sundial?

 

All,

 

I am trying to find a YouTube video that was linked to from this list

several years ago.

 

It shows a large analemmatic sundial located in a public park in Moscow (I

think).  Various passersby tried to figure out how it worked, where to

stand, etc., and it was pretty funny.  This could not have been before 2005,

the year YouTube started.

 

Anyone have the link?

 

Roger

 

 

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RE: Moscow sundial?

2011-03-09 Thread John Carmichael
Loved the human dial video!

 

I sent the video link to a client in Michigan who is ordering a human
sundial design.  She thought it was fantastic. It will be a great selling
tool for potential clients!

 

Thx so much!

 

John

 

p.s. BTW, We are featuring Alek Boldyrev’s stained glass sundial as our
Sundial of the Month at www.stainedglasssundials.com.  It’s a rather unique
design that places the sundial in a tall handsome wood frame on a upright
stand in a park near Moscow.

 

 

 

From: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] On
Behalf Of Reinhold Kriegler
Sent: Wednesday, March 09, 2011 3:47 PM
To: 'Roger W. Sinnott'; 'Sundial List'
Subject: AW: Moscow sundial?

 

 

Dear Roger,

 

it might well be you are looking for the very beautiful sundial-YouTube-film
which you can easily find within this link:

 

http://www.ta-dip.de/sonnenuhren/sonnenuhren-von-freunden/r-u-s-s-l-a-n-d/al
eksandr-w-boldyrev.html 

 

Have a look!

The beautiful young Russian women enjoy this sundial, made by Aleksandr W
Boldyrev as well as the pigeons and the little children… and some men!

Enjoy!

 

Best regards!

Reinhold Kriegler




* ** ***  * ** ***

 

Reinhold R. Kriegler

 

Lat. 53° 6' 52,6 Nord; Long. 8° 53' 52,3 Ost; 48 m ü. N.N.  GMT +1 (DST +2)
www.ta-dip.de

 

http://de.youtube.com/watch?v=XyCoJHwzzjUfmt=18

 

http://www.ta-dip.de/dies-und-das/r-e-i-n-h-o-l-d.html

 

 

-Ursprüngliche Nachricht-
Von: sundial-boun...@uni-koeln.de [mailto:sundial-boun...@uni-koeln.de] Im
Auftrag von Roger W. Sinnott
Gesendet: Mittwoch, 9. März 2011 22:44
An: 'Sundial List'
Betreff: Moscow sundial?

 

All,

 

I am trying to find a YouTube video that was linked to from this list

several years ago.

 

It shows a large analemmatic sundial located in a public park in Moscow (I

think).  Various passersby tried to figure out how it worked, where to

stand, etc., and it was pretty funny.  This could not have been before 2005,

the year YouTube started.

 

Anyone have the link?

 

Roger

 

 

---

https://lists.uni-koeln.de/mailman/listinfo/sundial

---
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Re: Leap Years

2011-03-09 Thread Brent

Hi Frank;

Thank you for that detailed response.

While I am trying to digest all of that I have a new question.
Do the ancient solar calendars like the Incas still work?
Do their rocks still show where the solstices will occur now?

Your explanation below seems to indicate that their 
calendars would get progressively worse in predicting the 
day of solstices.


On a side thought, the problem seems to be that we are using 
the time for the earth to spin around (a day) to measure the 
time it takes the earth to go around the sun (a year).
These are two different events and it doesn't make sense to 
use one to measure the other.


A day is a day and a year is a year, we shouldn't mix the 
two as it makes for a very messy situation.


Forget the Popes calendar, can't I make a solar calendar 
that depicts a true solar year? It would mark the two 
solstices, the time between those two points is half a solar 
year. Half way in between those are the two equinoxes which 
would mark 1/4 of a year and we could keep halving the 
differences to get 1/8, 1/16, 1/32, 1/64 of a year etc...
So we don't try to define a year in earth days but just 
split up a true year into equal parts.


And this solar calendar would need no leap year and would 
always be correct.


Maybe :)

On 3/9/2011 9:27 AM, Frank King wrote:

Dear Brent,

You ask a fascinating set of questions.


Has the leap year problem been solved with
solar calendars?


At one level, the problem is intractable.  You
get defeated by the calendar bequeathed to us
by Pope Gregory XIII...

The problem is that the Gregorian calendar is
hardly an improvement on the Julian calendar.
Indeed, right now, we are barely half way
through a near 200-year run of pure Julian
calendar.  The last time a leap year was
omitted from the regular 4-year cycle was
in 1900 and the next time will be 2100.

The Julian drift which prompted calendar
reform in 1582 is very much still a problem
for those of us who build calendars into our
sundials.

OK, end of ranting about Pope Gregory (who
actually had many merits but calendar reform
wasn't one of them).

All that said, you can have a perfectly good
solar calendar which will work just fine for
36 years before Julian drift defeats you.  If
it is a painted sundial, you could leave some
documentation as to how it should be repainted
every 36 years and set up for the next 36 years.

Let's start afresh with a minimalist sundial
which is set out on horizontal ground and
consists of a nodus and a noon line and
nothing else.

Proceed as follows, starting at local sun noon
on 1 March 2011.  This is a crucial date.  Pity
you missed it!

  1.  From, say, four minutes *before* local sun
  noon until spot on sun noon sketch the
  path traced by the shadow of the nodus as
  it approaches the noon line on 1 March 2011.

  2.  Repeat on 2 March 2011.  The declination
  is slightly higher so the path will be
  very slightly further south than the
  path was the previous day.

  3.  Keep going until the summer solstice.
  The succession of lines will now stop
  heading south and begin to head north...

  4.  Still keep going but, to avoid confusion
  in the sketch, trace the path from spot on
  sun noon until four minutes *after* noon.
  This way, as the sun's declination
  decreases and your sketch folds back on
  itself, you won't have little lines
  messing up the ones you already drew.

  5.  Keep going until the winter solstice.

  6.  Still keep going but now go back to
  sketching lines *before* noon.  The
  lines will start heading south again.

  7.  Keep going until 12 noon on 29 February
  next year.  You will have drawn EXACTLY
  365 little lines.  [Note that 29 February
  is 365 days AFTER 1 March the previous
  year, not 366 days.]

  8.  In the vicinity of 29 February, the
  lines you drew will be approximately
  equally spaced except that the space
  between the line for 29 February 2012
  and the line for 1 March 2011 will be
  just under a quarter of the space
  between the other adjacent lines in
  the vicinity.

  9.  Still with me?  It takes just under 365
  and a quarter days for the declination
  to get back to what it was on 1 March
  the previous year.  Hence the anomalous
  gap.

10.  Now, DON'T STOP.  Just keep going for
  1 March 2012 and so on.  You will find
  that the line for 1 March 2012 is about
  three-quarters of the way from the
  1 March 2011 line to the 2 March 2011
  line.  You really are closer to the
  old 2 March line than the old 1 March
  line.

11.  I am a hard task-master.  I want you
  to keep going for 36 years.  Well you
  did ask what to do after all :-)

12.  You will, of course, have 36 lines for
  1 March which form a patch.  You will
  have 36 lines for 2 March which form
  another patch and so on BUT you have
  only 9 lines for