Continuity/Roulean Calendar and Portal Years: Difference between revisions

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Over the life of Asheron's Call, we have been presented with several Roulean Calendar dates, and how they relate to the Portal Year calendar system used on Dereth.
In early 2003, Turbine released a timeline called [[The History of Auberean]]. We are presented with several events, and the year they occurred on both the Portal Year and Roulean calendars:


== Beta ==
{|class="wikitable"
The text [[The Reign of Alfrega]] has several dates in it, and also outlines the general history of Aluvia. Stormwaltz also provided a [[Stormwaltz Quotes/On Aluvian Rulers|list of dates]] that he worked from when writing the Reign of Alfrega in beta.<ref name=SQOnAluvianRulers>2002/03 [[Stormwaltz Quotes]] - On Aluvian Rulers</ref>
|width=90| '''Portal Year'''
 
|width=90| '''Roulean Year'''
:{|{{format|Panel}}
| '''Event'''
|bgcolor=#d0d0d0| '''Roulean Year
|-
|bgcolor=#d0d0d0| '''Event
| -1441 PY || 324 RC || Jojiism founded.<ref name=HistoryOfAubereanVol3>2003/03 [[The History of Auberean/Volume III: The Fall From Grace (-1,804 to -891)]]</ref>
|-
| -869 PY || 704 RC || Viamont invades Aluvia. The reign of Pwyll II ends and the reign of Alfric begins.<ref name=HistoryOfAubereanVol4>2003/03 [[The History of Auberean/Volume IV: Shifting Ways (-888 to -574)]]</ref>
|-
| -779 PY || 765 RC || Reign of Alfrega begins. Harlune stays behind on Ispar during an expedition.<ref name=HistoryOfAubereanVol4 />
|-
| -758 PY || 779 RC || Reign of Osric begins.<ref name=HistoryOfAubereanVol4 />
|-
|-
| 787 RC || Reign of Pwyll II begins. It lasts 17 years.<ref name=SQOnAluvianRulers/>
| -540 PY || 924 RC || Gharu'n armies seige the Roulean capital of Tirethas.<ref name=HistoryOfAubereanVol5>2003/03 [[The History of Auberean/Volume V: New Arrivals (-540 to 13)]]</ref>
|-
|-
| 804 RC || Viamont invades Aluvia, reign of Pwyll II ends.<ref name=SQOnAluvianRulers/><ref name=TheReignOfAlfrega>1999/11 [[Release]] - [[The Reign of Alfrega]]</ref>
| -358 PY || 1046 RC || Emperor Kou unites the Sho under his rule.<ref name=HistoryOfAubereanVol5 />
|-
|-
| 804 RC || Reign of Alfric begins. It lasts 20 years.<ref name=SQOnAluvianRulers/>
|}
 
With multiple matching pairs of dates, we can determine the equation to convert between calendars. All we have to do is treat the pairs of dates as coordinates of points, and find the equation for the line that intersects those points. We will determine the equation for each set of points:
 
{|class="wikitable"
|width=90| '''Point A'''
|width=90| '''Point B'''
| '''Equation'''
|-
|-
| 824 RC || Reign of Alfric ends.<ref name=SQOnAluvianRulers/>
| 324, -1441 || 704, -869 || PY = (143/95) * RC - (183227/95)
|-
|-
| 824 RC || Reign of Theolaud begins. It lasts 30 years.<ref name=SQOnAluvianRulers/><ref name=TheReignOfAlfrega/>
| | 324, -1441 || 765, -779 || PY = (662/441) * RC - (94441/49)
|-
|-
| 854 RC || Reign of Theolaud Ends.<ref name=SQOnAluvianRulers/><ref name=TheReignOfAlfrega/>
| 324, -1441 || 779, -758 || PY = (683/455) * RC - (876947/455)
|-
|-
| 854 RC || Reign of Alfrega begins. It lasts 14 years.<ref name=SQOnAluvianRulers/>
| 324, -1441 || 924, -540 || PY = (901/600) * RC - (96377/50)
|-
|-
| 860 RC || Public resistance of the Orts begins.<ref name=TheReignOfAlfrega/>
| 324, -1441 || 1046, -358 || PY = (3/2) * RC - (1927)
|-
|-
| 861 RC || Tharesun and Harlune seek out the hidden camps of Orts.<ref name=TheReignOfAlfrega/>
| 704, -869 || 765, -779 || PY = (90/61) * RC - (116369/61)
|-
|-
| 868 RC || 83 Orts are captured in Celdon.<ref name=TheReignOfAlfrega/>
| 704, -869 || 779, -758 || PY = (37/25) * RC - (47773/25)
|-
|-
| 868 RC || Reign of Alfrega ends.<ref name=SQOnAluvianRulers/><ref name=TheReignOfAlfrega/>
| 704, -869 || 924, -540 || PY = (329/220) * RC - (9609/5)
|-
|-
| 868 RC || Reign of Osric begins. It lasts 31 years.<ref name=SQOnAluvianRulers/><ref name=TheReignOfAlfrega/>
| 704, -869 || 1046, -358 || PY = (511/342) * RC - (328471/171)
|-
|-
| 899 RC || Reign on Osric ends.<ref name=SQOnAluvianRulers/>
| 765, -779 || 779, -758 || PY = (3/2) * RC - (3853/2)
|-
|-
| 899 RC || Reign of Pwyll III begins. It lasts 25 years.<ref name=SQOnAluvianRulers/>
| 765, -779 || 924, -540 || PY = (239/159) * RC - (102232/53)
|-
|-
| 924 RC || Reign of Pwyll III ends.<ref name=SQOnAluvianRulers/>
| 765, -779 || 1046, -358 || PY = (421/281) * RC - (540964/281)
|-
|-
| 924 RC || Reign of Cellric II begins. It is not known how long it lasts.<ref name=SQOnAluvianRulers/>
| 779, -758 || 924, -540 || PY = (218/145) * RC - (279732/145)
|-
|-
| 1311 RC || After approximately 400 years pass, the reign of Cedraic III begins.<ref name=SQOnAluvianRulers/><br />It is listed as having an unknown end date, but lasting 10 years, implying it is the current reign.
| 779, -758 || 1046, -358 || PY = (400/267) * RC - (513986/267)
|-
|-
| Present Day || "Good King Cedraic" reigns in Aluvia during this time.<ref name=ZogblasterAluvInto>1999/11 [[Release]] - [[Zogblaster Archive/Heritage Groups/Aluvian]]</ref>
| 924, -540 || 1046, -358 || PY = (91/61) * RC - (117024/61)
|-
|-
|}
|}


If we solve the division within the parentheses, we see these equations are all fairly similar. Below is a table with the equations, where the division has been solved to four decimal places:


At this point, these dates exist more or less in a vacuum; there is no direct connection to the Portal Year system. One could theorize that, if Good King Cedraic and Cedraic III are the same person, and Cedraic III's reign has lasted 10 years since 1311, the "present day" in the Roulean Calendar is 1321. One could also reasonably assume that "present day" could be anywhere from -15 PY, when Aluvians first began to arrive in Dereth, to 10 PY, when [[Release]] occurs.
{|class="wikitable"
 
| '''Equation'''
== AC:DM ==
| '''is similar to:'''
With the release of [[Dark Majesty|Asheron's Call: Dark Majesty]], players were given the [[AC:DM CD Lore]]. Among these files was the [[AC:DM CD Lore/Ages of the Empyrean|Ages of the Empyrean]], which outlined the history of Auberean. It also contains a few valuable pieces of information regarding the Roulean Calendar:
|-
 
| PY = (143/95) * RC - (183227/95) || PY = (1.5053) * RC - (1928.7053)
:{|{{format|Panel}}
|-
|bgcolor=#d0d0d0| '''Eipoth
| PY = (662/441) * RC - (94441/49) || PY = (1.5011) * RC - (1927.3673)
|bgcolor=#d0d0d0| '''Portal Year
|bgcolor=#d0d0d0| '''Roulean Year
|bgcolor=#d0d0d0| '''Event
|-
|-
| ME 564
| PY = (683/455) * RC - (876947/455) || PY = (1.5011) * RC - (1927.3560)
| ''-15 PY*
| 1261 RC
| Humans arrive on Dereth.<ref name=AgesEmp>2001/11 [[Dark Majesty]] - [[AC:DM CD Lore/Ages of the Empyrean|Ages of the Empyrean]]</ref>
|-
|-
| ME 579
| PY = (901/600) * RC - (96377/50) || PY = (1.5017) * RC - (1927.54)
| 0 PY
| 1276 RC
| Olthoi Queen is defeated.<ref name=AgesEmp/>
|-
|-
| ''ME 591**
| PY = (3/2) * RC - (1927) || PY = (1.5) * RC - (1927)
| 12 PY
| 1284 RC
| Marae Lassel opens.<ref name=AgesEmp/>
|-
|-
|colspan=4| <small>*Stated in numerous other sources.<br>**extrapolated from 1:1 ratio of Eipothi to PY.</small>
| PY = (90/61) * RC - (116369/61) || PY = (1.4754) * RC - (1907.6885)
|}
 
 
We start running into issues here:
 
First, our theory about the beta timeline's present day being 1321 RC are invalidated - that date has yet to occur according to this new timeline. At the very least, this pushes back the timeframe for Cedraic III's reign.  And at most, it pushes back all previous dates, if you stick to timespans Stormwaltz laid out.
 
Second, we have incosistancies in the ammount of time that is passing on each calendar. Between the first two events, humans arriving and humans defeating the Olthoi Queen, 15 years pass on each calednar. However, between the sescond and third events, 12 years pass on the Yalaini and Portal Year calendars, but only 8 years pass on the Roulean calendar.
 
Our options are:
# Ispar years and Auberean years are at a 1:1 ratio, and the last date is incorrect - it should be 1288 RC when Marae Lassel opens.
# Ispar years and Auberean years are at a 1:1.5 ratio, and the first date is incorrect - it should 1266 RC when humans first arrive on Dereth.
 
With only these three dates to work from, we can't really draw any conclusions. The easiest assumption is that the writers created a 1:1 ratio for Ispar:Auberean years, because it would be very easy to convert dates. But just because its the easiest, doesn't mean its correct.
 
== The History of Auberean ==
In early 2003, Turbine released another timeline called [[The History of Auberean]]. We are presented new information:
 
:{|{{format|Panel}}
|bgcolor=#d0d0d0| '''Portal Year
|bgcolor=#d0d0d0| '''Roulean Year
|bgcolor=#d0d0d0| '''Event
|-
|-
| -1441 PY || 324 RC || Jojiism founded.
| PY = (37/25) * RC - (47773/25) || PY = (1.48) * RC - (1910.92)
|-
|-
| -874 PY || ??? || The Yalaini open the first portal to Ispar. It goes to Aluvian lands.
| PY = (329/220) * RC - (9609/5) || PY = (1.4955) * RC - (1921.8)
|-
|-
| -869 PY || 704 RC || Viamont invades Aluvia. The reign of Pwyll II ends and the reign of Alfric begins.
| PY = (511/342) * RC - (328471/171) || PY = (1.4942) * RC - (1920.8830)
|-
|-
| -779 PY || 765 RC || Reign of Alfrega begins.
| PY = (3/2) * RC - (3853/2) || PY = (1.5) * RC - (1926.5)
|-
|-
| -779 PY || 765 RC || Harlune stays behind on Ispar during an expedition.
| PY = (239/159) * RC - (102232/53) || PY = (1.5031) * RC - (1928.9057)
|-
|-
| -758 PY || 779 RC || Reign of Osric begins.
| PY = (421/281) * RC - (540964/281) || PY = (1.4982) * RC - (1925.1388)
|-
|-
| -540 PY || 924 RC || Gharu'n armies seige the Roulean capital of Tirethas.
| PY = (218/145) * RC - (279732/145) || PY = (1.5034) * RC - (1929.1862)
|-
|-
| -358 PY || 1046 RC || Emperor Kou unites the Sho under his rule.
| PY = (400/267) * RC - (513986/267) || PY = (1.4981) * RC - (1925.0412)
|-
|-
| -15 PY || ??? || The portals created by the Sundering begin to appear on Ispar in the Aluvian lands, and the first humans begin to arrive on Dereth.
| PY = (91/61) * RC - (117024/61) || PY = (1.4918) * RC - (1918.4262)
|-
|-
|}
|}


One thing is very clear, the slope of all of these equations is very close to 1.5, which we will express as (3/2). Its only the y-intercept that varies. We have determined that the y-intercept is somewhere between around -1,907 and -1,930. One way to further narrow this down is to find the equation that best works for each point, given that the slope is (3/2). If we do so, we get the following equations:


A quick look at this information reveals that the dates created by Stormwaltz in the beta regarding Aluvian history have been retconned. Aluvia was no longer invaded in 804 RC, it was invaded in 704 RC, for example.
{|class="wikitable"
| '''Input (RC)'''
| '''Best Equation'''
| '''Expected Output (PY)'''
| '''Actual Output (PY)'''
|-
| 324 || PY = (3/2) * RC - 1927 || -1441 || -1,441
|-
| 704 || PY = (3/2) * RC - 1925 || -869 || -869
|-
| 765 || PY = (3/2) * RC - 1926.5 || -779 || -779
|-
| 779 || PY = (3/2) * RC - 1926.5 || -758 || -758
|-
| 924 || PY = (3/2) * RC - 1926 || -540 || -540
|-
| 1046 || PY = (3/2) * RC - 1927 || -358 || -358
|}


By examining these dates, another thing is immediately clear: spar years and Auberean years are '''not''' at a 1:1 ratio, they are at a 1:1.5 ratio. For every year that passes on Auberean, one and a half years pass on Ispar, and for every year that passes on Ispar, two-thirds of a year passes on Auberean.
With this method, we can narrow the y-intercept to between -1925 and -1927. However, this is not perfect, because we are only using whole numbers. In actuality, an event could occur at any point in the year, not just the new year's day. So for example, the event that occurred in 324 RC could have occurred anywhere between 324 and 325 RC. And it's corresponding PY could be anywhere between -1440 and -1441 PY.
<br /><br />
That expands the possible equations to the following:
{|class="wikitable"
| '''Input (RC)'''
| '''Equation'''
| '''Output (PY)'''
|-
| 324 || PY = (3/2) * RC - 1926 || -1440
|-
| 325 || PY = (3/2) * RC - 1928.5 || -1441
|-
 
| 704 || PY = (3/2) * RC - 1924 || -868
|-
| 705 || PY = (3/2) * RC - 1926.5 || -869
|-


Upon closer exanimation, one can reach the following formulas for converting between PY and RC:
| 765 || PY = (3/2) * RC - 1925.5 || -778
:RC = (2/3) * PY + 1284
|-
:PY = (3/2) * RC - 1926
| 766 || PY = (3/2) * RC - 1928 || -779
|-


However, If you plug in the dates from the AC:DM CD Lore in these formulas, it won't work. So those dates could also be considered retconned.
| 779 || PY = (3/2) * RC - 1925.5 || -757
|-
| 780 || PY = (3/2) * RC - 1928 || -758
|-


== Conclusion ==
| 924 || PY = (3/2) * RC - 1925 || -539
|-
| 925 || PY = (3/2) * RC - 1927.5 || -540
|-


If you need to convert between Portal Years and Roulean Calendar, use the following formulas:
| 1046 || PY = (3/2) * RC - 1926 || -357
:RC = (2/3) * PY + 1284
|-
:PY = (3/2) * RC - 1926
| 1047 || PY = (3/2) * RC - 1928.5 || -358
|-
|}


Due to the added complexity of not having a 1:1 year conversion, when a text mentions that something occured ''X'' years ago, simply assume they mean that many years on the planet where the event occured.
The only equations which will work will be somewhere between the following:
* PY = (3/2) * RC - 1926
* PY = (3/2) * RC - 1926.5


Example 1: The text [[The Rise and Fall of the Tanada]] states that the Tanada clan arose no more than 500 years ago. This text was discovered in 17 PY. 17 PY would be approximately 1295 RC. Since the event occurred on Ispar, we will subtract 500 from 1295. This puts the approximate date the Tanada clan arose at 795 RC.
We can repeat this entire process with the points in reverse order (e.g. 324, -1441 becomes -1441, 324) to find the equation for converting PY to RC. When all is done, the only equations which will work will be somewhere between the following:
* RC = (2/3) * PY + 1284
* RC = (2/3) * PY + (1284 + (1/3))


Example 2: The lore article [[The Origins and Current Disposition of Viamont]] states that King Varicci di Corcosi launched simultaneous attacks on Roulea and Aluvia 20 years ago. This article was published in 2004, which corresponds to 15 PY. 15 PY would be approximately 1294 RC. Since the event occurred on Ispar, we will subtract 20 from 1294. This puts the approximate date of Varicci's invasions at 1274 RC.
== Conclusion ==
We don't have more information to help narrow down the range, and it would make equal sense for the y-intercept to be a whole number or a decimal. However, with noting else to go on, the simplest path seems like the best choice. Therefore, when calculating dates between the Roulean and Portal Year calendars, use the following equations:
* PY = (3/2) * RC - 1926
* RC = (2/3) * PY + 1284


== References ==
== References ==
<references/>
<references />

Latest revision as of 08:29, 2 October 2018

In early 2003, Turbine released a timeline called The History of Auberean. We are presented with several events, and the year they occurred on both the Portal Year and Roulean calendars:

Portal Year Roulean Year Event
-1441 PY 324 RC Jojiism founded.[1]
-869 PY 704 RC Viamont invades Aluvia. The reign of Pwyll II ends and the reign of Alfric begins.[2]
-779 PY 765 RC Reign of Alfrega begins. Harlune stays behind on Ispar during an expedition.[2]
-758 PY 779 RC Reign of Osric begins.[2]
-540 PY 924 RC Gharu'n armies seige the Roulean capital of Tirethas.[3]
-358 PY 1046 RC Emperor Kou unites the Sho under his rule.[3]

With multiple matching pairs of dates, we can determine the equation to convert between calendars. All we have to do is treat the pairs of dates as coordinates of points, and find the equation for the line that intersects those points. We will determine the equation for each set of points:

Point A Point B Equation
324, -1441 704, -869 PY = (143/95) * RC - (183227/95)
324, -1441 765, -779 PY = (662/441) * RC - (94441/49)
324, -1441 779, -758 PY = (683/455) * RC - (876947/455)
324, -1441 924, -540 PY = (901/600) * RC - (96377/50)
324, -1441 1046, -358 PY = (3/2) * RC - (1927)
704, -869 765, -779 PY = (90/61) * RC - (116369/61)
704, -869 779, -758 PY = (37/25) * RC - (47773/25)
704, -869 924, -540 PY = (329/220) * RC - (9609/5)
704, -869 1046, -358 PY = (511/342) * RC - (328471/171)
765, -779 779, -758 PY = (3/2) * RC - (3853/2)
765, -779 924, -540 PY = (239/159) * RC - (102232/53)
765, -779 1046, -358 PY = (421/281) * RC - (540964/281)
779, -758 924, -540 PY = (218/145) * RC - (279732/145)
779, -758 1046, -358 PY = (400/267) * RC - (513986/267)
924, -540 1046, -358 PY = (91/61) * RC - (117024/61)

If we solve the division within the parentheses, we see these equations are all fairly similar. Below is a table with the equations, where the division has been solved to four decimal places:

Equation is similar to:
PY = (143/95) * RC - (183227/95) PY = (1.5053) * RC - (1928.7053)
PY = (662/441) * RC - (94441/49) PY = (1.5011) * RC - (1927.3673)
PY = (683/455) * RC - (876947/455) PY = (1.5011) * RC - (1927.3560)
PY = (901/600) * RC - (96377/50) PY = (1.5017) * RC - (1927.54)
PY = (3/2) * RC - (1927) PY = (1.5) * RC - (1927)
PY = (90/61) * RC - (116369/61) PY = (1.4754) * RC - (1907.6885)
PY = (37/25) * RC - (47773/25) PY = (1.48) * RC - (1910.92)
PY = (329/220) * RC - (9609/5) PY = (1.4955) * RC - (1921.8)
PY = (511/342) * RC - (328471/171) PY = (1.4942) * RC - (1920.8830)
PY = (3/2) * RC - (3853/2) PY = (1.5) * RC - (1926.5)
PY = (239/159) * RC - (102232/53) PY = (1.5031) * RC - (1928.9057)
PY = (421/281) * RC - (540964/281) PY = (1.4982) * RC - (1925.1388)
PY = (218/145) * RC - (279732/145) PY = (1.5034) * RC - (1929.1862)
PY = (400/267) * RC - (513986/267) PY = (1.4981) * RC - (1925.0412)
PY = (91/61) * RC - (117024/61) PY = (1.4918) * RC - (1918.4262)

One thing is very clear, the slope of all of these equations is very close to 1.5, which we will express as (3/2). Its only the y-intercept that varies. We have determined that the y-intercept is somewhere between around -1,907 and -1,930. One way to further narrow this down is to find the equation that best works for each point, given that the slope is (3/2). If we do so, we get the following equations:

Input (RC) Best Equation Expected Output (PY) Actual Output (PY)
324 PY = (3/2) * RC - 1927 -1441 -1,441
704 PY = (3/2) * RC - 1925 -869 -869
765 PY = (3/2) * RC - 1926.5 -779 -779
779 PY = (3/2) * RC - 1926.5 -758 -758
924 PY = (3/2) * RC - 1926 -540 -540
1046 PY = (3/2) * RC - 1927 -358 -358

With this method, we can narrow the y-intercept to between -1925 and -1927. However, this is not perfect, because we are only using whole numbers. In actuality, an event could occur at any point in the year, not just the new year's day. So for example, the event that occurred in 324 RC could have occurred anywhere between 324 and 325 RC. And it's corresponding PY could be anywhere between -1440 and -1441 PY.

That expands the possible equations to the following:

Input (RC) Equation Output (PY)
324 PY = (3/2) * RC - 1926 -1440
325 PY = (3/2) * RC - 1928.5 -1441
704 PY = (3/2) * RC - 1924 -868
705 PY = (3/2) * RC - 1926.5 -869
765 PY = (3/2) * RC - 1925.5 -778
766 PY = (3/2) * RC - 1928 -779
779 PY = (3/2) * RC - 1925.5 -757
780 PY = (3/2) * RC - 1928 -758
924 PY = (3/2) * RC - 1925 -539
925 PY = (3/2) * RC - 1927.5 -540
1046 PY = (3/2) * RC - 1926 -357
1047 PY = (3/2) * RC - 1928.5 -358

The only equations which will work will be somewhere between the following:

  • PY = (3/2) * RC - 1926
  • PY = (3/2) * RC - 1926.5

We can repeat this entire process with the points in reverse order (e.g. 324, -1441 becomes -1441, 324) to find the equation for converting PY to RC. When all is done, the only equations which will work will be somewhere between the following:

  • RC = (2/3) * PY + 1284
  • RC = (2/3) * PY + (1284 + (1/3))

Conclusion

We don't have more information to help narrow down the range, and it would make equal sense for the y-intercept to be a whole number or a decimal. However, with noting else to go on, the simplest path seems like the best choice. Therefore, when calculating dates between the Roulean and Portal Year calendars, use the following equations:

  • PY = (3/2) * RC - 1926
  • RC = (2/3) * PY + 1284

References

  1. ↑ 2003/03 The History of Auberean/Volume III: The Fall From Grace (-1,804 to -891)
  2. ↑ 2.0 2.1 2.2 2003/03 The History of Auberean/Volume IV: Shifting Ways (-888 to -574)
  3. ↑ 3.0 3.1 2003/03 The History of Auberean/Volume V: New Arrivals (-540 to 13)
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