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TRONVERSE: Time Conversions
Disclaimers
>This is as applies to Legacy-Grid time only. Any speculation about the Encom Grid, or theoretical present conversions, is not included.
>There are three possible rates of conversion from the grid to the user world, ranging from 1:60 to 1:45. They're all valid, and all derive from different starting points for calculation. I will use one of these, and stay consistent with it.
>Calculations below explain derivation and alternate results. The chart comes from those.
>The common units are really all you should be needing. If you want to use dekacycles or centicycles, be my guest, but metric usually cares by thousands.
>The bolded columns are estimates. They're there for general use, because it's easier to think of things without lotsa decimals. Precise values can be found in the appropriate column, and explained below in the calculations
>Precise values for user world comparisons cluttered the table and are therefore left lingering in the calculations. Have fun with them there
Conversion Table:
Time Unit (digital)Rough User Time EquivalentRelative Time Passing in User WorldPrecise User Time EquivalentMetric EquvalenciesCommon UnitsCycle1 year1 week0.913242 years1 cycleMillicycle8 hours10 minutes8 hours0.001 cyclesMicrocycle30 secondshalf a second28.8 seconds1 x 10-6 cyclesNanocycle.03 secondsnegligible0.0288 seconds1 x 10-9 cyclesUncommon UnitsDecicycle1 month18 hours33.3 days0.1 cyclesCenticycle3 days2 hours3.3 days0.01 cyclesDekacycle1 decade2.5 months9.13242 years10 cyclesHectocycle1 century2 years91.3242 years100 cyclesKilocycle1 millennium21 years913.242 years1000 cycles
ANALOG: DIGITAL TIME ESTIMATE: 1:45
This is crucial. Calculations can be found below to support it, but it basically means you can multiply however long passes in the user world by 45 to determine how long went on in-Grid. Or divide by 45 if you want to know how long it took your programs to run around and have adventures from the perspective of someone on the other side of the screen.
Calculations (Table)
Given:
-"...only one millicycle. About eight hours."
=> 1 mc = 8 hrs
-"How long have you been searching for this, Clu? About a thousand cycles? No?"
=> 1000 c (digital) = 21 yr (analog)
First: identify length of cycle
1 mc = 8 hrs
1 c = 1000 mc = 1000 * (8 hrs) = 8000 hr = 333.3 = 0.913242 years
=>One cycle is as long as 0.913242 years, given the same time rate.
Next: identify time conversion ratio (digital/analog)
1000 c (digital) = 21 yr (analog)
1 yr (a) = 1000/21 c (d) = (1000/21*0.913242) yr (d) = 43.487714 yr (d) per yr (a)
=> 43.487714 times as long passes in the digital world as in the analog for any given interval.
NOTE: while all calculations used for this table are done with the precise value, the approximation is listed as 45:1. This is because it is MUCH EASIER to calculate things on the fly with that ratio, and given how much imprecision is in our given values, rounding somewhat is hardly the worst we can do.
Next: calculate other metric values; convert as appropriate to user time.
microcycles: 1 μc = 1/1000 mc = 0.008 hrs = 0.48 minutes = 28.8 seconds
nanocycles: 1 nc = 1/1000 μc = .0288 seconds = 28.8 ms
decicycles: 1 dc = 100 mc = 800 hrs = 33.3 days
centicycles: 1 cc = 10 mc = 80 hrs = 3.3 days
dekacycles: 1 Dc = 10 c = 9.13242 years
hectocycles: 1 hc = 100 c = 91.3242 years
kilocycles: 1 kc = 1000 c = 913.242 years
Next: calculate how long passes in the analog world for each unit in digital time:
(NOTE: Calculations are all "divide by 43.487714". So only a few are shown.)
cycle: 1 c = 0.913242 yr
(0.913242 yr)/43.487714 = 0.021 yr = 7.665 days = approximately 1 week
millicycle: 1 mc = 8 hrs
(8 hrs)/43.487714 = 0.18396 hrs = 11 minutes = approximately 10 minutes
decicycle: 1 dc = 33.3 days
(33.3 days)/43.487714 = 0.7665 days = 18.396 hrs
Disclaimers
>This is as applies to Legacy-Grid time only. Any speculation about the Encom Grid, or theoretical present conversions, is not included.
>There are three possible rates of conversion from the grid to the user world, ranging from 1:60 to 1:45. They're all valid, and all derive from different starting points for calculation. I will use one of these, and stay consistent with it.
>Calculations below explain derivation and alternate results. The chart comes from those.
>The common units are really all you should be needing. If you want to use dekacycles or centicycles, be my guest, but metric usually cares by thousands.
>The bolded columns are estimates. They're there for general use, because it's easier to think of things without lotsa decimals. Precise values can be found in the appropriate column, and explained below in the calculations
>Precise values for user world comparisons cluttered the table and are therefore left lingering in the calculations. Have fun with them there
Conversion Table:
Time Unit (digital)Rough User Time EquivalentRelative Time Passing in User WorldPrecise User Time EquivalentMetric EquvalenciesCommon UnitsCycle1 year1 week0.913242 years1 cycleMillicycle8 hours10 minutes8 hours0.001 cyclesMicrocycle30 secondshalf a second28.8 seconds1 x 10-6 cyclesNanocycle.03 secondsnegligible0.0288 seconds1 x 10-9 cyclesUncommon UnitsDecicycle1 month18 hours33.3 days0.1 cyclesCenticycle3 days2 hours3.3 days0.01 cyclesDekacycle1 decade2.5 months9.13242 years10 cyclesHectocycle1 century2 years91.3242 years100 cyclesKilocycle1 millennium21 years913.242 years1000 cycles
ANALOG: DIGITAL TIME ESTIMATE: 1:45
This is crucial. Calculations can be found below to support it, but it basically means you can multiply however long passes in the user world by 45 to determine how long went on in-Grid. Or divide by 45 if you want to know how long it took your programs to run around and have adventures from the perspective of someone on the other side of the screen.
Calculations (Table)
Given:
-"...only one millicycle. About eight hours."
=> 1 mc = 8 hrs
-"How long have you been searching for this, Clu? About a thousand cycles? No?"
=> 1000 c (digital) = 21 yr (analog)
First: identify length of cycle
1 mc = 8 hrs
1 c = 1000 mc = 1000 * (8 hrs) = 8000 hr = 333.3 = 0.913242 years
=>One cycle is as long as 0.913242 years, given the same time rate.
Next: identify time conversion ratio (digital/analog)
1000 c (digital) = 21 yr (analog)
1 yr (a) = 1000/21 c (d) = (1000/21*0.913242) yr (d) = 43.487714 yr (d) per yr (a)
=> 43.487714 times as long passes in the digital world as in the analog for any given interval.
NOTE: while all calculations used for this table are done with the precise value, the approximation is listed as 45:1. This is because it is MUCH EASIER to calculate things on the fly with that ratio, and given how much imprecision is in our given values, rounding somewhat is hardly the worst we can do.
Next: calculate other metric values; convert as appropriate to user time.
microcycles: 1 μc = 1/1000 mc = 0.008 hrs = 0.48 minutes = 28.8 seconds
nanocycles: 1 nc = 1/1000 μc = .0288 seconds = 28.8 ms
decicycles: 1 dc = 100 mc = 800 hrs = 33.3 days
centicycles: 1 cc = 10 mc = 80 hrs = 3.3 days
dekacycles: 1 Dc = 10 c = 9.13242 years
hectocycles: 1 hc = 100 c = 91.3242 years
kilocycles: 1 kc = 1000 c = 913.242 years
Next: calculate how long passes in the analog world for each unit in digital time:
(NOTE: Calculations are all "divide by 43.487714". So only a few are shown.)
cycle: 1 c = 0.913242 yr
(0.913242 yr)/43.487714 = 0.021 yr = 7.665 days = approximately 1 week
millicycle: 1 mc = 8 hrs
(8 hrs)/43.487714 = 0.18396 hrs = 11 minutes = approximately 10 minutes
decicycle: 1 dc = 33.3 days
(33.3 days)/43.487714 = 0.7665 days = 18.396 hrs