Custom Time Units

This is based off of metric time.

If you didn't know there was metric time, allow me to briefly show you what that is.

A metric day is split up into 10 hours. Standard days are split into 24 hours.

Each metric hour is split into 100 minutes. Standard hours are split into 60 minutes.

Each metric minute is split into 100 seconds. Standard minutes are split into 60 seconds.

You can see the time comparison between metric time and standard time in here.

Phew, how's that for a quick summary? But why am I telling you this? Well, this is crucial to understand why I even made my own time units to begin with. There is something here that didn't feel "metric" enough, and that's the length of a second. See, a second (taken from Wikipedia) is defined as 9,192,631,770 periods of the ground-state hyperfine transitions of caesium-133. As an abbreviation, that's 9,192,631,770 oscillations long. This is how we know our seconds and, by extension, all our standard time units. But in a metric mindset, this does not feel metric enough. So, instead of just making a separate definition for the time units and causing a huge amount of confusion, I made separate versions of the units with my proposed lengths.

Enter Cession. These are created to equal exactly 10,000,000,000 oscillations, making them approximately 1.087% longer than seconds. The length difference isn't immediately obvious until experienced, which isn't entirely possible right now so just know that cessions are slightly longer than seconds. Don't confuse "cession" with "session." The symbol for cession is ċ.

The "minute" equivalent to this is called a centession. There are exactly 100 cessions in a centession, given how similar in name and nature they both are. Centessions, in oscillation count, are exactly 1 trillion oscillations long. The symbol for centession is ċe.

The "hour" equivalent is called a myression. Just like the previously established centession, there are exactly 100 centessions in a myression, continuing the name trend. Like with normal metric time, there is no "AM" or "PM" system here. Myressions, in oscillation count, are exactly 100 trillion oscillations long. The symbol for myression is ṁ.

The way to denote the time format with these three units is actually similar to the metric time, but instead of a colon, we use a small filled-in circle (•) between the units. An example is 4•17•85, which is 4 myressions, 17 centessions, and 85 cessions. The 2 left-hand units can still be pronounced as "four seventeen," for example, just like the standard time.

I would like to note that there are illusionary units that appear if the myression is equal to or above and/or the myressions-per-metrod number is larger than 100 in XMYDZ. If x in XMYDZ is above 100, the time will, by default, appear as 0•00•00•00, with the 4th set at the very front representing a unit that continues the trend of the time units containing 100 of a previous unit. It is only here to visually make it easier to read larger time lengths. A new illusionary unit appears every 2nd power of 10 like 100 (10↑2), 10,000 (10↑4), 1 million (10↑6), 100 million (10↑8), 10 billion (10↑10), 1 trillion (10↑12), 100 trillion (10↑14), etc. etc.

To pronounce this, just continue the pattern like you would with just myression and centession, so 2•17•08•00 would be pronounced as "two seventeen 'o eight." For examples like 7•00•01•00, 4•21•03•20, and 11•21•00•01, the first example is pronounced as "seven zero o' one," so the zero is pronounced if both those digits are, well, zero; the second example ignores the cession so it's silent, so that is pronounced as "four twenty-one o' three," and the third example is pronounced as "eleven twenty-one zero," following the rule the first example had.

Now we're moving into differently named units past myressions, which are actually variable and have a default if no desirable length is chosen.

The first variable unit is called a metrod and it's the "day" equivalent. By default, a metrod contains 10 myressions, following the trend the normal metric time had, but this is the first unit where, for sandboxing, it can be modified to have as many myressions as you want. The symbol for metrod is Ɱ.

For reference, for the default metrod length, you would need approximately 30.21743 standard hours to match the default length of a metrod.

There are three units that have a group of metrods in them. These are decanates, hectanates, and chilinates, which are 10 metrods, 100 metrods, and 1,000 metrods respectively. The symbols for these are DⱮ, HⱮ, and CⱮ, respectively.

The next variable unit is called a vector and it's the "month" equivalent. By default, a vector contains 30 metrods, but for sandboxing, it can be modified to have as many metrods as you want. The symbol for vector is Vr.

The next variable unit is called an amnet and it's the "year" equivalent. By default, an amnet contains 12 vectors, but for sandboxing, it can be modified to have as many vectors as you want. The symbol for amnet is An.

The notation for denoting these two variable units is known as XDY. X means how many metrods in a vector, and Y means how many vectors per amnet. So, for example, the default is written as 30D12, meaning 30 metrods per vector and 12 vectors per amnet. When writing the full metric date, this is put at the end with square brackets, so, using the numerical month names found in Custom Month Names, an example would be 1st Monober 2000 PM [30D12].

Let's talk more about that full date for a second. What's with the PM after the amnet? Well, there isn't just a post-epoch system here, but there's also a before-epoch system as well. First, the epoch starts at 1st January 1 CE, which is at 1st Monober 0 PM [anyDany]. For PM amnets, the number is equal to or above zero, and for AM amnets, the number is below zero. PM stands for Post-Metric and AM stands for Ante-Metric.

Now for the "groups" of amnets words. For 10 amnets, it's called a denont with the symbol Dn. For 100 amnets, it's called a centicle with the symbol Ct. For 1,000 amnets, it's called a Millenet with the symbol Ml. For 1,000,000 amnets, it's called a Meganet with the symbol Mn. This trend continues all the way to a Quettanet (Qn).

Now, this is all cool and all, and yes, I think I did a good job on this system. HOWEVER, how come this page is in the googology garage? Well, this all comes down to an entirely different tier of time units I also baked up in conjunction with the normal time unit system. This system is based on zillions of oscillations and is pretty similar to Hyper-E notation. And this was pretty accidental too, which is what sparked having multiple renames of some of these units.

Anyway, the starting point is xỿ#y. "y" means "yth zillion," the unit it is based on, and "x" is the starting digit of the number. To put it in a better picture, 1ỿ#4 is 1 quadrillion oscillations long, 1ỿ#5 is 1 quintillion oscillations long, etc. The naming of these units is pretty similar to how the zillions are named. 1ỿ#1 is called a monomyre, 1ỿ#2 is called a bimyre, 1ỿ#3 is called a trimyre, ...

1ỿ#4 is a quadmyre

1ỿ#5 is a quinmyre

1ỿ#6 is a sexmyre

1ỿ#7 is a septmyre

1ỿ#8 is a octmyre

1ỿ#9 is a nonmyre

1ỿ#10 is a decmyre

1ỿ#11 is a undecmyre

1ỿ#15 is a quindecmyre

1ỿ#18 is a octodecmyre and is longer than a quettaannum, which is currently the largest SI-prefix named "-annum."

1ỿ#20 is a viginmyre

1ỿ#30 is a triginmyre

1ỿ#40 is a quadraginmyre

1ỿ#50 is a quinquaginmyre

1ỿ#60 is a sexaginmyre

1ỿ#70 is a septuaginmyre

1ỿ#80 is a octoginmyre

1ỿ#90 is a nonaginmyre

1ỿ#100 is a centmyre

1ỿ#200 is a ducentmyre

1ỿ#300 is a trecentmyre

1ỿ#400 is a quadringenmyre

1ỿ#500 is a quingenmyre

1ỿ#600 is a sescentmyre

1ỿ#700 is a septingenmyre

1ỿ#800 is a octingenmyre

1ỿ#900 is a nongenmyre

and 1ỿ#999, which is the cap for the y, is a novemnonagintanongenmyre. Yes, other than the modification at the end to compensate for the "myre" suffix, the tier 1 zillion pattern does, in fact, apply here. Just like the normal time units, you can pronounce, say, 2ỿ#8 as two octmyres. To combine the different scaled units, simply add a plus sign between, say, 17ỿ#10+210ỿ#7, which is pronounced as "17 decmyres plus 210 septmyres." Also, 1ỿ#0 is a nullmyre and is a thousand oscillations long, comparable to literal milliseconds or even microseconds.

So, what's the deal with 1ỿ#1,000? Well, this is where multiple hashtags between numbers come into play. 1ỿ#1,000 is equal to 1ỿ#1#2 and this is where the "x" gets modified to the thousand from an earlier stage. Now, obviously you can continue past 1ỿ#1,000 without needing to go into 1ỿ#y#2 so you can have that level of precision, but just for increasing substantially faster, let's go over what's modified past this.

The "#2" part adds a new suffix to the naming convention. You know those polymino prefixes that make tetrominoes, pentominoes, etc.? Well, they're added as a suffix here instead. 1ỿ#1#2 is called a monomyredo, 1ỿ#1#3 is called a monomyretro, etc. The "x" and "y" from earlier are recycled back to monomyre and continue the cycle. Two monomyredos, which is 2ỿ#1#2, does not mean 2 millillion oscillations, but instead a duomillillion/dumillillion oscillations.

That's because 2ỿ#1#2 is equal to 1ỿ#2,000. xỿ#1#2 equals 1ỿ#x,000. And yes, 1,000ỿ#1#2 does condense into 1ỿ#2#2, which repeats the naming convention from earlier.

So this makes the following xỿ#y#z names:

1ỿ#1#2 is a monomyredo [z(1, 2)]

1ỿ#1#3 is a monomyretro [z(1, 3)]

1ỿ#1#4 is a monomyretetro [z(1, 4)]

1ỿ#1#5 is a monomyrepento [z(1, 5)]

1ỿ#1#6 is a monomyrehexo [z(1, 6)]

1ỿ#1#7 is a monomyrehepto [z(1, 7)]

1ỿ#1#8 is a monomyreocto [z(1, 8)]

1ỿ#1#9 is a monomyreenno [z(1, 9)]

1ỿ#1#10 is a monomyredeco [z(1, 10)]

1ỿ#1#11 is a monomyrehendeco [z(1, 11)]

1ỿ#1#12 is a monomyredodeco [z(1, 12)]

1ỿ#1#15 is a monomyrepentadeco [z(1, 15)]

1ỿ#1#20 is a monomyreicoso [z(1, 20)]

1ỿ#1#30 is a monomyretriaconto [z(1, 30)]

1ỿ#1#40 is a monomyretetraconto [z(1, 40)]

1ỿ#1#50 is a monomyrepentaconto [z(1, 50)]

1ỿ#1#60 is a monomyrehexaconto [z(1, 60)]

1ỿ#1#70 is a monomyreheptaconto [z(1, 70)]

1ỿ#1#80 is a monomyreoctaconto [z(1, 80)]

1ỿ#1#90 is a monomyreennaconto [z(1, 90)]

1ỿ#1#100 is a monomyrehecto [z(1, 100)]

1ỿ#1#200 is a monomyredohecto [z(1, 200)]

1ỿ#1#300 is a monomyretriahecto [z(1, 300)]

1ỿ#1#400 is a monomyretetrahecto [z(1, 400)]

1ỿ#1#500 is a monomyrepentahecto [z(1, 500)]

1ỿ#1#600 is a monomyrehexahecto [z(1, 600)]

1ỿ#1#700 is a monomyreheptahecto [z(1, 700)]

1ỿ#1#800 is a monomyreoctahecto [z(1, 800)]

1ỿ#1#900 is a monomyreennahecto [z(1, 900)]

and 1ỿ#1#999 is a monomyreenneennacontaennahecto [z(1, 999)]. For simplicity, you can write that out as monomyre-999-to. The same can be said about the previous stage, so that makes 1ỿ#999 999-myre as well. We are well beyond all currently named googological time units at this point. Crazy, right?

Now we enter three hashtags between numbers, starting at 1ỿ#1#1#2, which equals 1ỿ#1#1,000. The same nesting property from 1ỿ#1#2 also applies to every new hashtag we reach. 2ỿ#1#1#2 is equal to 1ỿ#1#2,000. This is where a new tiered number suffix enters the scene. The previous tier is always present, but the higher tiers like this don't have to have a 1st suffix always applied.

1ỿ#1#1#2 is a monomyrebusmono

1ỿ#1#1#3 is a monomyretrusmono

1ỿ#1#1#4 is a monomyretetrusmono

1ỿ#1#1#5 is a monomyrepentusmono

1ỿ#1#1#6 is a monomyrehexusmono

1ỿ#1#1#7 is a monomyreheptusmono

1ỿ#1#1#8 is a monomyreoctusmono

1ỿ#1#1#9 is a monomyreentusmono

1ỿ#1#1#10 is a monomyredecosmono

1ỿ#1#1#11 is a monomyrehendecosmono

1ỿ#1#1#20 is a monomyreicososmono

1ỿ#1#1#30 is a monomyretriacontosmono

1ỿ#1#1#40 is a monomyretetracontosmono

1ỿ#1#1#50 is a monomyrepentacontosmono

1ỿ#1#1#60 is a monomyrehexacontosmono

1ỿ#1#1#70 is a monomyreheptacontosmono

1ỿ#1#1#80 is a monomyreoctacontosmono

1ỿ#1#1#90 is a monomyreennacontosmono

1ỿ#1#1#100 is a monomyrehectosmono

This continues the suffix trend all the way to 1ỿ#1#1#999.

And naturally, the next step is four hashtags at 1ỿ#1#1#1#2. Now we have numbered suffixes to continue this pattern. For here, we have "qua," and the same latin prefixes are placed on the left of this suffix but modified.

1ỿ#1#1#1#2 is a monomyrequamono

1ỿ#1#1#1#3 is a monomyredoquamono

1ỿ#1#1#1#4 is a monomyretesquamono

1ỿ#1#1#1#5 is a monomyreposquamono

1ỿ#1#1#1#6 is a monomyrehexquamono

1ỿ#1#1#1#7 is a monomyreheptquamono

1ỿ#1#1#1#8 is a monomyreoctquamono

1ỿ#1#1#1#9 is a monomyreennquamono

1ỿ#1#1#1#10 is a monomyredecquamono

1ỿ#1#1#1#11 is a monomyrehendecquamono

1ỿ#1#1#1#20 is a monomyreicosquamono

1ỿ#1#1#1#30 is a monomyretriaconquamono

1ỿ#1#1#1#100 is a monomyrehectquamono

And here's the next tier in this hierarchy. We can build a tower of hashtags based on the suffix number, like this.

5ỿ##1 is five monobyres and is 1ỿ#1#1#1#1#2, which is monomyrequiltmono

6ỿ##1 is six monobyres and is 1ỿ#1#1#1#1#1#2, which is monomyresesunmono

7ỿ##1 is seven monobyres and is 1ỿ#1#1#1#1#1#1#2, which is monomyreseptunmono

8ỿ##1 is eight monobyres and is monomyreoctunmono

9ỿ##1 is nine monobyres and is monomyrenonunmono

10ỿ##1 is ten monobyres and is monomyredecunmono

11ỿ##1 is eleven monobyres and is monomyreundecunmono

20ỿ##1 is twenty monobyres and is monomyrevigintunmono

30ỿ##1 is thirty monobyres and is monomyretrigintunmono

40ỿ##1 is forty monobyres and is monomyrequadragintunmono

50ỿ##1 is fifty monobyres and is monomyrequinquagintunmono

60ỿ##1 is sixty monobyres and is monomyresexagintunmono

70ỿ##1 is seventy monobyres and is monomyreseptuagintunmono

80ỿ##1 is eighty monobyres and is monomyreoctogintunmono

90ỿ##1 is ninety monobyres and is monomyrenonagintunmono

100ỿ##1 is one hundred monobyres and is monomyrecentunmono

200ỿ##1 is two hundred monobyres and is monomyreducentunmono

300ỿ##1 is three hundred monobyres and is monomyretrecentunmono

400ỿ##1 is four hundred monobyres and is monomyrequadringentunmono

500ỿ##1 is five hundred monobyres and is monomyrequingentunmono

600ỿ##1 is six hundred monobyres and is monomyresescentunmono

700ỿ##1 is seven hundred monobyres and is monomyreseptingentunmono

800ỿ##1 is eight hundred monobyres and is monomyreoctingentunmono

900ỿ##1 is nine hundred monobyres and is monomyrenongentunmono

And then we land on 1ỿ#1##1, which is called a monomyebyre and is equal to 1,000ỿ##1. In other words, we're at a thousand hashtags between numbers! And we're now incrementing on the third entry of bower's exploding array function.

Now, what we encountered up until here is applicable here as well, outside of the "myre" part not having the r in the suffix. Once we get through the multiple hashtags again...

3ỿ##2 is three bibyres at 1ỿ#1#1#2##1

4ỿ##2 is four bibyres at 1ỿ#1#1#1#2##1

5ỿ##2 is five bibyres at 1ỿ#1#1#1#1#2##1

10ỿ##2 is ten bibyres at 1ỿ#1#1#1#1#1#1#1#1#1#2##1

etc.

And when we get to 1ỿ#1##2, the "bibyre" and, well, beyond that, the whole thing is kept, whereas when we were at 1ỿ#1##1, the "monobyre" was condensed to just "byre." Hope that made some sense to you. We are also in the ≈{10, 1000, 1, 2} / 10{{1}}1,000 area now.

Since we know while looking at the pattern that 1ỿ##n is, in fact, 1ỿ#1##(n-1), the next part won't break down since now we're going up to 1ỿ##1#2, which is 1ỿ##1,000.

This is named a monobyremontodo since monobyredo is reserved for 1ỿ##1##2.

eee

currently not reached:

3ỿ###1 = 1ỿ##1##1##2 (three tryres)

3ỿ###2 = 1ỿ##1##1##2###1 (three bitryres)

3ỿ####1 = 1ỿ###1###1###2 (three quadynres)

3ỿ#####1 = 1ỿ####1####1####2 (three quintyres)

3ỿ######1 = 1ỿ#####1#####1#####2 (three sestyres)

3ỿ#:7,1 = 1ỿ######1######1######2 (three septyres)

3ỿ#:8,1 = 1ỿ#:7,1#:7,1#:7,2 (three octyres / eight polyres - 8ỿ#:#,1 = 1ỿ#:8,1)

3ỿ#:9,1 = 1ỿ#:8,1#:8,1#:8,2 (three nonyres / nine polyres - 9ỿ#:#,1 = 1ỿ#:9,1)

3ỿ#:10,1 = 1ỿ#:9,1#:9,1#:9,2 (three decyres / ten polyres - 10ỿ#:#,1 = 1ỿ#:10,1)

3ỿ#:11,1 = 1ỿ#:10,1#:10,1#:10,2 (three undecyres / eleven polyres - 11ỿ#:#,1 = 1ỿ#:11,1)

3ỿ#:20,1 = 1ỿ#:19,1#:19,1#:19,2 (three vigintyres / twenty polyres - 20ỿ#:#,1 = 1ỿ#:20,1)

3ỿ#:30,1 = 1ỿ#:29,1#:29,1#:29,2 (three trigintyres / thirty polyres - 30ỿ#:#,1 = 1ỿ#:30,1)

3ỿ#:100,1 = 1ỿ#:99,1#:99,1#:99,2 (three centyres / hundred polyres - 100ỿ#:#,1 = 1ỿ#:100,1)

1ỿ#1#:#,1 (monomyepolyres) = 1,000ỿ#:#,1 = 1ỿ#:1000,1

2ỿ#1#:#,1 (two monomyepolyres) = 2,000ỿ#:#,1 = 1ỿ#:2000,1

1ỿ#2#:#,1 (bimyepolyres) = 1,000,000ỿ#:#,1 = 1ỿ#:1000000,1

1ỿ#1#2#:#,1 = 1ỿ#1,000#:#,1

5ỿ##1#:#,1 (five monobyepolyres) = 1ỿ#1#1#1#1#2#:#,1

1ỿ#1##1#:#,1 (monomyebyepolyres) = 1,000ỿ##1#:#,1

3ỿ###1#:#,1 (three tryepolyres) = 1ỿ##1##1##2#:#,1

3ỿ#:4,1#:#,1 (three quadynepolyres) = 3ỿ####1#:#,1 = 1ỿ###1###1###2#:#,1

10ỿ#:#,2 (ten bipolyres) = 1ỿ#:10,1#:#,1 = 1ỿ##########1#:#,1

10ỿ#:#,3 (ten tripolyres) = 1ỿ#:10,1#:#,2 = 1ỿ##########1#:#,2

1ỿ#:#,1#2 = 1ỿ#:#,1000

3ỿ#:#,1##1 = 1ỿ#:#,1#1#1#2

3ỿ#:#,1###1 = 1ỿ#:#,1##1##1##2

3ỿ#:#,1#:4,1 = 1ỿ#:#,1###1###1###2

1ỿ#1#:#,1#:#,1 = 1ỿ#:#,1#:1000,1

3ỿ#:#1,1 = 1ỿ#:#,1#:#,1#:#,1

3ỿ#:#2,1 = 1ỿ#:#1,1#:#1,1#:#1,1

1ỿ#1#:##,1 = 1ỿ#:#1000,1

10ỿ#:#:#,1 = 1ỿ#:##########,1 = 1ỿ#:#:10,1 | 1ỿ#:#:#,1 = 1ỿ#::3,1 = 3ỿ#::#,1

Are MQGA colon functions applicable here?