Valerian Argam Extension and Variants

## Valerian Extension & Alternate Numberforms

Four numbers (decimal 139, 151, 157 and 164) received Valerian-derived canonical numerals on June 5th 2021.

## Information

### Name origin/meaning

Valerian forms: Named after *Valerie*, the first name of Dozenalism's hypothetical younger sister, which derives from *valentine*. "Miss Valerie's Numerals"

### Other names

Argam-Valerie, Valerie Kinsoval Argam, "Amaya's Numerals"

### Usage

Alternate numberforms to simplify canonical argam numerals and to extend the set to cover base 5,040

### Number of symbols

>5,460, with the majority of the first 480 agreeing with canonical argam

### Typefaces

To be confirmed

The **Valerian Argam**, or sometimes **Argam-Valerie**, is Dozenalism's variant on the Argam numerals. It aims to simplify canonical Argam and to further extend the numeral set. It currently covers 5,460 numerals.

## Valerian Alternate Numberforms

Formerly "Amarian" numberforms, are other numberform ideas that aren't currently "Valerian-Canon", though they are still considered part of "Valerian", since they serve as alternate forms. They are also important, as daughter numberforms (i.e. multiples) of certain numbers can be based on Amarian forms if the Amarian form combines better with new radicals/parts better than the Valerian or canonical forms do.

## Name origins

**Valerian** is named after *Valerie*, Dozenalism's fictitious younger sister, which he always desired but never had. Her name derives from *valentine* and *valkyrie*. "Valerian" is also used in Dozenalism's other work.

**Amarian** is named after *Amaya*, Dozenalism's longest-lasting crush, and who the Valerian numberforms are dedicated to. "*Amaya*" is not her real name; it is only a name used when writing about her as he wasn't fond of her first name, as well as that his crushes are never to be disclosed. He ended up sacrificing the chance to get to possibly date her for in exchange for something else he desired, and so for that he wanted to honor her in as part of "Valerian" as she was someone who sure has great aesthetics, taught him a lot about life, and it's also fitting that the Amarian forms are numberforms he likes because of aesthetic but "sacrified". She is also the namesake of digit-2,063 and its multiples as well as several larger primes.

## History

The Valerian forms started in 2020 when Dozenalism was producing an ultrabold argam font (nicknamed "*Florence*", after a girl he knew at the time and also from *Firenze*) and realized that Digit-135 "kintrine" could not be produced with this font weight. The numeral could not fit into the numeral box due to the amount of elements going horizontally, and therefore needed change as he did not want to scrap the font. The numeral was changed to a combination of 5 and trine () to make , the first Valerian canonical numeral devised that differered from the current Icarine-canon. This numeral was later weathered, omitting the "neck" of the numeral.

Through time, better combinations for numerals were discovered and they started to supplant the "canon" as in Vinci Argam Mono. Most were changed throughout the production of *Amaya Argam*, (late 2020 to early 2021) though some have been changed at later dates.

On June 5th 2021, four Valerian-canon forms (Digits 139 "selene", 151 "krypt", 157 "rube" and 164 "calume") became the first numerals not devised by De Vlieger to be Icarine-canon.

The production of a replica of Vinci Argam Mono originally intended as a tool to keep track of numberforms began in June 2021. Over the course of 42 days since July 30, 2021 (which was the new "shatun" (units of 602 days of Dozenalism's *Aenorian* calendar), Dozenalism streamed his initial production of the argam extension from 2,520 to 5,040 numerals on Discord for two hours daily, with an aim sixty glyphs (numerals) per stream. Argam-5040 was first completed on September 8, 2021, though a re-production is planned in 2023 due to the prime scheme reform and introduction of new radicals allowing the simplification of many numerals.

As of now, the Valerian-canon numerals up to 360 are mostly stable; only three numerals were changed for the past 12 months. Numerals up to 720 are expected to be stable.

## Numerals supported

Currently, the argam for the following numbers have been developed or planned: (a red ⦻ indicates that not all numerals in the category are supported in the Valerian argam typeface due to complexity, though they all appear in handwritten work)

highly composite numbers up to 321,253,732,800 ⦻

* Multiples of superior highly composite numbers (Numbers in the form

x
y

{\displaystyle xy}

 where

x
≤
23

{\displaystyle x\leq 23}

 and

y

{\displaystyle y}

 is superior highly composite up to 1,441,440)
* Powers of 2 and 3, up to the 20th power
* Powers of 5, 6 and 7, up to the 8th power
* Powers of 10, 11, 12, 13 up to the 6th power
* Powers of primes in the range

17
≤
x
≤
61

{\displaystyle 17\leq x\leq 61}

 up to the 3rd power
* Integers in the form

2

x

⋅
n

{\displaystyle 2^{x}\cdot n}

, for

0
≤
x
≤
10

{\displaystyle 0\leq x\leq 10}

 and odd

y
≤
37

{\displaystyle y\leq 37}
* Integers in the form

2

x

⋅

3

y

{\displaystyle 2^{x}\cdot 3^{y}}

, for

0
≤
x
≤
8

{\displaystyle 0\leq x\leq 8}

 and

0
≤
y
≤
6

{\displaystyle 0\leq y\leq 6}
* Integers in the form

2

x

⋅

3

y

⋅
5

{\displaystyle 2^{x}\cdot 3^{y}\cdot 5}

, for

0
≤
x
≤
6

{\displaystyle 0\leq x\leq 6}

 and

0
≤
y
≤
5

{\displaystyle 0\leq y\leq 5}
* Integers in the form

2

x

⋅

3

y

⋅
7

{\displaystyle 2^{x}\cdot 3^{y}\cdot 7}

, for

0
≤
x
≤
6

{\displaystyle 0\leq x\leq 6}

 and

0
≤
y
≤
5

{\displaystyle 0\leq y\leq 5}
* Integers in the form

2

x

⋅

3

y

⋅
5
⋅
7

{\displaystyle 2^{x}\cdot 3^{y}\cdot 5\cdot 7}

, for

0
≤
x
≤
5

{\displaystyle 0\leq x\leq 5}

 and

0
≤
y
≤
4

{\displaystyle 0\leq y\leq 4}
* Integers in the form

2

x

⋅

3

y

⋅
5
⋅
11

{\displaystyle 2^{x}\cdot 3^{y}\cdot 5\cdot 11}

, for

0
≤
x
≤
5

{\displaystyle 0\leq x\leq 5}

 and

0
≤
y
≤
4

{\displaystyle 0\leq y\leq 4}
* Integers in the form

2

x

⋅

3

y

⋅
5
⋅
7
⋅
11

{\displaystyle 2^{x}\cdot 3^{y}\cdot 5\cdot 7\cdot 11}

, for

0
≤
x
≤
5

{\displaystyle 0\leq x\leq 5}

 and

0
≤
y
≤
4

{\displaystyle 0\leq y\leq 4}
* Multiples of selected large prime numbers, and some numbers of arbitrary choice

The Valerian forms currently bring the numeral set up to 5,460 numerals. (Many are to be reformed) The prime numbers ranging from 653 to 1,259 are mostly arbitrary, some based on the numeral proposal on EX515 Wiki, and primes from 1,260 to 3,600 are named after Dozenalism's family, friends and people he wanted to honor in his variant of Argam. Real names of people are never disclosed. The prime numerals beyond that may still experience heavy modification.

## Transelemental Prime Numerals

> I named the larger prime numerals in Valerian Argam-Kinsevoctove after people I've met thoughout my life growing up as a form of gratitude as many of them have helped me thoughout difficult times and also as a constant reminder of those who have shaped me as who I am today. It's a shame that I no longer know many of them, but I'm sure they're doing well, and I'm really honoured to have met them throughout my journey. As someone obsessed with numbers from a young age, the choice of naming numbers after each person is extremely special; as it combines the two things I am most fond of.
>
> Dozenalism

In Valerian, the "transelemental" prime numerals are currently named as follows:

Most numerals from digit-653 to digit-1,259 inclusive are named by their mathematical properties, cultural references or its prime signature, inspired by the prefixes proposed on the "Day Water Gravity Spreadsheet" forum on DozensOnline.

The vast majority of the prime numbers of the range 1,260 through 2,520 are named after people Dozenalism knows in real life. The ismarragam comes from mutating their real names (or other aliases) into numeral-sounding names that do not conflict with any other. Their symbols are mostly based on other two-letter combinations that were not used for chemical elements. Therefore, if heavier elements are discovered, some prime numerals may have to be modified to accommodate the original idea of "primes-to-elements".

The "prime scheme" was believed to originate from the proposal as seen in the "EX515 Wiki", where the prime numerals are named after famous scientists, mathematicians and philosophers as from a "fanmade" extended periodic table. The naming of prime numerals after individuals Dozenalism knows in person is inspired by that certain numeral names from the EX515 wiki echoes given names of people Dozenalism knows. It is also that at the time of production Dozenalism wanted to honor his work after those people knowing that many of those people he will no longer know. The numerals in Beta block based of the numerals from the EX515 wiki were discarded in 2022 as part of Dozenalism's planned reform on the numeral set.

The current ideas for Valerian-canon prime ismarragam and symbols can be seen here though they are not considered "final".

### Extension to sevoctovess and beyond

Due to an insufficient number of usable two-letter combinations, new "invented" letters are added in as well as arbitrary numberforms that are not associated with any combinations with letters.

Due to Valerian forms were originally planned to only cover up to 2,520 numerals, the prime numerals beyond 2,520 were originally based on a combination of the names from "Paul Marciano Wiki", which had ismarragam named after countries of the world and US states, and some of Dozenalism's rejected names for Argam-2520. After the initial completion of Argam-5,040, the primes from 2,520 up to 3,600 were changed to name after another group of "less significant" people Dozenalism knows. The original names were hence moved to a higher range, with a few being discarded due to them conflicting with the new names. Currently there are numerals for primes up to 6,000 and ismarragam up to 10,800.

The prime scheme is still under development and suggestion for large prime names are currently being accepted. See a list of prime numerals that are open to suggestions.

## Updates and current plans

See an update log that records any changes made to the numeral set.

Plans for Valerian-canonical argam, as of November 25, 2022 are as follows:

* New radicals: Radicals for prime numbers and complex-looking composite numerals will receive radicals to simplify daughter numerals. Several radicals and numberforms are based on other scripts, such as Cyrillic, Japanese and MBearphabet (an extended Latin conscript by ThatGuy30722), as well as numeral proposals such as Recset and MBeargam.

## Gallery

### Current Valerian-canonical work

An argam extension of Latin Modern Roman 10, intended for De Vlieger's Argam Project (2022 onwards). Shows current canonical numberforms for numbers up to digit-540 "exovess", which the vast majority has been stable. Font has been extended to 720 numerals since.
### Amaya Argam

*Amaya Argam* was the first major argam font Dozenalism produced. Production started in 2020 and many numerals were completed over the course of several months until the abandonment of the font due to numeral reforms and Dozenalism's access to new software and tools. The font featured many new numberforms not shown in De Vlieger's work and is considered as the "pioneer" of Valerian-canonical work. As many numberforms have been weathered or simplified over time, **most numberforms in *Amaya Argam* are no longer considered Valerian-canon.**

*Amaya Argam* viewed in FontLab 7. The original font was produced in 2020 by assembling shapes in Algodoo then bitmapping and converting into a font in Inkscape. The font also included numerals from *Argam Arimaxa* as well as "stacked decimal" numerals.*Amaya Argam*, which was extended to 720 numerals in late 2020. The font was initially planned to be extended to 2,520 numerals, but was later cancelled as the font weight is too thick to support some numerals in the higher range, and that over time I had switched to better software. Note many numbers have received simpler numberforms and some transelemental prime numerals have been changed.Part 3 of *Amaya Argam*, for numbers that have been produced.Part 4 of *Amaya Argam*, for numbers that have been produced.Part 5 of *Amaya Argam*, for numbers that have been produced.Part 6 of *Amaya Argam*, for numbers that have been produced. The prime numerals in the Junirine block (digits 1,260 through 2,519, the second half of Argam-Kinsevoctove) mostly stayed the same.Part 7 of *Amaya Argam*, for numbers that have been produced.Part 8 of *Amaya Argam*, for numbers that have been produced.Part 9 of *Amaya Argam*, for numbers that have been produced.Part 10 of *Amaya Argam*, for numbers that have been produced.

Pages about Argam numerals

Numeral Sets