Numerical System of Raqqos

The Numerical System of Raqqos, also known as Shir'is Horaba "Horaba Counting" is the traditional counting system or Raqqos. It was the historical counting system of the Ankhosian Empire. 
== The Horaba and its denominations ==
The Raqqosian numerical system is a mixed-radix numerical system used for describing a unit named the "Horaba", which is equivalent to the number 373,248,000. The Horaba is broken down into six denominations, which form the basis of the Raqqosian numerical system. 
The radix of these denominations alternates between base 12 and base 60. Each numerical representation is expressed using a sequence of units that are each a multiple of the next smaller one, but not by the same factor.
Radix 	∞ 	12 	60 	12 	60 	12 	60
Denomination	Horaba (H) 	Sindar (D)	Safir (S)	Malin (M)	Qidir (Q)	Bejel (B)	Alin (L)
Place Value 	373,248,000	31,104,000	518,400 	43,200 	720 	60 	1
For example, the number 31,103,280 would be written as 59518,4001143,200597201160591 . This can otherwise be expressed as 59Sindar11Malin59Qidir11Bejel59Alin.
== Written Notation ==
The Raqqosian numerical system comprises of two notation systems, the Mina'shiri and the Ba'Shiri notations.
=== Mina'shiri notation system ===
The Mina'shiri ("wage count") notation denotes the denominations of the Horaba. It is written using the characters H, D, S, M, Q, B and A. It is common in modern notation to underline these characters, for ease of legibility. It is also fairly common to separate them by an empty space in non-formal contexts. 
Denomination	Representation	Radix
Horaba 	H 	∞
Sindar 	D 	12
Safir 	S 	60
Malin 	M 	12
Qidir 	Q 	60
Bejel 	B 	12
Alin 	A (or L) 	60
The character L is sometimes used to represent the Alin, due to the visual similarities between the mina'shiri character A and the ba'shiri character Ʌ.
=== Ba'shiri notation system ===
Each radix in the mina'shiri notation is recorded through the ba'shiri' ("number count") notation system, a set of characters which are combined in order to represent each of the numbers 1 through 60.
Number	Representation
1 	I
3 	Ʌ
6 	Ʌ
12 	M̈ (or M)
24 	M̈M̈ (or M)
30 	U
60 	Ẅ (or UU, or UU)
For example, the number 59 would be represented as UM̈M̈ɅɅI (or 130124161311.)
=== Combining the notation systems ===
When combining the Ba'shiri counting number system with the Mina'shiri notation characters HDSMQBL, one can write numbers in full Raqqosian (Shir'is Horaba) notation.
For example, the number 31,103,280 (used as an example in the above section) would be written as UM̈M̈ɅɅISɅɅIMUM̈M̈ɅɅQɅɅIBUM̈M̈ɅɅA. This can also be written with spaces and the underlining of the Mina'shiri notation for ease of legibility: UM̈M̈ɅɅIS ɅɅIM UM̈M̈ɅɅQ ɅɅIB UM̈M̈ɅɅA.
(Using Pemblish numerals this would be written as 59Sindar11Malin59Qidir11Bejel59Alin. As above, this can otherwise be expressed as 59518,4001143,200597201160591.)
== Modern adaptations ==
Due to the common numerical understanding of the Occidental numerical system among merchants and beauraucrats, it is common for Occidental numerals to be used instead of Ba'shiri notation. For example, 719 would be represented as 11B 59A, rather than ɅɅIB UM̈M̈ɅɅA.
== Historical Written Forms (WIP) ==
The Raqqosian numerical system has undergone various revisions to improve its usability and speed of writing.
Ancient Form: Full Bases, Denominations are written from smallest to largest, Unreformed names and denominations
Number	Representation
1 	I
3 	Ʌ
6 	Ʌ
30 	U
'Legacy' Traditional: Full Bases, Smallest > Largest, Reformed names, Unreformed denominations
'Revised' Traditional: Contracted Bases, Largest > Smallest, Common names and denominations
Modernised: Contracted Notation, Contracted 'maximum minus' 1 bases(1H minus 1, represented as D<->B59A [instead of 11D,59S,11M,59Q,11B,59A), Contracted Bases, Largest > Smallest, Common names and annotations
Revised Modern: Simplified Bases, Largest > Smallest, Common names and annotations
Hybrid: Use of Pemblish numbers, Simplified Bases, Simplified Notation, Largest > Smallest, Common names and annotations
UMMɅIIM