# Quenya/Duodecimal Numerals
## Quenya Duodecimal System

Note: Not attested, theoretical construction.
This is a theorised Quenya duodecimal system based on the knowledge that the Eldar had originally used this system before the arrival of men in Middle-Earth, and then adopted the decimal system from them. Most of what we know on Tolkien's Quenya numerals are characteristically decimal in construction, and not much provided into duodecimal numbers. Based on what is known is a re-constructed table of Quenya duodecimal numbers that will be subject to future revisions in accordance to any new attested information that may come, or more appropriate examples can be made.

## Numbers 1 to 10 : 1 to 12

Quenya from 1 - 10 :
| Tengwar Numerals | ñ | ò | ó | ô | õ | ö | ÷ | ø | ù | ú | û | ðñ |
| Duodecimal | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | 10 |
| Decimal | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Tengwar | t%5 | `C1;E | 5$m$ | aD4# | j$r$ | `Vv$ | `N1YÇ | 1Ym^ | 5$61R | zlD5 | t%v$ | 7E81E |
| Quenya | min | atta | neldë | canta | lempë | enquë | otso | toldo | nertë | quain | minquë | rasta |

## Numbers 10 to 20 : 12 to 24

| Tengwar | Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya |
| ðñ | 7E81E | 10 | 12 | rasta |
| ññ | t%5 7E81E | 11 | 13 | min rasta |
| òñ | `C1;E 7E81E | 12 | 14 | atta rasta |
| óñ | 5$m$ 7E81E | 13 | 15 | neldë rasta |
| ôñ | aD4# 7E81E | 14 | 16 | canta rasta |
| õñ | j$r$ 7E81E | 15 | 17 | lempë rasta |
| öñ | `Vv$ 7E81E - 5#d1E | 16 | 18 | enquë rasta - nahta |
| ÷ñ | `N1YÇ 7E81E | 17 | 19 | otso rasta |
| øñ | 1Ym^ 7E81E | 18 | 20 | toldo rasta |
| ùñ | 5$61R 7E81E | 19 | 21 | nertë rasta |
| úñ | zlD5 7E81E | 1A | 22 | quain rasta |
| ûñ | t%v$ 7E81E | 1B | 23 | minquë rasta |
| ðò | hÍU7E81E | 20 | 24 | yurasta |
* ↑ Early word, "dozen & a half". Maybe obsolete by nahta- "to slay; to hurt, injure, wound / to confine, oppress"

## Numbers 10 to 100 : 12 to 144

| Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya | Quenya | Alt. Quenya | Alt. Quenya |
| ðñ | 10 | 12 | 7E81E | rasta | hÍUv$ | yunquë |
| ðò | 20 | 24 | hÍU7E81E | yurasta | 7E81E `C1;E | rasta atta |
| ðó | 30 | 36 | 5$j$7E81E | nelerasta | 7E81E6 5$m$ | rastar neldë |
| ðô | 40 | 48 | aD5#7E81E | canarasta | 7E81E6 aD4# | rastar canta |
| ðõ | 50 | 60 | j$qR7E81E | leperasta | 7E81E6 j$r$ | rastar lempë |
| ðö | 60 | 72 | `V5$7E81E | enerasta | 7E81E6 `Vv$ | rastar enquë |
| ð÷ | 70 | 84 | `N1Y7E81E | otorasta | 7E81E6 `N1YÇ | rastar otso |
| ðø | 80 | 96 | 1Yj^7E81E | tolorasta | 7E81E6 1Ym^ | rastar toldo |
| ðù | 90 | 108 | 5$1R7E81E | neterasta | 7E81E6 5$61R | rastar nertë |
| ðú | A0 | 120 | zlD7E81E | quairasta | 7E81E6 zlD5 | rastar quain |
| ðû | B0 | 132 | t%vlD7E81E | minquairasta | 7E81E6 t%v$ | rastar minquë |
| ððñ | 100 | 144 | 1Ua|D | tuxa | 9Y81E | hosta |
* ↑ yú "both" + enquë "six", meaning 2 sixes, not the suffix -quë found in decimal for 10s. e.g. minquë "11", nelquë "13", etc.
Likewise with the numbers between 10 and 20 : 12 and 24, the single digit is said first, then the dozen digit:
| Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya | Quenya |
| öó | 36 | 42 | `Vv$ 5$j$7E81E | enquë nelerasta |
| ñû | B1 | 133 | t%5 t%vlD7E81E | min minquairasta |

## Numbers 100 to 200 : 144 to 288

| Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya | Quenya |
| ððñ | 100 | 144 | 1Ua|D | tuxa |
| ðññ | 110 | 156 | 7E81E 1Ua|D | rasta tuxa |
| ðòñ | 120 | 168 | hÍU7E81E 1Ua|D | yurasta tuxa |
| ðóñ | 130 | 180 | 5$j$7E81E 1Ua|D | nelerasta tuxa |
| ðôñ | 140 | 192 | aD5#7E81E 1Ua|D | canarasta tuxa |
| ðõñ | 150 | 204 | j$qR7E81E 1Ua|D | leperasta tuxa |
| ðöñ | 160 | 216 | `V5$7E81E 1Ua|D | enerasta tuxa |
| ð÷ñ | 170 | 228 | `N1Y7E81E 1Ua|D | otorasta tuxa |
| ðøñ | 180 | 240 | 1Yj^7E81E 1Ua|D | tolorasta tuxa |
| ðùñ | 190 | 252 | 5$1R7E81E 1Ua|D | neterasta tuxa |
| ðúñ | 1A0 | 264 | zlD7E81E 1Ua|D | quairasta tuxa |
| ðûñ | 1B0 | 276 | t%vlD7E81E 1Ua|D | minquairasta tuxa |
| ððò | 200 | 288 | hÍU1Ua|D | yutuxa |

## Numbers 100 to 1000 : 144 to 1728

| Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya | Quenya | Alt. Quenya | Alt. Quenya |
| ððñ | 100 | 144 | 1Ua|D | tuxa | 9Y81E | hosta |
| ððò | 200 | 288 | hÍU1Ua|D | yutuxa | 9Y81E `C1;E | hosta atta |
| ððó | 300 | 432 | 5$j1Ua|D | neltuxa | 9Y81E6 5$m$ | hostar neldë |
| ððô | 400 | 576 | aD4&a|D | cantuxa | 9Y81E6 aD4# | hostar canta |
| ððõ | 500 | 720 | j$qR4&a|D | lepentuxa | 9Y81E6 j$r$ | hostar lempë |
| ððö | 600 | 864 | `V5$4&a|D | enentuxa | 9Y81E6 `Vv$ | hostar enquë |
| ðð÷ | 700 | 1,008 | `N1Y1Ua|D | ototuxa | 9Y81E6 `N1YÇ | hostar otso |
| ððø | 800 | 1,152 | 1Yj^1Ua|D | tolotuxa | 9Y81E6 1Ym^ | hostar toldo |
| ððù | 900 | 1,296 | 5$1R61Ua|D | netertuxa | 9Y81E6 5$61R | hostar nertë |
| ððú | A00 | 1,440 | zlD1Ua|D | quaituxa | 9Y81E6 zlD5 | hostar quain |
| ððû | B00 | 1,584 | t%vlD1Ua|D | minquaituxa | 9Y81E6 t%v$ | hostar minquë |
| ðððñ | 1,000 | 1,728 | t$f$ | mencë | 9Y81E6 7E81E | hostar rasta |

## Numbers 1000 to 10000 : 1728 to 20,736

| Tengwar | Duodecimal - Decimal | Duodecimal - Decimal | Quenya | Quenya | Alt. Quenya | Alt. Quenya |
| ðððñ | 1,000 | 1,728 | t$f$ | mencë | - | - |
| ðððò | 2,000 | 3,456 | hÍUt$f$ | yumencë | t$f$ 1;E | mencë atta |
| ðððó | 3,000 | 5,184 | 5$jt$f$ | nelmencë | t$f% 5$m$ | menci neldë |
| ðððô | 4,000 | 6,912 | aD5#t$f$ | canamencë | t$f% aE4# | menci canta |
| ðððõ | 5,000 | 8,640 | j$qRt"$f$ | lepemmencë | t$f% j$r$ | menci lempë |
| ðððö | 6,000 | 10,368 | `V5$t"$f$ | enemmencë | t$f% `Vv$ | menci enquë |
| ððð÷ | 7,000 | 12,096 | `N1Yt$f$ | otomencë | t$f% `N1YÇ | menci otso |
| ðððø | 8,000 | 13,824 | 1Yj^t$f$ | tolomencë | t$f% 1Ym^ | menci toldo |
| ðððù | 9,000 | 15,552 | 5$1R6t$f$ | netermencë | t$f% 5$61R | menci nertë |
| ðððú | A,000 | 17,280 | zlDt$f$ | quaimencë | t$f% zlD5 | menci quain |
| ðððû | B,000 | 19,008 | t%vlDt$f$ | minquaimencë | t$f% t%v$ | menci minquë |
| ððððñ | 10,000 | 20,736 | 7E81Et$f$ | rastamencë | t$f% 7E81E | menci rasta |
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