Dozenal English
The English language is fairly well-equipped with a nomenclature for dozenal arithmetic, having well-established terms for the first and second powers of twelve: one dozen and one gross. The situation is not so good at the third power, traditionally referred to by the rather awkward phrase "a great gross". Each higher power simply prefixes another "great", so the results quickly become unwieldy.
Instead of this, this wiki adopts the expedient of co-opting "galore", an English word of Irish origin, meaning "in abundance". This word is unusual in being a post-positive adverb; in other words, unlike other English modifiers, it always follows the word it modifies, and never precedes it. This means that we have an opportunity to ascribe another meaning to it if we position it pre-positively, without necessarily interfering with its customary meaning when post-positioned.
Therefore, Primel proposes to use one galore for the third power of twelve, one dozen galore for the fourth power, and one gross galore for the fifth. For higher powers still, Primel concatenates "galore" with a numeric prefix derived from Classical Latin or Greek, indicating a certain power of one galore. Thus, rather than coining an analog for "million", Primel proposes calling the sixth power of twelve one bigalore, the seventh power of twelve one dozen bigalore, the eighth one gross bigalore, the ninth one trigalore, and so forth. This avoids replicating the contentious and confusing irregularities seen in decimal in the long- and short-scale million systems.
Dozenal to Decimal Table
Dozenal | Decimal | ||
---|---|---|---|
Value | English | Value | English |
0 | zero | 0 | zero |
1 | one | 1 | one |
2 | two | 2 | two |
3 | three | 3 | three |
4 | four | 4 | four |
5 | five | 5 | five |
6 | six | 6 | six |
7 | seven | 7 | seven |
8 | eight | 8 | eight |
9 | nine | 9 | nine |
ᘔ | ten | 10 | ten |
Ɛ | eleven | 11 | eleven |
10 | one·dozen | 12 | twelve |
20 | two·dozen | 24 | twenty‑four |
30 | three·dozen | 36 | thirty‑six |
40 | four·dozen | 48 | forty‑eight |
50 | five·dozen | 60 | sixty |
60 | six·dozen | 72 | seventy‑two |
70 | seven·dozen | 84 | eighty‑four |
80 | eight·dozen | 96 | ninety‑six |
90 | nine·dozen | 108 | one hundred eight |
ᘔ0 | ten·dozen | 120 | one hundred twenty |
Ɛ0 | eleven·dozen | 132 | one hundred thirty‑two |
100 | one·gross | 144 | one hundred forty‑four |
200 | two·gross | 288 | two hundred eighty‑eight |
300 | three·gross | 432 | four hundred thirty‑two |
400 | four·gross | 576 | five hundred seventy‑six |
500 | five·gross | 720 | seven hundred twenty |
600 | six·gross | 864 | eight hundred sixty‑four |
700 | seven·gross | 1,008 | one thousand eight |
800 | eight·gross | 1,152 | one thousand one hundred fifty‑two |
900 | nine·gross | 1,296 | one thousand two hundred ninety‑six |
ᘔ00 | ten·gross | 1,440 | one thousand four hundred forty |
Ɛ00 | eleven·gross | 1,584 | one thousand five hundred eighty‑four |
1,000 | one·galore | 1,728 | one thousand seven hundred twenty‑eight |
2,000 | two·galore | 3,456 | three thousand four hundred fifty‑six |
3,000 | three·galore | 5,184 | five thousand one hundred eighty‑four |
4,000 | four·galore | 6,912 | six thousand nine hundred twelve |
5,000 | five·galore | 8,640 | eight thousand six hundred forty |
6,000 | six·galore | 10,368 | ten thousand three hundred sixty‑eight |
7,000 | seven·galore | 12,096 | twelve thousand ninety‑six |
8,000 | eight·galore | 13,824 | thirteen thousand eight hundred twenty‑four |
9.000 | nine·galore | 15,552 | fifteen thousand five hundred fifty‑two |
ᘔ,000 | ten·galore | 17,280 | seventeen thousand two hundred eighty |
Ɛ,000 | eleven·galore | 19,008 | nineteen thousand eight |
10,000 | one·dozen galore | 20,736 | twenty thousand seven hundred thirty‑six |
20,000 | two·dozen galore | 41,472 | forty‑one thousand four hundred seventy‑two |
30,000 | three·dozen galore | 62,208 | sixty‑two thousand two hundred eight |
40,000 | four·dozen galore | 82,944 | eighty‑two thousand nine hundred forty‑four |
50,000 | five·dozen galore | 103,680 | one hundred three thousand six hundred eighty |
60,000 | six·dozen galore | 124,416 | one hundred twenty‑four thousand four hundred sixteen |
70,000 | seven·dozen galore | 145,152 | one hundred forty-five thousand one hundred fifty‑two |
80,000 | eight·dozen galore | 165,888 | one hundred sixty-five thousand eight hundred eighty‑eight |
90,000 | nine·dozen galore | 186,624 | one hundred eighty‑six thousand six hundred twenty-four |
ᘔ0,000 | ten·dozen galore | 207,360 | two hundred seven thousand three hundred sixty |
Ɛ0,000 | eleven·dozen galore | 228,096 | two hundred twenty‑eight thousand ninety‑six |
100,000 | one·gross galore | 248,832 | two hundred forty‑eight thousand eight hundred thirty‑two |
200,000 | two·gross galore | 497,664 | four hundred ninety‑seven thousand six hundred sixty‑four |
300,000 | three·gross galore | 746,496 | seven hundred forty‑six thousand four hundred ninety‑six |
400,000 | four·gross galore | 995,328 | nine hundred ninety‑five thousand three hundred twenty‑eight |
500,000 | five·gross galore | 1,244,160 | one million two hundred forty-four thousand one hundred sixty |
600,000 | six·gross galore | 1,492,992 | one million four hundred ninety‑two thousand nine hundred ninety‑two |
700,000 | seven·gross galore | 1,741,824 | one million seven hundred forty‑one thousand eight hundred twenty‑four |
800,000 | eight·gross galore | 1,990,656 | one million nine hundred ninety thousand six hundred fifty‑six |
900,000 | nine·gross galore | 2,239,488 | two million two hundred thirty-nine thousand four hundred eighty‑eight |
ᘔ00,000 | ten·gross galore | 2,488,320 | two million four hundred eighty‑eight thousand three hundred twenty |
Ɛ00,000 | eleven·gross galore | 2,737,152 | two million seven hundred thirty‑seven thousand one hundred fifty‑two |
1,000,000 | one·bigalore | 2,985,984 | two million nine hundred eighty‑five thousand nine hundred eighty‑four |
Decimal to Dozenal Table
Decimal | Dozenal | ||
---|---|---|---|
Value | English | Value | English |
0 | zero | 0 | zero |
1 | one | 1 | one |
2 | two | 2 | two |
3 | three | 3 | three |
4 | four | 4 | four |
5 | five | 5 | five |
6 | six | 6 | six |
7 | seven | 7 | seven |
8 | eight | 8 | eight |
9 | nine | 9 | nine |
10 | ten | ᘔ | ten |
20 | twenty | 18 | one·dozen eight |
30 | thirty | 26 | two·dozen six |
40 | forty | 34 | three·dozen four |
50 | fifty | 42 | four·dozen two |
60 | sixty | 50 | five·dozen |
70 | seventy | 5ᘔ | five·dozen ten |
80 | eighty | 68 | six·dozen eight |
90 | ninety | 76 | seven·dozen six |
100 | one hundred | 84 | eight·dozen four |
200 | two hundred | 148 | one·gross four·dozen eight |
300 | three hundred | 210 | two·gross one·dozen |
400 | four hundred | 294 | two·gross nine·dozen four |
500 | five hundred | 358 | three·gross five·dozen eight |
600 | six hundred | 420 | four·gross two·dozen |
700 | seven hundred | 4ᘔ4 | four·gross ten·dozen four |
800 | eight hundred | 568 | five·gross six·dozen eight |
900 | nine hundred | 630 | six·gross three·dozen |
1,000 | one thousand | 6Ɛ4 | six·gross eleven·dozen four |
2,000 | two thousand | 1,1ᘔ8 | one·galore one·gross ten·dozen eight |
3,000 | three thousand | 1,8ᘔ0 | one·galore eight·gross ten·dozen |
4,000 | four thousand | 2,394 | two·galore three·gross nine·dozen four |
5,000 | five thousand | 2,ᘔ88 | two·galore ten·gross eight·dozen eight |
6.000 | six thousand | 3,580 | three·galore five·gross eight·dozen |
7,000 | seven thousand | 4,074 | four·galore seven·dozen four |
8,000 | eight thousand | 4,768 | four·galore seven·gross six·dozen eight |
9,000 | nine thousand | 5,260 | five·galore two·gross six·dozen |
10,000 | ten thousand | 5,954 | five·galore nine·gross five·dozen four |
20,000 | twenty thousand | Ɛ,6ᘔ8 | eleven·galore six·gross ten·dozen eight |
30,000 | thirty thousand | 15,440 | one·dozen five galore four·gross four·dozen |
40,000 | forty thousand | 1Ɛ,194 | one·dozen eleven galore one·gross nine·dozen four |
50,000 | fifty thousand | 24,Ɛ28 | two·dozen four galore eleven·gross two·dozen eight |
60,000 | sixty thosuand | 2ᘔ,880 | two·dozen ten galore eight·gross eight·dozen |
70,000 | seventy thousand | 34,614 | three·dozen four galore six·gross one·dozen four |
80,000 | eighty thousand | 3ᘔ,368 | three·dozen ten galore three·gross six·dozen eight |
90,000 | ninety thousand | 44,100 | four·dozen four galore one·gross |
100,000 | one hundred thousand | 49,ᘔ54 | four·dozen nine galore ten·gross five·dozen four |
200,000 | two hundred thousand | 97,8ᘔ8 | nine·dozen seven galore eight·gross ten·dozen eight |
300,000 | three hundred thousand | 125,740 | one·gross two·dozen five galore seven·gross four·dozen |
400,000 | four hundred thousand | 173,594 | one·gross seven·dozen three galore five·gross nine·dozen four |
500,000 | five hundred thousand | 201,428 | two·gross one galore four·gross two·dozen eight |
600,000 | six hundred thousand | 24Ɛ,280 | two·gross four·dozen eleven galore two·gross eight·dozen |
700,000 | seven hundred thousand | 299,114 | two·gross nine·dozen nine galore one·gross one·dozen four |
800,000 | eight hundred thousand | 326,Ɛ68 | three·gross two·dozen six galore eleven·gross six·dozen eight |
900,000 | nine hundred thousand | 374,ᘔ00 | three·gross seven·dozen four galore ten·gross |
1,000,000 | one million | 402,854 | four·gross two galore eight·gross five·dozen four |
2,000,000 | two million | 805,4ᘔ8 | eight·gross five galore four·gross ten·dozen eight |
3,000,000 | three million | 1,008,140 | one bigalore eight galore one·gross four·dozen |
4,000,000 | four million | 1,40ᘔ,994 | one bigalore four·gross ten galore nine·gross nine·dozen four |
5,000,000 | five million | 1,811,628 | one bigalore eight·gross one·dozen one galore six·gross two·dozen eight |
6,000,000 | six million | 2,014,280 | two bigalore one·dozen four galore two·gross eight·dozen |
7,000,000 | seven million | 2,416,Ɛ14 | two bigalore four·gross one·dozen six galore eleven·gross one·dozen four |
8,000,000 | eight million | 2,819,768 | two bigalore eight·gross one·dozen nine galore seven·gross six·dozen eight |
9,000,000 | nine million | 3,020,400 | three bigalore two·dozen galore four·gross |
10,000,000 | ten million | 3,423,054 | three bigalore four·gross two·dozen three galore five·dozen four |