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Grayis: Difference between revisions
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The Grayis number system is nonal (base-9), but has reflexes of an ancient system based on multiples of 3, which can be observed in the etymology of the basic numbers. | The Grayis number system is nonal (base-9), but has reflexes of an ancient system based on multiples of 3, which can be observed in the etymology of the basic numbers. | ||
{| | {| {{Table/bluetable}} style="text-align:center; vertical-align:top" | ||
|- | |- | ||
! Grayis !! Decimal !! Meaning | ! Grayis !! Decimal !! Meaning | ||
|- | |- | ||
| rī|| 1|| (1) | | rī|| 1||align=left| (1) | ||
|- | |- | ||
| ai|| 2|| (2) | | ai|| 2||align=left| (2) | ||
|- | |- | ||
| chil|| 3|| (3) | | chil|| 3||align=left| (3) | ||
|- | |- | ||
| chirri|| 4|| (3+1) | | chirri|| 4||align=left| (3+1) | ||
|- | |- | ||
| kilai|| 5|| (3+2) | | kilai|| 5||align=left| (3+2) | ||
|- | |- | ||
| aichī|| 6|| (2×3) | | aichī|| 6||align=left| (2×3) | ||
|- | |- | ||
| chalayī|| 7|| (4×2-1?) | | chalayī|| 7||align=left| (4×2-1?) | ||
|- | |- | ||
| nauri|| 8|| (9-1) | | nauri|| 8||align=left| (9-1) | ||
|- | |- | ||
| nā|| 9|| (9) (=10 in nonal) | | nā|| 9||align=left| (9) (=10 in nonal) | ||
|- | |- | ||
| chillīkka|| 27|| (=30 in nonal: 3<sup>3</sup>, ‘great three’) | | chillīkka|| 27||align=left| (=30 in nonal: 3<small><sup>3</sup></small>, ‘great three’) | ||
|} | |} | ||
Further numbers are formed by compounding using the word ''ha'' ‘and’. | Further numbers are formed by compounding using the word ''ha'' ‘and’. | ||
{| | {| {{Table/bluetable}} style="text-align:center; vertical-align:top" | ||
|- | |- | ||
! Na (Teens) !! Dec. !! Non. !! Ayinnā (20) !! Dec. !! Non. !! Tens !! Dec. !! Non. !! Multiples !! Dec. !! Non. | ! Na (Teens) !! Dec. !! Non. !! Ayinnā (20) !! Dec. !! Non. !! Tens !! Dec. !! Non. !! Multiples !! Dec. !! Non. | ||
|- | |- | ||
| narī|| 10|| 11|| ayinnā ha rī|| 19|| 21|| na- || 9|| 10|| nā|| 3<sup>2</sup> ||10 | | narī|| 10|| 11|| ayinnā ha rī|| 19|| 21|| na- || 9|| 10|| nā|| 3<small><sup>2</sup></small> ||align=left|10 | ||
|- | |- | ||
| nanai|| 11|| 12|| ayinnā ha ai|| 20|| 22|| ayinnā || 18|| 20|| duhkā|| 3<sup>4</sup> ||100 | | nanai|| 11|| 12|| ayinnā ha ai|| 20|| 22|| ayinnā || 18|| 20|| duhkā|| 3<small><sup>4</sup></small> ||align=left|100 | ||
|- | |- | ||
| nachil|| 12|| 13|| ayinnā ha chil|| 21|| 23|| chillīkka|| 27|| 30|| kaigu|| 3<sup>6</sup> ||1,000 | | nachil|| 12|| 13|| ayinnā ha chil|| 21|| 23|| chillīkka|| 27|| 30|| kaigu|| 3<small><sup>6</sup></small> ||align=left|1,000 | ||
|- | |- | ||
| nachirri|| 13|| 14|| ayinnā ha chirri|| 22|| 24|| chirrinnā|| 36|| 40|| nakaigu|| 3<sup>8</sup> ||10,000 | | nachirri|| 13|| 14|| ayinnā ha chirri|| 22|| 24|| chirrinnā|| 36|| 40|| nakaigu|| 3<small><sup>8</sup></small> ||align=left|10,000 | ||
|- | |- | ||
| nakilai|| 14|| 15|| ayinnā ha kilai|| 23|| 25|| kilinnā|| 45|| 50|| duhkakkaigu|| 3<sup>10</sup> ||100,000 | | nakilai|| 14|| 15|| ayinnā ha kilai|| 23|| 25|| kilinnā|| 45|| 50|| duhkakkaigu|| 3<small><sup>10</sup></small> ||align=left|100,000 | ||
|- | |- | ||
| nalaichī|| 15|| 16|| ayinnā ha aichī|| 24|| 26|| aichinnā|| 54|| 60|| īlim|| 3<sup>12</sup> ||1,000,000 | | nalaichī|| 15|| 16|| ayinnā ha aichī|| 24|| 26|| aichinnā|| 54|| 60|| īlim|| 3<small><sup>12</sup></small> ||align=left|1,000,000 | ||
|- | |- | ||
| nachalayī|| 16|| 17|| ayinnā ha chalayī|| 25|| 27|| chalainā|| 63|| 70|| jumai|| 3<sup>14</sup> ||1,000,000,000 | | nachalayī|| 16|| 17|| ayinnā ha chalayī|| 25|| 27|| chalainā|| 63|| 70|| jumai|| 3<small><sup>14</sup></small> ||align=left|1,000,000,000 | ||
|- | |- | ||
| nanāli|| 17|| 18|| ayinnā ha nauri|| 26|| 28|| naurinnā|| 72|| 80 | | nanāli|| 17|| 18|| ayinnā ha nauri|| 26|| 28|| naurinnā|| 72|| 80 | ||