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I am beginning to study kanji and while reading a
[wiki](https://en.wikipedia.org/wiki/List_of_kanji_by_concept) I noticed only
the ordinal numbers first (初), second (乙), and third (丙) are listed. Which
brings me to ask whether there are symbols for fourth, fifth, and so on or if
these are the only ones available; I am not knowledgeable on ordinal counting
in Japanese.
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kanji numbers
Kanji for ordinal numbers
初{はつ} is actually used in a completely different way from 乙{おつ}, 丙{へい}, etc:

## 初

初 means first, but only first in the temporal sense of a _first occurence_.
Therefore, it isn't used as an ordinal to number/rank items in a list.

Instead, it's used as a part of various compound words, where it signifies the
1st occurence of that thing; often as a prefix, such as in 初詣{はつもうで},
初耳{はつみみ}, 初恋{はつこい}, 初雪{はつゆき}; or as a suffix, such as in 業界初{ぎょうかいはつ}; or even
just by itself, as in ”初{はつ}です”—another way to say ”初{はじ}めてです”.

## Counting in Japanese

This is large topic due to the existence of many different kinds of counter
suffices, depending on the thing being counted (e.g., 一個, 一本, 一冊, 一人, 一名, 一匹).
Trying to list them all would go way beyond the scope of this answer, but one
of the most generic way to count things involves using the 目{め} suffix: 一つ目,
二つ目, 三つ目, ...

Among these _many_ ways to count things in Japanese, there exists a classic
Chinese system that uses a separate set of kanji as its ordinals:

## 十干: The Ten Heavenly Stems

乙{おつ} and 丙{へい} are part of the [Ten Heavenly
Stems](https://en.wikipedia.org/wiki/Heavenly_Stems), originating in Shang
Dynasty China, called
[十干{じっかん}](https://ja.wikipedia.org/wiki/%E5%8D%81%E5%B9%B2) in Japanese.

They are rarely used in day-to-day Japanese; mainly reserved for usage as
ordinals in legal documents. Note that 甲{こう} rather than 初 belongs in this
list as the first ordinal:

  1. 甲{こう}
  2. 乙{おつ}
  3. 丙{へい}
  4. 丁{てい}
  5. 戊{ぼ}
  6. 己{き}
  7. 庚{こう}
  8. 辛{しん}
  9. 壬{じん}
  10. 癸{き}

They have calendar, fortune-telling and angle-related interpretations too, as
well as (rarely used) 訓読み readings. More information about that can be found
in the same Wikipedia
[article](https://ja.wikipedia.org/wiki/%E5%8D%81%E5%B9%B2).
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answer