Etymology of the irregularities in day-of-the-month numerals


It is of course well known that the numbers used to count days are based on
the Japonic numerals, but with a bunch of irregularities when compared to the
つ-numbers. Compare

[code]

    1 ひとつ　 ついたち 
    2 ふたつ　 ふつか 
    3 みっつ　 みっか 
    4 よっつ　 よっか 
    5 いつつ　 いつか 
    6 むっつ　 むいか 
    7 ななつ　 なのか 
    8 やっつ　 ようか 
    9 ここのつ ここのか 
    
[/code]

一日 is of course just suppletive, so that’s not really interesting. And 三日, 四日,
五日 and 九日 appear “regular”, that is identical to the counting numbers but
replacing つ with か. However, for the remaining numerals it’s a bit more
complicated:

二日 and 七日 have a vowel change (a→u/o) and I’ve found a
[source](http://www.imabi.net/timei.htm) saying that 七日 used to be なぬか (and
still is in some dialects). One finds a similar shift also in 二十歳 (は **た** ち)
and 二十日 (は **つ** か).

六日 and 八日 meanwhile show some curious other vowel changes (む → むい, や → よう).

It seems as if the 日 counter would be -uka underlyingly but I cannot find
anything backing this up, nor does it adequately explain all the
irregularities. Does anyone know more?




I don't have a clear answer for the ultimate derivations. Here is what I've
found so far.

## General counting forms

First, a note regarding the counter つ forms: all of the geminate (double-
lettered, with the small っ) ones are later developments, probably as a simple
phonotactic emphasizing of the つ. むっつ was originally むつ, which is 六【む】 +
counter つ.

The potential oddball here is 五【いつ】つ. This shows up in some sources simply as
五【い】つ, and in old compounds the い reading does appear, as in 五十【いそ】 or 五百【いほ】.
But then we also encounter the reading いつ in other contexts, such as 五衣【いつぎぬ】
or 五重【いつえ】. From what I've read and understood, I'm inclined to view いつ as the
underlying form, with い a derivation from that.

## Date forms

Now to look at the date forms. My source for etymologies is Shogakukan's
国語大辞典【こくごだいじてん】

  * 一日【ついたち】: **Odd, but explainable** : suppletion, from 月【つき】 + 立【た】(ち), as in _the start of the month_.
  * 二日【ふつか】: **Odd**. We'd expect ふた + か.
  * 三日【みっか】: Mostly regular, gemination arising from older みか reading.
  * 四日【よっか】: Mostly regular, gemination arising from older よか reading. 
  * 五日【いつか】: Regular.
  * 六日【むいか】: **Odd**. From older むゆか reading, which is also **odd**. We'd expect 六【む】 + 日【か】, but there's this unexplained ゆ.
  * 七日【なのか】: **Odd**. From older なぬか reading, which is also **odd**. We'd expect なな + か.
  * 八日【ようか】: **Odd**. From older やうか reading, which is also **odd**. We'd expect や + か.  
(The shift from やう to よう is a regular historical process.)

  * 九日【ここのか】: Regular.
  * 十日【とおか】: Regular. From older とをか reading, where とを is explained as an apophonic form of 撓【たわ】 "saddle or pass in a mountain range; bend, dip", as in 撓【たわ】む, from the way that one counts 10 in traditional Japanese one-handed finger counting by bending all one's fingers.
  * 二十日【はつか】: **Odd**. We'd expect はた + か.

### Findings

So ultimately we have five unexplainedly odd forms, all of which involve an
extra `/u/` sound.

  * Two where た changes to つ: ふた、はた > ふつ、はつ
  * One where ゆ appears from nowhere: む > むゆ
  * One where な changes to ぬ: なな > なぬ
  * One where う appears from nowhere: や > やう

### Guesses

It's possible that all four patterns are from an insertion of う, causing
related sound changes. However, that doesn't explain the `/j/` glide in むゆ.
That might be a simple excrescence, such as the `/w/` glide added by some
speakers in the term 場合, read as either ばあい or ばわい.

However, that is only speculation, and I have not found any research
suggesting this is a linguistically valid hypothesis. Even if we accept this
suggested う insertion, I have no idea what this う might have meant.

### Addendum

From the best I can find, the odd `/u/` forms above are _only_ found in these
date terms. I cannot dig up any other instance of 二 read as ふつ, 七 as なぬ, etc.

