The value of the pips in certain forms of the game has, as mentioned by ihcoyc, variations, usually according to suit. Hence, the Ace to ten may be seen either as an order of increase of value, or of decrease of value, depending on its 'colour' (suit).
The 'correct' ordering, however, in terms of its symbolic or historic non-gaming aspect, seems to suggest the more common-sensical first pips, then Page through to King. Whether these are depicted in their descending (King → Page → 10 → Ace) or ascending (Ace → 10 → Page → King) does not alter their relative symbolic value.
In terms of various reflections which may be made from these, and the 'moral to be derived from the contemplation' of the ordering of the game versions (historically used), it seems quite suggestive if one reflects on the suits themselves as to whether the ordering is one of ascent or descent.
For the purposes of those who do not have access to the suit value (for the game version), the suits are thus structured (in order of least to highest value):
- Bastons: Ace → ten
- Coupes: ten → Ace
- Deniers: ten → Ace
- Espees: Ace → ten
What is here interesting, in terms of reflections, is that both Bastons and Swords
do increase in value by being multiplied (the more swords one has at one's disposal, the greater the army; the more batons, the greater the crop or fields), but that the value of Cups and Coins stems from the ultimate single source: the One Holy Vessel in the case of the Cup, and the ultimate imprintature of the gold in the case of the coin (this last may be more difficult to sense into, but reflection on the value of one large gold coin as opposed to ten small ones may indicate what I mean).
With the Courts, and though they are arranged in suits, there is a sense that they refer to the servants of the implements... or at least their wielders. They are thus both superior to, but also subservient to, the pips.