we’re having a lot of fun with this
The naming seems more base 6 than 7. Do you use the other prefixes at higher numbers? Very interesting, I would love to seem more.
septenary (base 7) uses the digits 1 - 6 and 0, just as decimal (base 10) uses 1 - 9 and 0. were 7 to appear, there would be 8 digits in play. it would be octal.
while i’ve not gone much higher than 167/1310 (i only needed the industry-standard regenerations), the counting numbers are generally in the drom root, although there are other ways to achieve numbers. the infixes ol and or denote multipliers and powers, respectively, and anything more than dual repetition is frowned upon; although time tots may be intentionally difficult and count out to, say, 34, as dromeieieieioni, the proper drom form there is dromeiolulioni (6 + 6·4 + 1), and it may also be called eutenorali (52).
The first column of digits is in base 7, but the names and more clearly the bracketed numbers are basically base 6. The next number 207/1410 would give (6+6+2) following the presumed pattern, but in base 7 this simplifies 2 lots of 7 and should be thought of as (7 + 7). Just as 2010 is thought of as (10 +10). The appearance of 7 here is merely an artefact of us using base 10 numbers. Base 7 is all about how many groups of 7 you have.
The naming also follows this thinking in groups of 6 not 7. If I was extending this given the 0-6 I’d probably make 107 something like pryd@i with some work around to maintain uniqueness, here @. 117 - pryd@oni, 167 pryd@ei, then 207 would be arc@i. I hope the pattern is clear. This would gives us names up to 667/4810.
The ol and or are just the sort of extension rules I was looking for. They are very nice, I wonder how far they extend the naming ability, at a guess it would be 66 which is just over 46 000 so that’s a few numbers. What you’ve almost created is a way to say a number in any base 2-6 with the exponential infix or. Your eutenorali (52) is basically 1005 . Though 52=25=(6 + 6·3 + 1) dromeiolexioni? to take a guess. Or as 6 + 6·4 + 1 doesn’t equal 34 or 25, perhaps dromeiolulioni is right after all. Some clarification would be helpful.
I do really like it and it is more interesting than what I came up with above, it might just need some cleaning up and some ways to extend it further.