Please, Luke, enlighten me.

Unlike the later invention of hexadecimal, which only provides digits for base 8*2

(and hijacks them from the Latin alphabet), Tonal also provides pronunciations

(an, de, ti, go, su, by, ra, me, ni, ko, hu, vy, la, po, fy, ton), fractions

(forbidden in hexadecimal), and units for measurement of length

(the Earth's circumference is 1,0000 millmeters), time/circles/compass

(each day is divided into 10 tims), capacity

(1 gall = 1 cubic meter), weight

(1 pon = 1 gall of water), power

(1 effect = 1 pon lifted 1 meter in 1 timmill), money

(cents, shillings, and dollars), postage stamps, the calendar

(ANuary, DEbrian, TImander, GOstus, SUvenary, BYlian, RAtamber, MEsudius, NIctoary, KOlumbian, HUsamber, VYctorious, LAmboary, POlian, FYlander, TONborious), temperature/heat

(10 temps = 100 celcius), music, and abacus/stchoty.

Where did you see Tonal (or Hex) in Bitcoins?

As no government has adopted Tonal for currency, there has been a void. The day I discovered Bitcoin, it seemed obvious it could fill this void.

I see that there is 21000000.00000000 Bitcoins, that's 16 numbers (is it a clue?)

But the units are decimals (0-9), so, where does it fits? Mathematically? (Something tells me that one or another type of measure will have non-round numbers).

I'd like to see examples of simple conversions so maybe I can grasp it.

There are technically 2,100,000,000,000,000 actual items in the Bitcoin protocol. For whatever reason, Satoshi chose to set the unit of "BTC" at 100,000,000 of these. TBC, on the other hand, is exactly 1,0000 (tonal, remember) items. Therefore, 1 TBC = 0.00065536 BTC and 1 BTC = 55.1 TBC (

the wiki has a nice chart of units). Since the decimal and tonal units are fundamentally different, they can mostly function as independent currencies (for example, clients can detect

whether a transaction is BTC or TBC based on its value) while still being directly exchanged between single-number-system users without confusion (since their client will only show the units they understand) and cooperating on mining efforts, adoption, etc.