Applications of seximal

Many traditional units of measurement are either directly compatibile with seximal or render more cleanly in seximal than in decimal. Think about how many non-metric units have divisibility by six:

• 100 (36 decimal) inches in a yard
• 40 (24 decimal) hours in a day
• 140 (60 decimal) minutes in an hour and seconds in a minute
• 100*14 (36*10 decimal) degrees in a circle

Divilibility by six is a very useful property which is why it is so common. This makes dealing with many traditional units and measurement systems an excellent place to make use of seximal.

Counting on your fingers

You have ten fingers total but five on each hand. If you treat each hand as a seximal digit then you can count up to 55 (35 decimal) with your two hands. This is actually why traditional basketball numbers are made up of two digits in the range 0-5 (forming exactly nif unique jersey numbers, effectively a seximal jersey numbering) so referees can easily signal the jersey number with their hands.

Inches, yards, and metric inches

There are actually fair arguments for a range of imperial lengths being more useful at human scale than metric . However, math in imperial units is really annoying when using base ten. In seximal, one yard contains 100 inches. This makes it much easier to work with these units.

A yard is similar in length to a meter. If we divide a meter by 100 seximal we get something similar to an inch. We can call these metric inches. A metric inch is exactly 41/13 = 2.44 (25/9 = 2.(7) decimal) centimeters.

Degrees of a circle

A full circle is 360° decimal, which factors into 100*14 (36*10 decimal). This means every ten degrees represents one-nifth of a revolution, making a decadegree (ten degrees) a natural angular unit in seximal. So a "nifth-turn" is just another term for a decadegree. The conversion from nifth-turn to radians is trivial, just multiply by 2*pi/100.

Hour of the day

All units of time have divisibility by six: 40 (24 decimal) hours in a day, 140 (60) minutes in an hour, 140 (60) seconds in a minute. Dividing the day into quarters is pretty natural since it splits at a nominal sunrise and sunset (and features explicitly in both the Italian six-hour clock and the Thai six-hour clock​ ) but seximal makes those quarters fall on even 10 hours:

• 00h = midnight
• 10h = sunrise
• 20h = noon
• 30h = sunset

We can combine the other two factors of six to create the "long minute" which is 1/100 (1/36 decimal) of an hour, or 244 (100 decimal) seconds. Six long minutes is the same as ten normal minutes. Then hours with long minutes in seximal forms a single four-digit number for telling time which is highly compatible with the standard twenty-four hour clock:

• 00h30m = half hour past midnight
• 35h55m = one long minute to midnight
• 20h10m = six long minutes past noon = ten minutes past noon

Note that the sixes digit of the long minutes is always the same as the tens digit of regular minutes written in decimal! Durations add trivially, for example: 40 long minutes + 1 hour 40 long minutes = 2 hours 20 long minutes (40 + 140 = 220).

For people that prefer twosy-hour clocks (AM/PM), seximal makes conversion to and from foursy-hour time ("military") a breeze:

• 22h = 2 PM
• 34h = 14 PM

You could also use "dozen X o'clock" for "X o'clock PM".

Niftimal and number-to-text compression

Niftimal (base 36 decimal) pairs seximal digits and maps them to the digits 0-9 then A-Z (14 + 42 = 100). This makes for an extremely simple numeric compression scheme with text. The mapping from seximal to niftimal is:

Australian rules football scoring

In Australian-rules football, or "footy", goals are worth six points and behinds worth one. Scores are normally written:

In seximal, goals just count toward the sixes digit, making the calculation of footy scores much simpler. For example, compare decimal:

to the much more transparent seximal representation: