Dozenal Calc

A "dozenal calculator" with a novel notation for numbers.

A "dozenal calculator" — a scientific calculator that computes not in tens, but in twelves. With its own symbols for the digits.

What base 12 can do that base 10 can't

In the decimal system, 1/3 is an infinite repeating fraction (0.333…). In base 12 it's short and exact: 0.4. Sixths, ninths, and every fraction whose denominator is built from twos and threes also become finite in dozenal. No coincidence: twelve has six divisors, ten only four.

Dozenal Calc computes exactly — a rational track runs in parallel with floating-point arithmetic. Repeating fractions appear with a bar over the recurring digits, for example 1/7 as 0.186A3 with a repetend bar.

Features

• Basic arithmetic, parentheses, signs • Power, square root, nth root, logarithm to any base • Trigonometric and hyperbolic functions including their inverses • Constants π, e, φ, √2; factorial, absolute value, reciprocal, modulo • Parallel addition (a⊕b) for resistor circuits • Memory (STO/RCL/MC) with exact rational preservation • Angle modes DEG / RAD / GRAD • Numeral-system switch (base 12/10) in the settings — input AND result, applies to both calculators • Light and dark theme

Unit converter

One swipe to the left opens the second calculator: it converts imperial and metric units into one another — length, area, volume, weight, time, angle, money (£/sh/d), temperature and more. Compound entries like 3 ft 5 in, breakdown into part units, and math right inside the entry (× ÷ ⊕ ^ √ log) with memory and constants. Results travel between the two calculators at the press of a key. A color code keeps the worlds apart: green for the world of ten (metric, base 10), violet for the world of twelve (imperial, base 12).

Hands-on theory — now with pictures

A richly illustrated read explains why twelve in particular is a special number, in three blocks: • Twelve and the World — from the dodecagon and dodecahedron through pyrite, garnet, viruses and quasicrystals to music, art, architecture and calendars • Dozenal Mathematics — divisors and periods, the number bases compared, a history of place-value systems • Dozenal Society — the movement for twelve, new digits for ten and eleven, the TGM measurement system and related dozenal calculators

Many chapters show public-domain historical illustrations — from Haüy's pyrite plate through Leonardo's dodecahedron to Vermeer's balance — each with a tappable source citation. Plus a dedicated unit theory on measure and number, two illustrated operating manuals for both calculators, and recommendations for dozenal-friendly calculators on every platform.

Fourteen languages

Deutsch, English, Français, Español, Italiano, فارسی, Русский, Gaeilge, हिन्दी, 简体中文, 繁體中文, Cymraeg, 日本語, العربية — freely selectable in the info menu.

What Dozenal Calc doesn't do

• No ads, no tracking, no analytics • No internet connection, no permissions • No personal data

The app works completely offline. What you type stays on your device.

Who is it for?

For teachers who want to show how a different number system transforms everyday work with fractions — and for anyone who wants to see mathematics from an unfamiliar perspective.

License: MIT. Contact: dozenal@weltanschauung.app