Dozenal System of Units

The Dozenal System of Units (DSU) is a measurement system based on the duodecimal number system. Unlike the standard International System of Units (SI), which utilizes a decimal based radix, the DSU offers potential advantages due to the high divisibility of one dozen.

Key Concepts

• Duodecimal: The DSU uses a dozen distinct digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ᘔ, Ɛ).
• Prefixes: The DSU employs a unique prefix system:
  • Positive Powers of 10: End in "-qua" (e.g., doqua = 10¹, groqua = 10²)
  • Negative Powers of 10: End in "-cia" (e.g., uncia = 10^-1, bicia = 10^-2)
• Naming: The DSU builds upon the IUPAC systematic element naming conventions, incorporating the syllables "dec" (for ten) and "lev" (for eleven).

Example

A length in the DSU might be expressed as:

• 25.8 groqua-meters (25.8 * 10² meters)

Advantages of DSU

• Divisibility: 1 dozen is divisible by 2, 3, 4, and 6, while ᘔ is only divisible by 2 and 5. This leads to simpler fractions and more straightforward mental calculations within the DSU.