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The Dozenal Society of America
The DSA is a voluntary, nonprofit education corporation, organized for the conduct of research and education of the public in the use of dozenal (also called duodecimal or base-twelve) in calculations, mathematics, weights and measures, and other branches of pure and applied science.

UncialClock Deluxe



Click to download
executable jar
from Sourceforge

Title: UncialClock Deluxe

Author: John “Kodegadulo” Volan

Latest Version: 1207091B-1 (released 1207-09-1Bz | 2023-09-23d)

Type: Utility

Nature: Java (Download)

Summary: A Java program displaying up to four types of dozenal clock (based on the day, ½ day, ⅓ day, ¼ day) each in both analog and digital.

This Java program displays up to four dozenal analog clock dials with digital readouts and legends, each with a technical and a colloquial name:

  • Diurnal Dial, or Primel Dial: Based on the full day favored by the Primel metrology.
  • Semidiurnal Dial, or Pendlebury Dial: Based on the half day favored by the TGM metrology.
  • Tiercerdiurnal Dial, or Shiftic Dial: Based on the one-third day, or “shift.”
  • Quarterdiurnal Dial, or Phasic Dial: Based on the quarter day, or “phase.”

The background color varies from sky blue to midnight blue based on time of day. The explanatory legend boxes under the dials can be collapsed out of view if desired. Clicking anywhere on the dials reveals a configuration panel which allows the user to control the dial markings, orientation, spin direction, movement, and arrangement of hands on each analog dial; the radix point and digit precision on each digital readout; the date format; the terminology displayed (technical or colloquial); the day start (midnight, sunrise, noon, or sunset); the local time zone used; and what characters to use for dozenal ten and eleven digits.
Copyright © 11B9–120Az (2013–2026d). The Dozenal Society of America. Contact Us.
Creative Commons License
This site and the documents on it are licensed under a Creative Commons Attribution 4.0 International License.

This site expresses numbers in alternative bases, particularly dozenal (also called duodecimal, or base twelve).
The DSA does not endorse any particular notation or pronunciation scheme for alternative bases.
However this site defaults to the following to ensure online readability across all platforms:
“Computerese” uppercase letters represent transdecimal digits: A = ten, B = eleven, C = twelve, etc.
Single-character subscripts annotate bases: d = decimal, z = dozenal, x = hexadecimal, etc., e.g., 2014d = 11BAz = 7DEx.

(0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 ...)d
(0 1 2 3 4 5 6 7 8 9  A  B 10 11 12 13 14 15 16 17 18 19 1A 1B 20 21 22 23 24 25 26 27 28 29 2A 2B 30 ...)z
(0 1 2 3 4 5 6 7 8 9  A  B  C  D  E  F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 21 22 23 24 ...)x

PDF documents on this site reflect changing practices among dozenalists over the years:
Various symbols have been used to represent digits ten and eleven:
Dwiggins 𝒳 and Ɛ (often rendered X and E); Bell Telephone * and #; Pitman turned 2 and 3 (↊ and ↋); etc.
Italics were once used to distinguish dozenal numbers from decimal: e.g. 0.5 = 0.6.
Later, semicolon became a separate‑identity “dozenal point”, versus period as “decimal point”: e.g., 0.5 = 0;6.
However, subscript base annotations provide a more versatile solution that is least‑change: e.g., 0.5d = 0.6z = 0.8x

Dozenal offers superior divisibility over decimal, which can make everyday arithmetic easier to learn:
⅙ = 0.2z | ¼ = 0.3z | ⅓ = 0.4z | ½ = 0.6z | ⅔ = 0.8z | ¾ = 0.9z | ⅚ = 0.Az
⅙ = 0.1666…d | ¼ = 0.25d | ⅓ = 0.333…d | ½ = 0.5d | ⅔ = 0.666…d | ¾ = 0.75d | ⅚ = 0.8333…d

EACH ONE, TEACH ONE.