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Dozenal Society of America
Promoting base twelve and alternative base mathematics
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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.

Resources

A collection of tools and resources for working with the dozenal system.



Click to open
web page

Title: Dozenal and Decimal Scientific Calculator

Author: Paul Rapoport

Type: Utility

Nature: Web

Summary: High-precision scientific calculator in dozenal and decimal with conversion among Primel, TGM, USC, Imperial, and SI metrologies.



Click to open
web page

Title: Dozenal and Decimal Solitaire Games

Author: Paul Rapoport

Type: Game

Nature: Web

Summary: Practice in dozenal (and decimal) arithmetic.

A collection of dozenal and decimal solitaire web games.



Click to open
web page

Title: Online Dozenal Clock

Author: Paul Rapoport

Type: Utility

Nature: Web

Summary: Very attractive online dozenal clock implemented in Javascript, done in a painterly style.



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.



Click to open
web page

Title: A Converter

Author: Takashi Suga

Type: Utility

Nature: Web

Summary: An online converter for TGM, UUS, and other metric systems.

Suga’s excellent metric converter, capable of dealing with many different metric systems, including TGM, SI, customary-imperial, and Suga’s own UUS, in many different bases. Options for precision and conversions for nearly any unit one can throw at it.



Click to view PDF

Title: Chord Dialer

Author: “Troy” (Donald Hammond)

Type: Educational

Summary: A simple printable, craftable chord dialer, using dozenal numbers to identify harmonious chords

A simple, printable chord-dialer, which uses the innate powers of the dozen to identify harmonious major and minor chords. Notes are identified both by dozenal numbers and by the traditional musical notation (C, D, etc.).



Click to download
from CTAN

Title: LaTeX Package: dozenal

Author: Donald P. Goodman III

Name: dozenal

Version: 4.0

Type: Font

Summary: Fonts and tools for dozenal in TeX and LaTeX

This package, intended for use with the TeX/LaTeX typesetting system (the standard throughout the academic, and especially the mathematical, world), makes using TeX and LaTeX in dozenal easy. It provides commands for converting decimal numbers to dozenal; for producing dozenal characters (whichever are desired, and for which glyphs exist); and redefines all counters to be in dozenal. It also provides fonts for the Pitman characters for “ten” and “eleven,” in roman, bold, bold extended, slanted, bold slanted, italic, and bold italic forms.



Click to install
from Greasyfork

Title: Dozenal OEIS Scripts

Author: James Wood

Version: 1.2.1

Type: Utility

Summary: Permits viewing and searching OEIS in dozenal.

The Online Encyclopedia of Integer Sequences is a powerful tool for learning about and investigating number theory; however, unfortunately, almost all of its sequences are available only in decimal. Thankfully, British dozenalist James Wood (also known as “m1n1f1g” and “mudri”) has developed user scripts for the Firefox and Chrome web browsers to fix that.

These scripts produce the sequences in both decimal and dozenal, seamlessly on the results pages as well as the sequences' main pages. They also allow searching for sequences in dozenal. The main script is linked here; the dozenal search script can be found elsewhere.

Note that these scripts may require something like the Greasemonkey add-on to function.



Click to download
zip file

Title: Alternative Base Systems Worksheets

Author: Jen Seron and Dan Simon

Type: Educational

Nature: Download

Summary: Instructional sheets and worksheets about non-decimal bases, devised for a program offered to a conference of the ASEE.

A total of 22z (two dozen and two) worksheets and instructional sheets for teaching non-decimal bases and their applications, specifically designed around an engineering context. First used at the American Society for Engineering Education conference in Atlanta in 11B9z (2013d), these sheets were designed by DSA Secretary Jen Seron, a professional educator, and will be a boon to those trying to open the concept of non-decimal bases for younger students.



Click to download
zip file

Title: KDE Desktop TGM Clock

Author: Donald P. Goodman III

Name: dozenal-tgm-clock_0.zip

Type: Utility

Nature: Download

Summary: Plasma applet for KDE desktop featuring a TGM (hour-based) clock and dozenal date.

This little program makes a TGM (hour-based) dozenal clock applet available for your KDE desktop. It lists a four-digit time, with the hour and first two digits of the Tim count (e.g., “03;X0” for “3:50”), and on mouseover gives the date in dozenal (e.g., “0E Apr 11E9”). To install the package, download the zip archive and run the following command:

plasmapkg -i dozenal-tgm-clock.zip

You should then have the applet available for you in the standard “add applet”screen; you can use it in addition to, or instead of, your default system clock.


Title: TGM Measurement Tools

Author: Donald P. Goodman III

Name: TGM Measurement Tools

Type: Guide

Summary: Sheets and guides for easily producing TGM measurement tools, like rulers, scales, measuring spoons and cups, and so forth.

A set of sheets and guides which provide easy ways to make easurement tools for using TGM, a coherent dozenal metric system. This includes rulers; weight/mass scales; measuring spoons; and measuring cups, with more to come.

  • TGM Clocks: Very easy to make and build. Print out the following and attach it to your clock; if it’s the wrong size, download the image, resize it appropriately, and do the same. Dozenal Clock Sheet | Dozenal Clockface Image
  • TGM Rulers: Likely the easiest to produce. Simply print out the following and follow the directions; provided in three paper sizes for your convenience. US Letter | US Legal | A4
  • TGM Measuring Spoons and Measuring Cups: Also very simple to do. Print out the following and follow the directions. Only one paper size here, as linear scale doesn't matter for this purpose. Measuring Cup and Measuring Spoon Sheet


Click to download
zip file

Title: Treisaran SVG Fonts for Pitman Characters

Author: “Treisaran”

Name: pitmansvg_treisaran.zip

Type: Font

Summary: Treisaran’s SVG fonts, with Pitman character matching a variety of free fonts.

Contains a huge body of SVG fonts matching a variety of free font faces, suitable for use in word processors like LibreOffice or OpenOffice. Included fonts are:

  • Century Schoolbook (bold and roman)
  • Dejavu (serif and sans; bold and roman)
  • Free UCS fonts (Freeserif; Freesans; and Freemono, all in bold and roman)
  • Liberation (serif, sans, and mono; bold and roman)
  • URW Bookman (bold and roman)
  • URW Palladio (bold and roman)

A document can be typed with some placeholder for X and E, then a find-and-replace done with the appropriate symbols, or they can be inserted at the appropriate time as the document is produced. ooriginally published on the DozensOnline forum by contributor “Treisaran.”



Click to download
executeable


Click to download
source zip

Title: ZCalculator

Author: Michael Punter

Name: ZCalculator

Type: Utility

Nature: Download

Summary: Excellent graphical dozenal calculator with a fairly complete set of functions.

A fine, visual calculator which works in both dozenal and decimal. Using “A” for ten and “B” for eleven, this calculator includes the basic trigonometric and logarithmic functions, some rudimentary memory functions, and of course the basic functions. It further includes exponential notation and buttons for certain constants (like π). Finally, it allows angular functions to be done using the traditional degree system (260z = 360d) degrees to the circle); the radian system; the circle divided into one dozen parts; or the TGM unciaPi system (the semicircle divided into a dozen parts).

Designed to run in Windows, it also runs quite nicely under Unix-like systems using wine.

You can also download it with its C++ source.



Click to open
F-Droid package

Title: Dozenal Clock App for Android

Author: Donald Goodman

Name: Dozenal Clock

Type: Utility

Nature: Download

Summary: A simple dozenal clock app, keeping time in hours and biciaHours.

A dozenal (duodecimal, or base-twelve) clock and homescreen/lockscreen widget. Uses “X” for “ten"” and “E” for “eleven.” The app itself is full-screen and keeps time in four-digit Tims (that's 1×10−4 hours), with the Tims separated from the whole hours by a semicolon (“;”). The widget keeps time in two-digit Tims (that is, the two largest Tims), with the Tims separated from the whole hours by a semicolon (“;”). The widget also display the date. The app updates automatically when open; the widget, in order to preserve battery life, updates only when the time is tapped by the user.



Click to open
F-Droid package

Title: DozenCalc: A Dozenal Calculator App for Android

Author: Donald Goodman

Name: Dozencalc

Type: Utility

Nature: Download

Summary: A full-featured dozenal calculator, with both basic and scientific modes.

A dozenal (duodecimal, or base-twelve) calculator with both simple and scientific modes. Simple mode (automatically chosen when in portrait orientation) contains the four functions, square roots, exponents, and parentheses for grouping, and operates to four digits of fractional accuracy. Scientific mode (automatically chosen when in landscape orientation) has all the same features, plus trigonometric functions and their inverses, logarithms, reciprocals, buttons for pi and the base of the natural logarithm, and variable precision allowing the user to select the number of fractional digits desired.