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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.

The Duodecimal Bulletin

◀️ Issue: Whole Number 30z (36d) | Vol. 16z (18d) No. 1 | Year 1176z (1962d) ▶️



Click to view PDF

Editor: Ralph Beard

Contents:

  • The Alamogordo Meeting of the Board of Directors, 10z April 1176z (12d April 1962d) (page 1z)
  • The Annual Membership Meeting (page 7z)
  • A New Dozenal Proposal | Charles H. Brittain (page 8z)
  • Palindromic Numbers | F. Emerson Andrews (page 9z, page 10z)
  • More Abacus | Tom B. Linton (page Bz)
  • Book Review | F. Emerson Andrews (page 11z, page 23z)
    • Duodecimals and British Coinage | A. C. Aitken
  • About that Length | Henry Clarence Churchman (page 13z)
    • Length (page 14z)
    • Advancement of the Meter (page 14z)
    • Eclipse of the Meter (page 15z)
    • What Is a Metric System? (page 16z)
    • Metronic System of Dimensions (page 17z)
    • Some Aspects of the Metron (page 19z)
    • Nante System of Dimensions (page 1Az)
      • Table: A Comparison of Modified Old and New Metric Units Adjusted to Krypton 86d Wavelength Decimally (page 1Bz)
      • Table: Metronic Prefixes and Powers and Denominations (page 1Bz)
      • Table: Metronic Units Related Dozenally to Krypton 86d Waves and New Yard or New Meter (page 20z)
      • Table: Metronic Units Related to Nante, New Mile, and New Kilometer Dozenally (page 20z)
      • Table: Nante Units Related to Foot (Inch, Line) and Micron (page 20z)
  • Casting out Ɛz’s | William Bruce Knapp (page 21z)
  • The Mathematics Journal (page 24z)
  • 1962d and Its Digits Salute Do | Charles W. Trigg (page 24z)
  • New Standard Atomic Number 12d for Carbon | Peter B. Andrews (page 25z)
  • Counting in Dozens (page 26z)
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.