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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.

The Duodecimal Bulletin

◀️ Issue: Whole Number 3 | Vol. 2 No. 1 | Year 1162z (1946d) ▶️



Click to view PDF

Editor: Ralph Beard

Contents:

  • Report of President Andrews at the Annual Meeting (page 1z)
  • F. Howard Seely (page 3z)
  • Official Transactions (page 4z)
  • Decimal Point or Duodecimal Point (page 5z)
  • Additions to Duodecimal Bibliography (page 6z)
  • Duodecimal Logarithms (page 7z)
  • Machine Conversion of Decimals to Duodecimals | H. K. Humphrey (page 7z)
    • Integers, Decimal to Dozenal (page 7z)
    • Integers, Dozenal to Decimal (page 9z)
    • Fractions, Decimal to Dozenal (page Az)
    • Fractions, Dozenal to Decimal (page Az)
    • Mixed Numbers (page Bz)
    • Mixed Numbers, Decimal to Dozenal (page Bz)
    • Mixed Numbers, Dozenal to Decimal (page 10z)
  • Revised Address List (page 11z)
  • Mathematical Recreations (page 13z)
  • Table of Quarter Squares | Harry C. Robert, Jr. (page 15z)
  • Number Symbols | Kinglsand Camp (page 16z)
  • Ideas and Opinions (page 18z)
  • Dosenile Department | Mary Lloyd, Editor (page 1Bz)
  • Poem: Basic Twelve, The Rule for Man | Philip Haendiges (page 21z)
    • An acrostic, based on Revelations 21:10–17d
  • Poem: Babble On | F. Howard Seely (page 22z)
  • Unscientific Science | Ralph H. Beard (page 23z)
  • How to Count by Dozens (page 25z)
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