Seal of the DSA
Dozenal Society of America
Promoting base twelve and alternative base mathematics
Support the DSA
Follow Us
Icon for DSA's Twitter Icon for DSA's Facebook Icon for DSA's RSS
Share This Page
Icon for sharing via Twitter Icon for sharing via Facebook Icon for sharing via email
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.

Articles and Books

Fundamental Operations in the Duodecimal System

Prof. Jay Schiffman

The four basic functions, as applied in dozenal arithmetic.

1192

A Brief Introduction to Dozenal Counting

Prof. Gene Zirkel

Basics of base-twelve (dozenal) counting

11X3

A History of the DSA

Prof. Gene Zirkel

The history of the DSA, in brief.

11E4

Eggsactly a Dozen

Prof. James Malone

Basic introduction to dozenal counting, by means of eggs.

1191

Decimal-Dozenal Conversion Rules

Prof. Gene Zirkel

Rules for converting dozenal to decimal, integers and fractions, by hand.

11E1

Featured Figures: Basic Operations

Michael deVlieger

Dozenal addition and multiplication tables.

11E4

Key Dozenal Fractions

Michael deVlieger

Pictures and graphs illustrating dozenal's unique fractional properties.

11E7

Manual of the Dozen System (MODS)

Dozenal Society of America

Basic introduction to dozenal mathematics; Churchman's metric system; tables.

1174

Multiplication Tables of Various Bases

Michael deVlieger

Multiplication tables in bases (dozenal) 2-26, 28, 30, 34, and 50.

11EX

The DSA Symbology Synopsis

Michael deVlieger

A poster-sized synopsis of proposals for dozenal symbologies.

11E7

How Do You Pronounce Dozenals?

Prof. Gene Zirkel

The do-mo-gro system of dozenal nomenclature.

11E7

The DozensOnline Forum Symbols Debate

Michael deVlieger

A debate on symbols from the DozensOnline forum.

11E6

A Numeral Toolbox

Michael deVlieger

Methods for divising numerals for non-decimal bases.

11E6

Dozenal Mathematical Displays Using LaTeX

Donald P. Goodman III

A brief description of the LaTeX package "dozenal."

11E6

Featured Figures: Symbology Overview

Michael deVlieger

Summarizes many dozenal and hexadecimal numeral systems.

11E6

Symbology Overview

Michael deVlieger

Summary of least-change dozenal symbologies.

11E6

Presenting...Symbology

Michael deVlieger

Introduction to DB Symbology issue, Vol. 4X Iss. 2.

11E6

The Opposed Principles

Ralph Beard

Article originally distinguishing "least change' and "separate identity" symbologies.

1161

A Dozenal Nomenclature

Dr. Owen B. Clayton

A proposed dozenal nomenclature.

11E5

Going Classic

Dozenal Society of America

Discusses the return of the DSA to Dwiggins numerals, away from Bell.

11E4

Symbols, Symbols, !@#$%¢&*(!? Symbols

Prof. Gene Zirkel

Explains the temporary adoption of Bell numerals by the Duodecimal Bulletin.

1192

Dozenal Home Primes

Prof. Jay Schiffman

An explanation of dozenal home primes.

11E7

On Maximal Repeating Sequence of Decimal Expansions in Base-Twelve

T. J. Gaffney

Exploring dozenal repeating fractions, especially sevenths.

11E6

A Dozen Properties of the Number Twelve

Dozenal Society of America

Prof. Schiffman examines some number theoretical properties of the dozen.

1192

Music, Scales, and Dozens

Dr. John Impagliazzo

Some different musical scales and their dozenal bases.

119X

Why Change?

Ralph Beard

Why our civilization should change to dozenal.

1164

Twelves and Tens

A. C. Aitken

Why dozenal is superior to decimal.

1179

An Excursion in Numbers

F. Emerson Andrews

Why dozens are a better base than decimal.

1152

My Love Affair with Dozens

F. Emerson Andrews

How Andrews fell in love with dozenal.

1184

Reflections on the DSGB

Prof. Gene Zirkel

Some reflections on the Dozenal Society of Great Britain.

11E5

DSA Constitution and Bylaws

Dozenal Society of America

The current Constitution and bylaws of the DSA.

1197

Dozenal Frequently Asked Questions

Michael deVlieger

A comprehensive explanation of the benefits of the dozenal base.

11E7

Some Notes on the History and Desirability of Using Alternate Number Bases in Arithmetic

Christopher J. Osburn

11E5

Analysis of Multiplication Tables

Michael deVlieger

Comparing the traits of various bases' multiplication tables.

11E7

Antipatio al Aritmetiko

Ralph Beard

Ralph Beard makes the case for dozenalism in Esperanto.

1171

The Aspirant's Tests

Dozenal Society of America

Tests for proficiency in the dozenal system.

TGM: A Coherent Dozenal Metrology

Tom Pendlebury / Donald P. Goodman III

Description of the TGM complete dozenal system of weights and measures.

11E8

Boxes & Cans: Some Points on Packaging

Troy

Dozenal's advantages in packaging

1193

Dozens vs. Tens

Thomas Leech, F.C.S.

Defense of dozenal notation for arithmetic, weights, measures, and money.

10E6

Dozenal Divisibility Tests Quick Guide

Treisaran

Dozenal divisibility tests

11E9

Systems of Numeration: A Plea for the Duodecimal

Rev. Thomas J. A. Freeman, S.J.

An early plea for the adoption of the dozenal base.

1119

The Number Rhyme

Donald P. Goodman III

A simple rhyme teaching counting and the basic characteristics of number one to a dozen.

11E9

RAENBO Dozenals

Timothy Travis

Travis' RAENBO system of dozenals.

11E9

Duodenal System of Arithmetic, Measures, Weights and Coins

John William Nystrom

A defense of dozenal arithmetic and measurement, along with proposed symbols, nomenclature, and metrics.

1103

Laplace sur Douzainisme

Pierre-Simon Laplace

La systeme de la douzaine (la systeme duodecimale) en bref.

109X

Leclerc sur Douzainisme

Georges-Louise Leclerc, Comte de Buffon

Une morceau de Georges-Louis Leclerc, Comte de Buffon, d'avantage de la douzaine dans arithmetique.

1041

Playfair on Dozenalism

John Playfair

An early English defense of the dozenal system.

1067

Systematic Dozenal Nomenclature

John Kodegadulo

Systematic Dozenal Nomenclature

11EX

Twelve vs. Ten

William B. Smith

A brief, turn-of-the-century defense of the dozenal base.

1117

A Rational Solution to the Problem of Weights and Measures

Sidney A. Reeve

A defense of the dozenal system from the perspective of a mechanical engineer.

1127

A Duodecimal Scale

Dr. Edward Brooks

A turn-of-the-century account of dozenal arithmetic and notation.

1104

Filosofia de la numeracion

D. Vicente Pujals de la Bastida

La superioridad de la doce como un base de la numeracion.

1098

De la numeracion que debe preferirse.

D. Vicente Pujals de la Bastida

Cuya base debe elegir?

1098

De Arithmetica

Ioannis Caramuelis (Juan Caramuel y Lobkowitz)

Very early exposition of dozenal.

E48

Rationality

Donald Hammond ("Troy")

The role of ratios in weights and measures.

11X0

The Duodecimal System of Notation

L. H. Vincent

A simple, mostly verbal argument for dozenal.

1131

Collected Works on Reckoning Reform

Sir Isaac Pitman

Collected works of Sir Isaac Pitman on the dozenal base.

10X8

Practical Polygons

Donald Hammond ("Troy")

Numbers considered through polygons.

1196

Mathamerica

Grover Cleveland Perry

A stridently patriotic argument in favor of dozenals from an interwar Protestant American viewpoint.

1149

Against the Metric System

Herbert Spencer

A critique of the metric system (and the customary-imperial system) and a defense of dozenals.

1122

La Zonnomie, ou La Décimale et la Duodécimale

A.-D. Gautier

Un explication de la système de douzainisme, avec des nouveaux chiffres et un système de mesure et d'argent.

10E0

Manual of the Dozenal System

Dozenal Society of America

A short but thorough introduction to dozenals for those really interested in learning and using them.

1200

A Dozenal Primer

Dozenal Society of America

A brief explanation of the dozenal system designed for beginners, in only a dozen pages.

1200

The Duodenary Scale

John Wilkes, Ed.

An exploration of dozenal arithmetic and its advantages.

1078

The Personality of the Integers from One to One Gross

Prof. Jay Schiffman

A scholarly, if brief, exploration of the major properties of the integers between 1 and 100.

11X3

Is the decimal system appropriate for modern mathematics?

Naomi Wray

Ms. Wray gives an excellent examination of the decimal base and its suitability for modern mathematics.

1202

De Numeratione

Brennus Legranus

An erudite and stimulating article concerning the basis and nature of dozenal. In the original Latin.

1203

An Ancient Duodecimal System

Rufus P. Williams

A brief look at the "pure" ancient duodecimal system of measures, primarily in the relation between the foot, pint, and bushel.

1131

Trigons to Triads: A Play on Chords

Donald Hammond ("Troy")

An exploration of triangles, Pythagrean triples, and their unique relationship to dozens

119E