Seal of the DSA

Join Us!

Dozenal Society of America

Promoting base twelve and alternative base mathematics

Support the DSA

Donate

Follow Us

Icon for DSA's Facebook

Icon for DSA's RSS

Share This Page

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.

The Duodecimal Bulletin: Historical Summary

Listing only Vol. + No. | Whole Number of each issue and the year of publication, this is a simple list of the entire history of the Bulletin.

Vol. 1 No. 1 | Whole Number 0 (Year 1161_z | 1945_d)

Vol. 1 No. 2 | Whole Number 1 (Year 1161_z | 1945_d)

Vol. 1 No. 3 | Whole Number 2 (Year 1161_z | 1945_d)

Vol. 2 No. 1 | Whole Number 3 (Year 1162_z | 1946_d)

Vol. 2 No. 2 | Whole Number 4 (Year 1162_z | 1946_d)

Vol. 3 No. 1 | Whole Number 5 (Year 1163_z | 1947_d)

Vol. 3 No. 2 | Whole Number 6 (Year 1163_z | 1947_d)

Vol. 3 No. 3 | Whole Number 7 (Year 1163_z | 1947_d)

Vol. 3 No. 4 | Whole Number 8 (Year 1163_z | 1947_d)

Vol. 4 No. 1 | Whole Number 9 (Year 1164_z | 1948_d)

Vol. 4 No. 2 | Whole Number A (Year 1164_z | 1948_d)

Vol. 4 No. 3 | Whole Number B (Year 1164_z | 1948_d)

Vol. 5 No. 1 | Whole Number 10_z (Year 1165_z | 1949_d)

Vol. 5 No. 2 | Whole Number 11_z (Year 1165_z | 1949_d)

Vol. 6 No. 1 | Whole Number 12_z (Year 1166_z | 1950_d)

Vol. 6 No. 2 | Whole Number 13_z (Year 1166_z | 1950_d)

Vol. 6 No. 3 | Whole Number 14_z (Year 1166_z | 1950_d)

Vol. 7 No. 1 | Whole Number 15_z (Year 1167_z | 1951_d)

Vol. 8 No. 1 | Whole Number 16_z (Year 1168_z | 1952_d)

Vol. 8 No. 2 | Whole Number 17_z (Year 1168_z | 1952_d)

Vol. 9 No. 1 | Whole Number 18_z (Year 1169_z | 1953_d)

Vol. A No. 1 | Whole Number 19_z (Year 116A_z | 1954_d)

Vol. B No. 1 | Whole Number 1A_z (Year 116B_z | 1955_d)

Vol. B No. 2 | Whole Number 1B_z (Year 116B_z | 1955_d)

Vol. 10_z No. 1 | Whole Number 20_z (Year 1170_z | 1956_d)

Vol. 10_z No. 2 | Whole Number 21_z (Year 1170_z | 1956_d)

Vol. 11_z No. 1 | Whole Number 22_z (Year 1171_z | 1957_d)

Vol. 11_z No. 2 | Whole Number 23_z (Year 1171_z | 1957_d)

Vol. 12_z No. 1 | Whole Number 24_z (Year 1172_z | 1958_d)

Vol. 12_z No. 2 | Whole Number 25_z (Year 1172_z | 1958_d)

Vol. 13_z No. 1 | Whole Number 26_z (Year 1173_z | 1959_d)

Vol. 13_z No. 2 | Whole Number 27_z (Year 1173_z | 1959_d)

Vol. 14_z No. 1 | Whole Number 28_z (Year 1174_z | 1960_d)

Vol. 14_z No. 2 | Whole Number 29_z (Year 1174_z | 1960_d)

Vol. 15_z No. 1 | Whole Number 2A_z (Year 1175_z | 1961_d)

Vol. 15_z No. 2 | Whole Number 2B_z (Year 1175_z | 1961_d)

Vol. 16_z No. 1 | Whole Number 30_z (Year 1176_z | 1962_d)

Vol. 17_z No. 1 | Whole Number 31_z (Year 1178_z | 1964_d)

Vol. 18_z No. 1 | Whole Number 32_z (Year 1179_z | 1965_d)

Vol. 19_z No. 1 | Whole Number 33_z (Year 117A_z | 1966_d)

Vol. 19_z No. 2 | Whole Number 34_z (Year 117A_z | 1966_d)

Vol. 1A_z No. 0 | Whole Number 35_z (Year 117B_z | 1967_d)

Vol. 1B_z No. 1 | Whole Number 36_z (Year 1180_z | 1968_d)

Vol. 1B_z No. 2 | Whole Number 37_z (Year 1180_z | 1968_d)

Vol. 20_z No. 0 | Whole Number 38_z (Year 1181_z | 1969_d)

Vol. 21_z No. 0 | Whole Number 39_z (Year 1182_z | 1970_d)

Vol. 22_z No. 0 | Whole Number 3A_z (Year 1183_z | 1971_d)

Vol. 23_z No. 0 | Whole Number 3B_z (Year 1184_z | 1972_d)

Vol. 24_z No. 0 | Whole Number 40_z (Year 1185_z | 1973_d)

Vol. 25_z No. 1 | Whole Number 41_z (Year 1186_z | 1974_d)

Vol. 26_z No. 1 | Whole Number 42_z (Year 1191_z | 1981_d)

Vol. 27_z No. 1 | Whole Number 43_z (Year 1192_z | 1982_d)

Vol. 27_z No. 2 | Whole Number 44_z (Year 1192_z | 1982_d)

Vol. 27_z No. 3 | Whole Number 45_z (Year 1192_z | 1982_d)

Vol. 28_z No. 1 | Whole Number 46_z (Year 1193_z | 1983_d)

Vol. 28_z No. 2 | Whole Number 47_z (Year 1193_z | 1983_d)

Vol. 28_z No. 3 | Whole Number 48_z (Year 1193_z | 1983_d)

Vol. 29_z No. 1 | Whole Number 49_z (Year 1194_z | 1984_d)

Vol. 29_z No. 2 | Whole Number 4A_z (Year 1194_z | 1984_d)

Vol. 29_z No. 3 | Whole Number 4B_z (Year 1194_z | 1984_d)

Vol. 2A_z No. 1 | Whole Number 50_z (Year 1195_z | 1985_d)

Vol. 2A_z No. 2 | Whole Number 51_z (Year 1195_z | 1985_d)

Vol. 2A_z No. 3 | Whole Number 52_z (Year 1195_z | 1985_d)

Vol. 2B_z No. 1 | Whole Number 53_z (Year 1196_z | 1986_d)

Vol. 2B_z No. 2 | Whole Number 54_z (Year 1196_z | 1986_d)

Vol. 2B_z No. 3 | Whole Number 55_z (Year 1196_z | 1986_d)

Vol. 30_z No. 1 | Whole Number 56_z (Year 1197_z | 1987_d)

Vol. 30_z No. 2 | Whole Number 57_z (Year 1197_z | 1987_d)

Vol. 30_z No. 3 | Whole Number 58_z (Year 1197_z | 1987_d)

Vol. 31_z No. 1 | Whole Number 59_z (Year 1198_z | 1988_d)

Vol. 31_z No. 2 | Whole Number 5A_z (Year 1198_z | 1988_d)

Vol. 31_z No. 3 | Whole Number 5B_z (Year 1198_z | 1988_d)

Vol. 31_z No. 4 | Whole Number 60_z (Year 1198_z | 1988_d)

Vol. 32_z No. 1 | Whole Number 61_z (Year 1199_z | 1989_d)

Vol. 32_z No. 2 | Whole Number 62_z (Year 1199_z | 1989_d)

Vol. 32_z No. 3 | Whole Number 63_z (Year 1199_z | 1989_d)

Vol. 33_z No. 1 | Whole Number 64_z (Year 119A_z | 1990_d)

Vol. 33_z No. 2 | Whole Number 65_z (Year 119A_z | 1990_d)

Vol. 33_z No. 3 | Whole Number 66_z (Year 119A_z | 1990_d)

Vol. 34_z No. 1 | Whole Number 67_z (Year 119B_z | 1991_d)

Vol. 34_z No. 2 | Whole Number 68_z (Year 119B_z | 1991_d)

Vol. 34_z No. 3 | Whole Number 69_z (Year 119B_z | 1991_d)

Vol. 35_z No. 1 | Whole Number 6A_z (Year 11A0_z | 1992_d)

Vol. 35_z No. 2 | Whole Number 6B_z (Year 11A0_z | 1992_d)

Vol. 36_z No. 1 | Whole Number 70_z (Year 11A1_z | 1993_d)

Vol. 36_z No. 2 | Whole Number 71_z (Year 11A1_z | 1993_d)

Vol. 37_z No. 1 | Whole Number 72_z (Year 11A2_z | 1994_d)

Vol. 37_z No. 2 | Whole Number 73_z (Year 11A2_z | 1994_d)

Vol. 38_z No. 1 | Whole Number 74_z (Year 11A3_z | 1995_d)

Vol. 38_z No. 2 | Whole Number 75_z (Year 11A3_z | 1995_d)

Vol. 39_z No. 1 | Whole Number 76_z (Year 11A4_z | 1996_d)

Vol. 39_z No. 2 | Whole Number 77_z (Year 11A4_z | 1996_d)

Vol. 3A_z No. 1 | Whole Number 78_z (Year 11A5_z | 1997_d)

Vol. 3A_z No. 2 | Whole Number 79_z (Year 11A5_z | 1997_d)

Vol. 3B_z No. 1 | Whole Number 7A_z (Year 11A6_z | 1998_d)

Vol. 3B_z No. 2 | Whole Number 7B_z (Year 11A6_z | 1998_d)

Vol. 40_z No. 1 | Whole Number 80_z (Year 11A7_z | 1999_d)

Vol. 40_z No. 2 | Whole Number 81_z (Year 11A7_z | 1999_d)

Vol. 41_z No. 1 | Whole Number 82_z (Year 11A8_z | 2000_d)

Vol. 41_z No. 2 | Whole Number 83_z (Year 11A8_z | 2000_d)

Vol. 42_z No. 1 | Whole Number 84_z (Year 11A9_z | 2001_d)

Vol. 42_z No. 2 | Whole Number 85_z (Year 11A9_z | 2001_d)

Vol. 43_z No. 1 | Whole Number 86_z (Year 11AA_z | 2002_d)

Vol. 43_z No. 2 | Whole Number 87_z (Year 11AA_z | 2002_d)

Vol. 44_z No. 1 | Whole Number 88_z (Year 11AB_z | 2003_d)

Vol. 44_z No. 2 | Whole Number 89_z (Year 11AB_z | 2003_d)

Vol. 45_z No. 1 | Whole Number 8A_z (Year 11B0_z | 2004_d)

Vol. 45_z No. 2 | Whole Number 8B_z (Year 11B0_z | 2004_d)

Vol. 46_z No. 1 | Whole Number 90_z (Year 11B1_z | 2005_d)

Vol. 46_z No. 2 | Whole Number 91_z (Year 11B1_z | 2005_d)

Vol. 47_z No. 1 | Whole Number 92_z (Year 11B2_z | 2006_d)

Vol. 47_z No. 2 | Whole Number 93_z (Year 11B2_z | 2006_d)

Vol. 48_z No. 1 | Whole Number 94_z (Year 11B3_z | 2007_d)

Vol. 48_z No. 2 | Whole Number 95_z (Year 11B3_z | 2007_d)

Vol. 49_z No. 1 | Whole Number 96_z (Year 11B4_z | 2008_d)

Vol. 49_z No. 2 | Whole Number 97_z (Year 11B4_z | 2008_d)

Vol. 4A_z No. 1 | Whole Number 98_z (Year 11B5_z | 2009_d)

Vol. 4A_z No. 2 | Whole Number 99_z (Year 11B6_z | 2010_d)

Vol. 4B_z No. 1 | Whole Number 9A_z (Year 11B6_z | 2010_d)

Vol. 4B_z No. 2 | Whole Number 9B_z (Year 11B6_z | 2010_d)

Vol. 50_z No. 1 | Whole Number A0_z (Year 11B7_z | 2011_d)

Vol. 51_z No. 1 | Whole Number A1_z (Year 11B9_z | 2013_d)

Vol. 52_z No. 1 | Whole Number A2_z (Year 11BB_z | 2015_d)

Vol. 53_z No. 1 | Whole Number A3_z (Year 1203_z | 2019_d)

Vol. 54_z No. 1 | Whole Number A4_z (Year 1206_z | 2022_d)

Vol. 55_z No. 1 | Whole Number A5_z (Year 1209_z | 2025_d)

Copyright © 11B9–120A_z (2013–2026_d). 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., 2014_d = 11BA_z = 7DE_x.

(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., 0.5_d = 0.6_z = 0.8_x

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

EACH ONE, TEACH ONE.