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IS0
INTERNATIONAL ORGANIZATION FOR STAN DARDlZATlON
I SO R E CO M M EN D AT I O N
R3
PREFERRED NUMBERS
SERIES OF PREFERRED NUMBERS
Is' EDITION
March 1954
COPYRIGHT RESERVED
The copyright of IS0 Recommendations and IS0 Standards
belongs to IS0 Member Bodies. Reproduction of these
documents, in any country, may be authorized therefore only
by the national standards organization of that country, being
a member of ISO.
For each individual country the only valid standard is the national standard of that country.
Printed in Switzerland
Also issued in French and Russian. Copies to be obtained through the national standards organizations.
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FOREWORD
This IS0 Recommendation H 3 was prepared by Technical Committee
ISO/TC 19 - Preferred Numbers, the Secretariat of which is held by the
Association Française de Normalisation (AFNOR).
From the time of its creation this Technical Committee has been engaged
in the study of the subject of this recommendation, taking into account ISA
Bulletin No. 11-Preferred numbers, which was issued by the former Inter-
national Federation of the National Standardizing Associations (ISA).
During its first meeting in Paris in June 1949, the Technical Committee
decided to complete the table in ISA Bulletin No. 11 by a series R 80.
The Secretariat of the Technical Committee prepared three successive
draft proposals, the second of which was discussed by Sub-committee ISO/TC
19/SC 1 during its first meeting (Paris, October 1950).
The third draft proposal, circulated in April 1951, was adopted by the
Technical Committee by correspondence as a Draft IS0 Recommendation.
This Draft IS0 Recommendation (No. 7) was submitted on 31 October 1951
to all IS0 Member Bodies, and received the approval of the majority.
At its second plenary meeting (New York, June 1952) and its third plenary
meeting (The Hague, May 1953) the Technical Committee examined the com-
ments submitted by various Member Bodies and amended the Draft slightly.
The revised text, which forms the present Recommendation, was circulated
to all IS0 Member Bodies on 24 June 1953.
The following 25 Member Bodies approved Draft IS0 Recommendation
No. 7 in its revised form :
Australia India Spain
Austria Israel Sweden
Belgium Italy Switzerland
Chile Mexico Union of South Africa
Denmark Netherlands United Kingdom
Finland New Zealand U.S.A.
France Norway U.S.S.R.
Germany Portugal Yugoslavia
Hungary
During its Meeting in Geneva from 7 to 10 July 1953, the IS0 Council
decided to accept the revised text as an IS0 RECOMMENDATION (Reso-
lution No. 7, Council 1953).
In September 1953, this Recommendation was also accepted by Canada.
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lSO/R 3 - 1953 (E)
IS0 Recommendation R3 July 1953
PREFERRED NUMBERS - SERIES OF PREFERRED NUMBERS
1. BASIC SERIES OF PREFERRED NUMBERS
~~_______
Theoretical values
Percentage differences
Basic series
Serial
between basic
Mantissae
Calculated
series aiid calculated
number
of
val LI es values
logarithms
R 10
R5 R 20 R 40
(1) (3) (4)
(5) (7)
1.00 1.00 1.00 1.00 O
O00 1 .O000 0
1.06 1 025 1 .O593
+ 0.07
1.12 1.12
2 050 1.1220 - 0.18
1.18 3 075 1.1885
- o.ï1
1.25 1.25 1.25 4 100
1.2589 - 0.71
1.32 5 125 1.3335 - 1.01
1.40 1.40 6
150 1.4125 - 0.88
1.50 7 lï5 1.4962
+ 0.25
1.60 1.60 1.60 1.60 8 200 1.5849
+ 0.95
9
1.70 225 1.6788 + 1.26
1.80 1.80 10
250 1.7783 + 1.22
1.90 11 275 1.8836
+ 0.87
2.00 2.00 2.00 12 300 1.9053
+ 0.24
2.12 13
325 2.1135 + 0.31
2.24 2.24 14 350 2.2387
+ 0.06
2.36 15 375 2.3714 - 0.48
2.50
2.50 2.50 2.50 16 400 2.5119 - 0.47
2.65 17
425 2.6607 - 0.40
2.80 2.80 18 450 2.8184
- 0.65
19
3.00 475 2.9854 + 0.49
3.15 3.15 3.15
20 500 3.1623 - 0.39
3.35 21 3.3497
525 + 0.01
3.55 3.55 22 550 3.5481 + 0.05
3.75 23
575 3.7584 - 0.22
4.00 4.00 4.00 24
4.00 600 3.9811 + 0.47
4.25 25 625 4.2170 + 0.78
4.50 4.50 26
650 4.4668 + 0.74
4.75 27
675 4.7315 + 0.39
5.00 5.00 5.00 28 700 5.0119
- 0.24
5.30 29 725 5.3088 - 0.17
5.60 5.60 30 5.6234
750 - 0.42
6.00 31 775 5.9566 + 0.73
6.30 6.30 6.30 6.30 32 800 6.3096 - 0.15
33
6.70 825 6.6834 + 0.25
7.10 7.10 34 850 7.0795 + 0.29
35
7.50 875 7.4989 + 0.01
8.00 8.00 8.00 36 900 7.9433 + 0.71
37
8.50 925 8.4140 + 1.02
9.00 9.00 38 950 8.9125 + 0.98
39
9.50 975 9.4406 + 0.63
40 10.0000 0
10.00 10.00 10.00 10.00 O00
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ISO/R
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