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Available in 5 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-5" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">5 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Renard-Serie" title="Renard-Serie – German" lang="de" hreflang="de" data-title="Renard-Serie" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Dimension_lin%C3%A9aire_nominale" title="Dimension linéaire nominale – French" lang="fr" hreflang="fr" data-title="Dimension linéaire nominale" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Serie_di_R%C3%A9nard" title="Serie di Rénard – Italian" lang="it" hreflang="it" data-title="Serie di Rénard" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Renard-rekke" title="Renard-rekke – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Renard-rekke" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/S%C3%A9ries_de_Renard" title="Séries de Renard – Portuguese" lang="pt" hreflang="pt" data-title="Séries de Renard" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q28031362#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" 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<div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">System of preferred numbers</div> <p> <b>Renard series</b> are a system of <a href="/wiki/Preferred_number" title="Preferred number">preferred numbers</a> dividing an interval from 1 to 10 into 5, 10, 20, or 40 steps.<sup id="cite_ref-ISO_3_1973_1-0" class="reference"><a href="#cite_note-ISO_3_1973-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> This set of preferred numbers was proposed ca. 1877 by French army engineer Colonel <a href="/wiki/Charles_Renard" title="Charles Renard">Charles Renard</a><sup id="cite_ref-Kienzle_1950_2-0" class="reference"><a href="#cite_note-Kienzle_1950-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Paulin_2007_3-0" class="reference"><a href="#cite_note-Paulin_2007-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Sizes_2014_4-0" class="reference"><a href="#cite_note-Sizes_2014-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> and reportedly published in an 1886 instruction for <a href="/wiki/Tethered_balloon" title="Tethered balloon">captive balloon</a> troops, thus receiving the current name in 1920s.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> His system was adopted by the <a href="/wiki/ISO" class="mw-redirect" title="ISO">ISO</a> in 1949<sup id="cite_ref-ISO_17_1973_6-0" class="reference"><a href="#cite_note-ISO_17_1973-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> to form the <b>ISO Recommendation R3</b>, first published in 1953<sup id="cite_ref-GOVPUB-C13_XNBSA_7-0" class="reference"><a href="#cite_note-GOVPUB-C13_XNBSA-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> or 1954, which evolved into the <a href="/wiki/International_standard" title="International standard">international standard</a> <b>ISO 3</b>.<sup id="cite_ref-ISO_3_1973_1-1" class="reference"><a href="#cite_note-ISO_3_1973-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> The factor between two consecutive numbers in a Renard series is approximately constant (before rounding), namely the 5th, 10th, 20th, or 40th root of 10 (approximately 1.58, 1.26, 1.12, and 1.06, respectively), which leads to a <a href="/wiki/Geometric_sequence" class="mw-redirect" title="Geometric sequence">geometric sequence</a>. This way, the maximum <a href="/wiki/Relative_error" class="mw-redirect" title="Relative error">relative error</a> is minimized if an arbitrary number is replaced by the nearest Renard number multiplied by the appropriate power of 10. One application of the Renard series of numbers is the current rating of <a href="/wiki/Fuse_(electrical)" title="Fuse (electrical)">electric fuses</a>. Another common use is the voltage rating of capacitors (e.g. 100 V, 160 V, 250 V, 400 V, 630 V). </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Preferred_numbers.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Preferred_numbers.svg/220px-Preferred_numbers.svg.png" decoding="async" width="220" height="275" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Preferred_numbers.svg/330px-Preferred_numbers.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Preferred_numbers.svg/440px-Preferred_numbers.svg.png 2x" data-file-width="512" data-file-height="640" /></a><figcaption>Comparison of preferred numbers of the 1-2-5, Renard and f-stop series on a logarithmic scale divided into 40 equal intervals (blue)</figcaption></figure> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Base_series">Base series</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=1" title="Edit section: Base series"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The most basic R5 series consists of these five rounded numbers, which are powers of the fifth root of 10, rounded to two digits. The Renard numbers are not always rounded to the closest three-digit number to the theoretical geometric sequence: </p> <dl><dd>R5: 1.00 1.60 2.50 4.00 6.30</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Examples">Examples</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=2" title="Edit section: Examples"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>If some design constraints were assumed so that two screws in a gadget should be placed between 32 mm and 55 mm apart, the resulting length would be 40 mm, because 4 is in the R5 series of preferred numbers.</li> <li>If a set of nails with lengths between roughly 15 and 300 mm should be produced, then the application of the R5 series would lead to a product repertoire of 16 mm, 25 mm, 40 mm, 63 mm, 100 mm, 160 mm, and 250 mm long nails.</li> <li>If <a href="/wiki/English_wine_cask_units" title="English wine cask units">traditional English wine cask sizes</a> had been metricated, the <a href="/wiki/Rundlet" title="Rundlet">rundlet</a> (18 <a href="/wiki/Gallon" title="Gallon">gallons</a>, ca 68 liters), <a href="/wiki/Barrel_(unit)" title="Barrel (unit)">barrel</a> (31.5 gal., ca 119 liters), <a href="/wiki/Tierce_(unit)" title="Tierce (unit)">tierce</a> (42 gal., ca 159 liters), <a href="/wiki/Hogshead" title="Hogshead">hogshead</a> (63 gal., ca 239 liters), <a href="/wiki/Puncheon_(unit)" title="Puncheon (unit)">puncheon</a> (84 gal., ca 318 liters), <a href="/wiki/Butt_(unit)" title="Butt (unit)">butt</a> (126 gal., ca 477 liters) and <a href="/wiki/Tun_(unit)" title="Tun (unit)">tun</a> (252 gal., ca 954 liters) could have become 63 (or 60 by R″5), 100, 160 (or 150), 250, 400, 630 (or 600) and 1000 liters, respectively.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Alternative_series">Alternative series</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=3" title="Edit section: Alternative series"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>If a finer resolution is needed, another five numbers are added to the series, one after each of the original R5 numbers, and one ends up with the R10 series. These are rounded to a multiple of 0.05. Where an even finer grading is needed, the R20, R40, and R80 series can be applied. The R20 series is usually rounded to a multiple of 0.05, and the R40 and R80 values interpolate between the R20 values, rather than being powers of the 80th root of 10 rounded correctly. In the table below, the additional R80 values are written to the right of the R40 values in the column named "R80 add'l". The R40 numbers 3.00 and 6.00 are higher than they "should" be by interpolation, in order to give rounder numbers. </p><p>In some applications more rounded values are desirable, either because the numbers from the normal series would imply an unrealistically high accuracy, or because an integer value is needed (e.g., the number of teeth in a gear). For these needs, more rounded versions of the Renard series have been defined in ISO 3. In the table below, rounded values that differ from their less rounded counterparts are shown in bold. </p> <style data-mw-deduplicate="TemplateStyles:r1216972533">.mw-parser-output .col-begin{border-collapse:collapse;padding:0;color:inherit;width:100%;border:0;margin:0}.mw-parser-output .col-begin-small{font-size:90%}.mw-parser-output .col-break{vertical-align:top;text-align:left}.mw-parser-output .col-break-2{width:50%}.mw-parser-output .col-break-3{width:33.3%}.mw-parser-output .col-break-4{width:25%}.mw-parser-output .col-break-5{width:20%}@media(max-width:720px){.mw-parser-output .col-begin,.mw-parser-output .col-begin>tbody,.mw-parser-output .col-begin>tbody>tr,.mw-parser-output .col-begin>tbody>tr>td{display:block!important;width:100%!important}.mw-parser-output .col-break{padding-left:0!important}}</style><div> <table class="col-begin" role="presentation" style="width: auto;"> <tbody><tr> <td class="col-break"> <table class="wikitable"> <tbody><tr> <th colspan="5">least rounded </th></tr> <tr> <th bgcolor="#e2e2e2">R5 </th> <th bgcolor="#ffe2e2">R10 </th> <th bgcolor="#ffffe2">R20 </th> <th bgcolor="#e2ffe2">R40 </th> <th bgcolor="#e2ffe2">R80 <small title="additional">add'l</small> </th></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">1.00 </td> <td rowspan="4" bgcolor="#ffe2e2">1.00 </td> <td rowspan="2" bgcolor="#ffffe2">1.00 </td> <td bgcolor="#e2ffe2">1.00 </td> <td bgcolor="#cce2ff">1.03 </td></tr> <tr> <td bgcolor="#e2ffe2">1.06 </td> <td bgcolor="#cce2ff">1.09 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.12 </td> <td bgcolor="#e2ffe2">1.12 </td> <td bgcolor="#cce2ff">1.15 </td></tr> <tr> <td bgcolor="#e2ffe2">1.18 </td> <td bgcolor="#cce2ff">1.22 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">1.25 </td> <td rowspan="2" bgcolor="#ffffe2">1.25 </td> <td bgcolor="#e2ffe2">1.25 </td> <td bgcolor="#cce2ff">1.28 </td></tr> <tr> <td bgcolor="#e2ffe2">1.32 </td> <td bgcolor="#cce2ff">1.36 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.40 </td> <td bgcolor="#e2ffe2">1.40 </td> <td bgcolor="#cce2ff">1.45 </td></tr> <tr> <td bgcolor="#e2ffe2">1.50 </td> <td bgcolor="#cce2ff">1.55 </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">1.60 </td> <td rowspan="4" bgcolor="#ffe2e2">1.60 </td> <td rowspan="2" bgcolor="#ffffe2">1.60 </td> <td bgcolor="#e2ffe2">1.60 </td> <td bgcolor="#cce2ff">1.65 </td></tr> <tr> <td bgcolor="#e2ffe2">1.70 </td> <td bgcolor="#cce2ff">1.75 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.80 </td> <td bgcolor="#e2ffe2">1.80 </td> <td bgcolor="#cce2ff">1.85 </td></tr> <tr> <td bgcolor="#e2ffe2">1.90 </td> <td bgcolor="#cce2ff">1.95 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">2.00 </td> <td rowspan="2" bgcolor="#ffffe2">2.00 </td> <td bgcolor="#e2ffe2">2.00 </td> <td bgcolor="#cce2ff">2.06 </td></tr> <tr> <td bgcolor="#e2ffe2">2.12 </td> <td bgcolor="#cce2ff">2.18 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">2.24 </td> <td bgcolor="#e2ffe2">2.24 </td> <td bgcolor="#cce2ff">2.30 </td></tr> <tr valign="top"> <td bgcolor="#e2ffe2">2.36 </td> <td bgcolor="#cce2ff">2.43 </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">2.50 </td> <td rowspan="4" bgcolor="#ffe2e2">2.50 </td> <td rowspan="2" bgcolor="#ffffe2">2.50 </td> <td bgcolor="#e2ffe2">2.50 </td> <td bgcolor="#cce2ff">2.58 </td></tr> <tr> <td bgcolor="#e2ffe2">2.65 </td> <td bgcolor="#cce2ff">2.72 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">2.80 </td> <td bgcolor="#e2ffe2">2.80 </td> <td bgcolor="#cce2ff">2.90 </td></tr> <tr> <td bgcolor="#e2ffe2">3.00 </td> <td bgcolor="#cce2ff">3.07 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">3.15 </td> <td rowspan="2" bgcolor="#ffffe2">3.15 </td> <td bgcolor="#e2ffe2">3.15 </td> <td bgcolor="#cce2ff">3.25 </td></tr> <tr> <td bgcolor="#e2ffe2">3.35 </td> <td bgcolor="#cce2ff">3.45 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">3.55 </td> <td bgcolor="#e2ffe2">3.55 </td> <td bgcolor="#cce2ff">3.65 </td></tr> <tr> <td bgcolor="#e2ffe2">3.75 </td> <td bgcolor="#cce2ff">3.87 </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">4.00 </td> <td rowspan="4" bgcolor="#ffe2e2">4.00 </td> <td rowspan="2" bgcolor="#ffffe2">4.00 </td> <td bgcolor="#e2ffe2">4.00 </td> <td bgcolor="#cce2ff">4.12 </td></tr> <tr> <td bgcolor="#e2ffe2">4.25 </td> <td bgcolor="#cce2ff">4.37 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">4.50 </td> <td bgcolor="#e2ffe2">4.50 </td> <td bgcolor="#cce2ff">4.62 </td></tr> <tr> <td bgcolor="#e2ffe2">4.75 </td> <td bgcolor="#cce2ff">4.87 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">5.00 </td> <td rowspan="2" bgcolor="#ffffe2">5.00 </td> <td bgcolor="#e2ffe2">5.00 </td> <td bgcolor="#cce2ff">5.15 </td></tr> <tr> <td bgcolor="#e2ffe2">5.30 </td> <td bgcolor="#cce2ff">5.45 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">5.60 </td> <td bgcolor="#e2ffe2">5.60 </td> <td bgcolor="#cce2ff">5.75 </td></tr> <tr> <td bgcolor="#e2ffe2">6.00 </td> <td bgcolor="#cce2ff">6.15 </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">6.30 </td> <td rowspan="4" bgcolor="#ffe2e2">6.30 </td> <td rowspan="2" bgcolor="#ffffe2">6.30 </td> <td bgcolor="#e2ffe2">6.30 </td> <td bgcolor="#cce2ff">6.50 </td></tr> <tr> <td bgcolor="#e2ffe2">6.70 </td> <td bgcolor="#cce2ff">6.90 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">7.10 </td> <td bgcolor="#e2ffe2">7.10 </td> <td bgcolor="#cce2ff">7.30 </td></tr> <tr> <td bgcolor="#e2ffe2">7.50 </td> <td bgcolor="#cce2ff">7.75 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">8.00 </td> <td rowspan="2" bgcolor="#ffffe2">8.00 </td> <td bgcolor="#e2ffe2">8.00 </td> <td bgcolor="#cce2ff">8.25 </td></tr> <tr> <td bgcolor="#e2ffe2">8.50 </td> <td bgcolor="#cce2ff">8.75 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">9.00 </td> <td bgcolor="#e2ffe2">9.00 </td> <td bgcolor="#cce2ff">9.25 </td></tr> <tr> <td bgcolor="#e2ffe2">9.50 </td> <td bgcolor="#cce2ff">9.75 </td></tr> <tr valign="top"> <td bgcolor="#e2e2e2">10.0 </td> <td bgcolor="#ffe2e2">10.0 </td> <td bgcolor="#ffffe2">10.0 </td> <td bgcolor="#e2ffe2">10.0 </td> <td bgcolor="#cce2ff">— </td></tr></tbody></table> </td> <td class="col-break"> <table class="wikitable" style="text-align:center;"> <tbody><tr> <th colspan="3">medium rounded </th></tr> <tr> <th bgcolor="#ffe2e2">R′10 </th> <th bgcolor="#ffffe2">R′20 </th> <th bgcolor="#e2ffe2">R′40 </th></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">1.00 </td> <td rowspan="2" bgcolor="#ffffe2">1.00 </td> <td bgcolor="#e2ffe2">1.00 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>1.05</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>1.10</b> </td> <td bgcolor="#e2ffe2"><b>1.10</b> </td></tr> <tr> <td bgcolor="#e2ffe2"><b>1.20</b> </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">1.25 </td> <td rowspan="2" bgcolor="#ffffe2">1.25 </td> <td bgcolor="#e2ffe2">1.25 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>1.30</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.40 </td> <td bgcolor="#e2ffe2">1.40 </td></tr> <tr> <td bgcolor="#e2ffe2">1.50 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">1.60 </td> <td rowspan="2" bgcolor="#ffffe2">1.60 </td> <td bgcolor="#e2ffe2">1.60 </td></tr> <tr> <td bgcolor="#e2ffe2">1.70 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.80 </td> <td bgcolor="#e2ffe2">1.80 </td></tr> <tr> <td bgcolor="#e2ffe2">1.90 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">2.00 </td> <td rowspan="2" bgcolor="#ffffe2">2.00 </td> <td bgcolor="#e2ffe2">2.00 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>2.10</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>2.20</b> </td> <td bgcolor="#e2ffe2"><b>2.20</b> </td></tr> <tr valign="top"> <td bgcolor="#e2ffe2"><b>2.40</b> </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">2.50 </td> <td rowspan="2" bgcolor="#ffffe2">2.50 </td> <td bgcolor="#e2ffe2">2.50 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>2.60</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">2.80 </td> <td bgcolor="#e2ffe2">2.80 </td></tr> <tr> <td bgcolor="#e2ffe2">3.00 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2"><b>3.20</b> </td> <td rowspan="2" bgcolor="#ffffe2"><b>3.20</b> </td> <td bgcolor="#e2ffe2"><b>3.20</b> </td></tr> <tr> <td bgcolor="#e2ffe2"><b>3.40</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>3.60</b> </td> <td bgcolor="#e2ffe2"><b>3.60</b> </td></tr> <tr> <td bgcolor="#e2ffe2"><b>3.80</b> </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">4.00 </td> <td rowspan="2" bgcolor="#ffffe2">4.00 </td> <td bgcolor="#e2ffe2">4.00 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>4.20</b> </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">4.50 </td> <td bgcolor="#e2ffe2">4.50 </td></tr> <tr> <td bgcolor="#e2ffe2"><b>4.80</b> </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">5.00 </td> <td rowspan="2" bgcolor="#ffffe2">5.00 </td> <td bgcolor="#e2ffe2">5.00 </td></tr> <tr> <td bgcolor="#e2ffe2">5.30 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">5.60 </td> <td bgcolor="#e2ffe2">5.60 </td></tr> <tr> <td bgcolor="#e2ffe2">6.00 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">6.30 </td> <td rowspan="2" bgcolor="#ffffe2">6.30 </td> <td bgcolor="#e2ffe2">6.30 </td></tr> <tr> <td bgcolor="#e2ffe2">6.70 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">7.10 </td> <td bgcolor="#e2ffe2">7.10 </td></tr> <tr> <td bgcolor="#e2ffe2">7.50 </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">8.00 </td> <td rowspan="2" bgcolor="#ffffe2">8.00 </td> <td bgcolor="#e2ffe2">8.00 </td></tr> <tr> <td bgcolor="#e2ffe2">8.50 </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">9.00 </td> <td bgcolor="#e2ffe2">9.00 </td></tr> <tr> <td bgcolor="#e2ffe2">9.50 </td></tr> <tr valign="top"> <td bgcolor="#ffe2e2">10.0 </td> <td bgcolor="#ffffe2">10.0 </td> <td bgcolor="#e2ffe2">10.0 </td></tr></tbody></table> </td> <td class="col-break"> <table class="wikitable" style="text-align:center;"> <tbody><tr> <th colspan="4">most rounded </th></tr> <tr> <th bgcolor="#e2e2e2">R″5 </th> <th bgcolor="#ffe2e2">R″10 </th> <th bgcolor="#ffffe2">R″20 </th> <th bgcolor="#e2ffe2">— </th></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">1.0 </td> <td rowspan="4" bgcolor="#ffe2e2">1.0 </td> <td rowspan="2" bgcolor="#ffffe2">1.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.1 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2"><b>1.2</b> </td> <td rowspan="2" bgcolor="#ffffe2"><b>1.2</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.4 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2"><b>1.5</b> </td> <td rowspan="4" bgcolor="#ffe2e2"><b>1.5</b> </td> <td rowspan="2" bgcolor="#ffffe2">1.6 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">1.8 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">2.0 </td> <td rowspan="2" bgcolor="#ffffe2">2.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">2.2 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">2.5 </td> <td rowspan="4" bgcolor="#ffe2e2">2.5 </td> <td rowspan="2" bgcolor="#ffffe2">2.5 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">2.8 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2"><b>3.0</b> </td> <td rowspan="2" bgcolor="#ffffe2"><b>3.0</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>3.5</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2">4.0 </td> <td rowspan="4" bgcolor="#ffe2e2">4.0 </td> <td rowspan="2" bgcolor="#ffffe2">4.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">4.5 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">5.0 </td> <td rowspan="2" bgcolor="#ffffe2">5.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>5.5</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="8" bgcolor="#e2e2e2"><b>6.0</b> </td> <td rowspan="4" bgcolor="#ffe2e2"><b>6.0</b> </td> <td rowspan="2" bgcolor="#ffffe2"><b>6.0</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2"><b>7.0</b> </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="4" bgcolor="#ffe2e2">8.0 </td> <td rowspan="2" bgcolor="#ffffe2">8.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td rowspan="2" bgcolor="#ffffe2">9.0 </td> <td bgcolor="#e2ffe2">— </td></tr> <tr> <td bgcolor="#e2ffe2">— </td></tr> <tr valign="top"> <td bgcolor="#e2e2e2">10 </td> <td bgcolor="#ffe2e2">10 </td> <td bgcolor="#ffffe2">10 </td> <td bgcolor="#e2ffe2">— </td></tr></tbody></table> <p>  </p> </td></tr></tbody></table></div> <p>As the Renard numbers repeat after every 10-fold change of the scale, they are particularly well-suited for use with <a href="/wiki/SI" class="mw-redirect" title="SI">SI</a> units. It makes no difference whether the Renard numbers are used with <a href="/wiki/Metre" title="Metre">metres</a> or <a href="/wiki/Millimetre" title="Millimetre">millimetres</a>. But one would need to use an appropriate number base to avoid ending up with two incompatible sets of nicely spaced dimensions, if for instance they were applied with both <a href="/wiki/Inch" title="Inch">inches</a> and <a href="/wiki/Foot_(unit)" title="Foot (unit)">feet</a>. In the case of inches and feet a root of 12 would be desirable, that is, <span class="nowrap"><sup style="margin-right: -0.5em; vertical-align: 0.8em;"><i>n</i></sup>√<span style="border-top:1px solid; padding:0 0.1em;">12</span></span> where <i>n</i> is the desired number of divisions within the major step size of twelve. Similarly, a base of two, eight, or sixteen would fit nicely with the binary units commonly found in computer science. </p><p>Each of the Renard sequences can be reduced to a subset by taking every <i>n</i>th value in a series, which is designated by adding the number <i>n</i> after a slash.<sup id="cite_ref-Sizes_2014_4-1" class="reference"><a href="#cite_note-Sizes_2014-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> For example, "R10″/3 (1…1000)" designates a series consisting of every third value in the R″10 series from 1 to 1000, that is, 1, 2, 4, 8, 15, 30, 60, 120, 250, 500, 1000. </p><p>Such narrowing of the general original series brings the opposite idea of deepening the series and to redefine it by a strict simple formula. As the beginning of the <i>selected</i> series seen higher, the {1, 2, 4, 8, ...} series can be defined as binary. That means that the R10 series can be formulated as R10 ≈ bR3 = <span class="nowrap"><sup style="margin-right: -0.5em; vertical-align: 0.8em;">3</sup>√<span style="border-top:1px solid; padding:0 0.1em;">2<sup><i>n</i></sup></span></span>, generating just 9 values of R10, just because of the kind of periodicity. This way rounding is eliminated, as the 3 values of the first period are repeated multiplied by 2. The usual cons however is that the thousand product of such multiplication is shifted slightly: Instead of decadic 1000, the binary 1024 appears, as classics in IT. The pro is that the characteristics is now fully valid, that whatever value multiplied by 2 is also member of the series, any rounding effectively eliminated. The multiplication by 2 is possible in R10 too, to get another members, but the long fractioned numbers complicate the R10 accuracy. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Preferred_numbers" class="mw-redirect" title="Preferred numbers">Preferred numbers</a></li> <li><a href="/wiki/Preferred_metric_sizes" title="Preferred metric sizes">Preferred metric sizes</a></li> <li><a href="/wiki/1-2-5_series" class="mw-redirect" title="1-2-5 series">1-2-5 series</a></li> <li><a href="/wiki/E_series_(preferred_numbers)" class="mw-redirect" title="E series (preferred numbers)">E series (preferred numbers)</a></li> <li><a href="/wiki/Logarithm" title="Logarithm">Logarithm</a></li> <li><a href="/wiki/Decibel" title="Decibel">Decibel</a></li> <li><a href="/wiki/Neper" title="Neper">Neper</a></li> <li><a href="/wiki/Phon" title="Phon">Phon</a></li> <li><a href="/wiki/Nominal_Pipe_Size" title="Nominal Pipe Size">Nominal Pipe Size</a> (NPS)</li> <li><a href="/wiki/Geometric_progression" title="Geometric progression">Geometric progression</a></li></ul> <table class="wikitable" style="margin:0.5em auto; font-size:95%; clear: both;"> <tbody><tr> <td style="width: 30%; text-align: center;">Preceded by<br /><b><a href="/wiki/ISO_2" title="ISO 2">ISO 2</a></b> </td> <td style="text-align: center;"><b>Lists of ISOs</b><br />ISO 3 </td> <td style="width: 30%; text-align: center;">Succeeded by<br /><b><a href="/wiki/ISO_4" title="ISO 4">ISO 4</a></b> </td></tr></tbody></table> <table class="wikitable" style="margin:0.5em auto; font-size:95%; clear: both;"> <tbody><tr> <td style="width: 30%; text-align: center;">Preceded by<br /><b><a href="/wiki/ISO_16" class="mw-redirect" title="ISO 16">ISO 16</a></b> </td> <td style="text-align: center;"><b>Lists of ISOs</b><br />ISO 17 </td> <td style="width: 30%; text-align: center;">Succeeded by<br /><b><a href="/wiki/ISO_18" class="mw-redirect" title="ISO 18">ISO 18</a></b> </td></tr></tbody></table> <p><br /> </p> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-ISO_3_1973-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-ISO_3_1973_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ISO_3_1973_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation book cs1"><a rel="nofollow" class="external text" href="http://www.iso.org/iso/home/store/catalogue_tc/catalogue_detail.htm?csnumber=3564"><i>ISO 3:1973-04 - Preferred Numbers - Series of Preferred Numbers</i></a>. <a href="/wiki/International_Standards_Organization" class="mw-redirect" title="International Standards Organization">International Standards Organization</a> (ISO). April 1973<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-12-18</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+3%3A1973-04+-+Preferred+Numbers+-+Series+of+Preferred+Numbers&rft.pub=International+Standards+Organization+%28ISO%29&rft.date=1973-04&rft_id=http%3A%2F%2Fwww.iso.org%2Fiso%2Fhome%2Fstore%2Fcatalogue_tc%2Fcatalogue_detail.htm%3Fcsnumber%3D3564&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (Replaced: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><i>ISO Recommendation R3-1954 - Preferred Numbers - Series of Preferred Numbers</i>. July 1954.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+Recommendation+R3-1954+-+Preferred+Numbers+-+Series+of+Preferred+Numbers&rft.date=1954-07&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (July 1953))</span> </li> <li id="cite_note-Kienzle_1950-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-Kienzle_1950_2-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKienzle2013" class="citation book cs1 cs1-prop-location-test cs1-prop-interwiki-linked-name cs1-prop-foreign-lang-source"><a href="https://de.wikipedia.org/wiki/Otto_Kienzle_(Ingenieur)" class="extiw" title="de:Otto Kienzle (Ingenieur)">Kienzle, Otto Helmut</a> <span class="cs1-format">[in German]</span> (2013-10-04) [1950]. Written at Hannover, Germany. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=-8q1BgAAQBAJ"><i>Normungszahlen</i></a> [<i>Preferred numbers</i>]. Wissenschaftliche Normung (in German). Vol. 2 (reprint of 1st ed.). Berlin / Göttingen / Heidelberg, Germany: <a href="/wiki/Springer-Verlag_OHG" class="mw-redirect" title="Springer-Verlag OHG">Springer-Verlag OHG</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-3-642-99831-7" title="Special:BookSources/978-3-642-99831-7"><bdi>978-3-642-99831-7</bdi></a><span class="reference-accessdate">. Retrieved <span class="nowrap">2017-11-01</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Normungszahlen&rft.place=Berlin+%2F+G%C3%B6ttingen+%2F+Heidelberg%2C+Germany&rft.series=Wissenschaftliche+Normung&rft.edition=reprint+of+1st&rft.pub=Springer-Verlag+OHG&rft.date=2013-10-04&rft.isbn=978-3-642-99831-7&rft.aulast=Kienzle&rft.aufirst=Otto+Helmut&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D-8q1BgAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (340 pages)</span> </li> <li id="cite_note-Paulin_2007-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-Paulin_2007_3-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPaulin2007" class="citation book cs1 cs1-prop-foreign-lang-source">Paulin, Eugen (2007-09-01). <a rel="nofollow" class="external text" href="http://www.rechenschieber.org/Normzahlen.pdf"><i>Logarithmen, Normzahlen, Dezibel, Neper, Phon - natürlich verwandt!</i></a> [<i>Logarithms, preferred numbers, decibel, neper, phon - naturally related!</i>] <span class="cs1-format">(PDF)</span> (in German). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20161218223050/http://www.rechenschieber.org/Normzahlen.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2016-12-18<span class="reference-accessdate">. Retrieved <span class="nowrap">2016-12-18</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Logarithmen%2C+Normzahlen%2C+Dezibel%2C+Neper%2C+Phon+-+nat%C3%BCrlich+verwandt%21&rft.date=2007-09-01&rft.aulast=Paulin&rft.aufirst=Eugen&rft_id=http%3A%2F%2Fwww.rechenschieber.org%2FNormzahlen.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></span> </li> <li id="cite_note-Sizes_2014-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-Sizes_2014_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Sizes_2014_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://sizes.com/numbers/preferred_numbers.htm">"preferred numbers"</a>. Sizes, Inc. 2014-06-10 [2000]. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20171101233141/https://sizes.com/numbers/preferred_numbers.htm">Archived</a> from the original on 2017-11-01<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-11-01</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=preferred+numbers&rft.pub=Sizes%2C+Inc.&rft.date=2014-06-10&rft_id=http%3A%2F%2Fsizes.com%2Fnumbers%2Fpreferred_numbers.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEngineers1924" class="citation book cs1">Engineers, American Society of Mechanical (1924). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=QmcfAQAAMAAJ&q=Renard"><i>Mechanical Engineering: The Journal of the American Society of Mechanical Engineers</i></a>. American Society of Mechanical Engineers.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Mechanical+Engineering%3A+The+Journal+of+the+American+Society+of+Mechanical+Engineers&rft.pub=American+Society+of+Mechanical+Engineers&rft.date=1924&rft.aulast=Engineers&rft.aufirst=American+Society+of+Mechanical&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DQmcfAQAAMAAJ%26q%3DRenard&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></span> </li> <li id="cite_note-ISO_17_1973-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-ISO_17_1973_6-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><a rel="nofollow" class="external text" href="https://www.iso.org/standard/3602.html"><i>ISO 17:1973-04 - Guide to the use of preferred numbers and of series of preferred numbers</i></a>. <a href="/wiki/International_Standards_Organization" class="mw-redirect" title="International Standards Organization">International Standards Organization</a> (ISO). April 1973. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20171102224012/https://www.iso.org/standard/3602.html">Archived</a> from the original on 2017-11-02<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-11-02</span></span>. <q>[…] Preferred numbers were first utilized in France at the end of the nineteenth century. From 1877 to 1879, Captain Charles Renard, an officer in the engineer corps, made a rational study of the elements necessary in the construction of […] aircraft. He computed the specifications […] according to a grading system […]. Recognizing the advantage to be derived from the geometrical progression, he adopted […] a grading system […] that would yield a tenth multiple of the value […] after every fifth step of the series […] Renard's theory was to substitute […] more rounded but […] practical values […] as a power of 10, positive, nil or negative. He thus obtained […] 10 16 25 40 63 100 […] continued in both directions […] by the symbol R5 […] the R10, R20, R40 series were formed, each adopted ratio being the square root of the preceding one […] The first standardization drafts were drawn up on these bases in Germany by the Normenausschuss der Deutschen Industrie on 13 April 1920, and in France by the Commission permanente de standardisation in document X of 19 December 1921. […] the commission of standardization in the Netherlands proposed their unification […] reached in 1931 […] in June 1932, the International Federation of the National Standardizing Associations organized an international meeting in Milan, where the ISA Technical Committee 32, Preferred numbers, was set up and its Secretariat assigned to France. On 19 September 1934, the ISA Technical Committee 32 held a meeting in Stockholm; sixteen nations were represented: Austria, Belgium, Czechoslovakia, Denmark, Finland, France, Germany, Hungary, Italy, Netherlands, Norway, Poland, Spain, Sweden, Switzerland, U.S.S.R. With the exception of the Spanish, Hungarian and Italian […] the other delegations accepted the draft […] Japan communicated […] its approval […] the international recommendation was laid down in ISA Bulletin 11 (December 1935). […] After the Second World War, the work was resumed by ISO. The Technical Committee ISO/TC 19, Preferred numbers, was set up and France again held the Secretariat. This Committee at its first meeting […] in Paris in July 1949 […] recommended […] preferred numbers defined by […] ISA Bulletin 11, […] R5, R10, R20, R40. This meeting was attended by […] 19 […] nations: Austria, Belgium, Czechoslovakia, Denmark, Finland, France, Hungary, India, Israel, Italy, Netherlands, Norway, Poland, Portugal, Sweden, Switzerland, United Kingdom, U.S.A., U.S.S.R. During […] subsequent meetings in New York in 1952 and […] the Hague in 1953, […] attended also by Germany, […] series R80 was added […] The draft thus amended became ISO Recommendation R3. […]</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+17%3A1973-04+-+Guide+to+the+use+of+preferred+numbers+and+of+series+of+preferred+numbers&rft.pub=International+Standards+Organization+%28ISO%29&rft.date=1973-04&rft_id=https%3A%2F%2Fwww.iso.org%2Fstandard%2F3602.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (Replaced: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><i>ISO Recommendation R17-1956 - Preferred Numbers - Guide to the Use of Preferred Numbers and of Series of Preferred Numbers</i>. 1956.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+Recommendation+R17-1956+-+Preferred+Numbers+-+Guide+to+the+Use+of+Preferred+Numbers+and+of+Series+of+Preferred+Numbers&rft.date=1956&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (1955) and <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><i>ISO R17/A1-1966 - Amendment 1 to ISO Recommendation R17-1955</i>. 1966.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+R17%2FA1-1966+-+Amendment+1+to+ISO+Recommendation+R17-1955&rft.date=1966&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span>)</span> </li> <li id="cite_note-GOVPUB-C13_XNBSA-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-GOVPUB-C13_XNBSA_7-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDe_Simone1971" class="citation book cs1">De Simone, Daniel V. (July 1971). <a rel="nofollow" class="external text" href="https://www.gpo.gov/fdsys/pkg/GOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55/pdf/GOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55.pdf"><i>U.S. Metric Study Interim Report - Engineering Standards</i></a> <span class="cs1-format">(PDF)</span>. Washington, USA: <a href="/wiki/The_National_Bureau_of_Standards" class="mw-redirect" title="The National Bureau of Standards">The National Bureau of Standards</a> (NBS). NBS Special Publication 345-11 (Code: XNBSA). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20171103000715/https://www.gpo.gov/fdsys/pkg/GOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55/pdf/GOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55.pdf">Archived</a> <span class="cs1-format">(PDF)</span> from the original on 2017-11-03<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-11-03</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=U.S.+Metric+Study+Interim+Report+-+Engineering+Standards&rft.place=Washington%2C+USA&rft.pub=The+National+Bureau+of+Standards+%28NBS%29&rft.date=1971-07&rft.aulast=De+Simone&rft.aufirst=Daniel+V.&rft_id=https%3A%2F%2Fwww.gpo.gov%2Ffdsys%2Fpkg%2FGOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55%2Fpdf%2FGOVPUB-C13-59e1dce9a007f7c11f9df0d0a16cca55.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_book" title="Template:Cite book">cite book</a>}}</code>: </span><span class="cs1-visible-error citation-comment"><code class="cs1-code">|website=</code> ignored (<a href="/wiki/Help:CS1_errors#periodical_ignored" title="Help:CS1 errors">help</a>)</span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Renard_series&action=edit&section=6" title="Edit section: Further reading"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHirshfeldBerry1922" class="citation journal cs1"><a href="/wiki/Clarence_Floyd_Hirshfeld" title="Clarence Floyd Hirshfeld">Hirshfeld, Clarence Floyd</a>; Berry, C. H. (1922-12-04). <a rel="nofollow" class="external text" href="https://archive.org/stream/sizestandardizat00hirsiala#page/n1/mode/1up">"Size Standardization by Preferred Numbers"</a>. <i>Mechanical Engineering</i>. <b>44</b> (12). New York, USA: <a href="/wiki/The_American_Society_of_Mechanical_Engineers" class="mw-redirect" title="The American Society of Mechanical Engineers">The American Society of Mechanical Engineers</a>: 791–.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Mechanical+Engineering&rft.atitle=Size+Standardization+by+Preferred+Numbers&rft.volume=44&rft.issue=12&rft.pages=791-&rft.date=1922-12-04&rft.aulast=Hirshfeld&rft.aufirst=Clarence+Floyd&rft.au=Berry%2C+C.+H.&rft_id=https%3A%2F%2Farchive.org%2Fstream%2Fsizestandardizat00hirsiala%23page%2Fn1%2Fmode%2F1up&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> <a rel="nofollow" class="external autonumber" href="https://www.forgottenbooks.com/en/download/SizeStandardizationbyPreferredNumbers_10296778.pdf">[1]</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHazeltine1927" class="citation journal cs1"><a href="/wiki/Louis_Alan_Hazeltine" title="Louis Alan Hazeltine">Hazeltine, Louis Alan</a> (January 1927) [December 1926]. "Preferred Numbers". <i><a href="/wiki/Proceedings_of_the_Institute_of_Radio_Engineers" class="mw-redirect" title="Proceedings of the Institute of Radio Engineers">Proceedings of the Institute of Radio Engineers</a></i>. <b>14</b> (4). <a href="/wiki/Institute_of_Radio_Engineers" title="Institute of Radio Engineers">Institute of Radio Engineers</a> (IRE): <span class="nowrap">785–</span>787. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FJRPROC.1926.221089">10.1109/JRPROC.1926.221089</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0731-5996">0731-5996</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Proceedings+of+the+Institute+of+Radio+Engineers&rft.atitle=Preferred+Numbers&rft.volume=14&rft.issue=4&rft.pages=%3Cspan+class%3D%22nowrap%22%3E785-%3C%2Fspan%3E787&rft.date=1927-01&rft_id=info%3Adoi%2F10.1109%2FJRPROC.1926.221089&rft.issn=0731-5996&rft.aulast=Hazeltine&rft.aufirst=Louis+Alan&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFVan_Dyck1936" class="citation journal cs1">Van Dyck, Arthur F. (February 1936). "Preferred Numbers". <i><a href="/wiki/Proceedings_of_the_Institute_of_Radio_Engineers" class="mw-redirect" title="Proceedings of the Institute of Radio Engineers">Proceedings of the Institute of Radio Engineers</a></i>. <b>24</b> (2). <a href="/wiki/Institute_of_Radio_Engineers" title="Institute of Radio Engineers">Institute of Radio Engineers</a> (IRE): <span class="nowrap">159–</span>179. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FJRPROC.1936.228053">10.1109/JRPROC.1936.228053</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0731-5996">0731-5996</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:140107818">140107818</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Proceedings+of+the+Institute+of+Radio+Engineers&rft.atitle=Preferred+Numbers&rft.volume=24&rft.issue=2&rft.pages=%3Cspan+class%3D%22nowrap%22%3E159-%3C%2Fspan%3E179&rft.date=1936-02&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A140107818%23id-name%3DS2CID&rft.issn=0731-5996&rft_id=info%3Adoi%2F10.1109%2FJRPROC.1936.228053&rft.aulast=Van+Dyck&rft.aufirst=Arthur+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFVan_Dyck1951" class="citation journal cs1">Van Dyck, Arthur F. (March 1951) [February 1951]. "Preferred Numbers". <i><a href="/wiki/Proceedings_of_the_IRE" class="mw-redirect" title="Proceedings of the IRE">Proceedings of the IRE</a></i>. <b>39</b> (2). <a href="/wiki/Institute_of_Radio_Engineers" title="Institute of Radio Engineers">Institute of Radio Engineers</a> (IRE): 115. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FJRPROC.1951.230759">10.1109/JRPROC.1951.230759</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0096-8390">0096-8390</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Proceedings+of+the+IRE&rft.atitle=Preferred+Numbers&rft.volume=39&rft.issue=2&rft.pages=115&rft.date=1951-03&rft_id=info%3Adoi%2F10.1109%2FJRPROC.1951.230759&rft.issn=0096-8390&rft.aulast=Van+Dyck&rft.aufirst=Arthur+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><a rel="nofollow" class="external text" href="https://www.iso.org/standard/4548.html"><i>ISO 497:1973-05 - Guide to the choice of series of preferred numbers and of series containing more rounded values of preferred numbers</i></a>. <a href="/wiki/International_Standards_Organization" class="mw-redirect" title="International Standards Organization">International Standards Organization</a> (ISO). May 1973. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20171102224132/https://www.iso.org/standard/4548.html">Archived</a> from the original on 2017-11-02<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-11-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+497%3A1973-05+-+Guide+to+the+choice+of+series+of+preferred+numbers+and+of+series+containing+more+rounded+values+of+preferred+numbers&rft.pub=International+Standards+Organization+%28ISO%29&rft.date=1973-05&rft_id=https%3A%2F%2Fwww.iso.org%2Fstandard%2F4548.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span> (Replaced: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation book cs1"><i>ISO Recommendation R497-1966 - Preferred Numbers - Guide to the Choice of Series of Preferred Numbers and of Series Containing More Rounded Values of Preferred Numbers</i>. 1966.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=ISO+Recommendation+R497-1966+-+Preferred+Numbers+-+Guide+to+the+Choice+of+Series+of+Preferred+Numbers+and+of+Series+Containing+More+Rounded+Values+of+Preferred+Numbers&rft.date=1966&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span>)</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTuffentsammerSchumacher1953" class="citation journal cs1 cs1-prop-foreign-lang-source">Tuffentsammer, Karl; Schumacher, P. (1953). "Normzahlen – die einstellige Logarithmentafel des Ingenieurs" [Preferred numbers - the engineer's single-digit logarithm table]. <i>Werkstattechnik und Maschinenbau</i> (in German). <b>43</b> (4): 156.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Werkstattechnik+und+Maschinenbau&rft.atitle=Normzahlen+%E2%80%93+die+einstellige+Logarithmentafel+des+Ingenieurs&rft.volume=43&rft.issue=4&rft.pages=156&rft.date=1953&rft.aulast=Tuffentsammer&rft.aufirst=Karl&rft.au=Schumacher%2C+P.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTuffentsammer1956" class="citation journal cs1 cs1-prop-foreign-lang-source">Tuffentsammer, Karl (1956). "Das Dezilog, eine Brücke zwischen Logarithmen, Dezibel, Neper und Normzahlen" [The decilog, a bridge between logarithms, decibel, neper and preferred numbers]. <i>VDI-Zeitschrift</i> (in German). <b>98</b>: <span class="nowrap">267–</span>274.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=VDI-Zeitschrift&rft.atitle=Das+Dezilog%2C+eine+Br%C3%BCcke+zwischen+Logarithmen%2C+Dezibel%2C+Neper+und+Normzahlen&rft.volume=98&rft.pages=%3Cspan+class%3D%22nowrap%22%3E267-%3C%2Fspan%3E274&rft.date=1956&rft.aulast=Tuffentsammer&rft.aufirst=Karl&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARenard+series" class="Z3988"></span></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist 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href="/wiki/List_of_ISO_romanizations" title="List of ISO romanizations">ISO romanizations</a> – <a href="/wiki/List_of_IEC_standards" title="List of IEC standards">IEC standards</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">1–9999</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ISO_1" title="ISO 1">1</a></li> <li><a href="/wiki/ISO_2" title="ISO 2">2</a></li> <li><a class="mw-selflink selflink">3</a></li> <li><a href="/wiki/ISO_4" title="ISO 4">4</a></li> <li><a href="/wiki/Film_speed" title="Film speed">6</a></li> <li><a href="/wiki/British_Standard_Pipe" title="British Standard Pipe">7</a></li> <li><a href="/wiki/ISO_9" title="ISO 9">9</a></li> <li><a href="/wiki/A440_(pitch_standard)" title="A440 (pitch standard)">16</a></li> <li><a class="mw-selflink selflink">17</a></li> <li><a href="/wiki/ISO_31" title="ISO 31">31</a> <ul><li><a href="/wiki/ISO_31-0" title="ISO 31-0">-0</a></li> <li><a href="/wiki/ISO_31-1" title="ISO 31-1">-1</a></li> <li><a href="/wiki/ISO_31-3" title="ISO 31-3">-3</a></li> <li><a href="/wiki/ISO_31-4" title="ISO 31-4">-4</a></li> <li><a href="/wiki/ISO_31-5" title="ISO 31-5">-5</a></li> <li><a href="/wiki/ISO_31-6" title="ISO 31-6">-6</a></li> <li><a href="/wiki/ISO_31-7" title="ISO 31-7">-7</a></li> <li><a href="/wiki/ISO_31-8" title="ISO 31-8">-8</a></li> <li><a href="/wiki/ISO_31-9" class="mw-redirect" title="ISO 31-9">-9</a></li> <li><a href="/wiki/ISO_31-10" title="ISO 31-10">-10</a></li> <li><a href="/wiki/ISO_31-11" title="ISO 31-11">-11</a></li> <li><a href="/wiki/ISO_31-12" class="mw-redirect" title="ISO 31-12">-12</a></li> <li><a href="/wiki/ISO_31-13" class="mw-redirect" title="ISO 31-13">-13</a></li></ul></li> <li><a href="/wiki/ISO_metric_screw_thread" title="ISO metric screw thread">68-1</a></li> <li><a href="/wiki/ISO_128" title="ISO 128">128</a></li> <li><a href="/wiki/ISO_216" title="ISO 216">216</a></li> <li><a href="/wiki/ISO_217" title="ISO 217">217</a></li> <li><a href="/wiki/Equal-loudness_contour" title="Equal-loudness contour">226</a></li> <li><a href="/wiki/British_Standard_Pipe" title="British Standard Pipe">228</a></li> <li><a href="/wiki/ISO_233" title="ISO 233">233</a></li> <li><a href="/wiki/ISO_259" title="ISO 259">259</a></li> <li><a href="/wiki/ISO_metric_screw_thread" title="ISO metric screw thread">261</a></li> <li><a href="/wiki/ISO_metric_screw_thread" title="ISO metric screw thread">262</a></li> <li><a href="/wiki/Kappa_number" title="Kappa number">302</a></li> <li><a href="/wiki/Vicat_softening_point" title="Vicat softening point">306</a></li> <li><a href="/wiki/Hazard_symbol#Ionizing_radiation_symbol" title="Hazard symbol">361</a></li> <li><a href="/wiki/Power_take-off" title="Power take-off">500</a></li> <li><a href="/wiki/Hot_shoe" title="Hot shoe">518</a></li> <li><a href="/wiki/Prontor-Compur" title="Prontor-Compur">519</a></li> <li><a href="/wiki/ISO_639" title="ISO 639">639</a> <ul><li><a href="/wiki/ISO_639-1" title="ISO 639-1">-1</a></li> <li><a href="/wiki/ISO_639-2" title="ISO 639-2">-2</a></li> <li><a href="/wiki/ISO_639-3" title="ISO 639-3">-3</a></li> <li><a href="/wiki/ISO_639-5" title="ISO 639-5">-5</a></li> <li><a href="/wiki/ISO_639-6" title="ISO 639-6">-6</a></li></ul></li> <li><a href="/wiki/ISO/IEC_646" title="ISO/IEC 646">646</a></li> <li><a href="/wiki/ISO_657" title="ISO 657">657</a></li> <li><a href="/wiki/ISO_668" title="ISO 668">668</a></li> <li><a href="/wiki/ISO_690" title="ISO 690">690</a></li> <li><a href="/wiki/ISO_704" title="ISO 704">704</a></li> <li><a href="/wiki/ISO_732" title="ISO 732">732</a></li> <li><a href="/wiki/Antimagnetic_watch" title="Antimagnetic watch">764</a></li> <li><a href="/wiki/Hole_punch" title="Hole punch">838</a></li> <li><a href="/wiki/ISO_843" title="ISO 843">843</a></li> <li><a href="/wiki/ISO_860" title="ISO 860">860</a></li> <li><a href="/wiki/ISO_898" title="ISO 898">898</a></li> <li><a href="/wiki/ISO_965" title="ISO 965">965</a></li> <li><a href="/wiki/ISO_999" title="ISO 999">999</a></li> <li><a href="/wiki/ISO_1000" title="ISO 1000">1000</a></li> <li><a href="/wiki/Magnetic_ink_character_recognition" title="Magnetic ink character recognition">1004</a></li> <li><a href="/wiki/135_film" title="135 film">1007</a></li> <li><a href="/wiki/OCR-A" title="OCR-A">1073-1</a></li> <li><a href="/wiki/OCR-B" title="OCR-B">1073-2</a></li> <li><a href="/wiki/Longitudinal_redundancy_check" title="Longitudinal redundancy check">1155</a></li> <li><a href="/wiki/Shock-resistant_watch#ISO_1413_shock-resistant_standard" title="Shock-resistant watch">1413</a></li> <li><a href="/wiki/ALGOL_60" title="ALGOL 60">1538</a></li> <li><a href="/wiki/ISO_1629" title="ISO 1629">1629</a></li> <li><a href="/wiki/ISO_1745" title="ISO 1745">1745</a></li> <li><a href="/wiki/COBOL" title="COBOL">1989</a></li> <li><a href="/wiki/ISO_2014" title="ISO 2014">2014</a></li> <li><a href="/wiki/ISO_2015" title="ISO 2015">2015</a></li> <li><a href="/wiki/ISO/IEC_2022" title="ISO/IEC 2022">2022</a></li> <li><a href="/wiki/ISO_2033" title="ISO 2033">2033</a></li> <li><a href="/wiki/ISO_2047" title="ISO 2047">2047</a></li> <li><a href="/wiki/ISBN" title="ISBN">2108</a></li> <li><a href="/wiki/ISO_2145" title="ISO 2145">2145</a></li> <li><a href="/wiki/ISO_2146" title="ISO 2146">2146</a></li> <li><a href="/wiki/Film_speed" title="Film speed">2240</a></li> <li><a href="/wiki/Water_Resistant_mark" title="Water Resistant mark">2281</a></li> <li><a href="/wiki/International_Standard_Atmosphere" title="International Standard Atmosphere">2533</a></li> <li><a href="/wiki/ISO_2709" title="ISO 2709">2709</a></li> <li><a href="/wiki/ISO_2711" title="ISO 2711">2711</a></li> <li><a href="/wiki/Film_speed" title="Film speed">2720</a></li> <li><a href="/wiki/ISO_2788" title="ISO 2788">2788</a></li> <li><a href="/wiki/ISO_2848" title="ISO 2848">2848</a></li> <li><a href="/wiki/ISO_2852" title="ISO 2852">2852</a></li> <li><a href="/wiki/ISO_2921" title="ISO 2921">2921</a></li> <li><a href="/wiki/126_film" title="126 film">3029</a></li> <li><a href="/wiki/ISO_3103" title="ISO 3103">3103</a></li> <li><a href="/wiki/ISO_3166" title="ISO 3166">3166</a> <ul><li><a href="/wiki/ISO_3166-1" title="ISO 3166-1">-1</a></li> <li><a href="/wiki/ISO_3166-2" title="ISO 3166-2">-2</a></li> <li><a href="/wiki/ISO_3166-3" title="ISO 3166-3">-3</a></li></ul></li> <li><a href="/wiki/ISSN" title="ISSN">3297</a></li> <li><a href="/wiki/ISO_3307" title="ISO 3307">3307</a></li> <li><a href="/wiki/O-ring" title="O-ring">3601</a></li> <li><a href="/wiki/Kunrei-shiki_romanization" title="Kunrei-shiki romanization">3602</a></li> <li><a href="/wiki/ISO_3864" title="ISO 3864">3864</a></li> <li><a href="/wiki/International_Standard_Recording_Code" title="International Standard Recording Code">3901</a></li> <li><a href="/wiki/FDI_World_Dental_Federation_notation" title="FDI World Dental Federation notation">3950</a></li> <li><a href="/wiki/ISO_3977" title="ISO 3977">3977</a></li> <li><a href="/wiki/ISO_4031" title="ISO 4031">4031</a></li> <li><a href="/wiki/ISO_4157" class="mw-redirect" title="ISO 4157">4157</a></li> <li><a href="/wiki/ISO_4165" title="ISO 4165">4165</a></li> <li><a href="/wiki/ISO_4217" title="ISO 4217">4217</a></li> <li><a href="/wiki/ISO/IEC_4909" title="ISO/IEC 4909">4909</a></li> <li><a href="/wiki/ISO/IEC_5218" title="ISO/IEC 5218">5218</a></li> <li><a href="/wiki/ISO_5426" title="ISO 5426">5426</a></li> <li><a href="/wiki/ISO_5427" title="ISO 5427">5427</a></li> <li><a href="/wiki/ISO_5428" title="ISO 5428">5428</a></li> <li><a href="/wiki/Accuracy_and_precision" title="Accuracy and precision">5725</a></li> <li><a href="/wiki/ISO_5775" title="ISO 5775">5775</a></li> <li><a href="/wiki/ISO_5776" title="ISO 5776">5776</a></li> <li><a href="/wiki/Film_speed" title="Film speed">5800</a></li> <li><a href="/wiki/Flowchart" title="Flowchart">5807</a></li> <li><a href="/wiki/ISO_5964" title="ISO 5964">5964</a></li> <li><a href="/wiki/International_Securities_Identification_Number" title="International Securities Identification Number">6166</a></li> <li><a href="/wiki/ISO_6344" title="ISO 6344">6344</a></li> <li><a href="/wiki/ISO_6346" title="ISO 6346">6346</a></li> <li><a href="/wiki/Minimal_BASIC" title="Minimal BASIC">6373</a></li> <li><a href="/wiki/ISO_6385" title="ISO 6385">6385</a></li> <li><a href="/wiki/Water_Resistant_mark" title="Water Resistant mark">6425</a></li> <li><a href="/wiki/ANSI_escape_code" title="ANSI escape code">6429</a></li> <li><a href="/wiki/ISO_6438" title="ISO 6438">6438</a></li> <li><a href="/wiki/ISO/IEC_6523" title="ISO/IEC 6523">6523</a></li> <li><a href="/wiki/ISO_6709" title="ISO 6709">6709</a></li> <li><a href="/wiki/ISO_6943" title="ISO 6943">6943</a></li> <li><a href="/wiki/ISO_7001" title="ISO 7001">7001</a></li> <li><a href="/wiki/ISO_7002" title="ISO 7002">7002</a></li> <li><a href="/wiki/ISO_7010" title="ISO 7010">7010</a></li> <li><a href="/wiki/ISO_7027" title="ISO 7027">7027</a></li> <li><a href="/wiki/ISO/IEC_7064" title="ISO/IEC 7064">7064</a></li> <li><a href="/wiki/Pinyin" title="Pinyin">7098</a></li> <li><a href="/wiki/Pascal_(programming_language)" title="Pascal (programming language)">7185</a></li> <li><a href="/wiki/ISO_7200" title="ISO 7200">7200</a></li> <li><a href="/wiki/OSI_model" title="OSI model">7498</a> <ul><li><a href="/wiki/OSI_model" title="OSI model">-1</a></li></ul></li> <li><a href="/wiki/ISO_7637" title="ISO 7637">7637</a></li> <li><a href="/wiki/ISO_7736" title="ISO 7736">7736</a></li> <li><a href="/wiki/ISO/IEC_7810" title="ISO/IEC 7810">7810</a></li> <li><a href="/wiki/ISO/IEC_7811" title="ISO/IEC 7811">7811</a></li> <li><a href="/wiki/ISO/IEC_7812" title="ISO/IEC 7812">7812</a></li> <li><a href="/wiki/ISO/IEC_7813" title="ISO/IEC 7813">7813</a></li> <li><a href="/wiki/ISO/IEC_7816" title="ISO/IEC 7816">7816</a></li> <li><a href="/wiki/Graphical_Kernel_System" title="Graphical Kernel System">7942</a></li> <li><a href="/wiki/ISO_8000" title="ISO 8000">8000</a></li> <li><a href="/wiki/On-board_diagnostics" title="On-board diagnostics">8093</a></li> <li><a href="/wiki/ISO_8178" title="ISO 8178">8178</a></li> <li><a href="/wiki/Fuel_oil" title="Fuel oil">8217</a></li> <li><a href="/wiki/ISO_8373" class="mw-redirect" title="ISO 8373">8373</a></li> <li><a href="/wiki/ISO_8501-1" title="ISO 8501-1">8501-1</a></li> <li><a href="/wiki/FTAM" title="FTAM">8571</a></li> <li><a href="/wiki/ISO_8583" title="ISO 8583">8583</a></li> <li><a href="/wiki/ISO_8601" title="ISO 8601">8601</a></li> <li><a href="/wiki/Open_Document_Architecture" title="Open Document Architecture">8613</a></li> <li><a href="/wiki/Computer_Graphics_Metafile" title="Computer Graphics Metafile">8632</a></li> <li><a href="/wiki/Graphical_Kernel_System" title="Graphical Kernel System">8651</a></li> <li><a href="/wiki/ISO/IEC_8652" title="ISO/IEC 8652">8652</a></li> <li><a href="/wiki/ISO_8691" title="ISO 8691">8691</a></li> <li><a href="/wiki/Graphical_Kernel_System" title="Graphical Kernel System">8805/8806</a></li> <li><a href="/wiki/Language_of_Temporal_Ordering_Specification" title="Language of Temporal Ordering Specification">8807</a></li> <li><a href="/wiki/Automotive_fuse" title="Automotive fuse">8820-5</a></li> <li><a href="/wiki/ISO/IEC_8859" title="ISO/IEC 8859">8859</a> <ul><li><a href="/wiki/ISO/IEC_8859-1" title="ISO/IEC 8859-1">-1</a></li> <li><a href="/wiki/ISO/IEC_8859-2" title="ISO/IEC 8859-2">-2</a></li> <li><a href="/wiki/ISO/IEC_8859-3" title="ISO/IEC 8859-3">-3</a></li> <li><a href="/wiki/ISO/IEC_8859-4" title="ISO/IEC 8859-4">-4</a></li> <li><a href="/wiki/ISO/IEC_8859-5" title="ISO/IEC 8859-5">-5</a></li> <li><a href="/wiki/ISO/IEC_8859-6" title="ISO/IEC 8859-6">-6</a></li> <li><a href="/wiki/ISO/IEC_8859-7" title="ISO/IEC 8859-7">-7</a></li> <li><a href="/wiki/ISO/IEC_8859-8" title="ISO/IEC 8859-8">-8</a></li> <li><a href="/wiki/ISO-8859-8-I" title="ISO-8859-8-I">-8-I</a></li> <li><a href="/wiki/ISO/IEC_8859-9" title="ISO/IEC 8859-9">-9</a></li> <li><a href="/wiki/ISO/IEC_8859-10" title="ISO/IEC 8859-10">-10</a></li> <li><a href="/wiki/ISO/IEC_8859-11" title="ISO/IEC 8859-11">-11</a></li> <li><a href="/wiki/ISO/IEC_8859-12" class="mw-redirect" title="ISO/IEC 8859-12">-12</a></li> <li><a href="/wiki/ISO/IEC_8859-13" title="ISO/IEC 8859-13">-13</a></li> <li><a href="/wiki/ISO/IEC_8859-14" title="ISO/IEC 8859-14">-14</a></li> <li><a href="/wiki/ISO/IEC_8859-15" title="ISO/IEC 8859-15">-15</a></li> <li><a href="/wiki/ISO/IEC_8859-16" title="ISO/IEC 8859-16">-16</a></li></ul></li> <li><a href="/wiki/Standard_Generalized_Markup_Language" title="Standard Generalized Markup Language">8879</a></li> <li><a href="/wiki/ISO_9000_family" title="ISO 9000 family">9000/9001</a></li> <li><a href="/wiki/ASMO_449" title="ASMO 449">9036</a></li> <li><a href="/wiki/SQL" title="SQL">9075</a></li> <li><a href="/wiki/ISO/IEC_9126" title="ISO/IEC 9126">9126</a></li> <li><a href="/wiki/On-board_diagnostics" title="On-board diagnostics">9141</a></li> <li><a href="/wiki/Salt_spray_test" title="Salt spray test">9227</a></li> <li><a href="/wiki/ISO_9241" title="ISO 9241">9241</a></li> <li><a href="/wiki/File_Allocation_Table" title="File Allocation Table">9293</a></li> <li><a href="/wiki/Fiber_Distributed_Data_Interface" title="Fiber Distributed Data Interface">9314</a></li> <li><a href="/wiki/ISO_9362" title="ISO 9362">9362</a></li> <li><a href="/wiki/Shoe_size" title="Shoe size">9407</a></li> <li><a href="/wiki/CHILL" title="CHILL">9496</a></li> <li><a href="/wiki/Manufacturing_Message_Specification" title="Manufacturing Message Specification">9506</a></li> <li><a href="/wiki/ISO/IEC_9529" title="ISO/IEC 9529">9529</a></li> <li><a href="/wiki/ISO_9564" title="ISO 9564">9564</a></li> <li><a href="/wiki/PHIGS" title="PHIGS">9592/9593</a></li> <li><a href="/wiki/X.500" title="X.500">9594</a></li> <li><a href="/wiki/ISO_9660" title="ISO 9660">9660</a></li> <li><a href="/wiki/ISO/IEC_9797-1" title="ISO/IEC 9797-1">9797-1</a></li> <li><a href="/wiki/ISO_9897" title="ISO 9897">9897</a></li> <li><a href="/wiki/ANSI_C" title="ANSI C">9899</a></li> <li><a href="/wiki/POSIX" title="POSIX">9945</a></li> <li><a href="/wiki/Romanization_of_Georgian" title="Romanization of Georgian">9984</a></li> <li><a href="/wiki/Romanization_of_Armenian" title="Romanization of Armenian">9985</a></li> <li><a href="/wiki/ISO/IEC_9995" title="ISO/IEC 9995">9995</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">10000–19999</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ISO_10006" title="ISO 10006">10006</a></li> <li><a href="/wiki/ISO_10007" title="ISO 10007">10007</a></li> <li><a href="/wiki/ISO/IEC_10116" title="ISO/IEC 10116">10116</a></li> <li><a href="/wiki/Whirlpool_(hash_function)" title="Whirlpool (hash function)">10118-3</a></li> <li><a href="/wiki/ISO_10160" title="ISO 10160">10160</a></li> <li><a href="/wiki/ISO_10161" title="ISO 10161">10161</a></li> <li><a href="/wiki/Guidelines_for_the_Definition_of_Managed_Objects" title="Guidelines for the Definition of Managed Objects">10165</a></li> <li><a href="/wiki/Document_Style_Semantics_and_Specification_Language" title="Document Style Semantics and Specification Language">10179</a></li> <li><a href="/wiki/Pascal_(programming_language)#ISO/IEC_10206:1990_Extended_Pascal" title="Pascal (programming language)">10206</a></li> <li><a href="/wiki/ISO_10218" title="ISO 10218">10218</a></li> <li><a href="/wiki/Full_BASIC" title="Full BASIC">10279</a></li> <li><a href="/wiki/ISO_10303" title="ISO 10303">10303</a> <ul><li><a href="/wiki/EXPRESS_(data_modeling_language)" title="EXPRESS (data modeling language)">-11</a></li> <li><a href="/wiki/ISO_10303-21" title="ISO 10303-21">-21</a></li> <li><a href="/wiki/ISO_10303-22" title="ISO 10303-22">-22</a></li> <li><a href="/wiki/ISO_10303-28" title="ISO 10303-28">-28</a></li> <li><a href="/wiki/STEP-NC" title="STEP-NC">-238</a></li></ul></li> <li><a href="/wiki/Market_Identifier_Code" title="Market Identifier Code">10383</a></li> <li><a href="/wiki/ArmSCII" title="ArmSCII">10585</a></li> <li><a href="/wiki/IS-IS" title="IS-IS">10589</a></li> <li><a href="/wiki/ISO_10628" title="ISO 10628">10628</a></li> <li><a href="/wiki/Universal_Coded_Character_Set" title="Universal Coded Character Set">10646</a></li> <li><a href="/wiki/Torx" title="Torx">10664</a></li> <li><a href="/wiki/RM-ODP" title="RM-ODP">10746</a></li> <li><a href="/wiki/Multibus" title="Multibus">10861</a></li> <li><a href="/wiki/International_Standard_Music_Number" title="International Standard Music Number">10957</a></li> <li><a href="/wiki/ISO_10962" title="ISO 10962">10962</a></li> <li><a href="/wiki/ISO/IEC_10967" title="ISO/IEC 10967">10967</a></li> <li><a href="/wiki/ISO/IEEE_11073" title="ISO/IEEE 11073">11073</a></li> <li><a href="/wiki/ISO_11170" title="ISO 11170">11170</a></li> <li><a href="/wiki/MPEG-1" title="MPEG-1">11172</a></li> <li><a href="/wiki/ISO/IEC_11179" title="ISO/IEC 11179">11179</a></li> <li><a href="/wiki/ISO/IEC_11404" title="ISO/IEC 11404">11404</a></li> <li><a href="/wiki/JBIG" title="JBIG">11544</a></li> <li><a href="/wiki/ISO_11783" title="ISO 11783">11783</a></li> <li><a href="/wiki/ISO_11784_and_ISO_11785" title="ISO 11784 and ISO 11785">11784</a></li> <li><a href="/wiki/ISO_11784_and_ISO_11785" title="ISO 11784 and ISO 11785">11785</a></li> <li><a href="/wiki/ISO/IEC_11801" title="ISO/IEC 11801">11801</a></li> <li><a href="/wiki/Trusted_Platform_Module" title="Trusted Platform Module">11889</a></li> <li><a href="/wiki/CAN_bus#CAN_lower-layer_standards" title="CAN bus">11898</a></li> <li><a href="/wiki/ISO_11940" title="ISO 11940">11940</a> (<a href="/wiki/ISO_11940-2" title="ISO 11940-2">-2</a>)</li> <li><a href="/wiki/ISO/TR_11941" title="ISO/TR 11941">11941</a></li> <li><a href="/wiki/ISO/TR_11941" title="ISO/TR 11941">11941 (TR)</a></li> <li><a href="/wiki/ISO_11992" title="ISO 11992">11992</a></li> <li><a href="/wiki/ISO_12006" title="ISO 12006">12006</a></li> <li><a href="/wiki/DICOM" title="DICOM">12052</a></li> <li><a href="/wiki/ISO/IEC_TR_12182" title="ISO/IEC TR 12182">12182</a></li> <li><a href="/wiki/ISO/IEC_12207" title="ISO/IEC 12207">12207</a></li> <li><a href="/wiki/TIFF/EP" title="TIFF/EP">12234-2</a></li> <li><a href="/wiki/Linguistic_categories#ISO_12620_(ISO_TC37_Data_Category_Registry,_ISOcat)" title="Linguistic categories">12620</a></li> <li><a href="/wiki/Prolog" title="Prolog">13211</a> <ul><li><a href="/wiki/Prolog" title="Prolog">-1</a></li> <li><a href="/wiki/Prolog" title="Prolog">-2</a></li></ul></li> <li><a href="/wiki/Isofix" title="Isofix">13216</a></li> <li><a href="/wiki/Topic_map" title="Topic map">13250</a></li> <li><a href="/wiki/ISO_13399" title="ISO 13399">13399</a></li> <li><a href="/wiki/ISO_13406-2" title="ISO 13406-2">13406-2</a></li> <li><a href="/wiki/110_film" title="110 film">13450</a></li> <li><a href="/wiki/ISO_13485" title="ISO 13485">13485</a></li> <li><a href="/wiki/ISO_13490" title="ISO 13490">13490</a></li> <li><a href="/wiki/ISO_13567" title="ISO 13567">13567</a></li> <li><a href="/wiki/Z_notation" title="Z notation">13568</a></li> <li><a href="/wiki/ISO_13584" title="ISO 13584">13584</a></li> <li><a href="/wiki/International_Bank_Account_Number" title="International Bank Account Number">13616</a></li> <li><a href="/wiki/ISLISP" title="ISLISP">13816</a></li> <li><a href="/wiki/MPEG-2" title="MPEG-2">13818</a></li> <li><a href="/wiki/ISO_14000_family" title="ISO 14000 family">14000</a></li> <li><a href="/wiki/ISO_14031" title="ISO 14031">14031</a></li> <li><a href="/wiki/ISO_14224" title="ISO 14224">14224</a></li> <li><a href="/wiki/PDF/UA" title="PDF/UA">14289</a></li> <li><a href="/wiki/Horsepower" title="Horsepower">14396</a></li> <li><a href="/wiki/ISO/IEC_14443" title="ISO/IEC 14443">14443</a></li> <li><a href="/wiki/MPEG-4" title="MPEG-4">14496</a> <ul><li><a href="/wiki/MPEG-4_Part_2" title="MPEG-4 Part 2">-2</a></li> <li><a href="/wiki/MPEG-4_Part_3" title="MPEG-4 Part 3">-3</a></li> <li><a href="/wiki/Delivery_Multimedia_Integration_Framework" title="Delivery Multimedia Integration Framework">-6</a></li> <li><a href="/wiki/Advanced_Video_Coding" title="Advanced Video Coding">-10</a></li> <li><a href="/wiki/MPEG-4_Part_11" title="MPEG-4 Part 11">-11</a></li> <li><a href="/wiki/ISO_base_media_file_format" title="ISO base media file format">-12</a></li> <li><a href="/wiki/MP4_file_format" title="MP4 file format">-14</a></li> <li><a href="/wiki/MP4_file_format" title="MP4 file format">-17</a></li> <li><a href="/wiki/MP4_file_format" title="MP4 file format">-20</a></li></ul></li> <li><a href="/wiki/ISO_14617" title="ISO 14617">14617</a></li> <li><a href="/wiki/ISO_14644" title="ISO 14644">14644</a></li> <li><a href="/wiki/STEP-NC" title="STEP-NC">14649</a></li> <li><a href="/wiki/ISO/IEC_14651" title="ISO/IEC 14651">14651</a></li> <li><a href="/wiki/ISO_14698" title="ISO 14698">14698</a></li> <li><a href="/wiki/Software_maintenance" title="Software maintenance">14764</a></li> <li><a href="/wiki/C%2B%2B" title="C++">14882</a></li> <li><a href="/wiki/ISO_14971" title="ISO 14971">14971</a></li> <li><a href="/wiki/ISO_15022" title="ISO 15022">15022</a></li> <li><a href="/wiki/ISO_15189" title="ISO 15189">15189</a></li> <li><a href="/wiki/ISO/IEC_15288" title="ISO/IEC 15288">15288</a></li> <li><a href="/wiki/Ada_Semantic_Interface_Specification" title="Ada Semantic Interface Specification">15291</a></li> <li><a href="/wiki/ISO_15398" title="ISO 15398">15398</a></li> <li><a href="/wiki/Common_Criteria" title="Common Criteria">15408</a></li> <li><a href="/wiki/JPEG_2000" title="JPEG 2000">15444</a> <ul><li><a href="/wiki/Motion_JPEG_2000" title="Motion JPEG 2000">-3</a></li> <li><a href="/wiki/JPIP" title="JPIP">-9</a></li></ul></li> <li><a href="/wiki/HTML" title="HTML">15445</a></li> <li><a href="/wiki/PDF417" title="PDF417">15438</a></li> <li><a href="/wiki/ISO/IEC_15504" title="ISO/IEC 15504">15504</a></li> <li><a href="/wiki/International_Standard_Identifier_for_Libraries_and_Related_Organizations" title="International Standard Identifier for Libraries and Related Organizations">15511</a></li> <li><a href="/wiki/ISO_15686" title="ISO 15686">15686</a></li> <li><a href="/wiki/ISO/IEC_15693" title="ISO/IEC 15693">15693</a></li> <li><a href="/wiki/International_Standard_Audiovisual_Number" title="International Standard Audiovisual Number">15706</a> <ul><li><a href="/wiki/International_Standard_Audiovisual_Number" title="International Standard Audiovisual Number">-2</a></li></ul></li> <li><a href="/wiki/International_Standard_Musical_Work_Code" title="International Standard Musical Work Code">15707</a></li> <li><a href="/wiki/ISO/IEC_15897" title="ISO/IEC 15897">15897</a></li> <li><a href="/wiki/ISO_15919" title="ISO 15919">15919</a></li> <li><a href="/wiki/ISO_15924" title="ISO 15924">15924</a></li> <li><a href="/wiki/ISO_15926" title="ISO 15926">15926</a></li> <li><a href="/wiki/ISO_15926_WIP" title="ISO 15926 WIP">15926 WIP</a></li> <li><a href="/wiki/PDF/X" title="PDF/X">15930</a></li> <li><a href="/wiki/MPEG-7" title="MPEG-7">15938</a></li> <li><a href="/wiki/MaxiCode" title="MaxiCode">16023</a></li> <li><a href="/wiki/ECMAScript" title="ECMAScript">16262</a></li> <li><a href="/wiki/Quality_function_deployment" title="Quality function deployment">16355-1</a></li> <li><a href="/wiki/Mixed_raster_content" title="Mixed raster content">16485</a></li> <li><a href="/wiki/PDF/VT" title="PDF/VT">16612-2</a></li> <li><a href="/wiki/ISO_16750" title="ISO 16750">16750</a></li> <li><a href="/wiki/IATF_16949" title="IATF 16949">16949 (TS)</a></li> <li><a href="/wiki/ISO/IEC_17024" title="ISO/IEC 17024">17024</a></li> <li><a href="/wiki/ISO/IEC_17025" title="ISO/IEC 17025">17025</a></li> <li><a href="/wiki/ISO_17100" title="ISO 17100">17100</a></li> <li><a href="/wiki/Open_Virtualization_Format" title="Open Virtualization Format">17203</a></li> <li><a href="/wiki/SDMX" title="SDMX">17369</a></li> <li><a href="/wiki/Legal_Entity_Identifier" title="Legal Entity Identifier">17442</a></li> <li><a href="/wiki/COLLADA" title="COLLADA">17506</a></li> <li><a href="/wiki/ISO/IEC_27002" title="ISO/IEC 27002">17799</a></li> <li><a href="/wiki/QR_code" title="QR code">18004</a></li> <li><a href="/wiki/ISO/IEC_18014" title="ISO/IEC 18014">18014</a></li> <li><a href="/wiki/JPEG_XL" title="JPEG XL">18181</a></li> <li><a href="/wiki/ISO_18245" title="ISO 18245">18245</a></li> <li><a href="/wiki/Process_Specification_Language" title="Process Specification Language">18629</a></li> <li><a href="/wiki/Photographic_Activity_Test" title="Photographic Activity Test">18916</a></li> <li><a href="/wiki/PDF/A" title="PDF/A">19005</a></li> <li><a href="/wiki/ISO_19011" title="ISO 19011">19011</a></li> <li><a href="/wiki/ISO_19092" title="ISO 19092">19092</a> <ul><li><a href="/wiki/ISO_19092-1" class="mw-redirect" title="ISO 19092-1">-1</a></li> <li><a href="/wiki/ISO_19092-2" class="mw-redirect" title="ISO 19092-2">-2</a></li></ul></li> <li><a href="/wiki/ISO_19114" title="ISO 19114">19114</a></li> <li><a href="/wiki/Geospatial_metadata#ISO_19115:_Geographic_information_–_Metadata" title="Geospatial metadata">19115</a></li> <li><a href="/wiki/Simple_Features" title="Simple Features">19125</a></li> <li><a href="/wiki/Geography_Markup_Language#ISO_19136" title="Geography Markup Language">19136</a></li> <li><a href="/wiki/Shoe_size" title="Shoe size">19407</a></li> <li><a href="/wiki/ISO_19439" title="ISO 19439">19439</a></li> <li><a href="/wiki/Common_Object_Request_Broker_Architecture" title="Common Object Request Broker Architecture">19500</a></li> <li><a href="/wiki/Unified_Modeling_Language" title="Unified Modeling Language">19501</a></li> <li><a href="/wiki/Meta-Object_Facility" title="Meta-Object Facility">19502</a></li> <li><a href="/wiki/XML_Metadata_Interchange" title="XML Metadata Interchange">19503</a></li> <li><a href="/wiki/Unified_Modeling_Language" title="Unified Modeling Language">19505</a></li> <li><a href="/wiki/Knowledge_Discovery_Metamodel" title="Knowledge Discovery Metamodel">19506</a></li> <li><a href="/wiki/Object_Constraint_Language" title="Object Constraint Language">19507</a></li> <li><a href="/wiki/Meta-Object_Facility" title="Meta-Object Facility">19508</a></li> <li><a href="/wiki/XML_Metadata_Interchange" title="XML Metadata Interchange">19509</a></li> <li><a href="/wiki/Business_Process_Model_and_Notation" title="Business Process Model and Notation">19510</a></li> <li><a href="/wiki/ISO_19600" title="ISO 19600">19600</a></li> <li><a href="/wiki/ISO/IEC_19752" title="ISO/IEC 19752">19752</a></li> <li><a href="/wiki/RELAX_NG" title="RELAX NG">19757</a></li> <li><a href="/wiki/ISO/IEC_19770" title="ISO/IEC 19770">19770</a></li> <li><a href="/wiki/X3D" title="X3D">19775-1</a></li> <li><a href="/wiki/ISO/IEC_19794-5" title="ISO/IEC 19794-5">19794-5</a></li> <li><a href="/wiki/Cloud_Infrastructure_Management_Interface" title="Cloud Infrastructure Management Interface">19831</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">20000–29999</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/ISO/IEC_20000" title="ISO/IEC 20000">20000</a></li> <li><a href="/wiki/ISO_20022" title="ISO 20022">20022</a></li> <li><a href="/wiki/ISO_20121" title="ISO 20121">20121</a></li> <li><a href="/wiki/ISO_20400" title="ISO 20400">20400</a></li> <li><a href="/wiki/Open_Data_Protocol" title="Open Data Protocol">20802</a></li> <li><a href="/wiki/Han_Xin_code" title="Han Xin code">20830</a></li> <li><a href="/wiki/MPEG-21" title="MPEG-21">21000</a></li> <li><a href="/wiki/ISO_21001" title="ISO 21001">21001</a></li> <li><a href="/wiki/International_Standard_Text_Code" title="International Standard Text Code">21047</a></li> <li><a href="/wiki/JPEG_XS" title="JPEG XS">21122</a></li> <li><a href="/wiki/ISO_21500" title="ISO 21500">21500</a></li> <li><a href="/wiki/ISO/IEC_21827" title="ISO/IEC 21827">21827</a></li> <li><a href="/wiki/ISO_22000" title="ISO 22000">22000</a></li> <li><a href="/wiki/ECMAScript" title="ECMAScript">22275</a></li> <li><a href="/wiki/ISO_22300" title="ISO 22300">22300</a></li> <li><a href="/wiki/ISO_22301" title="ISO 22301">22301</a></li> <li><a href="/wiki/ISO_22395" title="ISO 22395">22395</a></li> <li><a href="/wiki/ECMAScript_for_XML" title="ECMAScript for XML">22537</a></li> <li><a href="/wiki/MPEG-A" title="MPEG-A">23000</a></li> <li><a href="/wiki/MPEG-D" title="MPEG-D">23003</a></li> <li><a href="/wiki/MPEG-H" title="MPEG-H">23008</a></li> <li><a href="/wiki/Dynamic_Adaptive_Streaming_over_HTTP" title="Dynamic Adaptive Streaming over HTTP">23009</a></li> <li><a href="/wiki/Versatile_Video_Coding" title="Versatile Video Coding">23090-3</a></li> <li><a href="/wiki/MPEG-G" title="MPEG-G">23092</a></li> <li><a href="/wiki/Essential_Video_Coding" title="Essential Video Coding">23094-1</a></li> <li><a href="/wiki/LCEVC" title="LCEVC">23094-2</a></li> <li><a href="/wiki/C_Sharp_(programming_language)" title="C Sharp (programming language)">23270</a></li> <li><a href="/wiki/Common_Language_Infrastructure" title="Common Language Infrastructure">23271</a></li> <li><a href="/wiki/Linux_Standard_Base" title="Linux Standard Base">23360</a></li> <li><a href="/wiki/Rectangular_Micro_QR_Code" title="Rectangular Micro QR Code">23941</a></li> <li><a href="/wiki/PDF/E" title="PDF/E">24517</a></li> <li><a href="/wiki/Lexical_Markup_Framework" title="Lexical Markup Framework">24613</a></li> <li><a href="/wiki/ISO-TimeML" title="ISO-TimeML">24617</a></li> <li><a href="/wiki/Common_Logic" title="Common Logic">24707</a></li> <li><a href="/wiki/MicroPDF417" title="MicroPDF417">24728</a></li> <li><a href="/wiki/ISO_25178" title="ISO 25178">25178</a></li> <li><a href="/wiki/ISO_25964" title="ISO 25964">25964</a></li> <li><a href="/wiki/ISO_26000" title="ISO 26000">26000</a></li> <li><a href="/wiki/ISO_26262" title="ISO 26262">26262</a></li> <li><a href="/wiki/OpenDocument" title="OpenDocument">26300</a></li> <li><a href="/wiki/Digital_object_identifier" title="Digital object identifier">26324</a></li> <li><a href="/wiki/ISO/IEC_27000_family" title="ISO/IEC 27000 family">27000 series</a></li> <li><a href="/wiki/ISO/IEC_27000" title="ISO/IEC 27000">27000</a></li> <li><a href="/wiki/ISO/IEC_27001" title="ISO/IEC 27001">27001</a></li> <li><a href="/wiki/ISO/IEC_27002" title="ISO/IEC 27002">27002</a></li> <li><a href="/wiki/ISO/IEC_27005" title="ISO/IEC 27005">27005</a></li> <li><a href="/wiki/ISO/IEC_27006" title="ISO/IEC 27006">27006</a></li> <li><a href="/wiki/International_Standard_Name_Identifier" title="International Standard Name Identifier">27729</a></li> <li><a href="/wiki/ISO_28000" title="ISO 28000">28000</a></li> <li>29110</li> <li><a href="/wiki/Requirements_engineering" title="Requirements engineering">29148</a></li> <li><a href="/wiki/JPEG_XR" title="JPEG XR">29199-2</a></li> <li><a href="/wiki/Office_Open_XML" title="Office Open XML">29500</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">30000+</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ruby_(programming_language)" title="Ruby (programming language)">30170</a></li> <li><a href="/wiki/ISO_31000" title="ISO 31000">31000</a></li> <li><a href="/wiki/PDF" title="PDF">32000</a></li> <li><a href="/wiki/ISO_37001" title="ISO 37001">37001</a></li> <li><a href="/wiki/ISO/IEC_38500" title="ISO/IEC 38500">38500</a></li> <li><a href="/wiki/Graph_Query_Language" title="Graph Query Language">39075</a></li> <li><a href="/wiki/Web_Content_Accessibility_Guidelines" title="Web Content Accessibility Guidelines">40500</a></li> <li><a href="/wiki/ISO/IEC_42010" title="ISO/IEC 42010">42010</a></li> <li><a href="/wiki/ISO_45001" title="ISO 45001">45001</a></li> <li><a href="/wiki/ISO_50001" title="ISO 50001">50001</a></li> <li><a href="/wiki/ISO_55000" title="ISO 55000">55000</a></li> <li><a href="/wiki/ISO_56000" title="ISO 56000">56000</a></li> <li><a href="/wiki/ISO/IEC_80000" title="ISO/IEC 80000">80000</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" 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