<?xml version='1.0' encoding='utf-8'?>
<FilingSummary>
  <Version>3.24.4</Version>
  <ProcessingTime/>
  <ReportFormat>html</ReportFormat>
  <ContextCount>348</ContextCount>
  <ElementCount>83</ElementCount>
  <EntityCount>1</EntityCount>
  <FootnotesReported>true</FootnotesReported>
  <SegmentCount>82</SegmentCount>
  <ScenarioCount>0</ScenarioCount>
  <TuplesReported>false</TuplesReported>
  <UnitCount>2</UnitCount>
  <MyReports>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R1.htm</HtmlFileName>
      <LongName>000000 - Document - Document and Entity Information {Elements}</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DocumentDocumentandEntityInformationElements000000</Role>
      <ShortName>Document and Entity Information</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>1</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R2.htm</HtmlFileName>
      <LongName>000021 - Disclosure - Risk/Return Detail Data {Elements} - Emerging Markets Portfolio Sanford C. Bernstein Fund, Inc.</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsEmergingMarketsPortfolioSanfordCBernsteinFundInc</Role>
      <ShortName>Risk/Return Detail Data- Emerging Markets Portfolio Sanford C. Bernstein Fund, Inc.</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>2</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R3.htm</HtmlFileName>
      <LongName>000041 - Disclosure - Risk/Return Detail Data {Elements} - New York Municipal Portfolio Sanford C. Bernstein Fund, Inc.</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsNewYorkMunicipalPortfolioSanfordCBernsteinFundInc</Role>
      <ShortName>Risk/Return Detail Data- New York Municipal Portfolio Sanford C. Bernstein Fund, Inc.</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>3</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R4.htm</HtmlFileName>
      <LongName>000061 - Disclosure - Risk/Return Detail Data {Elements} - California Municipal Portfolio Sanford C. Bernstein Fund, Inc.</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsCaliforniaMunicipalPortfolioSanfordCBernsteinFundInc</Role>
      <ShortName>Risk/Return Detail Data- California Municipal Portfolio Sanford C. Bernstein Fund, Inc.</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>4</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R5.htm</HtmlFileName>
      <LongName>000081 - Disclosure - Risk/Return Detail Data {Elements} - Diversified Municipal Portfolio Sanford C. Bernstein Fund, Inc.</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsDiversifiedMunicipalPortfolioSanfordCBernsteinFundInc</Role>
      <ShortName>Risk/Return Detail Data- Diversified Municipal Portfolio Sanford C. Bernstein Fund, Inc.</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>5</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R6.htm</HtmlFileName>
      <LongName>000101 - Disclosure - Risk/Return Detail Data {Elements} - Intermediate Duration Portfolio Sanford C. Bernstein Fund, Inc.</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsIntermediateDurationPortfolioSanfordCBernsteinFundInc</Role>
      <ShortName>Risk/Return Detail Data- Intermediate Duration Portfolio Sanford C. Bernstein Fund, Inc.</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>6</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R7.htm</HtmlFileName>
      <LongName>000121 - Disclosure - Risk/Return Detail Data {Elements} - Overlay A Portfolio</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsOverlayAPortfolio000121</Role>
      <ShortName>Risk/Return Detail Data- Overlay A Portfolio</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>7</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R8.htm</HtmlFileName>
      <LongName>000141 - Disclosure - Risk/Return Detail Data {Elements} - Tax-Aware Overlay A Portfolio</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsTax-AwareOverlayAPortfolio000141</Role>
      <ShortName>Risk/Return Detail Data- Tax-Aware Overlay A Portfolio</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>8</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R9.htm</HtmlFileName>
      <LongName>000161 - Disclosure - Risk/Return Detail Data {Elements} - Overlay B Portfolio</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsOverlayBPortfolio000161</Role>
      <ShortName>Risk/Return Detail Data- Overlay B Portfolio</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>9</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R10.htm</HtmlFileName>
      <LongName>000181 - Disclosure - Risk/Return Detail Data {Elements} - Tax-Aware Overlay B Portfolio</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsTax-AwareOverlayBPortfolio000181</Role>
      <ShortName>Risk/Return Detail Data- Tax-Aware Overlay B Portfolio</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>10</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R11.htm</HtmlFileName>
      <LongName>000261 - Disclosure - Risk/Return Detail Data {Elements} -  Emerging Markets Portfolio AB Blended Style Portfolio</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsEmergingMarketsPortfolioABBlendedStylePortfolio</Role>
      <ShortName>Risk/Return Detail Data-  Emerging Markets Portfolio AB Blended Style Portfolio</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>11</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R12.htm</HtmlFileName>
      <LongName>000281 - Disclosure - Risk/Return Detail Data {Elements} - New York Municipal Portfolio AB Intermediate Municipal Portfolios</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsNewYorkMunicipalPortfolioABIntermediateMunicipalPortfolios</Role>
      <ShortName>Risk/Return Detail Data- New York Municipal Portfolio AB Intermediate Municipal Portfolios</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>12</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R13.htm</HtmlFileName>
      <LongName>000301 - Disclosure - Risk/Return Detail Data {Elements} - California Municipal Portfolio AB Intermediate Municipal Portfolios</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsCaliforniaMunicipalPortfolioABIntermediateMunicipalPortfolios</Role>
      <ShortName>Risk/Return Detail Data- California Municipal Portfolio AB Intermediate Municipal Portfolios</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>13</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R14.htm</HtmlFileName>
      <LongName>000321 - Disclosure - Risk/Return Detail Data {Elements} - Diversified Municipal Portfolio AB Intermediate Municipal Portfolios</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsDiversifiedMunicipalPortfolioABIntermediateMunicipalPortfolios</Role>
      <ShortName>Risk/Return Detail Data- Diversified Municipal Portfolio AB Intermediate Municipal Portfolios</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>14</Position>
    </Report>
    <Report instance="bscfi-20250128.htm">
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <HtmlFileName>R15.htm</HtmlFileName>
      <LongName>000341 - Disclosure - Risk/Return Detail Data {Elements} - Intermediate Duration Portfolio AB Fixed-Income Taxable Portfolios</LongName>
      <ReportType>Sheet</ReportType>
      <Role>http://www.ABglobal.com/role/DisclosureRiskReturnDetailDataElementsIntermediateDurationPortfolioABFixedIncomeTaxablePortfolios</Role>
      <ShortName>Risk/Return Detail Data- Intermediate Duration Portfolio AB Fixed-Income Taxable Portfolios</ShortName>
      <MenuCategory>Risk/Return</MenuCategory>
      <Position>15</Position>
    </Report>
    <Report>
      <IsDefault>false</IsDefault>
      <HasEmbeddedReports>false</HasEmbeddedReports>
      <LongName>All Reports</LongName>
      <ReportType>Book</ReportType>
      <ShortName>All Reports</ShortName>
    </Report>
  </MyReports>
  <InputFiles>
    <File doctype="485BPOS" isN1a="true" isRR="true" isRRorOEF="true" original="bscfi-20250128.htm">bscfi-20250128.htm</File>
    <File>bscfi-20250128.xsd</File>
    <File>bscfi-20250128_cal.xml</File>
    <File>bscfi-20250128_def.xml</File>
    <File>bscfi-20250128_lab.xml</File>
    <File>bscfi-20250128_pre.xml</File>
  </InputFiles>
  <SupplementalFiles>
    <File>g12c59.jpg</File>
    <File>g1g01g01.jpg</File>
    <File>g1g01g16.jpg</File>
    <File>g1g01k09.jpg</File>
    <File>g1g10a10.jpg</File>
    <File>g1g12c59.jpg</File>
    <File>g1g18g18.jpg</File>
    <File>g1g22c48.jpg</File>
    <File>g1g26k26.jpg</File>
    <File>g1g31t33.jpg</File>
    <File>g1g33g33.jpg</File>
    <File>g1g40g40.jpg</File>
    <File>g1g49g49.jpg</File>
    <File>g1g57k57.jpg</File>
    <File>g1g66g66.jpg</File>
    <File>g1g75k75.jpg</File>
    <File>g22c48.jpg</File>
    <File>g22r62.jpg</File>
    <File>g30z98.jpg</File>
    <File>g34l49.jpg</File>
    <File>g46d67.jpg</File>
    <File>g47f97.jpg</File>
    <File>g50k53.jpg</File>
    <File>g65i22.jpg</File>
    <File>g67z55.jpg</File>
    <File>g96b87.jpg</File>
    <File>image_001.jpg</File>
    <File>image_002.jpg</File>
    <File>image_003.jpg</File>
    <File>image_004.jpg</File>
  </SupplementalFiles>
  <BaseTaxonomies>
    <BaseTaxonomy items="8">http://xbrl.sec.gov/dei/2023</BaseTaxonomy>
    <BaseTaxonomy items="1506">http://xbrl.sec.gov/rr/2023</BaseTaxonomy>
  </BaseTaxonomies>
  <HasPresentationLinkbase>true</HasPresentationLinkbase>
  <HasCalculationLinkbase>true</HasCalculationLinkbase>
</FilingSummary>
