Products
  • Wolfram|One

    The definitive Wolfram Language and notebook experience

  • Mathematica

    The original technical computing environment

  • Notebook Assistant + LLM Kit

    All-in-one AI assistance for your Wolfram experience

  • Compute Services
  • System Modeler
  • Finance Platform
  • Wolfram|Alpha Notebook Edition
  • Application Server
  • Enterprise Private Cloud
  • Wolfram Engine
  • Wolfram Player
  • Wolfram Cloud App
  • Wolfram Player App

More mobile apps

Core Technologies of Wolfram Products

  • Wolfram Language
  • Computable Data
  • Wolfram Notebooks
  • AI & Linguistic Understanding

Deployment Options

  • Wolfram Cloud
  • wolframscript
  • Wolfram Engine Community Edition
  • Wolfram LLM API
  • WSTPServer
  • Wolfram|Alpha APIs

From the Community

  • Function Repository
  • Community Paclet Repository
  • Example Repository
  • Neural Net Repository
  • Prompt Repository
  • Wolfram Demonstrations
  • Data Repository
  • Group & Organizational Licensing
  • All Products
Consulting & Solutions

We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

  • Data & Computational Intelligence
  • Model-Based Design
  • Algorithm Development
  • Wolfram|Alpha for Business
  • Blockchain Technology
  • Education Technology
  • Quantum Computation

Wolfram Consulting

Wolfram Solutions

  • Data Science
  • Artificial Intelligence
  • Biosciences
  • Healthcare Intelligence
  • Sustainable Energy
  • Control Systems
  • Enterprise Wolfram|Alpha
  • Blockchain Labs

More Wolfram Solutions

Wolfram Solutions For Education

  • Research Universities
  • Colleges & Teaching Universities
  • Junior & Community Colleges
  • High Schools
  • Educational Technology
  • Computer-Based Math

More Solutions for Education

  • Contact Us
Learning & Support

Get Started

  • Wolfram Language Introduction
  • Fast Intro for Programmers
  • Fast Intro for Math Students
  • Wolfram Language Documentation

More Learning

  • Highlighted Core Areas
  • Demonstrations
  • YouTube
  • Daily Study Groups
  • Wolfram Schools and Programs
  • Books

Grow Your Skills

  • Wolfram U

    Courses in computing, science, life and more

  • Community

    Learn, solve problems and share ideas.

  • Blog

    News, views and insights from Wolfram

  • Resources for

    Software Developers

Tech Support

  • Contact Us
  • Support FAQs
  • Support FAQs
  • Contact Us
Company
  • About Wolfram
  • Career Center
  • All Sites & Resources
  • Connect & Follow
  • Contact Us

Work with Us

  • Student Ambassador Initiative
  • Wolfram for Startups
  • Student Opportunities
  • Jobs Using Wolfram Language

Educational Programs for Adults

  • Summer School
  • Winter School

Educational Programs for Youth

  • Middle School Camp
  • High School Research Program
  • Computational Adventures

Read

  • Stephen Wolfram's Writings
  • Wolfram Blog
  • Wolfram Tech | Books
  • Wolfram Media
  • Complex Systems

Educational Resources

  • Wolfram MathWorld
  • Wolfram in STEM/STEAM
  • Wolfram Challenges
  • Wolfram Problem Generator

Wolfram Initiatives

  • Wolfram Science
  • Wolfram Foundation
  • History of Mathematics Project

Events

  • Stephen Wolfram Livestreams
  • Online & In-Person Events
  • Contact Us
  • Connect & Follow
Wolfram|Alpha
  • Your Account
  • User Portal
  • Wolfram Cloud
  • Products
    • Wolfram|One
    • Mathematica
    • Notebook Assistant + LLM Kit
    • Compute Services
    • System Modeler
    • Finance Platform
    • Wolfram|Alpha Notebook Edition
    • Application Server
    • Enterprise Private Cloud
    • Wolfram Engine
    • Wolfram Player
    • Wolfram Cloud App
    • Wolfram Player App

    More mobile apps

    • Core Technologies
      • Wolfram Language
      • Computable Data
      • Wolfram Notebooks
      • AI & Linguistic Understanding
    • Deployment Options
      • Wolfram Cloud
      • wolframscript
      • Wolfram Engine Community Edition
      • Wolfram LLM API
      • WSTPServer
      • Wolfram|Alpha APIs
    • From the Community
      • Function Repository
      • Community Paclet Repository
      • Example Repository
      • Neural Net Repository
      • Prompt Repository
      • Wolfram Demonstrations
      • Data Repository
    • Group & Organizational Licensing
    • All Products
  • Consulting & Solutions

    We deliver solutions for the AI era—combining symbolic computation, data-driven insights and deep technical expertise

    WolframConsulting.com

    Wolfram Solutions

    • Data Science
    • Artificial Intelligence
    • Biosciences
    • Healthcare Intelligence
    • Sustainable Energy
    • Control Systems
    • Enterprise Wolfram|Alpha
    • Blockchain Labs

    More Wolfram Solutions

    Wolfram Solutions For Education

    • Research Universities
    • Colleges & Teaching Universities
    • Junior & Community Colleges
    • High Schools
    • Educational Technology
    • Computer-Based Math

    More Solutions for Education

    • Contact Us
  • Learning & Support

    Get Started

    • Wolfram Language Introduction
    • Fast Intro for Programmers
    • Fast Intro for Math Students
    • Wolfram Language Documentation

    Grow Your Skills

    • Wolfram U

      Courses in computing, science, life and more

    • Community

      Learn, solve problems and share ideas.

    • Blog

      News, views and insights from Wolfram

    • Resources for

      Software Developers
    • Tech Support
      • Contact Us
      • Support FAQs
    • More Learning
      • Highlighted Core Areas
      • Demonstrations
      • YouTube
      • Daily Study Groups
      • Wolfram Schools and Programs
      • Books
    • Support FAQs
    • Contact Us
  • Company
    • About Wolfram
    • Career Center
    • All Sites & Resources
    • Connect & Follow
    • Contact Us

    Work with Us

    • Student Ambassador Initiative
    • Wolfram for Startups
    • Student Opportunities
    • Jobs Using Wolfram Language

    Educational Programs for Adults

    • Summer School
    • Winter School

    Educational Programs for Youth

    • Middle School Camp
    • High School Research Program
    • Computational Adventures

    Read

    • Stephen Wolfram's Writings
    • Wolfram Blog
    • Wolfram Tech | Books
    • Wolfram Media
    • Complex Systems
    • Educational Resources
      • Wolfram MathWorld
      • Wolfram in STEM/STEAM
      • Wolfram Challenges
      • Wolfram Problem Generator
    • Wolfram Initiatives
      • Wolfram Science
      • Wolfram Foundation
      • History of Mathematics Project
    • Events
      • Stephen Wolfram Livestreams
      • Online & In-Person Events
    • Contact Us
    • Connect & Follow
  • Wolfram|Alpha
  • Wolfram Cloud
  • Your Account
  • User Portal
Wolfram Language & System Documentation Center
DateInterval
  • See Also
    • DateObject
    • InfinitePast
    • InfiniteFuture
    • DateBounds
    • Interval
    • DateWithinQ
    • DateOverlapsQ

    • Interpreter Types
    • Date
  • Related Guides
    • Date & Time
    • Interval Arithmetic
    • See Also
      • DateObject
      • InfinitePast
      • InfiniteFuture
      • DateBounds
      • Interval
      • DateWithinQ
      • DateOverlapsQ

      • Interpreter Types
      • Date
    • Related Guides
      • Date & Time
      • Interval Arithmetic

DateInterval[{start,end}]

represents the continuous interval of time between start and end.

DateInterval[{start,end},gran]

represents an interval of dates with calendar granularity gran.

DateInterval[{{start1,end1},{start2,end2},…}]

represents the union of intervals start1 to end1, start2 to end2, ….

DateInterval[gdate]

gives the date interval from the initial to final instants of the granular date object gdate.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Interval Operations  
Arithmetic  
Visualization  
Properties & Relations  
Possible Issues  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • DateObject
    • InfinitePast
    • InfiniteFuture
    • DateBounds
    • Interval
    • DateWithinQ
    • DateOverlapsQ

    • Interpreter Types
    • Date
  • Related Guides
    • Date & Time
    • Interval Arithmetic
    • See Also
      • DateObject
      • InfinitePast
      • InfiniteFuture
      • DateBounds
      • Interval
      • DateWithinQ
      • DateOverlapsQ

      • Interpreter Types
      • Date
    • Related Guides
      • Date & Time
      • Interval Arithmetic

DateInterval

DateInterval[{start,end}]

represents the continuous interval of time between start and end.

DateInterval[{start,end},gran]

represents an interval of dates with calendar granularity gran.

DateInterval[{{start1,end1},{start2,end2},…}]

represents the union of intervals start1 to end1, start2 to end2, ….

DateInterval[gdate]

gives the date interval from the initial to final instants of the granular date object gdate.

Details and Options

  • DateInterval[{start,end}] represents the continuous interval of time that begins with the date start and ends with the date end.
  • Input dates in DateInterval can be specified as DateObject expressions, date lists, absolute times or date strings.
  • DateInterval[…,gran] represents the collection of granular date objects of calendar granularity gran contained within the specified period. Possible calendar granularity specifications include:
  • "Millennium"1000-year period beginning with year XX00
    "MillenniumBeginning01"1000-year period beginning with year XX01
    "Century"100-year period beginning with year XX00
    "CenturyBeginning01"100-year period beginning with year XX01
    "Decade"10-year period including the date
    "Year"year including the date
    "Quarter"3-month quarter including the date
    "Month"month including the date
    "Week"week beginning Monday including the date
    "WeekBeginningSunday"week beginning Sunday including the date
    "Day"day including the date
    "Hour"hour including the date
    "Minute"minute including the date
    "Second"second including the date
    "Instant"the exact instant specified
  • DateInterval[{start,end},gran] normalizes its input dates to the specified granularity. DateInterval[{start,end}] uses the finest granularity of the start and end dates.
  • For {start,end} pairs, DateInterval includes the first instant associated with the start date and excludes the final instant associated with the end date.
  • When the granularity for the start and end dates is changed, the date interval will automatically expand to include the largest possible period compatible with their granularity.
  • DateInterval supports arithmetic and date-related computations.
  • Min[interval] and Max[interval] give the endpoints of a date interval.
  • The following options can be given:
  • CalendarTypeAutomaticcalendar system being used
    DateFormatAutomaticformat for typesetting dates
    DateGranularityAutomaticcalendar granularity for the date
    TimeSystemAutomatictime system being used
    TimeZoneAutomatictime zone being used
  • DateInterval[…][prop] gives the specified property of a date interval.
  • Possible properties include:
  • "CalendarType"calendar associated with the interval
    "DateBounds"first and last dates for the interval
    "DateFormat"the date format setting used for typesetting
    "Dates"DateObject representation of boundary dates
    "Duration"length of the interval as a Quantity object
    "Granularity"calendar granularity associated with the interval
    "Min"earliest date of the interval
    "Max"final date of the interval
    "TimeSystem"time system associated with the interval
    "TimeZone"time zone associated with the interval

Examples

open all close all

Basic Examples  (4)

Represent the period of time from one date to another:

Draw it on a timeline:

Represent all of the from the start date through the end date:

Get the date interval corresponding to today:

Find the current temporal distance to the beginning and end of today:

Represent the collection of days within the current month:

Scope  (6)

Interval Operations  (3)

DateInterval expressions may be used in interval operations such as IntervalMemberQ:

DateOverlapsQ may be used to test partial overlap for intervals that are not fully contained:

IntervalUnion may be used to combine multiple date intervals into a single expression:

IntervalIntersection will give the interval of time common to each interval:

Arithmetic  (2)

Add a duration to a date interval:

Find the difference of a date interval and a given date:

Visualization  (1)

Visualize a date interval using TimelinePlot:

Properties & Relations  (1)

Use Min and Max to find endpoints of date intervals:

DateBounds may also be used to find the endpoints:

Possible Issues  (1)

DateInterval accepts AbsoluteTime specifications for single-interval inputs:

In the case of a multi-interval, a list of pairs will be treated as a DateList specification:

FromAbsoluteTime may be used to disambiguate cases with absolute time specifications:

See Also

DateObject  InfinitePast  InfiniteFuture  DateBounds  Interval  DateWithinQ  DateOverlapsQ

Interpreter Types: Date

Related Guides

    ▪
  • Date & Time
  • ▪
  • Interval Arithmetic

History

Introduced in 2020 (12.1) | Updated in 2023 (13.3)

Wolfram Research (2020), DateInterval, Wolfram Language function, https://reference.wolfram.com/language/ref/DateInterval.html (updated 2023).

Text

Wolfram Research (2020), DateInterval, Wolfram Language function, https://reference.wolfram.com/language/ref/DateInterval.html (updated 2023).

CMS

Wolfram Language. 2020. "DateInterval." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2023. https://reference.wolfram.com/language/ref/DateInterval.html.

APA

Wolfram Language. (2020). DateInterval. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DateInterval.html

BibTeX

@misc{reference.wolfram_2025_dateinterval, author="Wolfram Research", title="{DateInterval}", year="2023", howpublished="\url{https://reference.wolfram.com/language/ref/DateInterval.html}", note=[Accessed: 01-May-2026]}

BibLaTeX

@online{reference.wolfram_2025_dateinterval, organization={Wolfram Research}, title={DateInterval}, year={2023}, url={https://reference.wolfram.com/language/ref/DateInterval.html}, note=[Accessed: 01-May-2026]}

Top
Introduction for Programmers
Introductory Book
Wolfram Function Repository | Wolfram Data Repository | Wolfram Data Drop | Wolfram Language Products
Top
  • Products
  • Wolfram|One
  • Mathematica
  • Notebook Assistant + LLM Kit
  • Compute Services
  • System Modeler

  • Wolfram|Alpha Notebook Edition
  • Wolfram|Alpha Pro
  • Mobile Apps

  • Wolfram Engine
  • Wolfram Player

  • Volume & Site Licensing
  • Server Deployment Options
  • Consulting
  • Wolfram Consulting
  • Repositories
  • Data Repository
  • Function Repository
  • Community Paclet Repository
  • Neural Net Repository
  • Prompt Repository

  • Wolfram Language Example Repository
  • Notebook Archive
  • Wolfram GitHub
  • Learning
  • Wolfram U
  • Wolfram Language Documentation
  • Webinars & Training
  • Educational Programs

  • Wolfram Language Introduction
  • Fast Introduction for Programmers
  • Fast Introduction for Math Students
  • Books

  • Wolfram Community
  • Wolfram Blog
  • Public Resources
  • Wolfram|Alpha
  • Wolfram Problem Generator
  • Wolfram Challenges

  • Computer-Based Math
  • Computational Thinking
  • Computational Adventures

  • Demonstrations Project
  • Wolfram Data Drop
  • MathWorld
  • Wolfram Science
  • Wolfram Media Publishing
  • Customer Resources
  • Store
  • Product Downloads
  • User Portal
  • Your Account
  • Organization Access

  • Support FAQ
  • Contact Support
  • Company
  • About Wolfram
  • Careers
  • Contact
  • Events
Wolfram Community Wolfram Blog
Legal & Privacy Policy
WolframAlpha.com | WolframCloud.com
© 2026 Wolfram
© 2026 Wolfram | Legal & Privacy Policy |
English