How to calculate course handicap for a course with non-standard # of holes

Beginner Questions Forum
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I am working on building the backend to enable users to play live courses on a wiki platform. Since it’s a wiki, users can add any course with any rating and slope (official or not). The standard method for calculating course handicaps is:

For 18 holes: Course Handicap = Handicap Index * (Slope Rating ÷ 113) + (Course Rating – par)

For 9 holes: Course Handicap = (Handicap Index/2) * (Slope Rating ÷ 113) + (Course Rating – par)

However, the USGA doesn’t provide a generalized form of this equation.

My question is:

Is the generalized formula for calculating course handicap:

Course Handicap = (number of holes ÷ 18) * Handicap Index) * (Slope Rating ÷ 113) + (Course Rating–par)

Correct?

If not, what is the correct method for calculating the course handicap for non-standard courses like Shiskine, the Sandbox, or the 21?

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Shiskine provides a conversion chart at this link: Handicap Index Conversion Chart.

To my knowledge, there isn’t a standard method for this.

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To calculate your course handicap, go to the USGA’s Course Handicap Calculator at this link: USGA Course Handicap Calculator. Enter your data into the provided fields to get your result.