Whoever coined the term "octave" was not familiar with addressing fencepost errors.

How many notes is this:

A B C D E F G

Whoever coined the term "octave" was not familiar with addressing fencepost errors.

How many notes is this:

A B C D E F G

- 5 years ago
- 5 years 6 months ago
- 5 years 8 months ago
- 5 years 8 months ago
- 5 years 10 months ago

## The linked article poses a

The linked article poses a question similar to this, "If your fence has n posts, how many gaps does it have?" The article claims that the correct answer can be n-1, n, or n+1 depending on the fence's configuration.

At first reading I was convinced that the claim was incorrect. Only after ~15 minutes of thinking did I realize that the claim is in fact correct.

So, extra credit for anyone who can think of three fence configurations to provide the three possibly correct answers.

## If linear, then N-1

If linear, then N-1

If triangular, then N

If forming bins, or stacked floor/ceiling as in an apartment building, N+1