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Work

The tier split

Any split that adds to n is usable, and the correction step is what makes it add up after rounding. The topic's own tags are placed first and the remaining slots are divided, so the split describes the whole set rather than the slots that were free.

The Formula

broad = 0.25 n, mid = 0.45 n, niche = 0.30 n, corrected so the three add up to n

Any split that adds to n is usable, and the correction step is what makes it add up after rounding. The topic's own tags are placed first and the remaining slots are divided, so the split describes the whole set rather than the slots that were free.

SymbolMeaning
nTags wanted
n_bBroad tags
n_mMid tags
n_tNiche tags

What Each Symbol Means

ncount

Tags wanted

How many tags the set should contain.

n_bcount

Broad tags

Slots filled from the million-plus tier.

n_mcount

Mid tags

Slots filled from the hundred-thousand tier.

n_tcount

Niche tags

Slots filled from the smallest tier.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to choose hashtags page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Choose Hashtags, filed under Everyday Life. Every number the guide produces comes from substituting into this one line.