Cryptic crossword clue
Inclined to cry about R number based on three … 7

The most common and most likely answer to this crossword clue is the 7 letter word TERNARY

I've seen this crossword clue in The Daily Telegraph
T
E
R
N
A
R
Y

Buddy explains!

The straight part
We know that "based on three" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case based on three = ternary.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does TERNARY mean?

TERNARY noun
  1. A group of three things; a trio, threesome or tierce.
  2. The Holy Trinity.
TERNARY adjective
  1. Made up of three things; treble, triadic, triple, triplex.
  2. Arranged in groups of three.
  3. To the base three.
  4. Having three variables.
  5. Containing, or consisting of, three different parts, as elements, atoms, groups, or radicals, which are regarded as having different functions or relations in the molecule.

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