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There are 6 thirteen-letter words containing RITHM

ANTILOGARITHM	• antilogarithm n. (Mathematics) The number of which a given number is the logarithm (to a given base). • ANTILOGARITHM n. a number of which a given number is the logarithm, also ANTILOG.
ARITHMETICIAN	• arithmetician n. (Now rare) One with expertise in arithmetic; a mathematician. • ARITHMETICIAN n. one who practises arithmetic.
ARITHMOMANIAS	• arithmomanias n. Plural of arithmomania. • ARITHMOMANIA n. an obsession with numbers, esp. compulsion to count things.
ARITHMOMETERS	• arithmometers n. Plural of arithmometer. • ARITHMOMETER n. (obsolete) an early adding machine.
ARITHMOPHOBIA	• arithmophobia n. The irrational fear of numbers or arithmetic. • ARITHMOPHOBIA n. a fear of numbers.
LOGARITHMICAL	• logarithmical adj. Alternative form of logarithmic. • LOGARITHMICAL adj. of or like a logarithm, also LOGARITHMIC.

Scrabble words — in black are valid world wide — in RED are not valid in North America — in GREEN are valid only in North America.
Definitions are short excerpt from the WikWik.org and 1Word.ws.

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English Wiktionary: 43 words
Scrabble in French: 10 words
Scrabble in Spanish: no word
Scrabble in Italian: no word
Scrabble in German: no word
Scrabble in Romanian: no word

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