980/729

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Interval information
Ratio 980/729
Monzo [2 -6 1 2
Size in cents 512.23552
Name(s) sensamagic fourth
Color name zzy5, zozoyo 5th
FJS name d55, 49

980/729, the sensamagic fourth is a 7-limit ratio of about 512 cents, sharp of a just fourth 4/3 by a sensamagic comma 245/243.

It arises in just intonation as the difference between the supermajor third 9/7 and the semidiminished seventh 140/81, making it a critical tempering target in the Canovian chord. However, its distinction from 4/3 is emphasised in the canou family of temperaments, through its accessibility by two steps of the 81/70-generator.

See also