980/729

Interval information

Ratio

980/729

Factorization

2² × 3^-6 × 5 × 7²

Monzo

[2 -6 1 2⟩

Size in cents

512.2355¢

Names

sensamagic fourth,
septimal sesquidiminished grave fifth

Color name

zzy5, zozoyo 5th

FJS name

[math]\displaystyle{ \text{d5}^{5,7,7} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

19.4464

Weil height (log₂ max(n, d))

19.8733

Wilson height (sopfr(nd))

41

Open this interval in xen-calc

980/729, the sensamagic fourth or septimal sesquidiminished grave fifth 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 scales 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.

980/729

See also