729/490

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729/490, the sensamagic fifth or septimal sesquiaugmented acute fourth is a 7-limit ratio of about 687 cents, flat of a just fifth 3/2 by a sensamagic comma 245/243.

Interval information
Ratio 729/490
Factorization 2-1 × 36 × 5-1 × 7-2
Monzo [-1 6 -1 -2
Size in cents 687.7645¢
Names sensamagic fifth,
septimal sesquiaugmented acute fourth
Color name rrg4, rurugu 4th
FJS name [math]\displaystyle{ \text{A4}_{5,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.4464
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 39
Open this interval in xen-calc

It arises in just intonation scales often as the octave complement of 980/729.

See also