49/45

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Revision as of 10:09, 20 July 2026 by FloraC (talk | contribs) (Discourage this name, which invokes the 11-limit for a 7-limit interval. + how to conceptualize it in the 7-limit)
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Interval information
Ratio 49/45
Factorization 3-2 × 5-1 × 72
Monzo [0 -2 -1 2
Size in cents 147.4281¢
Name(s) missing ? 
Color name zzg3, zozogu 3rd
FJS name [math]\displaystyle{ \text{d3}^{7,7}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.1066
Weil norm (log2 max(n, d)) 11.2294
Wilson norm (sopfr(nd)) 25
Open this interval in xen-calc

49/45 is a 7-limit interval. It appears as the interval between 15/14 and 7/6 as well as 9/7 and 7/5, and their inversions. It therefore functions as a diminished third, flat of the Pythagorean diminished third by a septimal comma and an aberschisma. Alternatively, if viewed as a second, it is flat of the whole tone by 405/392, the greenwoodma.

Terminology

This interval has been called the swetismic neutral second, viewed as being fudged from 12/11 by 540/539 (3.21 cents), which represents one of the ways approximate 11-limit harmony appears in 7-limit scales.