49/40

Interval information

Ratio	49/40
Factorization	2-3 × 5-1 × 72
Monzo	[-3 0 -1 2⟩
Size in cents	351.3381¢
Name	larger septimal neutral third
FJS name	[math]\displaystyle{ \text{d4}^{7,7}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.9366
Weil height (log2 max(n, d))	11.2294
Wilson height (sopfr(nd))	25
[sound info]
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49/40, the larger septimal neutral third, is only 2401/2400 (0.72 cents) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 cents) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.

See also

• 24edo
• Iceface Tuning
• Gallery of just intervals