68/65

Interval information

Ratio	68/65
Factorization	22 × 5-1 × 13-1 × 17
Monzo	[2 0 -1 0 0 -1 1⟩
Size in cents	78.11403¢
Name	valentine semitone
Color name	17o3ug2, sothugu 2nd
FJS name	[math]\text{m2}^{17}_{5,13}[/math]
Special properties	reduced
Tenney height (log2 nd)	12.1098
Weil height (log2 max(n, d))	12.1749
Wilson height (sopfr(nd))	39
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.33247 bits
[sound info]
open this interval in xen-calc

68/65, the valentine semitone, is a 17-limit interval which makes for a good generator for valentine temperament. It is between 2\31 (77.4 cents) and 3\46 (78.3 cents).