68/65

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Interval information
Ratio 68/65
Factorization 22 × 5-1 × 13-1 × 17
Monzo [2 0 -1 0 0 -1 1
Size in cents 78.114034¢
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).