Valentine comma

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Interval information
Ratio 1990656/1953125
Factorization 213 × 35 × 5-9
Monzo [13 5 -9
Size in cents 32.95158¢
Name valentine comma
Color name satritrigu 3rd, sg93
FJS name [math]\text{dddd3}_{5,5,5,5,5,5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 41.8222
Weil height (log2 max(n, d)) 41.8496
Wilson height (sopfr (nd)) 86
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.49887 bits
Comma size medium
open this interval in xen-calc

The valentine comma (ratio: 1990656/1953125, monzo[13 5 -9 is a medium 5-limit comma. It is the amount by which a stack of four 25/24's falls short of 6/5, or a stack of five 25/24's falls short of 5/4. In terms of commas, it is the difference between the lesser diesis (128/125) and the kleisma (15625/15552), and is also equal to one-half of the difference between nine 25/24's and a perfect fifth (3/2). Tempering it out leads to the 5-limit version of valentine temperament.