17-comma

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Interval information
Ratio 134217728/129140163
Factorization 227 × 3-17
Monzo [27 -17
Size in cents 66.764985¢
Names 17-comma,
17-3-comma
Color name ssw3, sasawa 3rd,
Wa-17 comma
FJS name [math]\text{dd3}[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 53.9444
Weil height (log2 max(n, d)) 54
Wilson height (sopfr (nd)) 105
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.73855 bits
Comma size medium
open this interval in xen-calc

134217728/129140163 = [27 -17, called the 17-comma, is an interval of 66.765 cents. It is the amount by which seventeen fifths fall short of ten octaves, or 210/(3/2)17. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example 17edo, 34edo or 68edo.

See also