17-comma
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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.