Gothic comma

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.

Interval information

Ratio	134217728/129140163
Factorization	227 × 3-17
Monzo	[27 -17⟩
Size in cents	66.76499¢
Names	17-comma, 17-3-comma
Color name	s33
FJS name	[math]\displaystyle{ \text{dd3} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	53.9444
Weil norm (log2 max(n, d))	54
Wilson norm (sopfr(nd))	105
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See also

• Gallery of Just Intervals
• Medium commas