Gothic comma: Difference between revisions

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{{Infobox Interval
| Icon =
| Ratio = 134217728/129140163
| Monzo = 27 -17
| Cents = 66.76499
| Name = 17-comma, <br>17-3-comma
| Color name = s<sup>3</sup>3
| FJS name = dd3
| Sound =
}}
'''134217728/129140163''' = {{monzo|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 2<sup>10</sup>/(3/2)<sup>17</sup>. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].  
'''134217728/129140163''' = {{monzo|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 2<sup>10</sup>/(3/2)<sup>17</sup>. For EDOs up to 150 the 17-comma is tempered out if and only if 17 divides it, for example [[17edo]], [[34edo]] or [[68edo]].  



Revision as of 03:34, 22 April 2021

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
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