29/28

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 29/28
Subgroup monzo 2.7.29 [-2 -1 1⟩
Size in cents 60.75129 ¢
Names vicesimononal thirdtone,
greater vicesimononal quartertone
Color name 29or1, twenoru unison
FJS name [math]\displaystyle{ \text{P1}^{29}_{7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 9.66534
Weil norm (log2 max(n, d)) 9.71596
Wilson norm (sopfr(nd)) 40
Open this interval in xen-calc

In 29-limit just intonation, 29/28 is the vicesimononal thirdtone or greater vicesimononal quartertone, measuring about 60.8 cents. It is equal to a stack of a septimal comma and a vicesimononal comma.

Approximation

Edo approximations for 29/28 (60.75 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
18 1\18 66.67 +5.92 +8.87
19 1\19 63.16 +2.41 +3.81
20 1\20 60.00 -0.75 -1.25
21 1\21 57.14 -3.61 -6.31
38 2\38 63.16 +2.41 +7.62
39 2\39 61.54 +0.79 +2.56
40 2\40 60.00 -0.75 -2.50
41 2\41 58.54 -2.21 -7.57
58 3\58 62.07 +1.32 +6.37
59 3\59 61.02 +0.27 +1.31
60 3\60 60.00 -0.75 -3.76
61 3\61 59.02 -1.73 -8.82
78 4\78 61.54 +0.79 +5.12
79 4\79 60.76 +0.01 +0.05
80 4\80 60.00 -0.75 -5.01

See also