88/81, the 2nd undecimal neutral second[1], is an interval of about 143.5 cents. It is 352/351 (4.9 cents) sharp of 13/12 and 243/242 (7.1 cents) flat of 12/11. It is also the interval between 9/8 and 11/9. In Alpharabian tuning it is known as the Alpharabian artoneutral second.

Interval information
Ratio 88/81
Factorization 23 × 3-4 × 11
Monzo [3 -4 0 0 1
Size in cents 143.4979¢
Names 2nd undecimal neutral second,
Alpharabian artoneutral second
Color name 1o2, ilo second
FJS name [math]\displaystyle{ \text{m2}^{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 12.7993
Weil norm (log2 max(n, d)) 12.9189
Wilson norm (sopfr(nd)) 29
Open this interval in xen-calc

Approximation

Edo approximations for 88/81 (143.50 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
8 1\8 150.00 +6.50 +4.33
9 1\9 133.33 -10.16 -7.62
16 2\16 150.00 +6.50 +8.67
17 2\17 141.18 -2.32 -3.29
25 3\25 144.00 +0.50 +1.05
33 4\33 145.45 +1.96 +5.38
34 4\34 141.18 -2.32 -6.58
41 5\41 146.34 +2.84 +9.72
42 5\42 142.86 -0.64 -2.24
50 6\50 144.00 +0.50 +2.09
51 6\51 141.18 -2.32 -9.87
58 7\58 144.83 +1.33 +6.43
59 7\59 142.37 -1.13 -5.53
67 8\67 143.28 -0.21 -1.20
75 9\75 144.00 +0.50 +3.14
76 9\76 142.11 -1.39 -8.82

See also

References