In 17-limit just intonation, 17/14 is the septendecimal supraminor third measuring about 336.1¢. It is the mediant between 6/5 and 11/9, as it is (6+11)/(5+9). A 14:17:21 root-3rd-P5 triad can be built with 17/14 as the bottom third and 21/17 as the top third. This may thus represent a septendecimal "shading" of a minor triad.

Interval information
Ratio 17/14
Factorization 2-1 × 7-1 × 17
Monzo [-1 0 0 -1 0 0 1
Size in cents 336.1295¢
Name septendecimal supraminor third
Color name 17or3, soru 3rd
FJS name [math]\displaystyle{ \text{m3}^{17}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 7.89482
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 26

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Approximation

Edo approximations for 17/14 (336.13 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
7 2\7 342.86 +6.73 +3.92
11 3\11 327.27 -8.86 -8.12
14 4\14 342.86 +6.73 +7.85
18 5\18 333.33 -2.80 -4.19
25 7\25 336.00 -0.13 -0.27
32 9\32 337.50 +1.37 +3.65
36 10\36 333.33 -2.80 -8.39
39 11\39 338.46 +2.33 +7.58
43 12\43 334.88 -1.25 -4.46
50 14\50 336.00 -0.13 -0.54
57 16\57 336.84 +0.71 +3.38
61 17\61 334.43 -1.70 -8.66
64 18\64 337.50 +1.37 +7.31
68 19\68 335.29 -0.84 -4.73
75 21\75 336.00 -0.13 -0.81

See also