28/17: Difference between revisions

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In [[17-limit]] [[just intonation]], '''28/17''' is the '''septendecimal submajor sixth'''. It is the [[mediant]] of [[5/3]] and [[23/14]]. Its [[octave complement]] is [[17/14]], the septendecimal supraminor third.
In [[17-limit]] [[just intonation]], '''28/17''' is the '''septendecimal submajor sixth'''. It is the [[mediant]] of [[5/3]] and [[23/14]]. Its [[octave complement]] is [[17/14]], the septendecimal supraminor third.
 
== Approximation ==
{{Interval_Edo_Approximation | 28/17}}
== See also ==
== See also ==
* [[17/14]] – its [[octave complement]]
* [[17/14]] – its [[octave complement]]

Revision as of 07:40, 3 November 2025

Interval information
Ratio 28/17
Factorization 22 × 7 × 17-1
Monzo [2 0 0 1 0 0 -1
Size in cents 863.8705¢
Name septendecimal submajor sixth
Color name 17uz6, suzo 6th
FJS name [math]\displaystyle{ \text{M6}^{7}_{17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.89482
Weil norm (log2 max(n, d)) 9.61471
Wilson norm (sopfr(nd)) 28

[sound info]
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In 17-limit just intonation, 28/17 is the septendecimal submajor sixth. It is the mediant of 5/3 and 23/14. Its octave complement is 17/14, the septendecimal supraminor third.

Approximation

Edo approximations for 28/17 (863.87 ¢)
≤ 80edo, relative error ≤ 10%
Edo Step size Cents (¢) Absolute error (¢) Relative error (%)
7 5\7 857.14 -6.73 -3.92
11 8\11 872.73 +8.86 +8.12
14 10\14 857.14 -6.73 -7.85
18 13\18 866.67 +2.80 +4.19
25 18\25 864.00 +0.13 +0.27
32 23\32 862.50 -1.37 -3.65
36 26\36 866.67 +2.80 +8.39
39 28\39 861.54 -2.33 -7.58
43 31\43 865.12 +1.25 +4.46
50 36\50 864.00 +0.13 +0.54
57 41\57 863.16 -0.71 -3.38
61 44\61 865.57 +1.70 +8.66
64 46\64 862.50 -1.37 -7.31
68 49\68 864.71 +0.84 +4.73
75 54\75 864.00 +0.13 +0.81

See also