28/19

Interval information

Ratio	28/19
Factorization	22 × 7 × 19-1
Monzo	[2 0 0 1 0 0 0 -1⟩
Size in cents	671.3129¢
Name	hendrix fifth
Color name	19uz5, nuzo 5th
FJS name	[math]\displaystyle{ \text{P5}^{7}_{19} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.05528
Weil norm (log2 max(n, d))	9.61471
Wilson norm (sopfr(nd))	30
[sound info]
Open this interval in xen-calc

28/19, the hendrix fifth, is 19-limit interval that is a hendrix comma (57/56) flat of the just perfect fifth (3/2).

When used as a generator, it produces the ostara temperament.

Approximation

Edo approximations for 28/19 (671.31 ¢)
≤ 80edo, relative error ≤ 10%

Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
7	4\7	685.71	+14.40	+8.40
9	5\9	666.67	-4.65	-3.48
16	9\16	675.00	+3.69	+4.92
18	10\18	666.67	-4.65	-6.97
25	14\25	672.00	+0.69	+1.43
32	18\32	675.00	+3.69	+9.83
34	19\34	670.59	-0.72	-2.05
41	23\41	673.17	+1.86	+6.35
43	24\43	669.77	-1.55	-5.54
50	28\50	672.00	+0.69	+2.86
52	29\52	669.23	-2.08	-9.02
59	33\59	671.19	-0.13	-0.62
66	37\66	672.73	+1.41	+7.78
68	38\68	670.59	-0.72	-4.11
75	42\75	672.00	+0.69	+4.29
77	43\77	670.13	-1.18	-7.59

See also

• 19/14 – its octave complement
• 57/56 – its fifth complement, the hendrix comma

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