21/19

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Interval information

Ratio

21/19

Factorization

3 × 7 × 19^-1

[0 1 0 1 0 0 0 -1⟩

Size in cents

173.2679¢

Names

hendrix major second,
undevicesimal submajor second,
undevicesimal supraneutral second

19uz2, nuzo 2nd

[math]\text{M2}^{7}_{19}[/math]

Special properties

Tenney height (log₂ nd)

8.64024

Weil height (log₂ max(n, d))

8.78463

Wilson height (sopfr(nd))

29

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.21455 bits

Open this interval in xen-calc

In 19-limit just intonation, 21/19 is the hendrix major second, also known as the undevicesimal submajor second or undevicesimal supraneutral second. It falls short of the Pythagorean major second (9/8) by a hendrix comma (57/56).

See also

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