31/22

Revision as of 16:58, 27 April 2025 by Xenllium (talk | contribs) (Created page with "{{Infobox Interval | Name = lesser tricesimoprimal tritone | Color name = 31o1u4, thiwolu 4th }} In 31-limit just intonation, '''31/22''' is the '''lesser tricesimoprimal tritone'''. It is sharp of the Pythagorean diminished fifth (1024/729) by 22599/22528 (~5.4{{cent}}), sharp of lesser septimal tritone (7/5) by 155/154 (~11.2{{cent}}), sharp of the lesser ptolemaic tritone (45/32) by 496/495 (~3.5{{cent}}), and flat of...")

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Interval information

Ratio

31/22

2.11.31 [-1 -1 1⟩

Size in cents

593.7176¢

Name

lesser tricesimoprimal tritone

31o1u4, thiwolu 4th

[math]\displaystyle{ \text{A4}^{31}_{11} }[/math]

Special properties

Tenney height (log₂ nd)

9.41363

Weil height (log₂ max(n, d))

9.90839

Wilson height (sopfr(nd))

44

Open this interval in xen-calc

In 31-limit just intonation, 31/22 is the lesser tricesimoprimal tritone. It is sharp of the Pythagorean diminished fifth (1024/729) by 22599/22528 (~5.4 ¢), sharp of lesser septimal tritone (7/5) by 155/154 (~11.2 ¢), sharp of the lesser ptolemaic tritone (45/32) by 496/495 (~3.5 ¢), and flat of the lesser septendecimal tritone (24/17) by 528/527 (~3.3 ¢).

See also

44/31 – its octave complement
33/31 – its fifth complement

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