44/31

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Revision as of 17:04, 27 April 2025 by Xenllium (talk | contribs) (Created page with "{{Infobox Interval | Name = greater tricesimoprimal tritone | Color name = 31u1o5, thiwulo 5th }} In 31-limit just intonation, '''44/31''' is the '''greater tricesimoprimal tritone'''. It is flat of the Pythagorean augmented fourth (729/512) by 22599/22528 (~5.4{{cent}}), flat of greater septimal tritone (10/7) by 155/154 (~11.2{{cent}}), flat of the greater ptolemaic tritone (64/45) by 496/495 (~3.5{{cent}}), and sharp...")
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Interval information
Ratio 44/31
Subgroup monzo 2.11.31 [2 1 -1⟩
Size in cents 606.2824¢
Name greater tricesimoprimal tritone
Color name 31u1o5, thiwulo 5th
FJS name [math]\displaystyle{ \text{d5}^{11}_{31} }[/math]
Special properties reduced
Tenney height (log2 nd) 10.4136
Weil height (log2 max(n, d)) 10.9189
Wilson height (sopfr(nd)) 46
Open this interval in xen-calc

In 31-limit just intonation, 44/31 is the greater tricesimoprimal tritone. It is flat of the Pythagorean augmented fourth (729/512) by 22599/22528 (~5.4 ¢), flat of greater septimal tritone (10/7) by 155/154 (~11.2 ¢), flat of the greater ptolemaic tritone (64/45) by 496/495 (~3.5 ¢), and sharp of the greater septendecimal tritone (17/12) by 528/527 (~3.3 ¢).

See also

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