31/27
Jump to navigation
Jump to search
Ratio | 31/27 |
Subgroup monzo | 3.31 [-3 1⟩ |
Size in cents | 239.17057¢ |
Names | tricesimoprimal ultramajor second, tricesimoprimal inframinor third |
FJS name | [math]\text{M2}^{31}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 9.70908 |
Weil height (log_{2} max(n, d)) | 9.90839 |
Wilson height (sopfr (nd)) | 40 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.21409 bits |
open this interval in xen-calc |
In 31-limit just intonation, 31/27 is either the tricesimoprimal ultramajor second or tricesimoprimal inframinor third. It is sharp of the Pythagorean major second (9/8) by 248/243, and flat of the minor third (32/27) by 32/31.
Approximation
This interval is very accurately approximated by 1\5.
See also
- 54/31 – its octave complement