48/29
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Ratio | 48/29 |
Subgroup monzo | 2.3.29 [4 1 -1⟩ |
Size in cents | 872.37781¢ |
Name | vicesimononal submajor sixth |
Color name | 29u6, twenu 6th |
FJS name | [math]\text{M6}_{29}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 10.4429 |
Weil height (log_{2} max(n, d)) | 11.1699 |
Wilson height (sopfr (nd)) | 40 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.08662 bits |
open this interval in xen-calc |
In 29-limit just intonation, 48/29 is the vicesimononal submajor sixth. It is flat of the Pythagorean major sixth (27/16) by 261/256 (~33 ¢), and flat of the classical major sixth (5/3) by 145/144 (~12 ¢).
Approximation
This interval is very accurately approximated by 11edo (8\11), with an error of less than half a cent.
See also
- 29/24 – its octave complement
- 29/16 – its twelfth complement