48/29: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
+approximation
Francium (talk | contribs)
m +color name
 
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Name = vicesimononal submajor sixth
| Name = vicesimononal submajor sixth
| Color name = 29u6, twenu 6th
}}
}}
In [[29-limit]] [[just intonation]], '''48/29''' is the '''vicesimononal submajor sixth'''. It is flat of the [[27/16|Pythagorean major sixth (27/16)]] by [[261/256]] (~33{{cent}}), and flat of the [[5/3|classical major sixth (5/3)]] by [[145/144]] (~12{{cent}}).
In [[29-limit]] [[just intonation]], '''48/29''' is the '''vicesimononal submajor sixth'''. It is flat of the [[27/16|Pythagorean major sixth (27/16)]] by [[261/256]] (~33{{cent}}), and flat of the [[5/3|classical major sixth (5/3)]] by [[145/144]] (~12{{cent}}).

Latest revision as of 19:28, 22 March 2024

Interval information
Ratio 48/29
Subgroup monzo 2.3.29 [4 1 -1
Size in cents 872.3778¢
Name vicesimononal submajor sixth
Color name 29u6, twenu 6th
FJS name [math]\displaystyle{ \text{M6}_{29} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.4429
Weil norm (log2 max(n, d)) 11.1699
Wilson norm (sopfr(nd)) 40
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