29/24: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
mNo edit summary
+approximation
Line 3: Line 3:
}}
}}
In [[29-limit]] [[just intonation]], '''29/24''' is the '''vicesimononal supraminor third'''. It is sharp of the [[32/27|Pythagorean minor third (32/27)]] by [[261/256]] (~33{{cent}}), and sharp of the [[6/5|classical minor third (6/5)]] by [[145/144]] (~12{{cent}}).
In [[29-limit]] [[just intonation]], '''29/24''' is the '''vicesimononal supraminor third'''. It is sharp of the [[32/27|Pythagorean minor third (32/27)]] by [[261/256]] (~33{{cent}}), and sharp of the [[6/5|classical minor third (6/5)]] by [[145/144]] (~12{{cent}}).
== Approximation ==
This interval is very accurately approximated by [[11edo]] (3\11), with an error of less than half a cent.


== See also ==
== See also ==

Revision as of 02:34, 1 March 2024

Interval information
Ratio 29/24
Subgroup monzo 2.3.29 [-3 -1 1
Size in cents 327.6222¢
Name vicesimononal supraminor third
FJS name [math]\displaystyle{ \text{m3}^{29} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.44294
Weil norm (log2 max(n, d)) 9.71596
Wilson norm (sopfr(nd)) 38
Open this interval in xen-calc

In 29-limit just intonation, 29/24 is the vicesimononal supraminor third. It is sharp of the Pythagorean minor third (32/27) by 261/256 (~33 ¢), and sharp of the classical minor third (6/5) by 145/144 (~12 ¢).

Approximation

This interval is very accurately approximated by 11edo (3\11), with an error of less than half a cent.

See also