38/29: Difference between revisions

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| Color name = 29u19o4, twenuno 4th
| Color name = 29u19o4, twenuno 4th
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In [[29-limit]] [[just intonation]], '''38/29''' is a subfourth. It is flat of the [[4/3|perfect fourth (4/3)]] by [[58/57]] (~30{{cent}}). It is very close to [[21/16]], the octave-reduced 21st harmonic, differing by [[609/608]].  
In [[29-limit]] [[just intonation]], '''38/29''' is a subfourth. It is flat of the [[4/3|perfect fourth (4/3)]] by [[58/57]] (~30{{cent}}). It is very close to [[21/16]], the octave-reduced 21st harmonic, differing by [[609/608]]. It also differs by less than 0.035 cents from the subfourth obtained from dividing [[3/2]] into three equal parts and taking two of them.  


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

Latest revision as of 00:35, 10 July 2025

Interval information
Ratio 38/29
Subgroup monzo 2.19.29 [1 1 -1
Size in cents 467.9358¢
Name Narrow vicesimononal subfourth
Color name 29u19o4, twenuno 4th
FJS name [math]\displaystyle{ \text{P4}^{19}_{29} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.1059
Weil norm (log2 max(n, d)) 10.4959
Wilson norm (sopfr(nd)) 50
Open this interval in xen-calc

In 29-limit just intonation, 38/29 is a subfourth. It is flat of the perfect fourth (4/3) by 58/57 (~30 ¢). It is very close to 21/16, the octave-reduced 21st harmonic, differing by 609/608. It also differs by less than 0.035 cents from the subfourth obtained from dividing 3/2 into three equal parts and taking two of them.

See also