37/32: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 37/32
| Name = octave-reduced 37th harmonic, harmonic semifourth
| Monzo = -5 0 0 0 0 0 0 0 0 0 0 1
| Cents = 251.34404
| Name = octave-reduced 37th harmonic, <br>harmonic semifourth
| Color name = 37o3, thiso third
| Color name = 37o3, thiso third
| FJS name = M2<sup>37</sup>
| Sound = Ji-37-32-csound-foscil-220hz.mp3
| Sound = Ji-37-32-csound-foscil-220hz.mp3
}}
}}
 
'''37/32''' is the [[Octave reduction|octave-reduced]] 37th [[harmonic]]. It is intermediate in size between major seconds and minor thirds, and belongs to the [[interseptimal]] category of "semifourths". It is sharp of the [[9/8|Pythagorean major second (9/8)]] by [[37/36]], a quartertone of about 47.4 cents.  
'''37/32''' is the [[Octave reduction|octave-reduced]] 37th [[harmonic]]. It is intermediate in size between major seconds and minor thirds, and belongs to the [[interseptimal]] category of "semifourths".


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:37-limit]]
[[Category:Interseptimal intervals]]
[[Category:Interseptimal]]
[[Category:Semifourth]]
[[Category:Semifourth]]
[[Category:Second]]
[[Category:Second]]
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[[Category:Third]]
[[Category:Third]]
[[Category:Subminor third]]
[[Category:Subminor third]]
[[Category:Octave-reduced harmonics]]
{{todo| expand }}

Latest revision as of 07:54, 3 January 2025

Interval information
Ratio 37/32
Subgroup monzo 2.37 [-5 1
Size in cents 251.344¢
Names octave-reduced 37th harmonic,
harmonic semifourth
Color name 37o3, thiso third
FJS name [math]\displaystyle{ \text{M2}^{37} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.2095
Weil height (log2 max(n, d)) 10.4189
Wilson height (sopfr(nd)) 47

[sound info]
Open this interval in xen-calc

37/32 is the octave-reduced 37th harmonic. It is intermediate in size between major seconds and minor thirds, and belongs to the interseptimal category of "semifourths". It is sharp of the Pythagorean major second (9/8) by 37/36, a quartertone of about 47.4 cents.

See also