47/32: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = octave-reduced 47th harmonic
| Name = quadragesimoseptimal subfifth
| Color name = 47o5, foso fifth
| Color name = 47o5, foso fifth
| Sound = Ji-47-32-csound-foscil-220hz.mp3
| Sound = Ji-47-32-csound-foscil-220hz.mp3
}}
}}


'''47/32''' is the [[Octave reduction|octave-reduced]] 47th [[harmonic]]. It is close to 5\[[9edo|9]] (666.66667 [[Cent|¢]]). This is the smallest octave-reduced harmonic after [[3/2]] that could reasonably be considered a kind of "perfect fifth", although an extremely flat one, being somewhere in the transition between subfifths and [[Mavila]] narrow perfect fifths.
'''47/32''' is the '''quadragesimoseptimal subfifth'''. It is the [[Octave reduction|octave-reduced]] 47th [[harmonic]] and is close to 5\[[9edo|9]] (666.66667 [[Cent|¢]]). This is the smallest octave-reduced harmonic after [[3/2]] that is recognizable as a "fifth" interval–the closest before this point is [[23/16]], a large tritone.


[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Subfifth]]
[[Category:Subfifth]]

Revision as of 01:34, 10 March 2024

Interval information
Ratio 47/32
Subgroup monzo 2.47 [-5 1⟩
Size in cents 665.5066¢
Name quadragesimoseptimal subfifth
Color name 47o5, foso fifth
FJS name [math]\displaystyle{ \text{P5}^{47} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 10.5546
Weil height (log2 max(n, d)) 11.1092
Wilson height (sopfr(nd)) 57

[sound info]
Open this interval in xen-calc

47/32 is the quadragesimoseptimal subfifth. It is the octave-reduced 47th harmonic and is close to 5\9 (666.66667 ¢). This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval–the closest before this point is 23/16, a large tritone.

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