47/32: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = quadracesimoseptimal subfifth, prime harmonic subfifth | |||
| Name = | |||
| 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 '''quadracesimoseptimal subfifth''' or '''harmonic subfifth'''. It is the [[octave reduction|octave-reduced]] 47th [[harmonic]] and is close to 5\[[9edo|9]] (666.667{{cent}}). It is flat of the [[3/2|perfect fifth (3/2)]] by [[48/47]], and sharp of the [[729/512|Pythagorean augmented fourth (729/512)]] by [[752/729]]. This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval – specifically an [[2L 5s|antidiatonic]] fifth. The closest before this point is [[23/16]], a large tritone. | |||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Subfifth]] | [[Category:Subfifth]] | ||
Latest revision as of 09:56, 7 December 2024
| Interval information |
prime harmonic subfifth
reduced harmonic
[sound info]
47/32 is the quadracesimoseptimal subfifth or harmonic subfifth. It is the octave-reduced 47th harmonic and is close to 5\9 (666.667 ¢). It is flat of the perfect fifth (3/2) by 48/47, and sharp of the Pythagorean augmented fourth (729/512) by 752/729. This is the smallest octave-reduced harmonic after 3/2 that is recognizable as a "fifth" interval – specifically an antidiatonic fifth. The closest before this point is 23/16, a large tritone.