47/32: Difference between revisions

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same reason as 43/32. but in any case, quadracesimoseptimal is spelled with a C
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{{Infobox Interval
{{Infobox Interval
| Name =  quadracesimoseptimal subfifth', harmonic subfifth
| Name =  quadracesimoseptimal subfifth, harmonic 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

Revision as of 02:23, 25 October 2024

Interval information
Ratio 47/32
Subgroup monzo 2.47 [-5 1
Size in cents 665.5066¢
Names quadracesimoseptimal subfifth,
harmonic 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 quadracesimoseptimal subfifth or harmonic 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.