48/47: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 48/47 | Name = | Color name = | Comma = yes }} '''48/47''' is a 47-limit (specifically 2.3.47-subgroup) comma. It is the amount by which..."
 
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'''48/47''' is a [[47-limit]] (specifically 2.3.47-subgroup) [[comma]]. It is the amount by which the octave-reduced 47th harmonic [[47/32]] falls short of the [[3/2|perfect fifth (3/2)]]. It is significant in the [[Functional Just System]] as the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval.
'''48/47''' is a [[medium comma|medium]] [[47-limit]] (specifically 2.3.47-subgroup) [[comma]]. It is the amount by which the octave-reduced 47th harmonic [[47/32]] falls short of the [[3/2|perfect fifth (3/2)]]. It is significant in the [[Functional Just System]] and [[Helmholtz–Ellis notation]] as the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval.

Latest revision as of 13:41, 12 July 2025

Interval information
Ratio 48/47
Subgroup monzo 2.3.47 [4 1 -1
Size in cents 36.44838¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{P1}_{47} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 11.1396
Weil height (log2 max(n, d)) 11.1699
Wilson height (sopfr(nd)) 58
Comma size medium
Open this interval in xen-calc

48/47 is a medium 47-limit (specifically 2.3.47-subgroup) comma. It is the amount by which the octave-reduced 47th harmonic 47/32 falls short of the perfect fifth (3/2). It is significant in the Functional Just System and Helmholtz–Ellis notation as the formal comma to translate a Pythagorean interval to a nearby quadracesimoseptimal (47-limit) interval.