48/47

Revision as of 18:10, 28 November 2024 by FloraC (talk | contribs) (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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Interval information

Ratio

48/47

2.3.47 [4 1 -1⟩

Size in cents

36.44838¢

Name(s)

missing^?

[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

Open this interval in xen-calc

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 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.

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