4225/4224

Interval information

Ratio

4225/4224

Factorization

2^-7 × 3^-1 × 5² × 11^-1 × 13²

Monzo

[-7 -1 2 0 -1 2⟩

Size in cents

0.409808¢

Name

leprechaun comma

FJS name

[math]\displaystyle{ \text{P1}^{5,5,13,13}_{11} }[/math]

Special properties

square superparticular,
reduced

Tenney height (log₂ nd)

24.0891

Weil height (log₂ max(n, d))

24.0895

Wilson height (sopfr(nd))

64

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4225/4224, the leprechaun comma, is an unnoticeable 13-limit superparticular interval. It is the difference between the following pairs:

Temperaments

Tempering it out in the full 13-limit leads to the rank-5 leprechaun temperament. It is also tempered out in lower-rank temperaments including abigail, newt, decoid, donar, etc.

4225/4224

Temperaments

See also