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
Open this interval in xen-calc

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

• 65/64 and 66/65
• 169/168 and 176/175
• 325/324 and 352/351
• 2080/2079 and 4096/4095
• 3025/3024 and 10648/10647

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.

See also

• List of superparticular intervals
• Unnoticeable comma