1625/1624

Interval information

Ratio	1625/1624
Factorization	2-3 × 53 × 7-1 × 13 × 29-1
Monzo	[-3 0 3 -1 0 1 0 0 0 -1⟩
Size in cents	1.065703 ¢
Name	fantasia
Color name	29u3ory3M, twenuthorutriyoma
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,5,5,13}_{7,29} }[/math]
Special properties	superparticular, reduced
Tenney norm (log2 nd)	21.3316
Weil norm (log2 max(n, d))	21.3324
Wilson norm (sopfr(nd))	70
Comma size	unnoticeable
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1625/1624, the fantasia, is an unnoticeable 29-limit comma measuring about 1.06 cents.

In terms of other commas, it is the difference between a stack of 225/224 and 325/324, and 145/144 (the adeonisma), as well as the difference between 784/783 and 43904/43875. By nature of 43904/43875's equivalences, tempering 784/783 out alongside 2401/2400 and 4096/4095, 196/195 and 225/224, also tempers it out.

Temperaments

It is tempered out in the add-29 magic and miraculous extensions; in newt since 784/783 and 43904/43875 are both tempered out too; and in the 2.3.5.7.11.13.19.29 subgroup lowest-badness septischismic extension.

Etymology

This comma was named by Eufalesio in 2026.