1521/1520

Interval information

Ratio	1521/1520
Factorization	2-4 × 32 × 5-1 × 132 × 19-1
Monzo	[-4 2 -1 0 0 2 0 -1⟩
Size in cents	1.138595¢
Names	pinkanberry, pinkan comma, nuthothogu comma
Color name	19u3oog1, nuthothogu unison
FJS name	[math]\displaystyle{ \text{d1}^{13,13}_{5,19} }[/math]
Special properties	square superparticular, reduced
Tenney norm (log2 nd)	21.1407
Weil norm (log2 max(n, d))	21.1416
Wilson norm (sopfr(nd))	64
Comma size	unnoticeable
S-expression	S39
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1521/1520, the pinkanberry, is a 19-limit unnoticeable comma and essential tempering comma, specifically of the 2.3.5.13.19 subgroup. Among other things, it is the difference between 20/19 and a stack of two 40/39s, as well as the difference between two other essential tempering commas, 676/675 and 1216/1215.

It is named for the fact that the latter two commas define pinkan temperament, making the tempering of 1521/1520 its most prominent "fruit". Tempering it out enables the pinkanberry chords, and EDOs that support these include 24, 27, 53, 77, 84, 111, 130, 137, 164, 190, 217, 243, 270, 323, 407, 460, and 513.

See also

• Unnoticeable comma
• List of superparticular intervals