1521/1520

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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 1.1385953¢
Names pinkanberry,
pinkan comma,
nuthothogu comma
Color name 19u3oog1, nuthothogu unison
FJS name [math]\text{d1}^{13,13}_{5,19}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 n⋅d) 21.1407
Weil height (max(n, d)) 1521
Benedetti height (n⋅d) 2311920
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.40304 bits
Comma size unnoticeable
S-expression S39
open this interval in xen-calc

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