1521/1520
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Ratio | 1521/1520 |
Factorization | 2^{-4} × 3^{2} × 5^{-1} × 13^{2} × 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 1sn |
FJS name | [math]\text{d1}^{13,13}_{5,19}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 21.1407 |
Weil height (log_{2} max(n, d)) | 21.1416 |
Wilson height (sopfr (nd)) | 64 |
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.