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¢
Name pinkanberry
Color name 19u3oog1, nuthothogu 1sn
FJS name [math]\text{d1}^{13,13}_{5,19}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 21.1407
Weil height (log2 max(n, d)) 21.1416
Wilson height (sopfr (nd)) 64
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.2112 bits
Comma size unnoticeable
S-expression S39
open this interval in xen-calc

1521/1520, the pinkanberry, is an unnoticeable 19-limit (also 2.3.5.13.19 subgroup) comma and 19-odd-limit essential tempering comma. It is the difference between 39/38 and 40/39, as well as other relations detailed in the next section.

Commatic relations

This comma is the difference between the following superparticular pairs:

It factors into the following superparticular pairs:

Temperaments

Tempering out this comma enables pinkanberry chords, and edos that support these include 24, 27, 53, 77, 80, 84, 104c, 111, 130, 137, 140, 164, 190, 217, 243, 270, 323, 407, 460, and 513.

Etymology

This comma is named for the fact that tempering out both 676/675 and 1216/1215 defines the pinkan temperament, making the tempering of 1521/1520 its most prominent "fruit".

See also