1024/1023

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Interval information
Ratio 1024/1023
Subgroup monzo 2.3.11.31 [10 -1 -1 -1
Size in cents 1.6914843¢
Name kilobyte comma
Color name 31u1u2, thiwulu 2nd,
Thiwulu comma
FJS name [math]\text{m2}_{11,31}[/math]
Special properties square superparticular,
reduced
Tenney height (log2 nd) 19.9986
Weil height (log2 max(n, d)) 20
Wilson height (sopfr (nd)) 65
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.22495 bits
Comma size unnoticeable
S-expression S32
open this interval in xen-calc

1024/1023, the kilobyte comma is a 31-limit superparticular comma of about 1.69 cents. It forms the difference between 32/31 and 33/32. By tempering it out is defined the kilobyte temperament, which enables the kilobyte chords.

Etymology

The word kilobyte for this comma was introduced by Xenllium in 2023. It often refers to 1024 (210) bytes instead of 1000, arising from the prevalence of sizes that are powers of two in modern digital memory architectures.

See also