1024/1023

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. It is a Mersenne comma.

Interval information

Ratio	1024/1023
Subgroup monzo	2.3.11.31 [10 -1 -1 -1⟩
Size in cents	1.691484¢
Name	kilobyte comma
Color name	31u1u2, thiwulu 2nd, Thiwulu comma
FJS name	[math]\displaystyle{ \text{m2}_{11,31} }[/math]
Special properties	square superparticular, reduced, reduced subharmonic
Tenney norm (log2 nd)	19.9986
Weil norm (log2 max(n, d))	20
Wilson norm (sopfr(nd))	65
Comma size	unnoticeable
S-expression	S32
Open this interval in xen-calc

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

• Unnoticeable comma
• List of superparticular intervals
• Megabyte comma (1048576/1048575)