1024/1023

Interval information

Ratio	1024/1023
Subgroup monzo	2.3.11.31 [10 -1 -1 -1⟩
Size in cents	1.6914843¢
Name	kibisma
Color name	31u1u2, thiwulu 2nd, Thiwulu comma
FJS name	[math]\text{m2}_{11,31}[/math]
Special properties	square superparticular, reduced, reduced subharmonic
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
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1024/1023, the kibisma 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 kibismic temperament, which enables the kibismic chords. It is a Mersenne comma.

Etymology

The word kilobyte for this comma was suggested by Xenllium in 2023 to refer to 1024 (2¹⁰) bytes but it was changed due to it having nothing to do with the logical kilobyte comma of 1024/1000 = 128/125, and as a result has nothing to do with bytes either, so kibisma was preferred as kibi is the SI prefix for unambiguously referring to 2¹⁰.

See also

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