1024/1023
(Redirected from Kilobyte comma)
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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 (log_{2} nd) | 19.9986 |
Weil height (log_{2} 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 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 (2^{10}) 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 2^{10}.
See also
- Unnoticeable comma
- List of superparticular intervals
- Mebisma (1048576/1048575)