Mebisma
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Ratio
1048576/1048575
Subgroup monzo
2.3.5.11.31.41 [20 -1 -2 -1 -1 -1⟩
Size in cents
0.001651034¢
Name
mebisma
Color name
s41u31u1ugg3, safowuthiwulugugu 3rd,
Safowuthiwulugugu comma
FJS name
[math]\text{dd3}_{5,5,11,31,41}[/math]
Special properties
square superparticular,
reduced,
reduced subharmonic
Tenney height (log2 nd)
40
Weil height (log2 max(n, d))
40
Wilson height (sopfr(nd))
136
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.19982 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
Safowuthiwulugugu comma
reduced,
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
1048576/1048575, the mebisma is a 41-limit superparticular comma of about 0.00165 cents. It is the amount by which a stack consisting of 16/15, 32/31 and 64/55 exceeds 41/32. This comma is notably tempered by 311edo, an excellent 41-limit temperament.
Etymology
The word megabyte for this comma was suggested by Xenllium in 2023 to refer to the numerator 1048576 (220) but it was changed due to it having nothing to do with bytes or with the kilobyte comma to the "mebisma" based on "mebi-" being the SI prefix for 220 = 10242 and being a shorter name.