Mebisma

Interval information

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
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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.

See also

• Unnoticeable comma
• List of superparticular intervals
• Kibisma (1024/1023)