1025/1024

Interval information

Ratio	1025/1024
Subgroup monzo	2.5.41 [-10 2 1⟩
Size in cents	1.689833¢
Name	kilobytisma
Color name	fowoyoyo negative 2nd, 41oyy-2
FJS name	[math]\text{d}{-2}^{5,5,41}[/math]
Special properties	superparticular, reduced, reduced harmonic
Tenney height (log2 nd)	20.0014
Weil height (log2 max(n, d))	20.0028
Wilson height (sopfr(nd))	71
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.2249 bits
Comma size	unnoticeable
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1025/1024, the kilobytisma is a 41-limit (also 2.5.41 subgroup) superparticular unnoticeable comma of about 1.69 cents. It is the difference between 41/32 and 32/25, or 64/41 and 25/16.

Temperaments

Tempering out this comma in the full 41-limit results in the rank-12 kilobytismic temperament, or in the 2.5.41 subgroup, the rank-2 kilobytic temperament, generated by a very lightly tempered 5/4. Kilobytic is an incredibly efficient temperament on account of its low error combined with the very low complexity for the 5th and 41st harmonics (reached in +1 and -2 generators respectively).

Etymology

This comma was named by CompactStar in 2024. It refers to the kilobyte commonly being used as 2¹⁰ or 1024 bytes (there is a competing definition which uses it as 1000 bytes, but the corresponding comma 1001/1000 already has several names).

See also

• Small comma
• List of superparticular intervals