1025/1024

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Interval information
Ratio 1025/1024
Subgroup monzo 2.5.41 [-10 2 1
Size in cents 1.6898333¢
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
open this interval in xen-calc

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