1025/1024
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 (log_{2} nd) | 20.0014 |
Weil height (log_{2} 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 2^{10} or 1024 bytes (there is a competing definition which uses it as 1000 bytes, but the corresponding comma 1001/1000 already has several names).