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Interval information
Ratio 70/69
Subgroup monzo [1 -1 1 1 -1
Size in cents 24.910272¢
Name small vicesimotertial 1/8-tone
Color name 23uzy1, twethuzoyo 1sn,
Twethuzoyo comma
FJS name [math]\text{m2}^{5,7}_{23}[/math]
Special properties superparticular,
Tenney height (log2 nd) 12.2378
Weil height (log2 max(n, d)) 12.2586
Wilson height (sopfr (nd)) 40
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.0942 bits
Comma size small
open this interval in xen-calc

70/69 is a superparticular interval of about 24.9¢ which makes the difference between 6/5 and 28/23 in 23-limit just intonation; it is also the difference between 7/6 and 23/20.


It is close to one step of 48edo, and the comma associating it with 1\48 is tempered out in notable high-prime-limit systems like 624edo and 4320edo.

See also