70/69
Jump to navigation
Jump to search
Ratio
70/69
Subgroup monzo
2.3.5.7.23 [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,
reduced
Tenney height (log2 nd)
12.2378
Weil height (log2 max(n, d))
12.2586
Wilson height (sopfr(nd))
40
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.23388 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Twethuzoyo comma
reduced
(Shannon, [math]\sqrt{nd}[/math])
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.
Temperaments
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.