70/69
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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 (log_{2} nd) | 12.2378 |
Weil height (log_{2} 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 |
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.