43/42
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Ratio
43/42
Subgroup monzo
2.3.7.43 [-1 -1 -1 1⟩
Size in cents
40.7368¢
Name(s)
missing ?
FJS name
[math]\text{P1}^{43}_{7}[/math]
Special properties
superparticular,
reduced
Tenney height (log2 nd)
10.8186
Weil height (log2 max(n, d))
10.8525
Wilson height (sopfr(nd))
55
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.51785 bits
Comma size
medium
Open this interval in xen-calc
| Interval information |
reduced
(Shannon, [math]\sqrt{nd}[/math])
43/42 is a 43-limit (2.3.7.43 subgroup) interval of about 41 cents.
Treating this interval as a comma to be tempered in the 2.3.7.43 subgroup results in the rank-3 43:42 temperament (according to x31eq.com). The mapping matrix is: [(1 0 0 1] (0 1 0 1] (0 0 1 1]). The generators are ~2=1200.998, ~3=703.463, ~7=974.692, ~43=477.156 in TE tuning.