43/42

Interval information

Ratio	43/42
Subgroup monzo	2.3.7.43 [-1 -1 -1 1⟩
Size in cents	40.7368¢
Name(s)	missing ?
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.51785 bits
Comma size	medium
Open this interval in xen-calc

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.