Molar comma

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Interval information

Ratio	704969/704000
Subgroup monzo	2.5.11.89 [-9 -3 -1 3⟩
Size in cents	2.381268¢
Name	Molar comma
Color name	89o31ug31
FJS name	[math]\text{A1}^{89,89,89}_{5,5,5,11}[/math]
Special properties	reduced
Tenney height (log2 nd)	38.8524
Weil height (log2 max(n, d))	38.8544
Wilson height (sopfr(nd))	311
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.2519 bits
Comma size	unnoticeable
open this interval in xen-calc

704969/704000, a.k.a. the molar comma, is tempered out by the Teefs temperament.

Tempering this comma on its own gives the molar temperament, a rank-3, 2.5.11.89 subgroup tuning.

Molar

rank            3
subgroup	2.5.11.89
comma basis	[ -9 -3 -1 3] (704969/704000)
edo join	6 & 59 & 13

edos	        6, 59, 65, 7, 13, 19, 
                5[+11, +89], 53, 52, 
                46, 66, 8[-5, -11, -89], 
                20[-89], 25[+11], 40

mapping

1 2 3 6
0 1 0 1
0 0 3 1

preimage	2, 5/4, 89/80
WE tuning	1200.000, 386.305, 183.750
CWE tuning	1200.000, 386.342, 183.767
WE errors	0.041, 0.074, 0.055, -0.577
CWE errors	0.000, 0.028, -0.018, -0.771
badness	        0.225