Molar comma

From Xenharmonic Wiki
Jump to navigation Jump to search
This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex, or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations, or conceptual frameworks.

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 2.5.11.89 subgroup tuning.

Interval information
Ratio 704969/704000
Subgroup monzo 2.5.11.89 [-9 -3 -1 3
Size in cents 2.3812675¢
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