Betarabian comma
Ratio | 264627/262144 |
Factorization | 2^{-18} × 3^{7} × 11^{2} |
Monzo | [-18 7 0 0 2⟩ |
Size in cents | 16.320891¢ |
Name | Betarabian comma |
Color name | L1oo-2, Lalolo comma |
FJS name | [math]\text{m}{-2}^{11,11}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 36.0136 |
Weil height (log_{2} max(n, d)) | 36.0272 |
Wilson height (sopfr (nd)) | 79 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.34772 bits |
Comma size | small |
open this interval in xen-calc |
The Betarabian comma (monzo: [-18 7 0 0 2⟩, ratio: 264627/262144) is an 11-limit comma at about 16.3 ¢. It is the sum of the schisma and the biyatisma, as well as the sum of the Alpharabian comma and the rastma. Furthermore, it forms the difference between various pairs of enharmonic quartertone-based intervals in no-fives no-sevens just 11-limit tuning. The term "Betarabian" is a derivative of "Alpharabian", and was coined on account of both the rastma being a comma which separates primary and secondary 11-limit intervals and the term "Alpharabian" itself containing the word "Alpha" within it.
Temperaments
As the Betarabian comma is the sum of the Alpharabian comma and the rastma, it is automatically tempered out whenever the rastma is added to the list of commas tempered out among alphaxenic rank-3 clan; however, there are other temperaments that temper out just the Betarabian comma itself. When tempered out in the 11-limit, it is the betaxenic temperament, or in the 2.3.11 subgroup, the betaxenean temperament.