Betarabian comma

Interval information

Ratio	264627/262144
Factorization	2-18 × 37 × 112
Monzo	[-18 7 0 0 2⟩
Size in cents	16.32089¢
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 (log2 nd)	36.0136
Weil height (log2 max(n, d))	36.0272
Wilson height (sopfr(nd))	79
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~3.1971 bits
Comma size	small
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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.