Wadisma

Todo: research, add etymology

Interval information

Factorization	2-26 × 3-1 × 5 × 79
Monzo	[-26 -1 1 9⟩
Size in cents	3.791871¢
Name	Wadisma
FJS name	[math]\displaystyle{ \text{dd4}^{5,7,7,7,7,7,7,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	55.1731
Weil norm (log2 max(n, d))	55.1762
Wilson norm (sopfr(nd))	123
Comma size	small
Open this interval in xen-calc

The wadisma is a comma of about 3.792 cents, the amount by which 10/3 exceeds a stack of nine 8/7s. It has the monzo [-26 -1 1 9⟩ and the ratio 201768035/201326592. This comma is closely related to mothra temperament, as three 8/7s in mothra reach a meantone fifth, three of which are identified with 10/3. Therefore, the wadisma is tempered out in EDOs supporting mothra, such as 26, 31, and 36. However, there are other more accurate tuning systems tempering it out that do not make the equivalence of (8/7)³ to 3/2, and therefore do not temper out 81/80 nor 1029/1024, notable examples of which include 140edo, 171edo, and their sum, 311edo.

This comma was described and named some time prior to June 2011. It is unclear by whom.