24576/24565

Revision as of 16:49, 4 January 2022 by Eliora (talk | contribs) (Created page with "{{Infobox Interval | Ratio = 24576/24565 | Monzo = 13, 1, -1, 0, 0, 0, -3 | Cents = 0.77505 | Name = mavka comma | Color name = trisu-agu negative 2nd | FJS name = d-2<sub>5,1...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

24576/24565, the mavka comma, is an unnoticeable 17-limit interval that represents the difference between two adjacent square superparticulars - 289/288 and 256/255. By extension, tempering it out also makes a chain of 18/17 - 17/16 - 16/15 into equidistant intervals.

Interval information
Ratio 24576/24565
Factorization 213 × 3 × 5-1 × 17-3
Monzo [13 1 -1 0 0 0 -3
Size in cents 0.7750585¢
Name mavka comma
Color name trisu-agu negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}_{5,17,17,17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 29.1693
Weil norm (log2 max(n, d)) 29.1699
Wilson norm (sopfr(nd)) 85
Open this interval in xen-calc

Theory

By tempering it out, the rank 6 mavka temperament is defined.

Mapping:

[ ⟨ 1 0 1 0 0 0 4 ]

⟨ 0 1 1 0 0 0 0 ]

⟨ 0 0 3 0 0 0 -1 ]

⟨ 0 0 0 1 0 0 0 ]

⟨ 0 0 0 0 1 0 0 ]

⟨ 0 0 0 0 0 1 0 ] ⟩

Vals: 581, 764, 742, 422, 183, 400, 935, 354, 1506, 217.