24576/24565

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
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24576/24565, the mavka comma, is an unnoticeable 17-limit comma that represents the difference between two adjacent square superparticulars – 289/288 and 256/255. In addition, it is the amount by which a stack of three instances of 17/16 falls short of a 6/5 minor third, and the amount by which a stack of two instances of 128/85 octave-reduced exceeds 17/15.

It can be factored into 4096/4095 × 4914/4913.

Temperaments

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

Subgroup: 2.3.5.7.11.13.17

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 ] ⟩

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