24576/24565: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 24576/24565
| Ratio = 24576/24565
| Monzo = 13, 1, -1, 0, 0, 0, -3
| Monzo = 13 1 -1 0 0 0 -3
| Cents = 0.77505
| Cents = 0.77505
| Name = mavka comma
| Name = mavka comma
Line 8: Line 8:
}}
}}


'''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.
'''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.


== Theory ==
== Temperaments ==
By tempering it out, the rank 6 mavka temperament is defined.
By tempering it out, the rank-6 '''mavka temperament''' is defined.
 
Subgroup: 2.3.5.7.11.13.17


Mapping:
Mapping:
Line 27: Line 29:
⟨ 0 0 0 0 0 1 0 ] ⟩
⟨ 0 0 0 0 0 1 0 ] ⟩


Vals: {{EDOs|581, 764, 742, 422, 183, 400, 935, 354, 1506, 217}}.
{{Val list|legend=1| 46, 58, 80, 103, 137, 149, 159, 171, 183, 217, 296, 320, 342f, 354, 400, 422, 525, 571, 581, 742, 764, 935, 1084, 1106, 1323, 1506, 3593g, 3947eg, 5053fgg, 6559defgg, 8065cdefggg, 10152cdeffgggg }}.


[[Category:Unnoticeable comma]]
[[Category:Unnoticeable comma]]
[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Mavka]]

Revision as of 14:11, 4 March 2022

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

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.

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 ] ⟩

Template:Val list.