24576/24565: Difference between revisions
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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]]. | '''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]]. | It can be factored into [[4096/4095]] × [[4914/4913]]. | ||
Revision as of 17:09, 24 May 2022
| Interval information |
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 ] ⟩