24576/24565: Difference between revisions
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m it is known why this equivalence occurs; added link to section on ultraparticulars for explanation; also made wording terser |
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'''24576/24565''', the '''mavka comma''', is an unnoticeable 17-limit comma that represents the difference between two adjacent square | '''24576/24565''', the '''mavka comma''', is an unnoticeable 17-limit comma that represents the difference between two adjacent [[square superparticular]]s – [[289/288]] and [[256/255]], [[Square superparticular#Sk/S(k + 1) (ultraparticulars)|therefore]], it is the amount by which a stack of three [[17/16]]'s fall short of a [[6/5]] minor third. It is also the amount by which a stack of two [[128/85]]'s 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 04:51, 12 August 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, therefore, it is the amount by which a stack of three 17/16's fall short of a 6/5 minor third. It is also the amount by which a stack of two 128/85's 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 ] ⟩