User:Zeta Function/Half-cubic limit: Difference between revisions

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The half-cubic limit for a prime limit is defined to be the set of all intervals within a certain prime limit whose numerators and denominators both cannot contain more than two non-2 prime factors (including multiplicity), where all intervals are octave-reduced. In this way, it is analogous to the reduced 1-cubic limit but is significantly more restricted, which explains the reason for its naming as the half-cubic limit.  
The half-cubic limit for a prime limit is defined to be the set of all intervals within a certain prime limit whose numerators and denominators both cannot contain more than two non-2 prime factors (including multiplicity), where all intervals are octave-reduced. In this way, it is analogous to the reduced 2-cubic limit but is significantly more restricted, which explains the reason for its naming as the half-cubic limit.  


Here is the set of all intervals in the 3-half-cubic limit.
Here is the set of all intervals in the 3-half-cubic limit.