User:Zeta Function/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, 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 monzos of such intervals must take the form where one prime factor can have up to a maximum of 2, the other prime factor can have up to a maximum of -2, and all other non-2 primes are 0s.

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

Interval	Threes	Twos
1/1	0	0
3/2	1	-1
4/3	-1	2
9/8	2	-3
16/9	-2	4

Here is the set of all intervals in the 5-half-cubic limit.

Interval	Fives	Threes	Twos
1/1	0	0	0
3/2	0	1	-1
4/3	0	-1	2
5/4	1	0	-2
8/5	-1	0	3
5/3	1	-1	0
6/5	-1	1	1
9/8	0	2	-3
16/9	0	-2	4
9/5	-1	2	0
10/9	1	-2	1
15/8	1	1	-3
16/15	-1	-1	4
25/16	2	0	-4
32/25	-2	0	5
25/24	2	-1	-3
48/25	-2	1	4
25/18	2	-2	-1
36/25	-2	2	2