Topic: Two 27-note no-threes Fokker blocks

1 scales

Thread (1 messages)

From: Gene Ward Smith (2005-10-02)
Subject: Two 27-note no-threes Fokker blocks

Here are the two blocks with the greatest number of (breed tempered)
ontonal tetrads resulting from 40353607/4000000 and 40960000/40353607.
The commas are breed-equivalent to 126/125 and 64/63 respectively, and
the whole matter could be approached via blocks using 126/125, 64/63,
and 2401/2400. However, omitting threes makes things easier to
analzye, and we can do it up to breed equivalence.

The two scales below have 11 otonal and 10 utonal tetrads, which is
good for a 7-limit effectively JI scale of this size.

! breeza.scl
A 40353607/40000000 & 40960000/40353607 Fokker block with 11 otonal
and 10 utonal tetrads
27
!
50/49
16807/16000
128000/117649
6400000/5764801
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2

! breezb.scl
Alternative block to breeza 40353607/40000000 & 40960000/40353607
27
!
50/49
16807/16000
128000/117649
28/25
8/7
400/343
2401/2000
49/40
5/4
64/49
3200/2401
160000/117649
7/5
10/7
117649/80000
2401/1600
1280000/823543
8/5
80/49
4000/2401
343/200
7/4
5764801/3200000
640/343
32000/16807
49/25
2