unequaltemperament

knot

Degrees: 24  •  Period: 1200.00 cents  •  Source: Scala
File comments
! knot.scl ! ! Smallest knot in cubic lattice, American Scientist, Nov-Dec '97 p. 506-510, trefoil knot of 24 units long
Playback
Select a tone, then click Begin. Use Arrow keys to step; Space stops. You can also use 1-0, qwertyuiop, asdfghjkl, zxcvbnm.
Overview (non-12°)
Degrees (now extended to 2 octaves)
# Raw Type Ratio Cents
1 525/512 ratio 525/512 43.41
2 15/14 ratio 15/14 119.44
3 35/32 ratio 35/32 155.14
4 9/8 ratio 9/8 203.91
5 8/7 ratio 8/7 231.17
6 75/64 ratio 75/64 274.58
7 5/4 ratio 5/4 386.31
8 4/3 ratio 4/3 498.04
9 175/128 ratio 175/128 541.45
10 7/5 ratio 7/5 582.51
11 45/32 ratio 45/32 590.22
12 35/24 ratio 35/24 653.18
13 3/2 ratio 3/2 701.96
14 25/16 ratio 25/16 772.63
15 8/5 ratio 8/5 813.69
16 105/64 ratio 105/64 857.09
17 5/3 ratio 5/3 884.36
18 12/7 ratio 12/7 933.13
19 7/4 ratio 7/4 968.83
20 225/128 ratio 225/128 976.54
21 175/96 ratio 175/96 1039.50
22 64/35 ratio 64/35 1044.86
23 15/8 ratio 15/8 1088.27
24 2/1 ratio 2/1 1200.00
25 2nd octave 1243.41
26 2nd octave 1319.44
27 2nd octave 1355.14
28 2nd octave 1403.91
29 2nd octave 1431.17
30 2nd octave 1474.58
31 2nd octave 1586.31
32 2nd octave 1698.04
33 2nd octave 1741.45
34 2nd octave 1782.51
35 2nd octave 1790.22
36 2nd octave 1853.18
37 2nd octave 1901.96
38 2nd octave 1972.63
39 2nd octave 2013.69
40 2nd octave 2057.09
41 2nd octave 2084.36
42 2nd octave 2133.13
43 2nd octave 2168.83
44 2nd octave 2176.54
45 2nd octave 2239.50
46 2nd octave 2244.86
47 2nd octave 2288.27
48 2nd octave 2400.00