| Prime factorization
|
22 × 5
|
| Step size
|
68.2502¢
|
| Octave
|
18\20ed11/5 (1228.5¢) (→9\10ed11/5)
|
| Twelfth
|
28\20ed11/5 (1911.01¢) (→7\5ed11/5)
|
| Consistency limit
|
3
|
| Distinct consistency limit
|
2
|
20ed11/5 is the equal division of the neutral ninth into 20 parts of 68.3 cents each.
Temperaments
20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports catfish temperament, which can be viewed as the no-twos-or-threes-analog of meantone. However, its 13/11 approximation is quite flat (closer to a subminor third) which affects the quality of the 11:13:17 chord, one of the most consonant no-twos-or-threes chords.
Intervals
| #
|
Cents
|
Approximate ratios
|
Catfish nonatonic notation (J = 1/1)
|
| 0
|
0.0
|
1/1
|
J
|
| 1
|
68.3
|
28/27, 27/26, 26/25, 25/24
|
J#, Kb
|
| 2
|
136.5
|
14/13, 27/25, 13/12
|
K
|
| 3
|
204.8
|
9/8
|
K#, Lb
|
| 4
|
273.0
|
7/6, 75/64
|
L
|
| 5
|
341.3
|
17/14, 39/32, 11/9
|
L#, Mb
|
| 6
|
409.5
|
14/11,81/64, 19/15
|
M
|
| 7
|
477.8
|
21/16, 33/25
|
M#, Nb
|
| 8
|
546.0
|
11/8, 15/11, 48/35
|
N
|
| 9
|
614.3
|
10/7, 121/85
|
N#
|
| 10
|
682.5
|
3/2, 40/27
|
Ob
|
| 11
|
750.1
|
17/11, 49/32
|
O
|
| 12
|
819.0
|
8/5, 21/13
|
O#, Pb
|
| 13
|
887.3
|
5/3, 38/23
|
P
|
| 14
|
955.5
|
7/4, 26/15
|
P#, Qb
|
| 15
|
1023.8
|
9/5, 29/16, 20/11
|
Q
|
| 16
|
1092.0
|
15/8, 32/17
|
Q#, Rb
|
| 17
|
1160.3
|
49/25, 35/18
|
R
|
| 18
|
1228.5
|
2/1
|
R#
|
| 19
|
1296.8
|
15/7
|
Jb
|
| 20
|
1365.0
|
11/5
|
J
|