The tetrameantone temperament is a nonoctave meantone temperament, tempering out the 81/80 in the 4.3.5 subgroup and repeating at the double octave 4/1. It is generated by 4/3 and, like in normal meantone temperament, 4 of them make a 8/5 plus an octave.
Interval chain
| Generators
|
Cents (POTE)
|
Approximate ratios
|
| -7
|
1273.671
|
25/12
|
| -6
|
1777.432
|
45/16
|
| -5
|
2281.193
|
15/4
|
| -4
|
384.955
|
5/4
|
| -3
|
888.716
|
5/3
|
| -2
|
1392.477
|
9/4, 20/9
|
| -1
|
1896.239
|
3/1
|
| 0
|
0.000
|
1/1
|
| 1
|
503.761
|
4/3
|
| 2
|
1007.523
|
16/9, 9/5
|
| 3
|
1511.284
|
12/5
|
| 4
|
2015.045
|
16/5
|
| 5
|
118.807
|
16/15
|
| 6
|
622.568
|
64/45
|
| 7
|
1126.329
|
48/25
|
Tetrameantone on tritave
Tritave-repeating tetrameantone (3.4.5 subgroup) is made by cutting off the 4/3 interval range of the tetratave scale. extension will start at 3.4.5.14 subgroup. If we want strict no-twos subgroup, will be 3.5.13.
| Generators
|
Cents (15edt)
|
Approximate ratios 3.4.5.14
|
3.5.13
|
| -7
|
253.594
|
7/6
|
15/13
|
| -6
|
760.782
|
25/16, 63/40, 14/9
|
125/81
|
| -5
|
1267.970
|
25/12, 21/10
|
27/13
|
| -4
|
1775.158
|
45/16, 14/5
|
25/9
|
| -3
|
380.391
|
5/4
|
81/65
|
| -2
|
887.579
|
27/16, 5/3
|
5/3
|
| -1
|
1394.767
|
9/4, 20/9
|
729/325
|
| 0
|
0.000
|
1/1
|
1/1
|
| 1
|
507.188
|
4/3, 27/20
|
325/243
|
| 2
|
1014.376
|
16/9, 9/5
|
9/5
|
| 3
|
1521.564
|
12/5
|
65/27
|
| 4
|
126.797
|
16/15, 15/14
|
27/25
|
| 5
|
633.985
|
36/25, 10/7
|
13/9
|
| 6
|
1141.173
|
48/25, 40/21, 27/14
|
243/125
|
| 7
|
1648.361
|
18/7
|
13/5
|