4096/4095
| Ratio | 4096/4095 |
| Monzo | [12 -2 -1 -1 0 -1⟩ |
| Size in cents | 0.42272 |
| Name(s) | schismina |
| Color name | sathurugu comma |
| FJS name | P15,7,13 |
| open this interval in xen-calc | |
4096/4095, the schismina, is a 13-limit superparticular ratio of about 0.42 cents. It is the difference between the septimal comma (64/63) and the wilsorma (65/64), and between the septimal quartertone (36/35) and the tridecimal quartertone (1053/1024).
The name lends itself to the general interval size measure knowns as the mina. In Sagittal notation, 4096/4095 is the default comma represented by a mina or three tinas.
Temperaments
By tempering it out is defined the schisminic temperament, which enables the schisminic chords, the essentially tempered chords in the 21-odd-limit. You may find a list of good equal temperaments that support this temperament below.
Subgroup: 2.3.5.7.11.13
Mapping:
[⟨1 0 0 0 0 12],
⟨0 1 0 0 0 -2],
⟨0 0 1 0 0 -1],
⟨0 0 0 1 0 -1],
⟨0 0 0 0 1 0]]
Mapping generators: ~2, ~3, ~5, ~7, ~11
Optimal GPV sequence: 22, 31, 41, 46, 53, 77, 84, 87, 118, 130, 183, 217, 224, 270, 494, 764, 935, 1012, 1236, 1506, 3236, 3323, 3817, 5323f, 9140cdef, 14463bcddeefff, 17786bccddeeefff