User:MisterShafXen/2.3.19 subgroup
Here is my take on the 2.3.19 JI subgroup.
Intervals
2/1, 1 0 0: Octave
3/2, -1 1 0: Perfect 5th
19/16, -4 0 1: Minor 3rd
19/12, -2 -1 1: Minor 6th, major tetratone
19/18, -1 -2 1: Semitone
361/324, -2 -4 2: Tone
16983563041/11019960576, -8 -16 8: Minor tetratone
918330048/893871739, 6 15 -7: Tetratone comma
Temperaments
Taking the tetratone comma as our comma to be tempered out, we get the following temperament:
12&23bhh
Equal Temperament Mappings
| 2 | 3 | 19 | ||
|---|---|---|---|---|
| [ ⟨ | 12 | 19 | 51 | ] |
| ⟨ | 23 | 37 | 99 | ] ⟩ |
Reduced Mapping
| 2 | 3 | 19 | ||
|---|---|---|---|---|
| [ ⟨ | 1 | 1 | 3 | ] |
| ⟨ | 0 | 7 | 15 | ] ⟩ |
TE Generator Tunings (cents)
⟨1199.8112, 100.1369]
TE Step Tunings (cents)
⟨96.47394, 1.83148]
TE Tuning Map (cents)
⟨1199.811, 1900.769, 5101.487]
TE Mistunings (cents)
⟨-0.189, -1.186, 3.974]