Valentine scales
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Semi-equalized Armodue
One step of 16edo (75 cents) is nearly equal to two steps (2\31) of 31edo (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of valentine temperament. Similarly we might use three steps of 46edo, 3\46, 78.26 cents, or five steps of 77edo, 77.92 cents.
Semi-equalized Armodue provides a balance between the symmetry of the equalized system and the purity of natural intervals: intervals of semi-equalized Armodue are very pure, and at the same time it preserves the symmetry of the equalized system and its interval sizes almost unchanged.
| Armodue note | cents (16edo) | cents (semi-equalized Armodue based on 31edo) |
|---|---|---|
| 1 | 0 | 0 |
| 1# | 75 | 77.42 |
| 2 | 150 | 154.84 |
| 2# | 225 | 232.26 |
| 3 | 300 | 309.68 |
| 3# | 375 | 387.10 |
| 4 | 450 | 464.52 |
| 5 | 525 | 541.94 |
| 5# | 600 | 619.35 |
| 6 | 675 | 696.77 |
| 6# | 750 | 774.19 |
| 7 | 825 | 851.61 |
| 7# | 900 | 929.03 |
| 8 | 975 | 967.74 |
| 8# | 1050 | 1045.16 |
| 9 | 1125 | 1122.58 |