Petrtri
Petrtri is an oneirotonic-based temperament or harmonic framework, based on the oneirotonic MOS with period 1\1 and a generator chain with generator a subfourth between 21edo's 8\21 (457.14¢) and 13edo's 5\13 (461.54¢).
Notation
The notation used in this article is described in 5L 3s#Notation.
Temperament data
Intervals
Sortable table of intervals in the Dylathian mode and their Petrtri interpretations:
| Degree | Size in 13edo | Size in 21edo | Size in 34edo | Size in POTE tuning | Note name on Q | Approximate ratios | #Gens up |
|---|---|---|---|---|---|---|---|
| 1 | 0\13, 0.00 | 0\21, 0.00 | 0\34, 0.00 | 0.00 | Q | 1/1 | 0 |
| 2 | 2\13, 184.62 | 3\21, 171.43 | 5\34, 176.47 | 177.45 | J | 10/9, 11/10 | +3 |
| 3 | 4\13, 369.23 | 6\21, 342.86 | 10\34, 352.94 | 354.90 | K | 11/9, 16/13 | +6 |
| 4 | 5\13, 461.54 | 8\21, 457.14 | 13\34, 458.82 | 459.15 | L | 13/10, 17/13, 22/17 | +1 |
| 5 | 7\13, 646.15 | 11\21, 628.57 | 18\34, 635.294 | 636.60 | M | 13/9, 16/11, 23/16 (esp. 21edo) | +4 |
| 6 | 9\13, 830.77 | 14\21, 800.00 | 23\34, 811.77 | 814.05 | N | 8/5 | +7 |
| 7 | 10\13, 923.08 | 16\21, 914.29 | 26\34, 917.65 | 918.30 | O | 17/10 | +2 |
| 8 | 12\13, 1107.69 | 19\21, 1085.71 | 31\34, 1094.12 | 1095.75 | P | 17/9, 32/17, 15/8 | +5 |
Basic theory
Primodal theory
Primodal chords
Nejis
21nejis
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