Blackcomb
Blackcomb is a 5/3-repeating regular temperament that tempers out 250/243 in the 5-limit, the amount by which three 3/2's exceed 5/4. This implies a generator of a Blackwood-like sharp fifth which is quite "dirty" but still recognizable. It possesses MOS scales of the form 1L 3s<5/3>, 1L 4s<5/3>, making it an antidiatonic tuning, 5L 1s<5/3>, and 6L 5s<5/3>. 16ed5/3 is one of the best tunings for this temperament that is not extremely close to an EDO.
Interval chain (CTE tuning)
| Generators up | Cents |
|---|---|
| 0 | 0.0 |
| 1 | 728.8 |
| 2 | 573.2 |
| 3 | 417.6 |
| 4 | 262.0 |
| 5 | 106.4 |
| 6 | 835.2 |
| 7 | 679.6 |
| 8 | 524.0 |
| 9 | 368.4 |
| 10 | 212.8 |
Chords
Blackcomb is structured on 4:5:6 triads like octave-repeating meantone temperament. However, because Blackcomb is a much less accurate temperament, the major third and perfect fifth are usually tuned very sharp, with the major third often being closer to 9/7 than 5/4.
Temperament data
Subgroup: 5/3.2.3
Mapping: [⟨1 4 5], ⟨0 -2 -2]]
CTE generator: ~3/2 = 728.763