Blackcomb: Difference between revisions
Jump to navigation
Jump to search
CompactStar (talk | contribs) No edit summary |
CompactStar (talk | contribs) No edit summary |
||
| Line 1: | Line 1: | ||
'''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 scale]]s of the form [[1L 3s (5/3-equivalent)|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)|6L 5s<5/3>]]. [[17ed5/3]] is an | '''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 scale]]s of the form [[1L 3s (5/3-equivalent)|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)|6L 5s<5/3>]]. [[17ed5/3]] is an excellent tuning for this temperament with the generator being close to the CTE generator. | ||
== Interval chain (CTE tuning) == | == Interval chain (CTE tuning) == | ||
Revision as of 00:03, 10 March 2023
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, and 6L 5s<5/3>. 17ed5/3 is an excellent tuning for this temperament with the generator being close to the CTE generator.
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.