Blackcomb: Difference between revisions

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'''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, [[5L 1s (5/3-equivalent)|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not extremely close to an EDO.
#redirect [[porcupine]]
 
== Interval chain (CTE tuning) ==
{|class="wikitable"
|-
!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
 
[[Comma list]]: [[250/243]]
 
[[Mapping]]: [⟨1 3 4], ⟨0 -2 -2]]
 
[[Constrained tuning|CTE generator]]: ~3/2 = 728.763