User:Ganaram inukshuk/4L 3s: Difference between revisions

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4L 3s has the following temperament interpretations:

# With generator size between 5\18 (333.3c) and 11\39 (338.5c): [[Sixix]], corresponding to a step ratio between 3/2 and 6/5.

* With generator size between 5\18 (333.3c) and 11\39 (338.5c): [[Sixix]], corresponding to a step ratio between 3/2 and 6/5.

# With generator size between 4\15 (320.0c) and 3\11 (327.3c): [[Orgone]], corresponding to a step ratio between 3/1 and 2/1.

* With generator size between 4\15 (320.0c) and 3\11 (327.3c): [[Orgone]], corresponding to a step ratio between 3/1 and 2/1.

# With generator size between 5\19 (315.8c) and 4\15 (320.0c): [[Kleismic]], corresponding to a step ratio between 4/1 and 3/1.

* With generator size between 5\19 (315.8c) and 4\15 (320.0c): [[Kleismic]], corresponding to a step ratio between 4/1 and 3/1.

There are also other temperaments in the 4L 3s range, particularly [[amity]] and [[myna]], but 7 pitches are not enough to contain the concordant chords optimized by these temperaments; a [[MODMOS]] or a larger MOS gamut is necessary to access these pitches, if restricted to a rank-2 approach.

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 L 3s has the following temperament interpretations:
-# With generator size between 5\18 (333.3c) and 11\39 (338.5c): [[Sixix]], corresponding to a step ratio between 3/2 and 6/5.
+* With generator size between 5\18 (333.3c) and 11\39 (338.5c): [[Sixix]], corresponding to a step ratio between 3/2 and 6/5.
-# With generator size between 4\15 (320.0c) and 3\11 (327.3c): [[Orgone]], corresponding to a step ratio between 3/1 and 2/1.
+* With generator size between 4\15 (320.0c) and 3\11 (327.3c): [[Orgone]], corresponding to a step ratio between 3/1 and 2/1.
-# With generator size between 5\19 (315.8c) and 4\15 (320.0c): [[Kleismic]], corresponding to a step ratio between 4/1 and 3/1.
+* With generator size between 5\19 (315.8c) and 4\15 (320.0c): [[Kleismic]], corresponding to a step ratio between 4/1 and 3/1.
 There are also other temperaments in the 4L 3s range, particularly [[amity]] and [[myna]], but 7 pitches are not enough to contain the concordant chords optimized by these temperaments; a [[MODMOS]] or a larger MOS gamut is necessary to access these pitches, if restricted to a rank-2 approach.