Elf: Difference between revisions

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To construct an elf, the following steps are used:

# Take all intervals in the JI group of the temperament which lie within an octave.

# For each interval of a temperament, keep only the least complex (in terms of [[Benedetti height]]) JI interpretation of that interval.

# For each interval of the temperament, keep only the least complex (in terms of [[Benedetti height]]) JI interpretation of that interval.

# Order the remaining JI intervals by increasing temperamental complexity, breaking ties by increasing Benedetti complexity.

# Construct a detempering of n-edo as follows: For each integer value 1 ≤ i ≤ n = V(2) = scale size, set the ith degree of the scale to be the least (according to the ordering in step 3) interval c in the listing such that V(c) = i; which is to say, the interval of least temperamental complexity with ties broken by Benedetti height.

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 To construct an elf, the following steps are used:
 # Take all intervals in the JI group of the temperament which lie within an octave.
-# For each interval of a temperament, keep only the least complex (in terms of [[Benedetti height]]) JI interpretation of that interval.
+# For each interval of the temperament, keep only the least complex (in terms of [[Benedetti height]]) JI interpretation of that interval.
 # Order the remaining JI intervals by increasing temperamental complexity, breaking ties by increasing Benedetti complexity.
 # Construct a detempering of n-edo as follows: For each integer value 1 ≤ i ≤ n = V(2) = scale size, set the ith degree of the scale to be the least (according to the ordering in step 3) interval c in the listing such that V(c) = i; which is to say, the interval of least temperamental complexity with ties broken by Benedetti height.