Elf: Difference between revisions
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# Order the remaining JI intervals by increasing temperamental complexity, breaking ties by increasing Benedetti complexity. | # 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 {{nowrap|1 ≤ ''i'' ≤ ''n''}}, set the ''i''th degree of the scale to be the least (according to the ordering in step 3) interval ''c'' in the listing such that {{nowrap|''V''(''c'') {{=}} ''i''}}; which is to say, the interval of least temperamental complexity with ties broken by Benedetti height. | # Construct a detempering of ''n''-edo as follows: For each integer value {{nowrap|1 ≤ ''i'' ≤ ''n''}}, set the ''i''th degree of the scale to be the least (according to the ordering in step 3) interval ''c'' in the listing such that {{nowrap|''V''(''c'') {{=}} ''i''}}; which is to say, the interval of least temperamental complexity with ties broken by Benedetti height. | ||
# Temper this detempering of ''n''-edo using a [[tuning map]] for the temperament. | # Temper this detempering of ''n''-edo using a [[tuning map]] for the temperament. The result is an elf. | ||
The result is an elf. | |||
== Rank two examples == | == Rank two examples == | ||