Diasem: Difference between revisions

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== Important properties ==
== Important properties ==
# Any diasem scale has a fifth (major 5-step) between 4\9 (666.67¢) and 3\5 (720¢). The fifth is:
Any diasem scale has a fifth (major 5-step) between 4\9 (666.67¢) and 3\5 (720¢). The fifth is:
#* > 4\7 if L > m + s
* > 4\7 if L > m + s
#* = 4\7 if L = m + s
* = 4\7 if L = m + s
#* < 4\7 if L < m + s
* < 4\7 if L < m + s
# Let s' = m + s. Then the fifth generates the mos 5L 2s', which is either diatonic, 7edo or antidiatonic depending on the above conditions.
(This can be seen as follows: Let s' = m + s. Then the fifth generates the mos 5L 2s', which is either diatonic, 7edo or antidiatonic depending on the above conditions.)


== Modes ==
== Modes ==