User:Inthar/18edo: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
 
(5 intermediate revisions by 2 users not shown)
Line 42: Line 42:
=== Modulation ===
=== Modulation ===
Some important modulatory intervals in 18edo:
Some important modulatory intervals in 18edo:
5ths and 4ths
5ths and 4ths
* sup5, sub5, sup4, sub4
* sup5 / sub4, sub5 / sup4
3rds and 6ths
3rds and 6ths
* maj3, supmin3, submin3
* maj3 / min6, supmin3 / submaj6, submin3 / supmaj6
* min3, submaj6, supmaj6
2nds
2nds
* maj2 (maj2 = sup5 + sub5)
* maj2 / min7 (maj2 = sup5 + sub5 = 3*sub4 = 3*submaj6) -- these are familiar
Dissonances
Dissonances
* supmin2, submin2, supmaj7, submaj7, tritone are the most dissonant modulations
* supmin2 / submaj7, submin2 / supmaj7, tritone


Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.
Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.


sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles
sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles
[[Category:18edo]]