5L 4s: Difference between revisions

Line 645:

== Tuning ranges and data ==

=== Semaphore ===

We can view semaphore as any 5L 4s tuning where two [[semifourth]] generators make a ''diatonic'' fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢). One important tuning sub-range is given by stipulating that two semifourth generators must make a ''meantone'' fourth; i.e. that [[81/80]] ~~be tempered out~~. This results in [[godzilla]] temperament, which is supported by [[19edo]] and [[24edo]].

We can view semaphore as any 5L 4s tuning where two [[semifourth]] generators make a ''diatonic'' fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢). One important tuning sub-range is given by stipulating that two semifourth generators must make a ''meantone'' fourth; i.e. that four fifths should approximate a [[5/4]] major third. This results in [[godzilla]] temperament, which is supported by [[19edo]] and [[24edo]].

=== Bug ===

For convenience' sake, we can view [[bug]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' or [[mavila]] fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a bug generator.

@@ Line 645: / Line 645: @@
 == Tuning ranges and data ==
 === Semaphore ===
-We can view semaphore as any 5L 4s tuning where two [[semifourth]] generators make a ''diatonic'' fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢). One important tuning sub-range is given by stipulating that two semifourth generators must make a ''meantone'' fourth; i.e. that [[81/80]] be tempered out. This results in [[godzilla]] temperament, which is supported by [[19edo]] and [[24edo]].
+We can view semaphore as any 5L 4s tuning where two [[semifourth]] generators make a ''diatonic'' fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢). One important tuning sub-range is given by stipulating that two semifourth generators must make a ''meantone'' fourth; i.e. that four fifths should approximate a [[5/4]] major third. This results in [[godzilla]] temperament, which is supported by [[19edo]] and [[24edo]].
 === Bug ===
 For convenience' sake, we can view [[bug]] as any 5L 4s tuning where two [[semifourth]] generators make a ''superdiatonic'' or [[mavila]] fourth, i.e. any tuning where the semifourth is between 3\14 (257.14¢) and 2\9 (266.67¢). [[23edo]]'s 5\23 (260.87¢) is an example of a bug generator.