5L 4s: Difference between revisions

Line 23:

These tunings satisfy the property that two [[semifourth]] generators make a ''diatonic'' ([[5L 2s]]) fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢).

The sizes of the generator, large step and small step of 5L 4s are as follows in various ~~semaphore~~ tunings.

The sizes of the generator, large step and small step of 5L 4s are as follows in various hard-of-basic tunings.

{| class="wikitable right-2 right-3 right-4 right-5"

|-

Line 51:

|}

==== Parahard ====

One important sub-range ~~of semaphore~~ 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 can be considered the [[19edo]] (4\19)-to-[[24edo]] (5\24) range, i.e. parahard semiquartal, which also contains [[43edo]] (9\43) and [[62edo]] (13\62).

One important 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 can be considered the [[19edo]] (4\19)-to-[[24edo]] (5\24) range, i.e. parahard semiquartal, which also contains [[43edo]] (9\43) and [[62edo]] (13\62).

=== Soft-of-basic ===

@@ Line 23: / Line 23: @@
 These tunings satisfy the property that two [[semifourth]] generators make a ''diatonic'' ([[5L 2s]]) fourth, i.e. any tuning where the semifourth is between 1\5 (240¢) or 3\14 (257.14¢).
-The sizes of the generator, large step and small step of 5L 4s are as follows in various semaphore tunings.
+The sizes of the generator, large step and small step of 5L 4s are as follows in various hard-of-basic tunings.
 {| class="wikitable right-2 right-3 right-4 right-5"
 |-
@@ Line 51: / Line 51: @@
 |}
 ==== Parahard ====
-One important sub-range of semaphore 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 can be considered the [[19edo]] (4\19)-to-[[24edo]] (5\24) range, i.e. parahard semiquartal, which also contains [[43edo]] (9\43) and [[62edo]] (13\62).
+One important 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 can be considered the [[19edo]] (4\19)-to-[[24edo]] (5\24) range, i.e. parahard semiquartal, which also contains [[43edo]] (9\43) and [[62edo]] (13\62).
 === Soft-of-basic ===