5L 4s: Difference between revisions
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== Tuning ranges == | == Tuning ranges == | ||
=== Semaphore === | === Semaphore === | ||
We view [[semaphore]] as any 5L 4s tuning where 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¢). 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 is | We view [[semaphore]] as any 5L 4s tuning where 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¢). 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 is usually considered the [[19edo]] (4\19)-to-[[24edo]] (5\24) range, which also contains [[43edo]] (9\43) and [[62edo]] (13\62). | ||
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 semaphore tunings. | ||