5L 4s: Difference between revisions

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The sizes of the generator, large step and small step of 5L 4s are as follows in various hypohard ({{nowrap|2/1 ≤ L/s ≤ 3/1}}) tunings.
The sizes of the generator, large step and small step of 5L 4s are as follows in various hypohard ({{nowrap|2/1 ≤ L/s ≤ 3/1}}) tunings.
{| class="wikitable right-2 right-3 right-4 right-5 right-6"
{| class="wikitable right-2 right-3 right-4 right-5 right-6"
!  
!  
! [[14edo]] ({{nowrap|L/s {{=}} 2/1}})
! [[14edo]] ({{nowrap|L/s {{=}} 2/1}})
! [[47edo]] ({{nowrap|L/s {{=}} 7/3}})
! [[47edo]] ({{nowrap|L/s {{=}} 7/3}})
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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). Parahard semiquartal can be given an RTT interpretation known as [[godzilla]].
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). Parahard semiquartal can be given an RTT interpretation known as [[godzilla]].


The sizes of the generator, large step and small step of 5L 4s are as follows in various hypohard (2/1 L/s 3/1) tunings.
The sizes of the generator, large step and small step of 5L 4s are as follows in various hypohard ({{nowrap|2/1 ≤ L/s ≤ 3/1}}) tunings.
{| class="wikitable right-2 right-3 right-4 right-5"
{| class="wikitable right-2 right-3 right-4 right-5"
|-
|-
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* [http://www.youtube.com/watch?v=Gcgawrr2xao ''Desert Island Rain;''] – Semaphore[9] in [[313edo]] using 65\313 as the generator
* [http://www.youtube.com/watch?v=Gcgawrr2xao ''Desert Island Rain;''] – Semaphore[9] in [[313edo]] using 65\313 as the generator


[[Category:Semiquartal| ]] <!-- main article -->
[[Category:Semiquartal| ]] <!-- Main article -->