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