4L 5s: Difference between revisions
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{{Infobox MOS | {{Infobox MOS | ||
| Name = | | Name = gramitonic | ||
| Periods = 1 | | Periods = 1 | ||
| nLargeSteps = 4 | | nLargeSteps = 4 | ||
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'''4L 5s''' refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢). | '''4L 5s''' refers to the structure of [[MOS scales]] whose generator falls between 2\9 (two degrees of [[9edo|9edo]] = approx. 266.667¢) and 1\4 (one degree of [[4edo|4edo]] = 300¢). | ||
== Names == | == Names == | ||
The [[TAMNAMS]] name for this pattern is ''' | The [[TAMNAMS]] name for this pattern is '''gramitonic''' (from ''grave minor third''). | ||
== Notation == | == Notation == | ||
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== Intervals == | == Intervals == | ||
Note: In TAMNAMS, a k-step interval class in | Note: In TAMNAMS, a k-step interval class in 4L 5s may be called a "k-step", "k-mosstep", or "k-orstep". 1-indexed terms such as "mos(k+1)th" are discouraged for non-diatonic mosses. | ||
== Tuning ranges == | == Tuning ranges == | ||
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=== Parasoft === | === Parasoft === | ||
Parasoft tunings of | Parasoft tunings of 4L 5s have a step ratio between 4/3 and 3/2, implying a generator sharper than 7\31 = 270.97¢ and flatter than 5\22 = 272.73¢. | ||
In parasoft | In parasoft 4L 5s, the generator (major mosthird) is an approximate [[7/6]], the major mosfifth is an approximate but rather flat [[11/8]], the minor mosfourth is an approximate [[5/4]], and the major mossixth is an approximate [[3/2]]. | ||
Parasoft | Parasoft 4L 5s EDOs include [[22edo]], [[31edo]], [[53edo]], and [[84edo]]. | ||
* [[22edo]] can be used to make large and small steps more distinct (the step ratio is 3/2). | * [[22edo]] can be used to make large and small steps more distinct (the step ratio is 3/2). | ||
* [[31edo]] can be used for its nearly pure [[5/4]]. | * [[31edo]] can be used for its nearly pure [[5/4]]. | ||
* [[53edo]] can be used for its nearly pure [[3/2]] and good [[5/4]]. | * [[53edo]] can be used for its nearly pure [[3/2]] and good [[5/4]]. | ||
The sizes of the generator, large step and small step of | The sizes of the generator, large step and small step of 4L 5s are as follows in various parasoft 4L 5s tunings. | ||
{| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7" | {| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7" | ||
|- | |- | ||
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[[Category:MOS Scales]] | [[Category:MOS Scales]] | ||
[[Category:9-tone scales]] | [[Category:9-tone scales]] | ||
[[Category: | [[Category:Gramitonic]] <!-- main article --> |