4L 5s: Difference between revisions

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{{Infobox MOS

| Name = ~~gramitonic~~

| Name = orwelloid

| Periods = 1

| 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¢).

== Names ==

The [[TAMNAMS]] name for this pattern is '''~~gramitonic~~''' (~~from ''grave minor third''~~).

The [[TAMNAMS]] name for this pattern is '''orwelloid''' (named after the abstract temperament [[orwell]]).

== Notation ==

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== Intervals ==

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.

Note: In TAMNAMS, a k-step interval class in orwelloid 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 ==

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=== Parasoft ===

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¢.

Parasoft tunings of orwelloid 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 ~~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]].

In parasoft orwelloid, 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 ~~4L 5s~~ EDOs include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].

Parasoft orwelloid 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).

* [[31edo]] can be used for its nearly pure [[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 ~~4L 5s~~ are as follows in various parasoft ~~4L 5s~~ tunings.

The sizes of the generator, large step and small step of orwelloid are as follows in various parasoft orwelloid tunings.

{| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"

|-

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[[Category:MOS Scales]]

[[Category:9-tone scales]]

[[Category:~~Gramitonic~~]]

[[Category:Orwelloid]]

@@ Line 1: / Line 1: @@
 {{Infobox MOS
-| Name = gramitonic
+| Name = orwelloid
 | Periods = 1
 | nLargeSteps = 4
@@ Line 10: / Line 10: @@
 '''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 ==
-The [[TAMNAMS]] name for this pattern is '''gramitonic''' (from ''grave minor third'').
+The [[TAMNAMS]] name for this pattern is '''orwelloid''' (named after the abstract temperament [[orwell]]).
 == Notation ==
@@ Line 20: / Line 20: @@
 == Intervals ==
-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.
+Note: In TAMNAMS, a k-step interval class in orwelloid 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 ==
@@ Line 26: / Line 26: @@
 === Parasoft ===
-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¢.
+Parasoft tunings of orwelloid 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 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]].
+In parasoft orwelloid, 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 4L 5s EDOs include [[22edo]], [[31edo]], [[53edo]], and [[84edo]].
+Parasoft orwelloid 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).
 * [[31edo]] can be used for its nearly pure [[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 4L 5s are as follows in various parasoft 4L 5s tunings.
+The sizes of the generator, large step and small step of orwelloid are as follows in various parasoft orwelloid tunings.
 {| class="wikitable right-2 right-3 right-4 right-5 right-6 right-7"
 |-
@@ Line 151: / Line 151: @@
 [[Category:MOS Scales]]
 [[Category:9-tone scales]]
-[[Category:Gramitonic]] <!-- main article -->
+[[Category:Orwelloid]] <!-- main article -->