3L 2s (3/2-equivalent): Difference between revisions

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| Pattern = LLsLs

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'''3L 2s<3/2>''' (sometimes called '''~~semiwolf~~'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]]~~. The name "semiwolf" comes from two generators approximating a [[27/20]] wolf fourth~~.

'''3L 2s<3/2>''' (sometimes called '''uranian'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]].

Because semiwolf is a fifth-repeating scale, each tone has a 3/2 perfect fifth above it. The scale has three major chords and two minor chords, all voiced so that the third of the triad is an octave higher, a tenth. Semiwolf also has two harmonic 7th chords.

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[[Step ratio|Basic]] semiwolf is in [[8edf]], which is a very good fifth-based equal temperament similar to [[88cET]].

== Temperaments ==

The most basic rank-2 temperament interpretation of uranian is semiwolf, which has 4:7:10 chords spelled <code>root-(p+1g)-(3p-2g)</code> (p = 3/2, g = the approximate 7/6). The name "semiwolf" comes from two [[7/6]] generators approximating a [[27/20]] wolf fourth.

=== Semiwolf ===

[[Subgroup]]: 3/2.7/4.5/2

[[Comma]] list: [[245/243]]

[[POL2]] generator: ~7/6 = 262.1728

[[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}]

[[Vals]]: {{val list|8edf, 11edf, 13edf}}

==== Semilupine ====

[[Subgroup]]: 3/2.7/4.5/2.11/4

[[Comma]] list: [[245/243]], [[100/99]]

[[POL2]] generator: ~7/6 = 264.3771

[[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}]

[[Vals]]: {{val list|8edf, 13edf}}

==== Hemilycan ====

[[Subgroup]]: 3/2.7/4.5/2.11/4

[[Comma]] list: [[245/243]], [[441/440]]

[[POL2]] generator: ~7/6 = 261.5939

[[Mapping]]: [{{val|1 1 3 1}}, {{val|0 1 -2 4}}]

[[Vals]]: {{val list|8edf, 11edf}}

[[Category:Scales]]

[[Category:Abstract MOS patterns]]

[[Category:Nonoctave]]

@@ Line 8: / Line 8: @@
 | Pattern = LLsLs
 }}
-'''3L 2s<3/2>''' (sometimes called '''semiwolf'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]]. The name "semiwolf" comes from two generators approximating a [[27/20]] wolf fourth.
+'''3L 2s<3/2>''' (sometimes called '''uranian'''), is a fifth-repeating MOS scale. The notation "<3/2>" means the period of the MOS is 3/2, disambiguating it from octave-repeating [[3L 2s]].
 Because semiwolf is a fifth-repeating scale, each tone has a 3/2 perfect fifth above it. The scale has three major chords and two minor chords, all voiced so that the third of the triad is an octave higher, a tenth. Semiwolf also has two harmonic 7th chords.
@@ Line 14: / Line 14: @@
 [[Step ratio|Basic]] semiwolf is in [[8edf]], which is a very good fifth-based equal temperament similar to [[88cET]].
+== Temperaments ==
+The most basic rank-2 temperament interpretation of uranian is semiwolf, which has 4:7:10 chords spelled <code>root-(p+1g)-(3p-2g)</code> (p = 3/2, g = the approximate 7/6). The name "semiwolf" comes from two [[7/6]] generators approximating a [[27/20]] wolf fourth.
+=== Semiwolf ===
+[[Subgroup]]: 3/2.7/4.5/2
+[[Comma]] list: [[245/243]]
+[[POL2]] generator: ~7/6 = 262.1728
+[[Mapping]]: [{{val|1 1 3}}, {{val|0 1 -2}}]
+[[Vals]]: {{val list|8edf, 11edf, 13edf}}
+==== Semilupine ====
+[[Subgroup]]: 3/2.7/4.5/2.11/4
+[[Comma]] list: [[245/243]], [[100/99]]
+[[POL2]] generator: ~7/6 = 264.3771
+[[Mapping]]: [{{val|1 1 3 4}}, {{val|0 1 -2 -4}}]
+[[Vals]]: {{val list|8edf, 13edf}}
+==== Hemilycan ====
+[[Subgroup]]: 3/2.7/4.5/2.11/4
+[[Comma]] list: [[245/243]], [[441/440]]
+[[POL2]] generator: ~7/6 = 261.5939
+[[Mapping]]: [{{val|1 1 3 1}}, {{val|0 1 -2 4}}]
+[[Vals]]: {{val list|8edf, 11edf}}
 [[Category:Scales]]
 [[Category:Abstract MOS patterns]]
 [[Category:Nonoctave]]