5L 4s: Difference between revisions

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== Names ==

The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L~~ ~~4s pattern. Another attested name is '''hemifourths'''.

The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L 4s pattern. Another attested name is '''hemifourths'''.

== Scale properties ==

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== Tuning ranges ==

=== Hard-of-basic ===

Hard-of-basic tunings have [[Semifourth|semifourths]] as generators, between 1\5~~ ~~(240¢) and 3\14~~ ~~(257.14¢), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].

Hard-of-basic tunings have [[Semifourth|semifourths]] as generators, between 1\5 (240¢) and 3\14 (257.14¢), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].

==== Hypohard ====

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"

|-

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=== Soft-of-basic ===

Soft-of-basic tunings have semifourths that are between 3\14~~ ~~(257.14¢) and 2\9~~ ~~(266.67¢), creating a "[[mavila]]" or "[[superdiatonic]]" 4th. [[23edo]]'s 5\23~~ ~~(260.87¢) is an example of this generator.

Soft-of-basic tunings have semifourths that are between 3\14 (257.14¢) and 2\9 (266.67¢), creating a "[[mavila]]" or "[[superdiatonic]]" 4th. [[23edo]]'s 5\23 (260.87¢) is an example of this generator.

The sizes of the generator, large step and small step of 5L 4s are as follows in various soft-of-basic tunings.

@@ Line 3: / Line 3: @@
 == Names ==
-The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L&nbsp;4s pattern. Another attested name is '''hemifourths'''.
+The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L 4s pattern. Another attested name is '''hemifourths'''.
 == Scale properties ==
@@ Line 40: / Line 40: @@
 == Tuning ranges ==
 === Hard-of-basic ===
-Hard-of-basic tunings have [[Semifourth|semifourths]] as generators, between 1\5&nbsp;(240¢) and 3\14&nbsp;(257.14¢), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].
+Hard-of-basic tunings have [[Semifourth|semifourths]] as generators, between 1\5 (240¢) and 3\14 (257.14¢), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].
 ==== Hypohard ====
 The sizes of the generator, large step and small step of 5L 4s are as follows in various hypohard ({{nowrap|2/1 &le; L/s &le; 3/1}}) tunings.
 {| class="wikitable right-2 right-3 right-4 right-5 right-6"
 |-
@@ Line 110: / Line 109: @@
 === Soft-of-basic ===
-Soft-of-basic tunings have semifourths that are between 3\14&nbsp;(257.14¢) and 2\9&nbsp;(266.67¢), creating a "[[mavila]]" or "[[superdiatonic]]" 4th. [[23edo]]'s 5\23&nbsp;(260.87¢) is an example of this generator.
+Soft-of-basic tunings have semifourths that are between 3\14 (257.14¢) and 2\9 (266.67¢), creating a "[[mavila]]" or "[[superdiatonic]]" 4th. [[23edo]]'s 5\23 (260.87¢) is an example of this generator.
 The sizes of the generator, large step and small step of 5L 4s are as follows in various soft-of-basic tunings.