5L 4s: Difference between revisions

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'''5L 4s'''~~, or '''semiquartal''' (in [[Inthar's MOS naming scheme]]),~~ refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).

'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).

~~Semiquartal~~ tunings can be divided into two major ranges:

5L 4s tunings can be divided into two major ranges:

# "[[hard]]-of-center" ~~semiquartal~~, generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.

# "[[hard]]-of-center" 5L 4s, generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.

#: 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]].

# "[[soft]]-of-center" ~~semiquartal~~, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.

# "[[soft]]-of-center" 5L 4s, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.

== Names ==

The [[TAMNAMS]] name for 5L 4s is '''semiquartal''' derived from 'half a fourth'.

== Notation ==

This article uses the convention JKLMNOPQR = LSLSLSLSL and pitch standard J = C4 = 261.6255653 Hz. The accidentals & and @ are used for raising and lowering by the chroma = L − S, respectively.

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-'''5L 4s''', or '''semiquartal''' (in [[Inthar's MOS naming scheme]]), refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).
+'''5L 4s''' refers to the structure of [[MOS]] scales with generators ranging from 1\5 (one degree of [[5edo]] = 240¢) to 2\9 (two degrees of [[9edo]] = 266.7¢). In the case of 9edo, L and s are the same size; in the case of 5edo, s becomes so small it disappears (and all that remains are the five equal L's).
-Semiquartal tunings can be divided into two major ranges:
+L 4s tunings can be divided into two major ranges:
-# "[[hard]]-of-center" semiquartal, generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.
+# "[[hard]]-of-center" 5L 4s, generated by semifourths flatter than 3\14 (257.14¢). This implies a diatonic fifth.
 #: 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]].
-# "[[soft]]-of-center" semiquartal, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.
+# "[[soft]]-of-center" 5L 4s, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth.
+== Names ==
+The [[TAMNAMS]] name for 5L 4s is '''semiquartal''' derived from 'half a fourth'.
 == Notation ==
 This article uses the convention JKLMNOPQR = LSLSLSLSL and pitch standard J = C4 = 261.6255653 Hz. The accidentals & and @ are used for raising and lowering by the chroma = L &minus; S, respectively.