5L 4s: Difference between revisions
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| Equalized = 2 | | Equalized = 2 | ||
| Paucitonic = 1 | | Paucitonic = 1 | ||
| Pattern = | | Pattern = LsLsLsLsL | ||
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#: 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]]. | #: 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-basic 5L 4s, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth. | # [[soft]]-of-basic 5L 4s, generated by semifourths sharper than 3\14 (257.14¢). This implies a "[[mavila]]" or superdiatonic fifth. | ||
== Names == | == Names == | ||
The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L 4s pattern. | The [[TAMNAMS]] convention, used by this article, uses '''semiquartal''' (derived from 'half a fourth') for the 5L 4s pattern. | ||
== Notation == | == Notation == | ||
This article uses the convention JKLMNOPQR = | This article uses the convention JKLMNOPQR = LsLsLsLsL. The accidentals & and @ are used for raising and lowering by the chroma = L − s, respectively. | ||
== | == Temperaments == | ||
The familiar harmonic entropy minimum with this MOS pattern is [[ | The familiar harmonic entropy minimum with this MOS pattern is [[godzilla]], in which a generator is [[8/7]] or [[7/6]] (tempered to be the same interval) so two of them make a [[4/3]]. However, in addition to godzilla (tempering out 81/80) and the 2.3.7 temperament [[semaphore]], there is also a weird scale called "[[pseudo-semaphore]]", in which two different flavors of [[3/2]] exist in the same scale: an octave minus two generators makes a sharp 3/2, and two octaves minus seven generators makes a flat 3/2. The 2.3.13/5 [[barbados]] temperament is another possible interpretation. | ||
== Tuning ranges == | == Tuning ranges == | ||
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[[Category: | [[Category:Scale theory]] | ||
[[Category:9-tone scales]] | [[Category:9-tone scales]] | ||
[[Category:Abstract MOS patterns]] | [[Category:Abstract MOS patterns]] | ||
[[Category:Semiquartal| ]] <!-- main article --> | [[Category:Semiquartal| ]] <!-- main article --> | ||