3L 2s (3/2-equivalent): Difference between revisions
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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. | 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. | ||
[[Step ratio|Basic]] semiwolf is in [[8edf]], which is a very good fifth-based equal temperament similar to [[88cET]]. | [[Step ratio|Basic]] semiwolf is in [[8edf]], which is a very good fifth-based equal temperament similar to [[88cET]]. Like all fifth-based temperaments, semiwolf is more convenient to notate with its nominals and accidentals repeating after multiple fifths so that e. g. its harmonic 7th chords will not spell as a voicing of tone clusters (1-7/6-5/4). | ||
[[Category:Scales]] | [[Category:Scales]] | ||
[[Category:Abstract MOS patterns]] | [[Category:Abstract MOS patterns]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] |
Revision as of 18:59, 27 April 2021
↖ 2L 1s⟨3/2⟩ | ↑ 3L 1s⟨3/2⟩ | 4L 1s⟨3/2⟩ ↗ |
← 2L 2s⟨3/2⟩ | 3L 2s (3/2-equivalent) | 4L 2s⟨3/2⟩ → |
↙ 2L 3s⟨3/2⟩ | ↓ 3L 3s⟨3/2⟩ | 4L 3s⟨3/2⟩ ↘ |
┌╥╥┬╥┬┐ │║║│║││ │││││││ └┴┴┴┴┴┘
sLsLL
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.
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.
Basic semiwolf is in 8edf, which is a very good fifth-based equal temperament similar to 88cET. Like all fifth-based temperaments, semiwolf is more convenient to notate with its nominals and accidentals repeating after multiple fifths so that e. g. its harmonic 7th chords will not spell as a voicing of tone clusters (1-7/6-5/4).