Mothwellsmic chords: Difference between revisions
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The mothwellsmic triad consists of a stack of two [[7/6]]'s and [[16/11]] closing at the octave: | The mothwellsmic triad consists of a stack of two [[7/6]]'s and [[16/11]] closing at the octave: | ||
* | * 1–7/6–11/8 with steps 7/6, 7/6, 16/11. | ||
For tetrads, there are two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are | For tetrads, there are two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are | ||
* | * 1–11/8–11/7–7/4 with steps 11/8, 8/7, 9/8, 8/7; | ||
* | * 1–7/6–9/7–3/2 with steps 7/6, 12/11, 7/6, 4/3. | ||
The inversely related pairs of chords are | The inversely related pairs of chords are | ||
* | * 1–7/6–11/8–3/2 with steps 7/6, 7/6, 12/11, 4/3, and its inverse | ||
* | * 1–7/6–11/8–11/6 with steps 7/6, 7/6, 4/3, 12/11; | ||
* | * 1–7/6–11/8–7/4 with steps 7/6, 7/6, 9/7, 8/7, and its inverse | ||
* | * 1–7/6–11/8–11/7 with steps 7/6, 7/6, 8/7, 9/7. | ||
For pentads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | For pentads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | ||
* | * 1–7/6–11/8–11/7–7/4 with steps 7/6, 7/6, 8/7, 9/8, 8/7; | ||
* | * 1–7/6–11/8–3/2–11/6 with steps 7/6, 7/6, 12/11, 11/9, 12/11. | ||
The inversely related pair of chords is | The inversely related pair of chords is | ||
* | * 1–7/6–11/8–3/2–7/4 with steps 7/6, 7/6, 12/11, 7/6, 8/7, and its inverse | ||
* | * 1–7/6–11/8–11/7–11/6 with steps 7/6, 7/6, 8/7, 7/6, 12/11. | ||
Equal | [[Equal temperament]]s with mothwellsmic chords include {{EDOs| 22, 31, 53, 96, and 127 }}. | ||
[[Category:11-odd-limit]] | [[Category:11-odd-limit chords]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triads]] | [[Category:Triads]] | ||