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.  
* 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;  
* 1–11/8–11/7–7/4 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.  
* 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
* 1–7/6–11/8–3/2 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;  
* 1–7/6–11/8–11/6 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
* 1–7/6–11/8–7/4 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.  
* 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;  
* 1–7/6–11/8–11/7–7/4 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.  
* 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
* 1–7/6–11/8–3/2–7/4 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.  
* 1–7/6–11/8–11/7–11/6 with steps 7/6, 7/6, 8/7, 7/6, 12/11.  


Equal divisions with mothwellsmic chords include [[22edo]], [[31edo]], [[53edo]], [[96edo]] and [[127edo]].
[[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]]