Sinbadmic chords: Difference between revisions

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The triads are of the form
The triads are of the form
* 1-[[7/5]]-[[20/13]], with steps of [[7/5]]-[[11/10]]-[[13/10]],  
* 1–[[7/5]][[20/13]], with steps of 7/5, [[11/10]], [[13/10]],  


and its inversion,  
and its inversion,  
* 1-[[7/5]]-[[20/11]], with steps of [[7/5]]-[[13/10]]-[[11/10]].  
* 1–7/5–[[20/11]], with steps of 7/5, 13/10, 11/10.  


It leads to following tetrads:  
They can be extended to following palindromic tetrads:  
* 1-[[11/10]]-[[13/10]]-[[10/7]] with steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]];  
* 1–11/10–13/10–[[10/7]] with steps of 11/10, [[13/11]], 11/10, 7/5;  
* 1-[[11/10]]-[[10/7]]-[[11/7]] with steps of [[11/10]]-[[13/10]]-[[11/10]]-[[14/11]];  
* 1–11/10–10/7–[[11/7]] with steps of 11/10, 13/10, 11/10, [[14/11]];  
* 1-[[13/10]]-[[10/7]]-[[13/7]] with steps of [[13/10]]-[[11/10]]-[[13/10]]-[[14/13]].  
* 1–13/10–10/7–[[13/7]] with steps of 13/10, 11/10, 13/10, [[14/13]].  


Equal temperaments with sinbadmic chords include {{Optimal ET sequence| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].
Equal temperaments with sinbadmic chords include {{Optimal ET sequence| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].