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'''Biyatismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the biyatisma, [[121/120]].
'''Biyatismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the biyatisma, [[121/120]].


There are two triads, nine tetrads, seven pentads and one hexad as 2.3.5.11 subgroup [[11-odd-limit]] essentially tempered chords.
There are two triads, nine tetrads, seven pentads and one hexad as 2.3.5.11 subgroup [[11-odd-limit]] essentially tempered chords. In this article, voicing with the [[perfect fifth]] is prioritized.  


The two biyatismic triads are in inverse relationship:  
The two biyatismic triads are in inverse relationship:  
* 1-11/8-5/3 chord with steps of 11/8-11/9-6/5;  
* 1-11/8-5/3 with steps 11/8-11/9-6/5;  
* 1-6/5-16/11 chord with steps of 6/5-11/9-11/8.
* 1-11/8-18/11 with steps 11/8-6/5-11/9.


For tetrads, there are three palindromic chords and three pairs of chords in inverse relationship. The palindromic chords are  
For tetrads, there are three palindromic chords and three pairs of chords in inverse relationship. The palindromic chords are  
* 1-9/8-11/8-18/11 chord with steps of 9/8-11/9-6/5-11/9;  
* 1-9/8-11/8-18/11 with steps 9/8-11/9-6/5-11/9;  
* 1-5/4-11/8-11/6 chord with steps of 5/4-11/10-4/3-11/10;
* 1-11/10-11/8-3/2 with steps 11/10-5/4-11/10-4/3;
* 1-3/2-18/11-11/6 chord with steps of 3/2-11/10-10/9-11/10.  
* 1-3/2-18/11-11/6 with steps 3/2-11/10-10/9-11/10.  


The inversely related pairs of chords are
The inversely related pairs of chords are
* 1-11/8-5/3-11/6 with steps of 11/8-11/9-11/10-11/10 and 1-11/10-6/5-16/11 with steps of 11/10-11/10-11/9-11/8;  
* 1-11/8-3/2-18/11 with steps 11/8-11/10-11/10-11/9, and its inverse
* 1-5/4-3/2-11/6 with steps of 5/4-6/5-11/9-11/10 and 1-11/10-4/3-8/5 with steps of 11/10-11/9-6/5-5/4;  
* 1-11/10-3/2-11/6 with steps 11/10-11/8-11/9-11/10;  
* 1-11/8-18/11-11/6 with steps of 11/8-6/5-10/9-11/10 and 1-11/10-11/9-16/11 with steps of 11/10-10/9-6/5-11/8.  
* 1-5/4-3/2-11/6 with steps 5/4-6/5-11/9-11/10, and its inverse
* 1-6/5-3/2-18/11 with steps 6/5-5/4-11/10-11/9;  
* 1-11/8-3/2-5/3 with steps 11/8-11/10-10/9-6/5, and its inverse
* 1-11/10-3/2-9/5 with steps 11/10-11/8-6/5-10/9.  


For pentads, there are one palindromic chord and three pairs of chords in inverse relationship. The palindromic chord is
For pentads, there are one palindromic chord and three pairs of chords in inverse relationship. The palindromic chord is
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The inversely related pairs of chords are
The inversely related pairs of chords are
* 1-11/8-3/2-5/3-11/6 with steps of 11/8-11/10-10/9-11/10-11/10 and 1-11/10-6/5-4/3-16/11 with steps of 11/10-11/10-10/9-11/10-11/8;  
* 1-11/8-3/2-5/3-11/6 with steps 11/8-11/10-10/9-11/10-11/10 and its inverse
* 1-5/4-3/2-5/3-11/6 with steps of 5/4-6/5-10/9-11/10-11/10 and 1-11/10-6/5-4/3-8/5 with steps of 11/10-11/10-10/9-6/5-5/4;  
* 1-11/10-3/2-18/11-9/5 with steps 11/10-11/8-11/10-11/10-10/9;  
* 1-5/4-11/8-3/2-11/6 with steps of 5/4-11/10-11/10-11/9-11/10 and 1-11/10-4/3-16/11-8/5 with steps of 11/10-11/9-11/10-11/10-5/4.  
* 1-5/4-3/2-5/3-11/6 with steps 5/4-6/5-10/9-11/10-11/10 and its inverse
* 1-6/5-3/2-11/8-11/6 with steps 6/5-5/4-11/10-11/10-10/9;  
* 1-5/4-11/8-3/2-11/6 with steps 5/4-11/10-11/10-11/9-11/10 and its inverse
* 1-11/10-6/5-3/2-18/11 with steps 11/10-11/10-5/4-11/10-11/9.  


Finally there is a palindromic hexad,
Finally, there is a palindromic hexad,
* 1-5/4-11/8-3/2-5/3-11/6 with steps of 5/4-11/10-11/10-10/9-11/10-11/10.  
* 1-5/4-11/8-3/2-5/3-11/6 with steps 5/4-11/10-11/10-10/9-11/10-11/10.  


Equal temperaments with biyatismic chords include {{Optimal ET sequence| 7, 9, 15, 16, 22, 24, 29, 31, 38, 46 and 53 }}.
Equal temperaments with biyatismic chords include {{Optimal ET sequence| 7, 9, 15, 16, 22, 24, 29, 31, 38, 46 and 53 }}.
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