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'''Gassormic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the gassorma, [[275/273]].
'''Gassormic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the gassorma, [[275/273]].


Gassormic temperament contains many possibilities for essentially tempered dyadic chords including 6 triads and 21 tetrads in the [[13-odd-limit]].
Gassormic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the [[13-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.


For triads, there are 3 pairs of chords in inverse relationship. The inversely related pairs of chords are:  
For triads, there are three pairs of chords in inverse relationship. The inversely related pairs of chords are:  
* 1-7/5-5/3 chord with steps of 7/5-13/11-6/5 and 1-6/5-10/7 chord with steps of 6/5-13/11-7/5;
* 1-7/5-5/3 with steps of 7/5-13/11-6/5 and its inverse 1-6/5-10/7 with steps of 6/5-13/11-7/5;
* 1-14/11-5/3 chord with steps of 14/11-13/10-6/5 and 1-6/5-11/7 chord with steps of 6/5-13/10-14/11;
* 1-14/11-5/3 with steps of 14/11-13/10-6/5 and its inverse 1-6/5-11/7 with steps of 6/5-13/10-14/11;
* 1-7/5-11/6 chord with steps of 7/5-13/10-12/11 and 1-12/11-10/7 chord with steps of 12/11-13/10-7/5.
* 1-7/5-11/6 with steps of 7/5-13/10-12/11 and its inverse 1-12/11-10/7 with steps of 12/11-13/10-7/5.


For tetrads, there are 3 palindromic chords and 9 pairs of chords in inverse relationship. The palindromic chords are:  
For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are:  
* 1-6/5-10/7-12/7 chord with steps of 6/5-13/11-6/5-7/6;
* 1-6/5-10/7-12/7 chord with steps of 6/5-13/11-6/5-7/6;
* 1-6/5-13/10-11/7 chord with steps of 6/5-13/12-6/5-14/11;
* 1-6/5-13/10-11/7 chord with steps of 6/5-13/12-6/5-14/11;
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The inversely related pairs of chords are:  
The inversely related pairs of chords are:  
* 1-13/11-10/7-12/7 chord with steps of 13/11-6/5-6/5-7/6 and 1-7/6-7/5-22/13 chord with steps of 7/6-6/5-6/5-13/11;
* 1-13/10-11/7-11/6 with steps of 13/10-6/5-7/6-12/11 and its inverse 1-7/6-7/5-11/6 with steps of 7/6-6/5-13/10-12/11;
* 1-6/5-20/13-5/3 chord with steps of 6/5-14/11-13/12-6/5 and 1-6/5-13/10-5/3 chord with steps of 6/5-13/12-14/11-6/5;
* 1-6/5-10/7-11/7 with steps of 6/5-13/11-11/10-14/11 and its inverse 1-14/11-7/5-5/3 with steps of 14/11-11/10-13/11-6/5;
* 1-12/11-10/7-13/7 chord with steps of 12/11-13/10-13/10-14/13 and 1-14/13-7/5-11/6 chord with steps of 14/13-13/10-13/10-12/11;
* 1-13/10-11/7-13/7 with steps of 13/10-6/5-13/11-14/13 and its inverse 1-13/10-7/5-5/3 with steps of 13/10-14/13-13/11-6/5;
* 1-12/11-10/7-12/7 chord with steps of 12/11-13/10-6/5-7/6 and 1-7/6-7/5-11/6 chord with steps of 7/6-6/5-13/10-12/11;
* 1-11/10-6/5-11/7 with steps of 11/10-12/11-13/10-14/11 and its inverse 1-11/10-7/5-11/6 with steps of 11/10-14/11-13/10-12/11;
* 1-6/5-10/7-11/7 chord with steps of 6/5-13/11-11/10-14/11 and 1-14/11-7/5-5/3 chord with steps of 14/11-11/10-13/11-6/5;
* 1-7/5-20/13-5/3 with steps of 7/5-12/11-13/12-6/5 and its inverse 1-6/5-13/10-10/7 with steps of 6/5-13/12-12/11-7/5;
* 1-6/5-10/7-13/7 chord with steps of 6/5-13/11-13/10-14/13 and 1-14/13-7/5-5/3 chord with steps of 14/13-13/10-13/11-6/5;
* 1-7/5-5/3-11/6 with steps of 7/5-13/11-11/10-12/11 and its inverse 1-12/11-6/5-10/7 with steps of 12/11-11/10-13/11-7/5.
* 1-12/11-10/7-11/7 chord with steps of 12/11-13/10-11/10-14/11 and 1-14/11-7/5-11/6 chord with steps of 14/11-11/10-13/10-12/11;
* 1-12/11-20/13-5/3 chord with steps of 12/11-7/5-13/12-6/5 and 1-6/5-13/10-11/6 chord with steps of 6/5-13/12-7/5-12/11;
* 1-7/5-5/3-11/6 chord with steps of 7/5-13/11-11/10-12/11 and 1-12/11-6/5-10/7 chord with steps of 12/11-11/10-13/11-7/5.


Equal temperaments with gassormic chords include {{EDOs| 10, 15, 22, 26, 29, 31, 41 and 53 }}.
For pentads, there are three pairs of chords in inverse relationship:
* 1-11/10-13/10-7/5-11/6 with steps of 11/10-13/11-14/13-13/10-12/11 and its inverse 1-13/10-7/5-5/3-11/6 with steps of 13/10-14/13-13/11-11/10-12/11;
* 1-6/5-13/10-10/7-11/7 with steps of 6/5-13/12-12/11-11/10-14/11 and its inverse 1-13/12-13/10-5/3-11/6 with steps of 13/12-6/5-14/11-11/10-12/11;
* 1-7/6-7/5-5/3-11/6 with steps of 7/6-6/5-13/11-11/10-12/11 and its inverse 1-7/6-14/11-7/5-5/3 with steps of 7/6-12/11-11/10-13/11-6/5.
 
Equal temperaments with gassormic chords include {{Optimal ET sequence| 10, 15, 22, 26, 29, 31, 41 and 53 }}.


[[Category:13-odd-limit]]
[[Category:13-odd-limit]]
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[[Category:Triads]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Gassormic]]
[[Category:Gassormic]]
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