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'''Cimbrismic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the cimbrisma, [[1275/1274]].
'''Cimbrismic chords''' are [[dyadic chord|essentially tempered chords]] tempered by the cimbrisma, [[1275/1274]].


Cimbrismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.13.17 [[subgroup]] [[17-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.
Cimbrismic chords are of [[dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.13.17 [[subgroup]] [[17-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 three pairs of chords in inverse relationship:  
For triads, there are three pairs of chords in inverse relationship:  
* 1-17/13-7/5 with steps of 17/13-15/14-10/7, and its inverse  
* 1–17/13–7/5 with steps of 17/13, 15/14, 10/7, and its inverse  
* 1-15/14-7/5 with steps of 15/14-17/13-10/7;
* 1–15/14–7/5 with steps of 15/14, 17/13, 10/7;
* 1-17/14-7/5 with steps of 17/14-15/13-10/7, and its inverse  
* 1–17/14–7/5 with steps of 17/14, 15/13, 10/7, and its inverse  
* 1-15/13-7/5 with steps of 15/13-17/14-10/7;
* 1–15/13–7/5 with steps of 15/13, 17/14, 10/7;
* 1-17/14-13/10 with steps of 17/14-15/14-20/13, and its inverse  
* 1–17/14–13/10 with steps of 17/14, 15/14, 20/13, and its inverse  
* 1-15/14-13/10 with steps of 15/14-17/14-20/13.
* 1–15/14–13/10 with steps of 15/14, 17/14, 20/13.


For tetrads, there are three palindromic chords and six 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  
* 1-20/17-10/7-28/17 with steps of 20/17-17/14-15/13-17/14;
* 1–20/17–10/7–28/17 with steps of 20/17, 17/14, 15/13, 17/14;
* 1-15/14-7/5-3/2 with steps of 15/14-17/13-15/14-4/3;
* 1–15/14–7/5–3/2 with steps of 15/14, 17/13, 15/14, 4/3;
* 1-15/14-17/14-13/10 with steps of 15/14-17/15-15/14-20/13.
* 1–15/14–17/14–13/10 with steps of 15/14, 17/15, 15/14, 20/13.


The inversely related pairs of chords are  
The inversely related pairs of chords are  
* 1-20/17-10/7-26/17 with steps of 20/17-17/14-15/14-17/13, and its inverse  
* 1–20/17–10/7–26/17 with steps of 20/17, 17/14, 15/14, 17/13, and its inverse  
* 1-15/14-13/10-26/17 with steps of 15/14-17/14-20/17-17/13;
* 1–15/14–13/10–26/17 with steps of 15/14, 17/14, 20/17, 17/13;
* 1-15/13-7/5-3/2 with steps of 15/13-17/14-15/14-4/3, and its inverse  
* 1–15/13–7/5–3/2 with steps of 15/13, 17/14, 15/14, 4/3, and its inverse  
* 1-15/14-13/10-3/2 with steps of 15/14-17/14-15/13-4/3;
* 1–15/14–13/10–3/2 with steps of 15/14, 17/14, 15/13, 4/3;
* 1-17/14-17/13-7/5 with steps of 17/14-14/13-15/14-10/7, and its inverse  
* 1–17/14–17/13–7/5 with steps of 17/14, 14/13, 15/14, 10/7, and its inverse  
* 1-15/14-15/13-7/5 with steps of 15/14-14/13-17/14-10/7;
* 1–15/14–15/13–7/5 with steps of 15/14, 14/13, 17/14, 10/7;
* 1-17/14-13/10-7/5 with steps of 17/14-15/14-14/13-10/7, and its inverse  
* 1–17/14–13/10–7/5 with steps of 17/14, 15/14, 14/13, 10/7, and its inverse  
* 1-14/13-15/13-7/5 with steps of 14/13-15/14-17/14-10/7;
* 1–14/13–15/13–7/5 with steps of 14/13, 15/14, 17/14, 10/7;
* 1-15/13-17/13-7/5 with steps of 15/13-17/15-15/14-10/7, and its inverse  
* 1–15/13–17/13–7/5 with steps of 15/13, 17/15, 15/14, 10/7, and its inverse  
* 1-15/14-17/14-7/5 with steps of 15/14-17/15-15/13-10/7;
* 1–15/14–17/14–7/5 with steps of 15/14, 17/15, 15/13, 10/7;
* 1-14/13-17/13-7/5 with steps of 14/13-17/14-15/14-10/7, and its inverse  
* 1–14/13–17/13–7/5 with steps of 14/13, 17/14, 15/14, 10/7, and its inverse  
* 1-15/14-13/10-7/5 with steps of 15/14-17/14-14/13-10/7.
* 1–15/14–13/10–7/5 with steps of 15/14, 17/14, 14/13, 10/7.


For pentads, there are three pairs of chords in inverse relationship:  
For pentads, there are three pairs of chords in inverse relationship:  
* 1-20/17-10/7-26/17-28/17 with steps of 20/17-17/14-15/14-14/13-17/14, and its inverse  
* 1–20/17–10/7–26/17–28/17 with steps of 20/17, 17/14, 15/14, 14/13, 17/14, and its inverse  
* 1-14/13-15/13-7/5-28/17 with steps of 14/13-15/14-17/14-20/17-17/14;
* 1–14/13–15/13–7/5–28/17 with steps of 14/13, 15/14, 17/14, 20/17, 17/14;
* 1-15/14-13/10-7/5-3/2 with steps of 15/14-17/14-14/13-15/14-4/3, and its inverse  
* 1–15/14–13/10–7/5–3/2 with steps of 15/14, 17/14, 14/13, 15/14, 4/3, and its inverse  
* 1-15/14-15/13-7/5-3/2 with steps of 15/14-14/13-17/14-15/14-4/3;
* 1–15/14–15/13–7/5–3/2 with steps of 15/14, 14/13, 17/14, 15/14, 4/3;
* 1-14/13-15/13-17/13-7/5 with steps of 14/13-15/14-17/15-15/14-10/7, and its inverse  
* 1–14/13–15/13–17/13–7/5 with steps of 14/13, 15/14, 17/15, 15/14, 10/7, and its inverse  
* 1-15/14-17/14-13/10-7/5 with steps of 15/14-17/15-15/14-14/13-10/7.
* 1–15/14–17/14–13/10–7/5 with steps of 15/14, 17/15, 15/14, 14/13, 10/7.


Equal temperaments with cimbrismic chords include {{Optimal ET sequence|31, 41, 50, 53, 58, 60, 68, 72, 111, 121, 130, 140, 171, 183, 243, 311, 354, 364 and 494 }}.
Equal temperaments with cimbrismic chords include {{Optimal ET sequence| 31, 41, 50, 53, 58, 60, 68, 72, 111, 121, 130, 140, 171, 183, 243, 311, 354, 364 and 494 }}.


[[Category:17-odd-limit]]
[[Category:17-odd-limit]]
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