Gassormic chords: Difference between revisions
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Gassormic temperament contains many possibilities for essentially tempered dyadic chords including 6 triads and 21 tetrads in the [[13-odd-limit]]. | Gassormic temperament contains many possibilities for essentially tempered dyadic chords including 6 triads and 21 tetrads in the [[13-odd-limit]]. | ||
The inversely related pairs of | For triads, there are 3 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 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; | ||
* 1-14/11-5/3 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 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; | ||
* 1-7/5-11/6 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 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. | ||
For tetrads, there are 3 palindromic chords and 9 pairs of chords in inverse relationship. The palindromic chords are | For tetrads, there are 3 palindromic chords and 9 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; | ||
* 1-13/10-10/7-13/7 chord with steps of 13/10-12/11-13/10-14/13. | * 1-13/10-10/7-13/7 chord with steps of 13/10-12/11-13/10-14/13. | ||
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; | * 1-13/11-10/7-12/7 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; | ||
* 1-6/5-20/13-5/3 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; | * 1-6/5-20/13-5/3 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; | ||