Ragismic chords: Difference between revisions
Created page with "'''Ragismic chords''' are essentially tempered chords tempered by the ragisma, 4375/4374. The ragismic temperament has 4 t..." |
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For triads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | For triads, there are two palindromic chords and a pair of chords in inverse relationship. The palindromic chords are | ||
* 1-27/25-7/6 chord with steps of 27/25-27/25-12/7; | * 1-27/25-7/6 chord with steps of 27/25-27/25-12/7; | ||
* 1-25/18- | * 1-25/18-27/14 chord with steps of 25/18-25/18-28/27. | ||
The inversely related pair of chords is | The inversely related pair of chords is | ||
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For tetrads, there are three palindromic chords and four pairs of chords in inverse relationship. The palindromic chords are | For tetrads, there are three palindromic chords and four pairs of chords in inverse relationship. The palindromic chords are | ||
* 1-27/25- | * 1-27/25-25/18-3/2 chord with steps of 27/25-9/7-27/25-4/3; | ||
* 1-27/25-25/18-14/9 chord with steps of 27/25-9/7-28/25-9/7; | * 1-27/25-25/18-14/9 chord with steps of 27/25-9/7-28/25-9/7; | ||
* 1-27/25-9/7-25/18 chord with steps of 27/25-25/21-27/25-36/25. | * 1-27/25-9/7-25/18 chord with steps of 27/25-25/21-27/25-36/25. | ||
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* 1-27/25-7/6-14/9 with steps of 27/25-27/25-4/3-9/7 and its inverse 1-27/25-7/6-3/2 with steps of 27/25-27/25-9/7-4/3; | * 1-27/25-7/6-14/9 with steps of 27/25-27/25-4/3-9/7 and its inverse 1-27/25-7/6-3/2 with steps of 27/25-27/25-9/7-4/3; | ||
* 1-27/25-7/6-25/18 with steps of 27/25-27/25-25/21-36/25 and its inverse 1-25/21-9/7-25/18 with steps of 25/21-27/25-27/25-36/25; | * 1-27/25-7/6-25/18 with steps of 27/25-27/25-25/21-36/25 and its inverse 1-25/21-9/7-25/18 with steps of 25/21-27/25-27/25-36/25; | ||
* 1- | * 1-25/18-3/2-27/14 with steps of 25/18-27/25-9/7-28/27 and its inverse 1-27/25-3/2-14/9 with steps of 27/25-25/18-28/27-9/7; | ||
* 1-27/25-25/18-27/14 with steps of 27/25-9/7-25/18-28/27 and its inverse 1-25/18-25/14-27/14 with steps of 25/18-9/7-27/25-28/27. | |||
For pentads, there are one palindromic chord and four pairs of chords in inverse relationship. The palindromic chord is | For pentads, there are one palindromic chord and four pairs of chords in inverse relationship. The palindromic chord is | ||
* 1-27/25- | * 1-27/25-7/6-3/2-14/9 chord with steps of 27/25-27/25-9/7-28/27-9/7. | ||
The inversely related pairs of chords are | The inversely related pairs of chords are | ||
* 1-27/25-25/18- | * 1-27/25-25/18-3/2-27/14 with steps of 27/25-9/7-27/25-9/7-28/27 and its inverse 1-9/7-25/18-25/14-27/14 with steps of 9/7-27/25-9/7-27/25-28/27; | ||
* 1-27/25- | * 1-27/25-7/6-25/18-3/2 with steps of 27/25-27/25-25/21-27/25-4/3 and its inverse 1-27/25-7/6-14/9-42/25 with steps of 27/25-27/25-4/3-27/25-25/21; | ||
* 1-27/25- | * 1-27/25-7/6-25/18-14/9 with steps of 27/25-27/25-25/21-28/25-9/7 and its inverse 1-27/25-7/6-3/2-42/25 with steps of 27/25-27/25-9/7-28/25-25/21; | ||
* 1- | * 1-25/18-3/2-25/14-27/14 with steps of 25/18-27/25-25/21-27/25-28/27 and its inverse 1-27/25-3/2-14/9-42/25 with steps of 27/25-25/18-28/27-27/25-25/21. | ||
They can be extended to hexads as | They can be extended to hexads as | ||
* 1-27/25- | * 1-27/25-7/6-25/18-3/2-14/9 with steps of 27/25-27/25-25/21-27/25-28/27-9/7 and its inverse 1-27/25-7/6-3/2-14/9-42/25 with steps of 27/25-27/25-9/7-28/27-27/25-25/21. | ||
Equal temperaments with ragismic chords include {{Optimal ET sequence|19, 53, 72, 99, 118, 152, 171, 224, 270, 323, 441, 494, 612, 665, 783, 935, 1106, 1277 and 1547}}. | Equal temperaments with ragismic chords include {{Optimal ET sequence|19, 53, 72, 99, 118, 152, 171, 224, 270, 323, 441, 494, 612, 665, 783, 935, 1106, 1277 and 1547}}. | ||