Jacobin chords: Difference between revisions
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Jacobin chords are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, 6656/6655. | Jacobin chords are [[essentially tempered dyadic chord]]s tempered by the jacobin comma, 6656/6655. | ||
There are | There are seven chords in total involving this comma. The notation assumes each interval is the interval from the chord and not from the tonic. There are 5 triads: | ||
* 1/1 - 55/52 - 11/8 - 11/8 | * 1/1 - 55/52 - 11/8 - 11/8 | ||
| Line 8: | Line 8: | ||
* 1/1 - 13/11 - 8/5 - 128/121 | * 1/1 - 13/11 - 8/5 - 128/121 | ||
* 1/1 - 5/4 - 11/8 - 121/104 | * 1/1 - 5/4 - 11/8 - 121/104 | ||
And 2 tetrads which both span two octaves: | |||
* 20/13 - 11/8 - 11/8 - 11/8 across 4/1 | |||
* 13/11 - 8/5 - 16/11 - 16/11 across 4/1 | |||
[[Category:Jacobin]] | [[Category:Jacobin]] | ||
[[Category:Essentially tempered chords]] | [[Category:Essentially tempered chords]] | ||
[[Category:Triads]] | [[Category:Triads]] | ||
[[Category:Tetrads]] | |||
Revision as of 21:51, 7 June 2023
Jacobin chords are essentially tempered dyadic chords tempered by the jacobin comma, 6656/6655.
There are seven chords in total involving this comma. The notation assumes each interval is the interval from the chord and not from the tonic. There are 5 triads:
- 1/1 - 55/52 - 11/8 - 11/8
- 1/1 - 64/55 - 13/11 - 16/11
- 1/1 - 13/10 - 16/11 - 128/121
- 1/1 - 13/11 - 8/5 - 128/121
- 1/1 - 5/4 - 11/8 - 121/104
And 2 tetrads which both span two octaves:
- 20/13 - 11/8 - 11/8 - 11/8 across 4/1
- 13/11 - 8/5 - 16/11 - 16/11 across 4/1