Jacobin chords

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Revision as of 03:10, 8 June 2023 by FloraC (talk | contribs) (Rework. Some of them weren't essentially tempered)
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Jacobin chords are essentially tempered dyadic chords tempered by the jacobin comma, 6656/6655.

Since the temperament is very complex, even the simplest jacobin chords are 55-odd-limit. There are

  • 1-11/8-16/11 with steps 11/8-55/52-11/8;
  • 1-64/55-11/8 with steps 64/55-13/11-16/11, and its inverse
  • 1-13/11-11/8 with steps 13/11-64/55-16/11.

For tetrads, there are

  • 1-11/8-16/11-104/55 with steps 11/8-55/52-13/10-55/52;
  • 1-13/11-11/8-104/55 with steps 13/11-64/55-11/8-55/52, and its inverse
  • 1-64/55-11/8-16/11 with steps 64/55-13/11-55/52-11/8;
  • 1-64/55-11/8-104/55 with steps 64/55-13/11-11/8-55/52, and its inverse
  • 1-13/11-11/8-16/11 with steps 13/11-64/55-55/52-11/8.
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