Minor minthmic chords: Difference between revisions

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A '''gentle tetrad''' is any of three [[13-limit]] [[Dyadic chord|essentially tempered tetrads]] in the gentle temperament, tempering out [[364/363]]. In close position, these have steps of size 14/11-13/11-7/6-8/7, 13/11-14/11-8/7-7/6 and 13/11-7/6-13/11-16/13, leading to the temperings of 1-14/11-3/2-7/4, 1-13/11-3/2-12/7 and 1-13/11-11/8-13/8. A gentle triad is any of four 13-limit essentially tempered triads in the gentle temperament. The supermajor gentle triad is a tempering of 1-14/11-3/2, and its inversion the subminor gentle triad is a tempering of 1-13/11-3/2. The gothic gentle triads are the temperings of 1-7/6-11/8 and its inversion 1-13/11-11/8. The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish. Equal divisions with gentle triads include {{EDOs|17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456}}.
A '''gentle chord''' is a [[13-odd-limit]] [[Dyadic chord|essentially tempered chord]] in the gentle temperament, tempering out the gentle comma, [[364/363]].  
 
A gentle triad is any of four 13-odd-limit essentially tempered triads in the gentle temperament.  
 
The ''supermajor gentle triad'' is a tempering of  
* 1-14/11-3/2
 
and its inversion the ''subminor gentle triad'' is a tempering of  
* 1-13/11-3/2
 
The ''gothic gentle triads'' are the temperings of  
* 1-7/6-11/8  
 
and its inversion  
* 1-13/11-11/8.  
 
The names refer to [[Margo Schulter]]'s [[Neo-gothic]] theory of harmony, which features a [[gentle region]] with a slightly sharpened fifth in which gentle triads and neogothic triads flourish.  
 
A gentle tetrad is any of three 13-limit essentially tempered tetrads in the gentle temperament.
 
In close position, these are temperings of
* 1-14/11-3/2-7/4, with steps of 14/11-13/11-7/6-8/7
* 1-13/11-3/2-12/7, with steps of 13/11-14/11-8/7-7/6
* 1-13/11-11/8-13/8, with steps of 13/11-7/6-13/11-16/13
 
Edo with gentle chords include {{EDOs| 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456 }}.


[[Category:13-limit]]
[[Category:13-limit]]

Revision as of 08:16, 10 April 2021

A gentle chord is a 13-odd-limit essentially tempered chord in the gentle temperament, tempering out the gentle comma, 364/363.

A gentle triad is any of four 13-odd-limit essentially tempered triads in the gentle temperament.

The supermajor gentle triad is a tempering of

  • 1-14/11-3/2

and its inversion the subminor gentle triad is a tempering of

  • 1-13/11-3/2

The gothic gentle triads are the temperings of

  • 1-7/6-11/8

and its inversion

  • 1-13/11-11/8.

The names refer to Margo Schulter's Neo-gothic theory of harmony, which features a gentle region with a slightly sharpened fifth in which gentle triads and neogothic triads flourish.

A gentle tetrad is any of three 13-limit essentially tempered tetrads in the gentle temperament.

In close position, these are temperings of

  • 1-14/11-3/2-7/4, with steps of 14/11-13/11-7/6-8/7
  • 1-13/11-3/2-12/7, with steps of 13/11-14/11-8/7-7/6
  • 1-13/11-11/8-13/8, with steps of 13/11-7/6-13/11-16/13

Edo with gentle chords include 17, 22, 29, 41, 46, 58, 72, 87, 104, 121, 130, 217, 232, 234, 289 and 456.

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