Minor minthmic chords: Difference between revisions

Line 1:

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]]

@@ Line 1: / Line 1: @@
-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]]