Cuthbert chords: Difference between revisions

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'''Cuthbert chords''' are [[essentially tempered dyadic chord]]s tempered by the cuthbert comma, [[847/845]].

~~The most typical cuthbert triad is a palindrome~~ in the 2.5.7.11.13 [[subgroup]] [[13-odd-limit]], consisting of two [[13/11]]'s making up [[7/5]], which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of

Cuthbert chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]] in the 2.5.7.11.13 [[subgroup]] [[13-odd-limit]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.

The most basic cuthbert triad is a palindrome, consisting of two [[13/11]]'s making up [[7/5]], which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of

* 1-13/11-7/5 with steps 13/11-13/11-10/7.

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* 1-14/13-13/11 with steps 14/13-11/10-22/13.

They can be extended to the following tetrads, with two palindromic chords and two pairs of chords in inverse relationship. The palindromic ~~chords~~ are

They can be extended to the following tetrads, with two palindromic chords and two pairs of chords in inverse relationship. The palindromic tetrads are

* 1-11/10-13/11-13/10 chord with steps 11/10-14/13-11/10-20/13;

* 1-14/13-13/11-14/11 chord with steps 14/13-11/10-14/13-11/7.

The inversely related pairs of ~~chords~~ are

The inversely related pairs of tetrads are

* 1-13/11-14/11-7/5 with steps 13/11-14/13-11/10-10/7, and its inverse

* 1-11/10-13/11-7/5 with steps 11/10-14/13-13/11-10/7;

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* 1-14/13-13/11-7/5 with steps 14/13-11/10-13/11-10/7.

Then there ~~are two~~ inversely related pentads:

Then there is an inversely related pair of pentads:

* 1-11/10-13/11-13/10-7/5 with steps 11/10-14/13-11/10-14/13-10/7, and its inverse

* 1-14/13-13/11-14/11-7/5 with steps 14/13-11/10-14/13-11/10-10/7.

@@ Line 1: / Line 1: @@
 '''Cuthbert chords''' are [[essentially tempered dyadic chord]]s tempered by the cuthbert comma, [[847/845]].
-The most typical cuthbert triad is a palindrome in the 2.5.7.11.13 [[subgroup]] [[13-odd-limit]], consisting of two [[13/11]]'s making up [[7/5]], which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of
+Cuthbert chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]] in the 2.5.7.11.13 [[subgroup]] [[13-odd-limit]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.
+The most basic cuthbert triad is a palindrome, consisting of two [[13/11]]'s making up [[7/5]], which implies tempering by cuthbert, the 847/845 comma. It is, in other words, the 847/845-tempered version of
 * 1-13/11-7/5 with steps 13/11-13/11-10/7.
@@ Line 8: / Line 10: @@
 * 1-14/13-13/11 with steps 14/13-11/10-22/13.
-They can be extended to the following tetrads, with two palindromic chords and two pairs of chords in inverse relationship. The palindromic chords are
+They can be extended to the following tetrads, with two palindromic chords and two pairs of chords in inverse relationship. The palindromic tetrads are
 * 1-11/10-13/11-13/10 chord with steps 11/10-14/13-11/10-20/13;
 * 1-14/13-13/11-14/11 chord with steps 14/13-11/10-14/13-11/7.
-The inversely related pairs of chords are
+The inversely related pairs of tetrads are
 * 1-13/11-14/11-7/5 with steps 13/11-14/13-11/10-10/7, and its inverse
 * 1-11/10-13/11-7/5 with steps 11/10-14/13-13/11-10/7;
@@ Line 18: / Line 20: @@
 * 1-14/13-13/11-7/5 with steps 14/13-11/10-13/11-10/7.
-Then there are two inversely related pentads:
+Then there is an inversely related pair of pentads:
 * 1-11/10-13/11-13/10-7/5 with steps 11/10-14/13-11/10-14/13-10/7, and its inverse
 * 1-14/13-13/11-14/11-7/5 with steps 14/13-11/10-14/13-11/10-10/7.