Island chords: Difference between revisions

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For triads, there are one palindromic chord and four pairs of chords in inverse relationship.

The palindromic triad consists of two [[semifourth]]s and one [[perfect fifth]], ~~equating~~ two ~~[[15/13]]s and one [[4/3]]~~:

The palindromic triad consists of two [[semifourth]]s and one [[perfect fifth]], splitting a fourth in two:

* 1-15/13-4/3 with steps of 15/13-15/13-3/2.

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For tetrads, there are seven palindromic chords and fifteen pairs of chords in inverse relationship.

One of the palindromic tetrads consists of three semifourths and one [[semisixth]],

* 1-13/10-3/2-26/15 with steps of 13/10-15/13-15/13-15/13.

Aside from above, the following palindromic tetrad also contains a [[List of root-3rd-P5 triads in JI|barbados triad]] (otonal 1-13/10-3/2 chord) and its inversion (utonal 1-15/13-3/2 chord),

* 1-15/13-13/10-3/2 with steps of 15/13-9/8-15/13-4/3.

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* 1-13/12-15/13-3/2 with steps of 13/12-16/15-13/10-4/3;

* 1-15/13-4/3-3/2 with steps of 15/13-15/13-9/8-4/3, and its inverse

* 1-15/13-4/3~~-16~~/9 with steps of 15/13-15/13-4/3~~-9/8~~;

* 1-9/8-13/10-3/2 with steps of 9/8-15/13-15/13-4/3;

* 1-5/4-4/3-13/9 with steps of 5/4-16/15-13/~~12-18/13~~, and its inverse

* 1-18/13-3/2-8/5 with steps of 18/13-13/12-16/15-5/4, and its inverse

* 1-13/12-15/13-13/9 with steps of 13/12-16/15-5/4-18/13;

* 1-13/12-3/2-15/8 with steps of 13/12-18/13-5/4-16/15;

* 1-15/13-13/10-13/9 with steps of 15/13-9/8-10/9-18/13, and its inverse

* 1-10/9-5/4-13/9 with steps of 10/9-9/8-15/13-18/13;

* 1-15/13-4/3-13/9 with steps of 15/13-15/13-~~13/12-18~~/13, and its inverse

* 1-18/13-3/2-26/15 with steps of 18/13-13/12-15/13-15/13, and its inverse

* 1-13/12-5/4-13/9 with steps of 13/12-15/13-15/13-18/13;

* 1-13/12-3/2-26/15 with steps of 13/12-18/13-15/13-15/13;

* 1-6/5-13/10-18/13 with steps of 6/5-13/12-16/15-13/9, and its inverse

* 1-16/15-15/13-18/13 with steps of 16/15-13/12-6/5-13/9;

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* 1-9/8-5/4-13/8-26/15 with steps of 9/8-10/9-13/10-16/15-15/13, and its inverse

* 1-15/13-16/13-8/5-16/9 with steps of 15/13-16/15-13/10-10/9-9/8;

* 1-15/13-5/4-4/3-20/13 with steps of 15/13-13/12-16/15-15/13~~-13/10~~, and its inverse

* 1-13/10-3/2-13/8-26/15 with steps of 13/10-15/13-13/12-16/15-15/13, and its inverse

* 1-15/13-16/13-4/3-20/13 with steps of 15/13-16/15-13/12-15/13~~-13/10~~;

* 1-13/10-3/2-8/5-26/15 with steps of 13/10-15/13-16/15-13/12-15/13;

* 1-15/13-4/3-13/9-20/13 with steps of 15/13-15/13-13/12-16/15~~-13/10~~, and its inverse

* 1-13/10-3/2-26/15-15/8 with steps of 13/10-15/13-15/13-13/12-16/15, and its inverse

* 1-16/15-15/13-4/3-20/13 with steps of 16/15-13/12-15/13-15/13~~-13/10~~;

* 1-13/10-18/13-3/2-26/15 with steps of 13/10-16/15-13/12-15/13-15/13;

* 1-15/13-5/4-13/9-20/13 with steps of 15/13-13/12-15/13-16/15~~-13/10~~, and its inverse

* 1-13/10-3/2-13/8-15/8 with steps of 13/10-15/13-13/12-15/13-16/15, and its inverse

* 1-16/15-16/13-4/3-20/13 with steps of ~~16/15-~~15/13-13/12-15/13-13/10;

* 1-15/13-3/2-8/5-24/13 with steps of 15/13-13/10-16/15-15/13-13/12;

* 1-6/5-13/10-18/13-3/2 with steps of 6/5-13/12-16/15-13/12-4/3, and its inverse

* 1-13/12-15/13-5/4-3/2 with steps of 13/12-16/15-13/12-6/5-4/3;

@@ Line 5: / Line 5: @@
 For triads, there are one palindromic chord and four pairs of chords in inverse relationship.
-The palindromic triad consists of two [[semifourth]]s and one [[perfect fifth]], equating two [[15/13]]s and one [[4/3]]:
+The palindromic triad consists of two [[semifourth]]s and one [[perfect fifth]], splitting a fourth in two:
 * 1-15/13-4/3 with steps of 15/13-15/13-3/2.
@@ Line 20: / Line 20: @@
 For tetrads, there are seven palindromic chords and fifteen pairs of chords in inverse relationship.
 One of the palindromic tetrads consists of three semifourths and one [[semisixth]],
 * 1-13/10-3/2-26/15 with steps of 13/10-15/13-15/13-15/13.
 Aside from above, the following palindromic tetrad also contains a [[List of root-3rd-P5 triads in JI|barbados triad]] (otonal 1-13/10-3/2 chord) and its inversion (utonal 1-15/13-3/2 chord),
 * 1-15/13-13/10-3/2 with steps of 15/13-9/8-15/13-4/3.
@@ Line 45: / Line 45: @@
 * 1-13/12-15/13-3/2 with steps of 13/12-16/15-13/10-4/3;
 * 1-15/13-4/3-3/2 with steps of 15/13-15/13-9/8-4/3, and its inverse
-* 1-15/13-4/3-16/9 with steps of 15/13-15/13-4/3-9/8;
+* 1-9/8-13/10-3/2 with steps of 9/8-15/13-15/13-4/3;
-* 1-5/4-4/3-13/9 with steps of 5/4-16/15-13/12-18/13, and its inverse
+* 1-18/13-3/2-8/5 with steps of 18/13-13/12-16/15-5/4, and its inverse
-* 1-13/12-15/13-13/9 with steps of 13/12-16/15-5/4-18/13;
+* 1-13/12-3/2-15/8 with steps of 13/12-18/13-5/4-16/15;
 * 1-15/13-13/10-13/9 with steps of 15/13-9/8-10/9-18/13, and its inverse
 * 1-10/9-5/4-13/9 with steps of 10/9-9/8-15/13-18/13;
-* 1-15/13-4/3-13/9 with steps of 15/13-15/13-13/12-18/13, and its inverse
+* 1-18/13-3/2-26/15 with steps of 18/13-13/12-15/13-15/13, and its inverse
-* 1-13/12-5/4-13/9 with steps of 13/12-15/13-15/13-18/13;
+* 1-13/12-3/2-26/15 with steps of 13/12-18/13-15/13-15/13;
 * 1-6/5-13/10-18/13 with steps of 6/5-13/12-16/15-13/9, and its inverse
 * 1-16/15-15/13-18/13 with steps of 16/15-13/12-6/5-13/9;
@@ Line 97: / Line 97: @@
 * 1-9/8-5/4-13/8-26/15 with steps of 9/8-10/9-13/10-16/15-15/13, and its inverse
 * 1-15/13-16/13-8/5-16/9 with steps of 15/13-16/15-13/10-10/9-9/8;
-* 1-15/13-5/4-4/3-20/13 with steps of 15/13-13/12-16/15-15/13-13/10, and its inverse
+* 1-13/10-3/2-13/8-26/15 with steps of 13/10-15/13-13/12-16/15-15/13, and its inverse
-* 1-15/13-16/13-4/3-20/13 with steps of 15/13-16/15-13/12-15/13-13/10;
+* 1-13/10-3/2-8/5-26/15 with steps of 13/10-15/13-16/15-13/12-15/13;
-* 1-15/13-4/3-13/9-20/13 with steps of 15/13-15/13-13/12-16/15-13/10, and its inverse
+* 1-13/10-3/2-26/15-15/8 with steps of 13/10-15/13-15/13-13/12-16/15, and its inverse
-* 1-16/15-15/13-4/3-20/13 with steps of 16/15-13/12-15/13-15/13-13/10;
+* 1-13/10-18/13-3/2-26/15 with steps of 13/10-16/15-13/12-15/13-15/13;
-* 1-15/13-5/4-13/9-20/13 with steps of 15/13-13/12-15/13-16/15-13/10, and its inverse
+* 1-13/10-3/2-13/8-15/8 with steps of 13/10-15/13-13/12-15/13-16/15, and its inverse
-* 1-16/15-16/13-4/3-20/13 with steps of 16/15-15/13-13/12-15/13-13/10;
+* 1-15/13-3/2-8/5-24/13 with steps of 15/13-13/10-16/15-15/13-13/12;
 * 1-6/5-13/10-18/13-3/2 with steps of 6/5-13/12-16/15-13/12-4/3, and its inverse
 * 1-13/12-15/13-5/4-3/2 with steps of 13/12-16/15-13/12-6/5-4/3;