Buzurgismic chords: Difference between revisions

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'''Buzurgismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the buzurgisma, [[169/168]].

The [[buzurgismic]] temperament is very comparable to the [[biyatismic]] temperament. It has two triads, nine tetrads, seven pentads and one hexad in the 2.3.7.13 subgroup [[13-odd-limit]].

The [[buzurgismic]] temperament is very comparable to the [[Biyatismic temperaments|biyatismic]] temperament. It has two triads, nine tetrads, seven pentads and one hexad in the 2.3.7.13 subgroup [[13-odd-limit]].

The two buzurgismic triads are in inverse relationship:

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* 1-13/12-18/13-3/2 with steps 13/12-9/7-13/12-4/3.

The inversely related pairs of chords are

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

* 1-13/12-3/2-13/7 with steps 13/12-18/13-16/13-13/12;

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* 1-9/8-18/13-3/2-13/8 with steps 9/8-16/13-13/12-13/12-16/13.

The inversely related pairs of chords are

* 1-13/12-7/6-3/2-13/8 with steps 13/12-13/12-9/7-13/12-16/13, and its inverse

* 1-9/7-18/13-3/2-13/7 with steps 9/7-13/12-13/12-16/13-13/12;

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Finally, there is a palindromic hexad,

* 1-13/12-7/6-3/2-13/8-7/4 with steps 13/12-13/12-9/7-13/12-13/12-8/7.

Equal temperaments with buzurgismic chords include {{Optimal ET sequence|7, 9, 10, 17, 19, 26, 27, 36, 46, 53, 63 and 72}}.

[[Category:13-odd-limit]]

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 '''Buzurgismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the buzurgisma, [[169/168]].
-The [[buzurgismic]] temperament is very comparable to the [[biyatismic]] temperament. It has two triads, nine tetrads, seven pentads and one hexad in the 2.3.7.13 subgroup [[13-odd-limit]].
+The [[buzurgismic]] temperament is very comparable to the [[Biyatismic temperaments|biyatismic]] temperament. It has two triads, nine tetrads, seven pentads and one hexad in the 2.3.7.13 subgroup [[13-odd-limit]].
 The two buzurgismic triads are in inverse relationship:
@@ Line 12: / Line 12: @@
 * 1-13/12-18/13-3/2 with steps 13/12-9/7-13/12-4/3.
 The inversely related pairs of chords are
 * 1-18/13-3/2-13/8 with steps 18/13-13/12-13/12-16/13, and its inverse
 * 1-13/12-3/2-13/7 with steps 13/12-18/13-16/13-13/12;
@@ Line 23: / Line 23: @@
 * 1-9/8-18/13-3/2-13/8 with steps 9/8-16/13-13/12-13/12-16/13.
 The inversely related pairs of chords are
 * 1-13/12-7/6-3/2-13/8 with steps 13/12-13/12-9/7-13/12-16/13, and its inverse
 * 1-9/7-18/13-3/2-13/7 with steps 9/7-13/12-13/12-16/13-13/12;
@@ Line 33: / Line 33: @@
 Finally, there is a palindromic hexad,
 * 1-13/12-7/6-3/2-13/8-7/4 with steps 13/12-13/12-9/7-13/12-13/12-8/7.
+Equal temperaments with buzurgismic chords include {{Optimal ET sequence|7, 9, 10, 17, 19, 26, 27, 36, 46, 53, 63 and 72}}.
 [[Category:13-odd-limit]]