Sinbadmic chords: Difference between revisions

Line 2:

The triads are of the form

* 1-[[7/5]]-[[20/13]], with steps [[7/5]]-[[11/10]]-[[13/10]],

* 1-[[7/5]]-[[20/13]], with steps of [[7/5]]-[[11/10]]-[[13/10]],

and its inversion,

* 1-[[7/5]]-[[20/11]], with steps [[7/5]]-[[13/10]]-[[11/10]].

* 1-[[7/5]]-[[20/11]], with steps of [[7/5]]-[[13/10]]-[[11/10]].

It leads to ~~a tetrad,~~

It leads to following tetrads:

* 1-[[11/10]]-[[13/10]]-[[10/7]] ~~in one voicing, which has~~ steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]].

* 1-[[11/10]]-[[13/10]]-[[10/7]] with steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]];

* 1-[[11/10]]-[[10/7]]-[[11/7]] with steps of [[11/10]]-[[13/10]]-[[11/10]]-[[14/11]];

* 1-[[13/10]]-[[10/7]]-[[13/7]] with steps of [[13/10]]-[[11/10]]-[[13/10]]-[[14/13]].

Equal temperaments with sinbadmic chords include {{~~EDOs~~| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].

Equal temperaments with sinbadmic chords include {{Optimal ET sequence| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].

The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights|tales of 1001 Nights]].

@@ Line 2: / Line 2: @@
 The triads are of the form
-* 1-[[7/5]]-[[20/13]], with steps [[7/5]]-[[11/10]]-[[13/10]],
+* 1-[[7/5]]-[[20/13]], with steps of [[7/5]]-[[11/10]]-[[13/10]],
 and its inversion,
-* 1-[[7/5]]-[[20/11]], with steps [[7/5]]-[[13/10]]-[[11/10]].
+* 1-[[7/5]]-[[20/11]], with steps of [[7/5]]-[[13/10]]-[[11/10]].
-It leads to a tetrad,
+It leads to following tetrads:
-* 1-[[11/10]]-[[13/10]]-[[10/7]] in one voicing, which has steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]].
+* 1-[[11/10]]-[[13/10]]-[[10/7]] with steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]];
+* 1-[[11/10]]-[[10/7]]-[[11/7]] with steps of [[11/10]]-[[13/10]]-[[11/10]]-[[14/11]];
+* 1-[[13/10]]-[[10/7]]-[[13/7]] with steps of [[13/10]]-[[11/10]]-[[13/10]]-[[14/13]].
-Equal temperaments with sinbadmic chords include {{EDOs| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].
+Equal temperaments with sinbadmic chords include {{Optimal ET sequence| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].
 The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights|tales of 1001 Nights]].