Swetismic chords: Difference between revisions

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 * 1-9/7-10/7-11/7-11/6 with steps 9/7-10/9-11/10-7/6-12/11.
-If we are willing to consider the [[15-odd-limit]], there are also 15-odd-limit swetismic tetrads of 1-9/7-3/2-7/4, 1-7/6-3/2-12/7, 1-11/9-10/7-5/3 and 1-7/6-15/11-5/3 with steps 9/7-7/6-7/6-8/7, 7/6-9/7-8/7-7/6, 11/9-7/6-7/6-6/5 and 7/6-7/6-11/9-6/5.
+If we are willing to consider the [[15-odd-limit]], there are also 15-odd-limit swetismic tetrads, including something important for functional harmony. The ''swetismic dominant seventh chord'' is a tempering of
+* 1-9/7-3/2-7/4 with steps 9/7-7/6-7/6-8/7.
+Its inversion might be called the ''swetismic half-diminished chord'', a tempering of
+* 1-7/6-3/2-12/7 with steps 7/6-9/7-8/7-7/6.
+We also have
+* 1-11/9-10/7-5/3 with steps 11/9-7/6-7/6-6/5; and its inverse
+* 1-7/6-15/11-5/3 with steps 7/6-7/6-11/9-6/5.
 [[Equal temperament]]s with swetismic chords include {{EDOs|19, 22, 31, 41, 53, 58, 72, 80, 94, 103, 111, 121, 130, 152, 183, 205, 224, 354, 537, 578, 761d, 1115de, 1339de, 1491de, 1715de and 1845de }}.