Swetismic chords: Difference between revisions

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A '''swetismic chord''' is a swetismic (540/539) 11-odd-limit [[essentially tempered chord]].

A '''swetismic chord''' is a swetismic ([[540/539]]) 11-odd-limit [[essentially tempered chord]].

There are six swetismic triads, consisting of three pairs of chords in inverse relationship:

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The 11 limit swetismic chords number triads: 6, tetrads: 15, pentads: 6 for a total of 27.

If we are willing to consider the 15-limit, there are also 15-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 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.

Equal temperaments 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}}.

[[Category:11-odd-limit]]

~~[[Category:Chords]]~~

[[Category:Essentially tempered chords]]

[[Category:~~Dyadic~~]]

[[Category:Triad]]

[[Category:Tetrad]]

[[Category:Pentad]]

[[Category:Swetismic]]

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-A '''swetismic chord''' is a swetismic (540/539) 11-odd-limit [[essentially tempered chord]].
+A '''swetismic chord''' is a swetismic ([[540/539]]) 11-odd-limit [[essentially tempered chord]].
 There are six swetismic triads, consisting of three pairs of chords in inverse relationship:
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 The 11 limit swetismic chords number triads: 6, tetrads: 15, pentads: 6 for a total of 27.
-If we are willing to consider the 15-limit, there are also 15-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 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.
 Equal temperaments 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}}.
 [[Category:11-odd-limit]]
-[[Category:Chords]]
 [[Category:Essentially tempered chords]]
-[[Category:Dyadic]]
+[[Category:Triad]]
+[[Category:Tetrad]]
+[[Category:Pentad]]
 [[Category:Swetismic]]
-{{Todo|add links}}
+{{Todo| add links }}