Nicolic chords: Difference between revisions

Revision as of 15:47, 13 June 2020

The nicolic tetrad in close position is a 1-15/13-15/11-11/7 in a temperament where the nicola, 1575/1573, is tempered out. It therefore has steps of 15/13-13/11-15/13-14/11, and is a 15-limit chord. Equal divisions with nicolic tetrads include 58edo, 72edo, 87edo, 103edo, 121edo, 130edo, 190edo, 217edo, 224edo, 311edo, 414edo, 441edo, 665edo and 855edo.

Ratio	1/1	15/13	15/11	11/7
Cents	0	248	537	782
Sound	File:Nocolic tetrad.mp3

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-The '''nicolic tetrad''' in close position is a [[Unisone|1]]-[[15/13]]-[[15/11]]-[[11/7]] in a temperament where the [[nicola]], 1575/1573, is [[tempering out|tempered out]]. It therefore has steps of 15/13-[[13/11]]-15/13-[[14/11]], and is a [[15-limit]] chord. [[Equal]] divisions with nicolic tetrads include [[58edo]], [[72edo]], [[87edo]], [[103edo]], [[121edo]], [[130edo]], [[190edo]], [[217edo]], [[224edo]], [[311edo]], [[414edo]], [[441edo]], [[665edo]] and [[855edo]].
+The '''nicolic tetrad''' in close position is a [[Unison|1]]-[[15/13]]-[[15/11]]-[[11/7]] in a temperament where the [[nicola]], 1575/1573, is [[tempering out|tempered out]]. It therefore has steps of 15/13-[[13/11]]-15/13-[[14/11]], and is a [[15-limit]] chord. [[Equal]] divisions with nicolic tetrads include [[58edo]], [[72edo]], [[87edo]], [[103edo]], [[121edo]], [[130edo]], [[190edo]], [[217edo]], [[224edo]], [[311edo]], [[414edo]], [[441edo]], [[665edo]] and [[855edo]].
+{| class="wikitable center-all" style="column-width:10em"
+! Ratio
+! [[Unison|1/1]] || [[15/13]] || [[15/11]] || [[11/7]]
+|-
+! Cents
+| 0 || 248 || 537 || 782
+|-
+! Sound
+| colspan="4" | [[File:Nocolic tetrad.mp3]]
+|}
 [[Category:15-limit]]
-[[Category:Chords]]
 [[Category:Dyadic]]
 [[Category:Nicola]]
 [[Category:Nicolic]]
 [[Category:Tetrad]]
+[[Category:Listen]]