Nicolic chords: Difference between revisions

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'''Nicolic chords''' are [[dyadic chord|essentially tempered chords]] tempered by the nicola, [[1575/1573]].
'''Nicolic chords''' are [[dyadic chord|essentially tempered chords]] tempered by the nicola, [[1575/1573]].


There are three triads, six tetrads and two pentads as [[15-odd-limit]] essentially tempered chords.
Nicolic chords are of [[dyadic chord/Pattern of essentially tempered chords|pattern 1b]] in the [[15-odd-limit]]. There are 3 triads, 6 tetrads and 2 pentads for a total of 11 distinct chord structures.  


The nicolic triads include the following palindromic form,
The nicolic triads include the following palindromic form since it identifies [[13/7]] by a stack of two [[15/11]]'s:
* 1–[[15/11]][[13/7]] with steps of 15/11, 15/11, [[14/13]],
* 1–15/11–13/7 with steps of 15/11, 15/11, [[14/13]].


and a pair in inverse relationship,
And a pair in inverse relationship:
* 1–15/11–[[11/7]] with steps of 15/11, [[15/13]], [[14/11]], and
* 1–15/11–[[11/7]] with steps of 15/11, [[15/13]], [[14/11]], and its inverse
* 1–15/11–[[26/15]] with steps of 15/11, 14/11, 15/13.
* 1–15/11–[[26/15]] with steps of 15/11, 14/11, 15/13.