Sensamagic chords: Difference between revisions

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A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].

The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the [[perfect fifth]] is prioritized.

The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:

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* 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,

* 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.

The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.

Equal temperaments with sensamagic chords include {{EDOs| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].

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 A '''sensamagic chord''' is an [[essentially tempered dyadic chord]] tempered by the sensamagic comma, [[245/243]].
+The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the [[perfect fifth]] is prioritized.
 The sensamagic triad is a sensamagic chord with three notes when reduced to the octave. One of the sensamagic triads in close position consists of two supermajor thirds, approximately [[9/7]], and a minor third, approximately [[6/5]], which closes at the octave because the sensamagic comma, 245/243, is tempered out:
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 * 1-7/6-9/7-3/2-5/3 with steps 7/6-10/9-7/6-10/9-6/5 and its inversion,
 * 1-7/6-9/7-3/2-9/5 with steps 7/6-10/9-7/6-6/5-10/9.
-The [[9-odd-limit]] sensamagic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]], meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.
 Equal temperaments with sensamagic chords include {{EDOs| 19, 22, 27, 41, 46, 65, 68, 87, 128, 196, 283 }}, with 283edo giving the [[optimal patent val]].