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'''Kevolismic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the kevolisma, [[1540/1539]].

Kevolismic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 2]] in the 2.3.5.7.11.19 [[subgroup]] [[19-odd-limit]], meaning that there are 6 triads, 15 tetrads and 6 pentads, for a total of 27 distinct chord structures.

For triads, there are three pairs of chords in inverse relationship:
* 1–11/9–19/14 with steps of 11/9–10/9–28/19, and its inverse
* 1–10/9–19/14 with steps of 10/9–11/9–28/19;
* 1–22/19–9/7 with steps of 22/19–10/9–14/9, and its inverse
* 1–10/9–9/7 with steps of 10/9–22/19–14/9;
* 1–11/9–9/7 with steps of 11/9–20/19–14/9, and its inverse
* 1–20/19–9/7 with steps of 20/19–11/9–14/9.

For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are
* 1–11/9–9/7–11/7 with steps of 11/9–20/19–11/9–14/11;
* 1–10/9–9/7–10/7 with steps of 10/9–22/19–10/9–7/5;
* 1–10/9–11/9–19/14 with steps of 10/9–11/10–10/9–28/19.

The inversely related pairs of chords are
* 1–11/9–19/14–11/7 with steps of 11/9–10/9–22/19–14/11, and its inverse
* 1–22/19–9/7–11/7 with steps of 22/19–10/9–11/9–14/11;
* 1–10/9–19/14–10/7 with steps of 10/9–11/9–20/19–7/5, and its inverse
* 1–20/19–9/7–10/7 with steps of 20/19–11/9–10/9–7/5;
* 1–11/9–9/7–19/14 with steps of 11/9–20/19–19/18–28/19, and its inverse
* 1–19/18–10/9–19/14 with steps of 19/18–20/19–11/9–28/19;
* 1–10/9–9/7–19/14 with steps of 10/9–22/19–19/18–28/19, and its inverse
* 1–19/18–11/9–19/14 with steps of 19/18–22/19–10/9–28/19;
* 1–22/19–11/9–9/7 with steps of 22/19–19/18–20/19–14/9, and its inverse
* 1–20/19–10/9–9/7 with steps of 20/19–19/18–22/19–14/9;
* 1–10/9–11/9–9/7 with steps of 10/9–11/10–20/19–14/9, and its inverse
* 1–20/19–22/19–9/7 with steps of 20/19–11/10–10/9–14/9.

For pentads, there are three pairs of chords in inverse relationship:
* 1–11/9–9/7–19/14–11/7 with steps of 11/9–20/19–19/18–22/19–14/11, and its inverse
* 1–22/19–11/9–9/7–11/7 with steps of 22/19–19/18–20/19–11/9–14/11;
* 1–10/9–11/9–9/7–19/14 with steps of 10/9–11/10–20/19–19/18–28/19, and its inverse
* 1–19/18–10/9–11/9–19/14 with steps of 19/18–20/19–11/10–10/9–28/19;
* 1–10/9–9/7–19/14–10/7 with steps of 10/9–22/19–19/18–20/19–7/5, and its inverse
* 1–20/19–10/9–9/7–10/7 with steps of 20/19–19/18–22/19–10/9–7/5.

Equal temperaments with kevolismic chords include {{Optimal ET sequence| 31, 41, 46, 53, 72, 94, 111, 118, 152, 270, 311, 342, 422 and 612 }}.

[[Category:19-odd-limit]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Kevolismic]]

Kevolismic chords - Revision history

Xenllium: Created page with "'''Kevolismic chords''' are essentially tempered chords tempered by the kevolisma, 1540/1539. Kevolismic chords are of Dyadic chord/Pattern of essentia..."