Neovulturismic chords

Neovulturismic chords are essentially tempered chords tempered by the neovulturisma, 2926/2925.

Neovulturismic chords are of pattern 2 in the 2.3.5.7.11.13.19 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:

• 1–15/11–19/13 with steps of 15/11, 15/14, 26/19, and its inverse
• 1–15/14–19/13 with steps of 15/14, 15/11, 26/19;
• 1–19/15–15/11 with steps of 19/15, 14/13, 22/15, and its inverse
• 1–14/13–15/11 with steps of 14/13, 19/15, 22/15;
• 1–13/11–19/15 with steps of 13/11, 15/14, 30/19, and its inverse
• 1–15/14–19/15 with steps of 15/14, 13/11, 30/19.

For tetrads, there are three palindromic chords and six pairs of chords in inverse relationship. The palindromic chords are

• 1–19/15–15/11–19/11 with steps of 19/15, 14/13, 19/15, 22/19;
• 1–15/14–19/15–19/14 with steps of 15/14, 13/11, 15/14, 28/19;
• 1–15/14–15/11–19/13 with steps of 15/14, 14/11, 15/14, 26/19.

The inversely related pairs of chords are

• 1–19/15–15/11–19/13 with steps of 19/15, 14/13, 15/14, 26/19, and its inverse
• 1–15/14–15/13–19/13 with steps of 15/14, 14/13, 19/15, 26/19;
• 1–14/13–15/11–19/13 with steps of 14/13, 19/15, 15/14, 26/19, and its inverse
• 1–15/14–19/14–19/13 with steps of 15/14, 19/15, 14/13, 26/19;
• 1–15/13–15/11–19/13 with steps of 15/13, 13/11, 15/14, 26/19, and its inverse
• 1–15/14–19/15–19/13 with steps of 15/14, 13/11, 15/13, 26/19;
• 1–15/11–19/13–19/11 with steps of 15/11, 15/14, 13/11, 22/19, and its inverse
• 1–13/11–19/15–19/11 with steps of 13/11, 15/14, 15/11, 22/19;
• 1–13/11–19/15–15/11 with steps of 13/11, 15/14, 14/13, 22/15, and its inverse
• 1–14/13–15/13–15/11 with steps of 14/13, 15/14, 13/11, 22/15;
• 1–15/14–19/15–15/11 with steps of 15/14, 13/11, 14/13, 22/15, and its inverse
• 1–14/13–14/11–15/11 with steps of 14/13, 13/11, 15/14, 22/15.

For pentads, there are three pairs of chords in inverse relationship:

• 1–14/13–15/13–15/11–19/13 with steps of 14/13, 15/14, 13/11, 15/14, 26/19, and its inverse
• 1–15/14–19/15–19/14–19/13 with steps of 15/14, 13/11, 15/14, 14/13, 26/19;
• 1–15/14–19/15–15/11–19/13 with steps of 15/14, 13/11, 14/13, 15/14, 26/19, and its inverse
• 1–15/14–15/13–15/11–19/13 with steps of 15/14, 14/13, 13/11, 15/14, 26/19;
• 1–19/15–15/11–19/13–19/11 with steps of 19/15, 14/13, 15/14, 13/11, 22/19, and its inverse
• 1–13/11–19/15–15/11–19/11 with steps of 13/11, 15/14, 14/13, 19/15, 22/19.

Equal temperaments with neovulturismic chords include 41, 53, 87, 94, 111, 130, 140, 159, 190, 217, 270, 311, 422, 460, 581, 742, 795 and 1012.