Ursulismic chords

Ursulismmic chords are essentially tempered chords tempered by the ursulisma, 375/374.

The ursulismic triads include the following inversely related pairs:

• 1-5/4-17/10 with steps 5/4-15/11-20/17, and its inverse
• 1-5/4-22/15 with steps 5/4-20/17-15/11;
• 1-17/15-5/4 with steps 17/15-11/10-8/5, and its inverse
• 1-11/10-5/4 with steps 11/10-17/15-8/5;
• 1-17/10-15/8 with steps 17/10-11/10-16/15, and its inverse
• 1-11/10-15/8 with steps 11/10-17/10-16/15;
• 1-22/15-5/3 with steps 22/15-17/15-6/5, and its inverse
• 1-17/15-5/3 with steps 17/15-22/15-6/5.

They can be extended to the following palindromic tetrads:

• 1-11/10-17/10-15/8 with steps 11/10-17/11-11/10-16/15;
• 1-17/15-22/15-5/3 with steps 17/15-22/17-17/15-6/5.

And the following inversely related tetrads:

• 1-5/4-3/2-17/10 with steps 5/4-6/5-17/15-20/17, and its inverse
• 1-6/5-3/2-30/17 with steps 6/5-5/4-20/17-17/15;
• 1-11/10-3/2-15/8 with steps 11/10-15/11-5/4-16/15, and its inverse
• 1-15/11-3/2-8/5 with steps 15/11-11/10-16/15-5/4;
• 1-11/10-5/4-3/2 with steps 11/10-17/15-6/5-4/3, and its inverse
• 1-6/5-15/11-3/2 with steps 6/5-17/15-11/10-4/3;
• 1-3/2-17/10-15/8 with steps 3/2-17/15-11/10-16/15, and its inverse
• 1-3/2-8/5-30/17 with steps 3/2-16/15-11/10-17/15;

• 1-17/15-5/4-22/15 with steps 17/15-11/10-20/17-15/11, and its inverse
• 1-11/10-5/4-17/10 with steps 11/10-17/15-15/11-20/17.

For pentads, there are

• 1-11/10-5/4-3/2-15/8 with steps 11/10-17/15-6/5-5/4-16/15, and its inverse
• 1-6/5-15/11-3/2-8/5 with steps 1-6/5-17/15-11/10-16/15-5/4;
• 1-11/10-5/4-3/2-17/10 with steps 11/10-17/15-6/5-17/15-20/17, and its inverse
• 1-6/5-15/11-3/2-30/17 with steps 6/5-17/15-11/10-20/17-17/15;
• 1-11/10-3/2-17/10-15/8 with steps 11/10-15/11-17/15-11/10-16/15, and its inverse
• 1-15/11-3/2-8/5-30/17 with steps 15/11-11/10-16/15-11/10-17/15;

Finally, there is a palindromic hexad:

• 1-11/10-5/4-3/2-17/10-15/8 with steps 11/10-17/15-6/5-17/15-11/10-16/15.