FloraC: Created page with "'''Frostmic chords''' are essentially tempered chords tempered by the frostma, 245/242. Frostmic chords are of Dyadic chord/Pattern of essentially temp..."

2024-10-11T16:01:46Z

Created page with "'''Frostmic chords''' are essentially tempered chords tempered by the frostma, 245/242. Frostmic chords are of Dyadic chord/Pattern of essentially temp..."

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'''Frostmic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the frostma, [[245/242]].

Frostmic chords are of [[Dyadic chord/Pattern of essentially tempered chords|pattern 1a]] in the 2.5.7.11 [[subgroup]] [[11-odd-limit]]. There are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures.

The three frostmic triads include a palindrome since it identifies [[8/5]] by a stack of two [[14/11]]'s:
* 1–5/4–11/7 with steps 5/4, 14/11, 14/11.

And an inversely related pair:
* 1–11/7–7/4 with steps 11/7, 11/10, 8/7, and its inverse
* 1–11/10–7/4 with steps 11/10, 11/7, 8/7.

They can be extended to the following palindromic tetrads:
* 1–11/8–11/7–7/4 with steps 11/8, 8/7, 11/10, 8/7;
* 1–11/10–11/7–7/4 with steps 11/10, 10/7, 11/10, 8/7.

And inversely related tetrads:
* 1–5/4–11/7–7/4 with steps 5/4, 14/11, 11/10, 8/7, and its inverse
* 1–5/4–10/7–11/7 with steps 5/4, 8/7, 11/10, 14/11;
* 1–5/4–11/8–11/7 with steps 5/4, 11/10, 8/7, 14/11, and its inverse
* 1–11/10–11/8–7/4 with steps 11/10, 5/4, 14/11, 8/7.

The inversely related pair of pentads are
* 1–5/4–11/8–11/7–7/4 with steps 5/4, 11/10, 8/7, 11/10, 8/7, and its inverse
* 1–11/10–11/8–11/7–7/4 with steps 11/10, 5/4, 8/7, 11/10, 8/7.

[[Equal temperament]]s with frostmic chords include {{Optimal ET sequence| 9, 12, 15, 23de, 24, 26, 27e, 38d, and 41 }}.

[[Category:11-odd-limit chords]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Pentads]]
[[Category:Frostmic]]

Frostmic chords - Revision history

FloraC: Created page with "'''Frostmic chords''' are essentially tempered chords tempered by the frostma, 245/242. Frostmic chords are of Dyadic chord/Pattern of essentially temp..."