Xenllium: fixed typo

2025-02-20T14:43:04Z

fixed typo

← Older revision		Revision as of 14:43, 20 February 2025
Line 15:		Line 15:
	* 1–9/8–17/12–3/2 with steps of 9/8–24/19–18/17–4/3, and its inverse		* 1–9/8–17/12–3/2 with steps of 9/8–24/19–18/17–4/3, and its inverse
	* 1–18/17–4/3–3/2 with steps of 18/17–24/19–9/8–4/3;		* 1–18/17–4/3–3/2 with steps of 18/17–24/19–9/8–4/3;
	* 1–24/~~19–3~~/~~2–17~~/12 with steps of 24/~~19–18~~/~~17–17~~/~~16–24~~/17, and its inverse		* 1–24/17–3/2–19/12 with steps of 24/17–17/16–18/17–24/19, and its inverse
	* 1–17/~~16–9~~/~~8–17~~/12 with steps of 17/~~16–18~~/17–24/~~19–24~~/17;		* 1–17/16–3/2–17/9 with steps of 17/16–24/17–24/19–18/17;
	* 1–24/19–17/12–3/2 with steps of 24/19–9/8–18/17–4/3, and its inverse		* 1–24/19–17/12–3/2 with steps of 24/19–9/8–18/17–4/3, and its inverse
	* 1–18/17–19/16–3/2 with steps of 18/17–9/8–24/19–4/3.		* 1–18/17–19/16–3/2 with steps of 18/17–9/8–24/19–4/3.

Xenllium: Created page with "'''Photismic chords''' are essentially tempered dyadic chords tempered by the photisma, 324/323. There are two triads, nine tetrads, seven pentads and on..."

2025-02-20T14:39:38Z

Created page with "'''Photismic chords''' are essentially tempered dyadic chords tempered by the photisma, 324/323. There are two triads, nine tetrads, seven pentads and on..."

New page

'''Photismic chords''' are [[Dyadic chord|essentially tempered dyadic chords]] tempered by the photisma, [[324/323]].

There are two triads, nine tetrads, seven pentads and one hexad as 2.3.17.19 subgroup [[19-odd-limit]] essentially tempered chords.

The two photismic triads are in inverse relationship:
* 1–24/19–17/12 with steps of 24/19–9/8–24/17;
* 1–9/8–17/12 with steps of 9/8–24/19–24/17.

For tetrads, there are three palindromic chords and three pairs of chords in inverse relationship. The palindromic chords are
* 1–9/8–17/12–19/12 with steps of 9/8–24/19–19/17–24/19;
* 1–17/12–3/2–17/9 with steps of 17/12–18/17–24/19–18/17;
* 1–18/17–9/8–19/16 with steps of 18/17–17/16–18/17–32/19.

The inversely related pairs of chords are
* 1–9/8–17/12–3/2 with steps of 9/8–24/19–18/17–4/3, and its inverse
* 1–18/17–4/3–3/2 with steps of 18/17–24/19–9/8–4/3;
* 1–24/19–3/2–17/12 with steps of 24/19–18/17–17/16–24/17, and its inverse
* 1–17/16–9/8–17/12 with steps of 17/16–18/17–24/19–24/17;
* 1–24/19–17/12–3/2 with steps of 24/19–9/8–18/17–4/3, and its inverse
* 1–18/17–19/16–3/2 with steps of 18/17–9/8–24/19–4/3.

For pentads, there are one palindromic chord and three pairs of chords in inverse relationship. The palindromic chord is
* 1–9/8–17/12–3/2–19/12 with steps of 9/8–24/19–18/17–18/17–24/19.

The inversely related pairs of chords are
* 1–17/16–9/8–17/12–3/2 with steps of 17/16–18/17–24/19–18/17–4/3, and its inverse
* 1–18/17–4/3–24/17–3/2 with steps of 18/17–24/19–18/17–17/16–4/3;
* 1–24/19–4/3–17/12–3/2 with steps of 24/19–18/17–17/16–18/17–4/3, and its inverse
* 1–18/17–9/8–19/16–3/2 with steps of 18/17–17/16–18/17–24/19–4/3;
* 1–9/8–19/16–3/2–19/12 with steps of 9/8–18/17–24/19–18/17–24/19, and its inverse
* 1–18/17–19/16–3/2–19/12 with steps of 18/17–9/8–24/19–18/17–24/19.

Finally, there is a palindromic hexad,
* 1–18/17–4/3–24/17–3/2–19/12 with steps of 18/17–24/19–18/17–17/16–18/17–24/19.

[[Equal temperament]]s with photismic chords include {{Optimal ET sequence| 12, 14, 26, 29, 38, 65, 77, 89, 101 and 113 }}.

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

Photismic chords - Revision history

Xenllium: fixed typo

Xenllium: Created page with "'''Photismic chords''' are essentially tempered dyadic chords tempered by the photisma, 324/323. There are two triads, nine tetrads, seven pentads and on..."