Francium: /* Etymology */

2025-01-18T17:49:07Z

Etymology

← Older revision		Revision as of 17:49, 18 January 2025
Line 85:		Line 85:

	== Etymology ==		== Etymology ==
	This comma was named by [[Francium]] in 2025. It refers to Brontesite, a mineral.		This comma was named by [[Francium]] in 2025. It refers to Brontesite, the mineral.

	== See also ==		== See also ==

Francium: /* Temperaments */ typo

2025-01-18T17:32:42Z

Temperaments: typo

← Older revision		Revision as of 17:32, 18 January 2025
Line 37:		Line 37:
	Adding the [[tunbarsma]], the [[squbema]] and the [[breedsma]] leads to [[schisennealimmal]].		Adding the [[tunbarsma]], the [[squbema]] and the [[breedsma]] leads to [[schisennealimmal]].

	Adding the [[swetisma]], the tunbarsma and the ~~squbea~~ leads to [[enneadecal]].		Adding the [[swetisma]], the tunbarsma and the squbema leads to [[enneadecal]].

	Adding the tunbarsma, the [[ibnsinma]], and the [[unisquarisma]] leads to [[piracy]].		Adding the tunbarsma, the [[ibnsinma]], and the [[unisquarisma]] leads to [[piracy]].

Francium: Created page with "{{Infobox Interval | Ratio = 2205/2197 | Name = brontesisma | Color name = 3u³zzy1
trithu-azozoyo unison | Comma = yes }} '''2205/2197''', the '''brontesisma'..."

2025-01-18T17:32:09Z

Created page with "{{Infobox Interval | Ratio = 2205/2197 | Name = brontesisma | Color name = 3u3zzy1 trithu-azozoyo unison | Comma = yes }} '''2205/2197''', the '''brontesisma'..."

New page

{{Infobox Interval
| Ratio = 2205/2197
| Name = brontesisma
| Color name = 3u3zzy1 trithu-azozoyo unison
| Comma = yes
}}

'''2205/2197''', the '''brontesisma''', is a [[13-limit]] (also [[3.5.7.13 subgroup]]) [[small comma]] of about 6.3 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following pairs:
* [[105/104]] and [[169/168]]
* [[126/125]] and [[4394/4375]]
* [[245/243]] and [[2197/2187]]
* [[351/343]] and [[1215/1183]]
* [[507/500]] and [[1323/1300]]
* [[1617/1600]] and [[24167/24000]]
* [[1875/1859]] and [[1625/1617]]

It can be factored into the following ratios:
* [[325/324]] and [[142884/142805]]
* [[351/350]] and [[85750/85683]]
* [[352/351]] and [[59535/59488]]
* [[364/363]] and [[114345/114244]]
* [[441/440]] and [[2200/2197]]
* [[625/624]] and [[21168/21125]]
* [[729/728]] and [[13720/13689]]
* [[847/845]] and [[1575/1573]]
* [[3136/3125]] and [[140625/140608]]
* [[31213/31104]] and [[1399680/1399489]]

== Temperaments ==
Tempering out this comma in the full 13-limit leads to the rank-5 temperament '''brontesismic'''. Using the 3.5.7.13 subgroup leads to the rank-3 temperament '''brontesite'''.

Adding the [[schismina]] leads to [[septidiasemi]].

Adding the [[tunbarsma]], the [[squbema]] and the [[breedsma]] leads to [[schisennealimmal]].

Adding the [[swetisma]], the tunbarsma and the squbea leads to [[enneadecal]].

Adding the tunbarsma, the [[ibnsinma]], and the [[unisquarisma]] leads to [[piracy]].

=== Brontesismic ===

[[Subgroup]]: 2.3.5.7.11.13

[[Comma list]]: 2205/2197

[[Mapping]]: 
{| class="right-all"
|-
| [⟨ || 1 || 1 || 2 || 4 || 3 || 4 || ],
|-
| ⟨ || 0 || 1 || 0 || 2 || 0 || 2 || ],
|-
| ⟨ || 0 || 0 || 1 || 1 || 0 || 1 || ],
|-
| ⟨ || 0 || 0 || 0 || -3 || 0 || -2 || ],
|-
| ⟨ || 0 || 0 || 0 || 0 || 1 || 0 || ]]
|}

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.769, ~5/4 = 386.114, ~13/7 = 1073.803, ~11/8 = 551.318

{{Optimal ET sequence|legend=1| 7, 9, 10, 16, 19e, 19, 26, 29, 38df, 45ef, 49f, 58, 84, 87, 103, 145, 152f, 190, 248, 342 }}

=== Brontesite ===

[[Subgroup]]: 3.5.7.13

[[Comma list]]: 2205/2197

[[Mapping]]: 
{| class="right-all"
| [⟨ || 1 || 1 || 3 || 3 || ],
|-
| ⟨ || 0 || 1 || 1 || 1 || ],
|-
| ⟨ || 0 || 0 || -3 || -2 || ]
|}

[[Optimal tuning]] ([[CTE]]): ~3 = 1\1, ~5/3 = 884.147, ~13/7 = 1073.935

[[Optimal ET sequence]]: {{EDs| b7, b9, b21, b23, b30, b39, b62, b69, b101, b131, b170, b271, b572f, b673f|equave=t}}

== Etymology ==
This comma was named by [[Francium]] in 2025. It refers to Brontesite, a mineral.

== See also ==
* [[Small comma]]

[[Category:Commas named after minerals]]

2205/2197 - Revision history

Francium: /* Etymology */

Francium: /* Temperaments */ typo

Francium: Created page with "{{Infobox Interval | Ratio = 2205/2197 | Name = brontesisma | Color name = 3u3zzy1 trithu-azozoyo unison | Comma = yes }} '''2205/2197''', the '''brontesisma'..."

Francium: Created page with "{{Infobox Interval | Ratio = 2205/2197 | Name = brontesisma | Color name = 3u³zzy1
trithu-azozoyo unison | Comma = yes }} '''2205/2197''', the '''brontesisma'..."