BudjarnLambeth at 10:06, 3 November 2024

2024-11-03T10:06:02Z

← Older revision		Revision as of 10:06, 3 November 2024
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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	[[Category:Commas named after ~~postal codes~~]]		[[Category:Commas named after place names]]

BudjarnLambeth at 08:39, 3 November 2024

2024-11-03T08:39:47Z

← Older revision		Revision as of 08:39, 3 November 2024
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

			[[Category:Commas named after postal codes]]

Francium: typo

2024-10-26T18:50:09Z

typo

← Older revision		Revision as of 18:50, 26 October 2024
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	== Etymology ==		== Etymology ==
	The honeybrookisma was named by [[Francium]] in 2024. It refers ~~tot he~~ postal code of Honey Brook, Pennsylvania.		The honeybrookisma was named by [[Francium]] in 2024. It refers to the postal code of Honey Brook, Pennsylvania.

	== See also ==		== See also ==
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

Francium: Created page with "{{Infobox Interval | Ratio = 19344/19343 | Name = honeybrookisma | Color name = 31o29uu23u3o-2
thiwobitwenu-atwethutho negative 2nd | Comma = yes }} '''19344/19343''', t..."

2024-10-19T20:16:39Z

Created page with "{{Infobox Interval | Ratio = 19344/19343 | Name = honeybrookisma | Color name = 31o29uu23u3o-2 <br> thiwobitwenu-atwethutho negative 2nd | Comma = yes }} '''19344/19343''', t..."

New page

{{Infobox Interval
| Ratio = 19344/19343
| Name = honeybrookisma
| Color name = 31o29uu23u3o-2 <br> thiwobitwenu-atwethutho negative 2nd
| Comma = yes
}}

'''19344/19343''', the '''honeybrookisma''', is a [[31-limit]] [[superparticular ratio|superparticular comma]] of about 0.089 [[cent]]s.

== Commatic relationships ==
This comma is the difference between the following superparticular pairs:
* [[2002/2001]] and [[2233/2232]]
* [[4992/4991]] and [[6728/6727]]
* [[5888/5887]] and [[8464/8463]]

It can be factored into following superparticular commas:
* [[20736/20735]] and [[288145/288144]]
* [[21736/21735]] and [[175770/175769]]

== Temperaments ==
Tempering out this comma leads to the rank-10 temperament '''honeybrookismic'''. Using the 2.3.13.23.29.31 subgroup leads to the rank-5 temperament '''honeybrookic'''.

=== Honeybrookismic ===

[[Subgroup]]: 2.3.5.7.11.13.17.19.23.29.31

[[Comma list]]: 19344/19343

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.954, ~5/4 = 386.314, ~7/4 = 968.826, ~11/8 = 551.318, ~13/8 = 840.520, ~17/16 = 104.955, ~19/16 = 297.513, ~23/16 = 628.286, ~29/16 = 1029.604

{{Optimal ET sequence|legend=1| 5cfik, 5eghjkk, 6fhijkk, 7deefghijjkkk, 7dghik, 7, 8di, 9jk, 10, 10h, 12de, 12e, 14cfjjkk, 14c, 15, 17cgk, 17cghk, 18ehijk, 19eghikk, 19egh, 19, 22i, 22fh, 26ik, 31fghjk, 31, 38dfijkk, 39dfgijk, 41i, 49fghjkk, 50, 53k, 56, 58hik, 62, 77g, 77, 80k, 94, 103h, 121ik, 140k, 145jk, 152fgjk, 159k, 183, 190g, 217, 243ek, 270, 311, 388, 436, 472, 487, 532dfghik, 540, 552g, 554ek, 571, 653, 692ik, 718, 863efgjk, 882, 908, 997, 1041, 1106, 1164fi, … }}

=== Honeybrookic ===

[[Subgroup]]: 2.3.13.23.29.31

[[Comma list]]: 19344/19343

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

[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 701.954, ~13/8 = 840.520, ~23/16 = 628.286, ~29/16 = 1029.604

{{Optimal ET sequence|legend=1| 5fik, 5f, 7ik, 7, 10, 12, 17k, 19, 29, 34, 39fijk, 41i, 43i, 51, 70, 94, 96k, 113, 135, 147, 241, 260, 311, 571, 718, 978, 1289, 1872, 2183, 2754, 3472, 5655, 7768, 8339, 10522 }}

== Etymology ==
The honeybrookisma was named by [[Francium]] in 2024. It refers tot he postal code of Honey Brook, Pennsylvania.

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]

Honeybrookisma - Revision history

BudjarnLambeth at 10:06, 3 November 2024

BudjarnLambeth at 08:39, 3 November 2024

Francium: typo

Francium: Created page with "{{Infobox Interval | Ratio = 19344/19343 | Name = honeybrookisma | Color name = 31o29uu23u3o-2 thiwobitwenu-atwethutho negative 2nd | Comma = yes }} '''19344/19343''', t..."

Francium: Created page with "{{Infobox Interval | Ratio = 19344/19343 | Name = honeybrookisma | Color name = 31o29uu23u3o-2
thiwobitwenu-atwethutho negative 2nd | Comma = yes }} '''19344/19343''', t..."